Computa(onal	methods	for	
integra(ve	omics	and	rela(on	
discovery	between	biomedical	
en((es	
	
	
Feb	11,	2016	
Karan	Uppal	(PhD)	and	Sophia	A.	Banton	(MS,	PhD	
candidate)	
Clinical	Biomarkers	Laboratory	
Emory	University	School	of	Medicine
Learning	Objec(ves	
•  Data-driven	methods	for	integra(ng	paired	–
omics	data	and	visualizing	associa(ons	(Karan	
Uppal)	
•  Knowledge-driven	methods	for	integra(ng	
paired	–omics	data	(Sophia	Banton)
•  Pa(ent	
medical	
records	
•  Clinical	notes	
•  Lab	results,	
etc.	
A)  Electronic	
Health	Records	
(EHR)	
C)	Omics	data	
Metabolo
mics	
GWAS	Epigenomics	
	
Transcriptomi
cs 		
Proteomi
cs	
B)	Scien(fic	
literature	
Cochrane	
Library	
PubMed	
Pa(ent	
(disease/symptoms)	
Clinician	
Data	sources	to	
support	healthcare	
decision	making	and	
facilitate	precision	
medicine	
Other	
“omes”	
Systems	Biology
Introduc6on:	A	Systems	Biology	Framework	
•  The	goal	of	Systems	Biology:	
–  Systems-level	understanding	of	biological	systems	
–  Analyze	not	only	individual	components,	but	their	interac(ons	as	well	and	
emergent	behavior	
4
Internal measurements
Exposures
Disease states
Systems Biology
“Integrative approach in which scientists study pathways and
networks will touch all areas of biology, including drug
discovery”
C. Henry and C. Washington
Dissec6ng	the	Biological	system	via	-omics	
5	
Ritchie MD, Holzinger ER, Li R, Pendergrass SA, Kim D. 2015. Methods of integrating data to uncover genotype-phenotype interactions. Nat Rev Genet
16:85-97.
Dissec6ng	the	Biological	system	via	-omics	
6	
Ritchie MD, Holzinger ER, Li R, Pendergrass SA, Kim D. 2015. Methods of integrating data to uncover genotype-phenotype interactions. Nat Rev Genet
16:85-97.
“Informa6on	Overload”:	>10,000	variables	per	–omics	experiment
Ritchie MD, Holzinger ER, Li R, Pendergrass SA, Kim D. 2015. Methods of integrating data to uncover genotype-phenotype interactions. Nat Rev
Genet 16:85-97.
Meta-dimensional analysis can be divided into three categories. a | Concatenation-based integration involves combining data sets
from different data types at the raw or processed data level before modelling and analysis. b | Transformation-based integration
involves performing mapping or data transformation of the underlying data sets before analysis, and the modelling approach is
applied at the level of transformed matrices. c | Model-based integration is the process of performing analysis on each data type
independently, followed by integration of the resultant models to generate knowledge about the trait of interest. miRNA, microRNA;
SNP, single-nucleotide polymorphism.
Methods of omics integration
7
Data-driven	methods	for	
integra(on
Paired	integra(ve	–omics	analysis	
•  Discover	networks	of	associa(ons	or	correlated	
variables	(genes,	proteins,	metabolites,	microbiome,	
epigene(c	altera(ons,	clinical	variables,	etc.)	from	
paired	–omics	data	measured	across	same	samples	
–  Univariate	or	mul(variate	regression	
–  Example:	explaining	protein	abundance	with	respect	to	
gene	expression	
•  Determine	if	different	–omics	data	point	to	same	
disease	mechanism	
•  Generate	novel	hypotheses	for	further	inves(ga(on
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
G1	 G2	 -	 Gn	
Subject1	 19	 19	 -	 100	
Subject2	 10	 40	 -	 90	
-	 -	 -	 -	 -	
SubjectN	 10	 40	 -	 50	
M1	 M2	 -	 Mn	
Subject1	 199	 19	 -	 100	
Subject2	 10	 40	 90	
-	 -	 -	 -	
SubjectN	 50	 30	 -	 20	
G1	 G2	 -	 Gn	
M1	 0.4	 0.9	 -	 0.3	
M2	 0.7	 0.1	 -	 0.5	
M3	 0.1	 0.6	 0.8	
Relevance	networks	
Workflow	
Metabolomics	data	
(n	subjects	X	p	metabolites)	
Transcriptomics	data		
(n	subjects	X	q	genes)	
Associa(on	matrix	
-0.6	
-0.4	
-0.2	
0	
0.2	
0.4	
0.6	
0.8	
Associa6on	score	
Genes	
Targeted	inves6ga6on	
(e.g.:	Arginine	x	Transcriptome)	
(-)	log10	pvalue	
Pathway	enrichment	
2	 2.2	2.4	2.6	2.8	 3	
Methionine	and	
cysteine	
metabolism	
Cholesterol	
biosynthesis	
Clustering	
Genes	
Metabolites	
Univariate		
•  Pearson	Correla(on	
•  MetabNet	(Uppal2015)	
Mul(variate	
•  PLS,	CCA,	sparse	PLS	
•  mixOmics	(Cao	2009)
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
B1	 B2	 -	 Bn	
Subject1	 19	 19	 -	 100	
Subject2	 10	 40	 -	 90	
-	 -	 -	 -	 -	
SubjectN	 10	 40	 -	 50	
M1	 M2	 -	 Mn	
Subject1	 199	 19	 -	 100	
Subject2	 10	 40	 90	
-	 -	 -	 -	
SubjectN	 50	 30	 -	 20	
B1	 B2	 -	 Bn	
M1	 0.4	 0.9	 -	 0.3	
M2	 0.7	 0.1	 -	 0.5	
M3	 0.1	 0.6	 0.8	
Relevance	networks	
Metabolomics	data	
(n	subjects	X	p	metabolites)	
Microbiome	data		
(n	subjects	X	q	bacterial	species)	
Associa(on	matrix	
-0.6	
-0.4	
-0.2	
0	
0.2	
0.4	
0.6	
0.8	
Associa6on	score	
Microbes	
Targeted	inves6ga6on	
(-)	log10	pvalue	
Pathway	enrichment	
2	 2.2	2.4	2.6	2.8	 3	
Methionine	and	
cysteine	
metabolism	
Cholesterol	
biosynthesis	
Clustering	
Bacterial		
Species	
Metabolites	
Univariate		
•  Pearson	Correla(on	
•  MetabNet	(Uppal2015)	
Mul(variate	
•  PLS,	CCA,	sparse	PLS	
•  mixOmics	(Cao	2009)
Relevance	networks	
•  What	is	a	network	(or	graph)?	
–  A	set	of	nodes	(ver(ces)	and	edges	(links)	
–  Edges	describe	a	rela(onship	(e.g.	correla(on)	between	the	nodes	
•  What	is	a	relevance	network?	
–  Networks	of	highly-correlated	biomedical/clinical	en((es	(Buhe	2001;	
PNAS)	
–  Metabolomics	x	Proteomics,	Transcriptomics	x	Proteomics,	
Metabolomics	x	Microbiome,	Metabolomics	x	Clinical	variables/
phenotypes,	etc.	
–  Generate	a	bipar(te	graph	network	
					using	a	associa(on	threshold	
					(e.g.	0.5)	to	visualize	posi(ve	or	
					nega(ve	associa(ons	
Circles: microbial species
Rectangles: metabolome features
Methods	for	genera(ng	relevance	
networks	
•  Univariate	
–  Pairwise	Pearson	or	Spearman	correla(on	between	data	from	different	
biomedical/clinical		technologies	(Buhe	et	al.	2009,	Uppal	et	al.	2015)	
–  Sojware:	
•  MetabNet	(Uppal	2015;	R	package	for	performing	pairwise	correla(on	analysis	and	
genera(ng	relevance	networks)	
–  Applica(on:	Integration of TCE exposure data and physiological markers with metabolomics
(Douglas I. Walker et al. submitted)	
•  Mul(variate	
–  Mul(variate	regression	techniques	such	as	par(al	least	squares	(PLS),	sparse	
par(al	least	squares	regression	(sPLS),	mul(level	sparse	par(al	least	squares	
(msPLS)	regression,	etc.		
–  Sojware:	
•  mixOmics	(Cao	et	al.	2009,	Liquet	et	al.	2012;	R	package	for	integra(on	and	variable	
selec(on	using	mul(variate	regression)	
–  Applica(ons:	
•  Transcriptome	x	Metabolome	(Roede,	Uppal	et	al.	2013)	
•  Microbiome	x	Metabolome	(Cribbs,	Uppal	et	al.	2016	in	press)
Univariate	methods
MetabNet	(R	package;	Uppal	2015)	
	
•  Performs	pairwise	correla(on	(Pearson	or	Spearman)	or	
par(al	correla(on	analysis	to	generate	associa(on	matrix	
(p	x	q)	and	relevance	network	using	the	data	measure	on	
same	N	
•  Large	number	of	possible	associa(ons	(p	x	q)	
–  E.g.:	2x10^8	possible	associa(ons	for	20,000	genes	x	10,000	
metabolic	features	
–  Computa(onally	intensive	and	hard	to	interpret	results	
•  More	suitable	when	number	of	variables	in	at	least	one	
layer	(p	or	q)	is	small	
•  Availability:	Sojware	and	tutorial	available	on	sourceforge	
(hhps://sourceforge.net/projects/metabnet/)
Case Study 1: Using MetabNet for cross-platform paired
integrative analysis. Integration of TCE exposure data and
physiological markers with metabolomics
(Walker, Uppal et al. manuscript submitted)
Courtesy:		
Douglas	I.	Walker	
(manuscript	submihed)	
Urinary TCE exposure markers
Renal biomarkers
Immunological markers
Unidentifiable halogenated m/z, by isotopic pair
Identified metabolite
Unidentifiable m/z; pos mass defect
Unidentifiable m/z; neg mass defect
-0.7
 0
 0.6
Correlation coefficient
Mul(variate	methods
Genera(ng	relevance	network	using	
sPLS	or	msPLS	techniques	(Cao	2009,	
Liquet	2012)		
•  sparse	par(al	least	squares	(sPLS)	regression	or	
mul(level	par(al	least	squares	(msPLS)	method	
•  One-step	procedure	for	variable	selec(on	as	well	as	
integra(on	
•  Comparison	of	different	mul(variate	integra(on	
techniques	showed	that	sPLS	generates	(Cao	2009)	
•  Implemented	in	the	R	package	mixOmics		
•  Generates	associa(on	matrix	and	allows	visualiza(on	
of	associa(ons	using	bipar(te	relevance	networks	
(Liquet	2012)
sPLS	method	
•  sPLS	is	a	variable	selec(on	and	dimensionality	reduc(on	method	that	
allows	integra(on	of	heterogeneous	omics	data	from	same	set	of	samples	
•  Robust	approxima(on	of	Pearson	correla(on	using	regression	and	latent	
(principal)	variates	
•  Eg:	transcriptome	(matrix	X)	and	metabolome	(matrix	Y)	data		
where,	
matrix	X	is	an	n	×	p	matrix	that	includes	n	samples	and	p	metabolites	
matrix	Y	is	an	n	×	q	matrix	that	includes	n	samples	and	q	genes	
	
Objec(ve	func(on	
max	cov(Xu,Yv)	
	where		
	u1,	u2…uH	and	v1,	v2…vH	are	the	loading	vectors	
	H	is	the	number	of	PLS-DA	dimensions	
	
A	Lasso	based	op(miza(on	is	used	to	select	most	relevant	variables
mul(level	sPLS	method	for	experiments	with	
repeated	measurements	
	
If	X	is	an	(N	x	p)	intensity	matrix,	where	N	is	the	number	of	samples	and	p	is	the	
number	of	m/z	features,	then	
	1)	Split-up	varia(on:	
	Xw=	Xs(mula(on	+	X(me	+	Xs(mula(on	x	(me	+Xresidual			
	 	 	+	Xsubject	x	S(mula(on	+	Xsubject	x	(me	
	
				2)	sparse	PLS	objec(ve	func(on:	
	
max	cor(Y,Xu)var(Xu)	
	where		
	Y	is	the	matrix	indica(ng	group	of	each	sample	
	X	is	the	split-up	varia(on	
	u1,	u2…uH	are	the	loading	vectors	
	H	is	the	number	of	PLS-DA	dimensions	
	
A	Lasso	based	op(miza(on	is	used	to	select	most	relevant	variables
Case Study 2: Application of sPLS technique for cross-
platform paired integrative analysis. Integration of targeted
bile acids measurements and clinical variables (age, BMI,
etc.) with metabolomics
A.
B.
C.
Associa(on	threshold:	0.4	
Associa(on	threshold:	0.5	
Associa(on	threshold:	0.6	 D. Pathway	analysis	(only	top	two	displayed)	
Legend
Circles: targeted bile acid
Rectangles: metabolome features
3	 3.05	 3.1	 3.15	 3.2	 3.25	 3.3	 3.35	
Saturated	fahy	acids	beta-
oxida(on	
Bile	acid	biosynthesis	
(-)	log10	pvalue
Case Study 3: Application of sPLS technique for
integrative –omics. Microbiome-Metabolome Wide
Association Study of Lung BAL: Global integration of 5930
m/z features with 153 microbial species using sparse Partial
Least Squares regression
A.
B.
C.
Associa(on	threshold:	0.3	
Associa(on	threshold:	0.4	
Associa(on	threshold:	0.7	 D. Using	only	subset	of	metabolic	features	
also	associated	with	HIV	status	(+ve	or	–ve)	
Legend
Circles: microbial species
Rectangles: metabolome features
Nocardioidaceae
Staphylococcaceae
Caulobacteraceae Streptococcus
Integra(ng	data	from	other	
sources	(e.g.	PubMed)
Text mining tools for literature-based
relation discovery biomedical text
Zhiyong Lu, “PubMed and beyond: a survey of web tools for
searching biomedical literature”, Database Vol. 2011
Associa(on	mining	based	on		
co-occurrence
Associa(on	mining	algorithm	for	
construc(ng	rela(on	trees	
Pointwise Mutual Information(t1, t2) = vi * log2 p(t1 and t2)
----------------
p(t1) p(t2)
where
vi is 1 if term t2 is present in the controlled vocabulary, 0 otherwise;
p(t1) is the probability of term 1 in the corpus,
p(t2) is the probability of term 2 in the corpus, and
p(t1 and t2) is the probability of co-occurrence of terms 1 and 2 in the corpus
•  Pa(ent	
medical	
records	
•  Clinical	notes	
•  Lab	results,	
etc.	
A)  Electronic	
Health	Records	
(EHR)	
C)	Omics	data	
Metabolo
mics	
GWAS	Epigenomics	
	
Transcriptomi
cs 		
Proteomi
cs	
B)	Scien(fic	
literature	
Cochrane	
Library	
PubMed	
Pa(ent	
(disease/symptoms)	
Clinician	
Summary	
Other	
“omes”	
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
X0750irrdd2.2.cdf
X0816irrdd2.2.cdf
X0877iddrd2.2.cdf
X0960irrdd2.2.cdf
X0750irrdd3.2.cdf
X1162irrdd3.2.cdf
X0986irrdd2.2.cdf
X0877irrdd3.2.cdf
X1162irrdd2.2.cdf
X0750cntd7.2.cdf
X0986cntd7.2.cdf
X0960cntd7.2.cdf
X1162cntd7.2.cdf
X0960cntd2.2.cdf
X1162cntd3.2.cdf
X0816cntd7.2.cdf
X0816cntd2.2.cdf
X0816cntd3.2.cdf
X0877cntd3.2.cdf
X0877cntd7.2.cdf
X0986cntd3.2.cdf
X0986cntd2.2.cdf
X0960cntd3.2.cdf
X0750cntd3.2.cdf
X0750cntd2.2.cdf
X0877cntd2.2.cdf
X1162cntd2.2.cdf
X0986irrdd3.2.cdf
X0816irrdd3.2.cdf
X0816irrdd7.2.cdf
X0877irrdd7.2.cdf
X0986irrdd7.2.cdf
X1162irrdd7.2.cdf
X0750irrdd7.2.cdf
X0960irrdd7.2.cdf
X0877cntd17.2.cdf
X1162cntd17.2.cdf
X0816cntd14.2.cdf
X0986cntd14.2.cdf
X0816cntd28.2.cdf
X0877cntd28.2.cdf
X1162cntd28.2.cdf
X0960cntd28.2.cdf
X0986cntd28.2.cdf
X0750cntd21.2.cdf
X1162cntd21.2.cdf
X0960cntd17.2.cdf
X0986cntd17.2.cdf
X0750cntd17.2.cdf
X0816cntd17.2.cdf
X0750cntd10.2.cdf
X0877cntd21.2.cdf
X0960cntd21.2.cdf
X0750cntd14.2.cdf
X0816cntd10.2.cdf
X0877cntd10.2.cdf
X0986cntd10.2.cdf
X1162cntd14.2.cdf
X0960cntd10.2.cdf
X1162cntd10.2.cdf
X0877cntd14.2.cdf
X0960cntd14.2.cdf
X0750cntd35.2.cdf
X0877cntd35.2.cdf
X0986cntd21.2.cdf
X0816cntd21.2.cdf
X0750cntd28.2.cdf
X0960cntd35.2.cdf
X1162cntd35.2.cdf
X0816cntd35.2.cdf
X0986cntd35.2.cdf
X0986irrd35.2.cdf
X0816irrd35.2.cdf
X1162irrd35.2.cdf
X0877irrd35.2.cdf
X0960irrd35.2.cdf
X0816irrd14.2.cdf
X0986irrd14.2.cdf
X0816ittd21.2.cdf
X0986irrd21.2.cdf
X0750irrd28.2.cdf
X0877irrd28.2.cdf
X0986irrd28.2.cdf
X0877irrd17.2.cdf
X0986irrd17.2.cdf
X0816irrd28.2.cdf
X0750irrd35.2.cdf
X0960irrd28.2.cdf
X1162irrd28.2.cdf
X0877irrd21.2.cdf
X0960irrd21.2.cdf
X1162irrd21.2.cdf
X0750irrd21.2.cdf
X0816irrd17.2.cdf
X1162irrd17.2.cdf
X0750irrd17.2.cdf
X0960irrd17.2.cdf
X0750irrd14.2.cdf
X0960irrd10.2.cdf
X0960irrd14.2.cdf
X1162irrd14.2.cdf
X0877irrd14.2.cdf
X0986irrd10.2.cdf
X0877irrd10.2.cdf
X1162irrd10.2.cdf
X0750irrd10.2.cdf
X0816irrd10.2.cdf
551.5859951_471.9759025529.4376461_539.8285224546.4243019_523.1556065547.4271663_526.2363159233.0689917_490.7579052535.4505804_532.1500798348.1773101_535.1897514354.2294185_536.2349615365.1953471_527.4346883471.2737825_555.4923569594.4653686_525.0570538228.1139203_465.8183376551.0849288_491.8148044431.3368909_562.3868326404.2809145_551.3156691547.4479183_529.9512275212.0897938_477.736422316.1656468_537.3225129307.1591566_531.3062747253.7276241_448.6706638506.4422163_499.4587144682.4089338_571.3186564455.5302829_469.1895487590.4153904_527.8768707323.185583_516.8517473354.2162392_537.3378765353.2029908_548.1090893373.1907353_541.0360446353.1573289_540.5154177298.1559911_546.9382199455.5937805_44.17214808320.2274219_555.2525695337.2592043_554.215962363.2738762_543.401315430.3330383_554.0649703446.3276835_553.0300436323.1633642_550.9715589432.313578_552.5961041283.1305615_525.3281571346.2293277_525.2951014289.1809268_548.5812503305.1758526_544.9037518369.1961826_540.6358688333.1976024_541.6896398351.2168739_520.87455303.1967781_543.4467123323.2219958_549.0190239406.8179962_540.9221163438.3435472_443.9449503353.1733614_537.7456659548.4598401_524.2762655361.2210255_552.6408999532.4645874_545.6798553533.4684048_546.0769454534.4725917_546.3351778313.0682688_493.6267954314.1886946_528.190614383.2735553_551.0826629365.2159934_534.1014981545.4322986_536.8188169549.4630213_543.4436076402.2908794_547.7217445528.4314123_553.2860452347.2423119_533.8969493339.1305178_531.9654868315.1961298_556.9598907347.2132825_548.7013793448.2502347_549.6484329329.2123517_530.1333469629.3886093_558.5096133630.3925047_559.364221348.2180326_525.0291541364.2136963_516.1065997360.2092777_538.6483324552.3134385_569.054043333.2266335_557.9049279336.2548713_553.7501974105.0676709_556.7167396363.3119304_583.2702098407.3380474_584.9716496329.1024272_535.0043574513.3237167_564.7458241541.4180794_585.5436013628.471463_583.0780646313.2174201_561.489423314.2210041_571.4016718316.2001448_547.7994493299.2015583_554.3473771311.2017295_538.4397432491.254069_557.2946268535.2876623_559.7423431536.2896206_563.4825832312.2012513_520.5068429630.3658231_561.996786533.4297917_553.5609892532.4455858_559.9500556533.4493758_552.2661325301.2175382_556.965358300.204322_541.9357178301.1808788_542.3492052343.2282279_538.3697426346.1844654_510.7241538353.1647166_521.695479104.4059677_562.2693329652.3926679_538.3595097319.1914464_546.0601276317.2033418_549.7560074319.2279067_554.8232913299.1287715_530.2906821285.1773133_523.7371816285.1820164_537.6685565433.2512959_548.3785162415.3048761_573.265249450.2862223_549.2321248787.1066904_566.9769883405.7802587_539.0612568405.7906434_554.2375236385.2951781_553.8628871535.4758534_547.9609031566.2220321_563.0969812609.2194766_556.3737553610.2187437_421.4031174379.2356286_541.4022053568.3482506_552.2722616348.2128079_505.6274627593.1712687_573.165673580.4270074_538.5403093240.1235369_276.6635341340.1276175_538.2966273211.0931491_478.5848188366.1928865_503.3821565305.1580488_551.6394932609.3480503_505.0756919655.3829627_556.3653037785.1088081_575.4620377106.4926529_546.2773127637.3985254_551.3836228185.1071571_473.5735498594.3882447_556.4115825596.3855908_566.5157332636.4161639_559.2318222562.3230895_545.1713706639.3866175_558.8251824581.3844283_548.3080336362.9177512_72.85364214696.4260093_553.9520979621.5109236_588.2195489607.4600209_585.9751807623.4919804_589.0466361159.1397476_549.412635622.5174381_589.1139816632.8428729_539.3293312632.9184409_548.3506137599.4835892_564.8079395602.5038525_570.3805337670.4797563_570.217266680.5178335_560.6745559606.4872022_562.0963383606.5062619_538.7246859673.3999774_547.7002182609.4489725_537.1477237669.441021_543.5882308636.5465392_554.4735045697.526184_551.5247215581.4768624_569.2253114264.2418399_588.8124222281.2173752_556.2156347600.5168938_587.8397053149.6313502_569.165761616.5469902_559.4280795650.5184894_587.8002155597.4890311_588.8191629629.5442978_583.3752767619.4700892_576.6737595620.4727256_587.0254229629.5289329_563.3639563651.4313844_579.2187509652.4335742_579.7586791169.6294463_548.0966018300.2604655_550.1411397665.4147445_553.6560001610.4382429_555.8772697618.3670423_563.6234026612.4041342_545.335839619.4124858_567.4644631277.1101387_519.9301869323.115413_545.1679404569.3638152_536.9350977158.6390034_549.1128265167.1550548_539.7125968649.3527512_547.7921871618.4257421_554.9831998612.4521512_557.717354613.4545914_566.5057794254.2205462_567.9757822265.1795295_533.2658547316.2846294_560.9968862299.2591644_575.0158672321.2444504_556.2924556479.3744294_538.6932671376.307073_544.1825402389.2905096_556.0070184253.2540713_575.7536831537.4152751_552.4243182651.490657_557.7907811665.4829533_564.9980689706.567786_584.9973965282.2447738_543.8569935650.4305516_572.8403182605.4804618_574.4818767653.5062776_546.2067243604.5176602_567.6598499605.5041543_554.0969967641.9444922_545.8372212577.4704763_525.8585951105.7588331_548.0272467650.492301_568.2104525635.5415072_559.4849589655.5189273_557.9038273656.5246919_558.2101241334.6983623_549.9611464671.482177_559.166446671.4677931_527.1041738695.4521371_556.3656352657.5282801_556.9200322699.4490552_555.4750206334.7920208_542.950979362.329678_535.6948442366.247213_540.9733516649.4329492_555.9372159307.2552363_528.4310243609.4752489_564.1322533333.6795987_545.2508519479.3954812_528.8670235321.3132677_567.0528559711.5283837_583.4289976333.8278178_545.6891759334.6346175_549.0525075589.5102921_564.0594221654.3887517_550.5180892581.5190649_588.9249599621.4969546_567.2886648281.2486187_578.3792813614.5390189_571.2101213598.5172131_576.7541997615.5462242_558.9056907619.4945397_588.6186843614.5132768_585.0203851620.4987386_588.4044863582.5236323_573.5812582587.4929654_565.2315089661.4252407_566.8376863314.2447096_535.78473313.2378741_496.792537314.2383907_542.017645243.1959714_514.1205096341.2687042_566.7299531315.253655_515.2129588303.254104_563.3684891332.2791463_304.2077378307.267376_542.2784712339.252169_557.3085494334.2963441_555.2422056335.2935282_546.6043529335.3003175_558.2997814317.2648082_544.6830734317.2699917_546.751688633.5357349_558.0103036634.5383341_563.1042879289.2382066_550.2413919313.2747295_564.7852554479.411081_526.4352901687.4571778_559.5803482320.2809665_562.9254352336.3055246_573.3747949336.3123836_562.0846386362.3228662_564.4192562336.2392066_546.494834632.4524786_540.6040236319.2783478_573.6258882340.2457449_543.8045129311.2598474_567.7454517317.2857471_555.6514895321.2832994_576.861176603.4465014_551.8668007615.518077_585.9696008579.5062159_580.9389564580.5067248_584.4359343342.2630556_552.8692941330.3001218_554.7080494358.2959037_534.5144239260.2226294_446.465781272.223769_457.4682687331.2852153_561.2771124344.316261_556.6544336298.2410624_545.4949714306.2618616_462.9679701261.2250077_477.6689374303.272966_578.6922773302.2699417_554.2380373302.275072_558.3873302314.2719496_553.731933288.2514946_492.2831646289.2572727_557.3853198307.226888_563.6187716253.2170365_562.8374916293.2107926_551.1617607267.2327458_559.9325618271.2277408_546.6864018285.2433454_535.841729297.2443144_570.4083646322.1081403_540.747353569.4822654_564.5338873603.3960273_542.7057158620.4602671_555.2136885247.1545133_339.2308708588.4959201_566.7056701641.4463787_546.4836498325.2375146_566.0856767339.2371725_512.0911708275.1859254_508.1380826293.1051226_500.9580622143.5040305_170.703442208.0118849_174.3105963164.9638572_480.3857702372.3341165_565.22794182.9924654_492.5505792182.9953853_535.9366072186.9822498_474.466697289.0165751_513.4609978810.5569138_583.1357126205.988134_526.4966485291.1245064_538.8197849198.0138932_525.9802147197.0110504_524.5296937507.3145662_568.8234025196.0148472_535.9889722286.0127336_163.3673727287.0161072_168.0436754310.9154031_518.4222457178.9636133_517.6475031212.9908591_528.8624289164.9848263_507.7814925199.0115121_517.4231979210.9904164_504.5181774184.9957537_518.6618246224.0352653_522.076887105.4937617_484.5015491209.982479_494.598538291.0529755_498.7735505165.0004317_496.6885605210.0193167_473.1161151328.0176075_140.7483502333.0190855_157.1377859307.0889434_115.768687400.6314663_112.6632071399.6268254_112.2401231493.1546715_100.7505342492.6601184_112.8280168563.2120606_91.45697703599.3309953_130.5947429503.3485443_571.6942222308.89973_507.9773024621.3186824_555.7474159237.0060255_478.6202276200.9460811_92.03795513251.0580858_494.4633732314.0399315_149.6448237464.0646689_112.1293508234.9905656_475.1071112289.0372641_497.8976625323.0221523_510.2888572196.018671_486.2981834206.9885445_484.1995042186.9822429_168.4312725521.0156309_106.1828341275.0580135_498.4869558291.0115295_165.6019521192.008749_245.8642607200.0118144_487.1564873693.2795209_557.7684401463.1749341_545.9593562570.4222471_569.3248711571.2907004_546.7370268166.1147723_549.7752031487.1057939_503.8643209197.0958081_502.587314210.0068468_507.3275925749.5079557_584.8189159210.9632849_483.3473114222.9903165_508.4707051433.0871609_517.5299364732.5501795_575.3529201319.0423997_171.4293251466.375897_583.0973572487.1631183_526.1100853553.0951742_78.19373075637.3876232_570.4910621656.3729869_587.1379448449.1189967_529.0568525449.1563541_538.7682581415.1069146_532.8398653417.137862_549.3800052429.3772485_553.4332803412.1878111_491.1471176413.3573752_551.8289731296.1564484_525.7858693320.2605957_560.2052727523.3781408_560.9642464390.2838441_474.1569158396.3236101_559.6218443411.2428259_552.160547385.3429133_543.8391336425.2879755_556.7074255402.3521017_546.59637430.3903137_450.6279968325.285199_547.5412342196.1340221_301.9212119258.2433594_407.4879204392.2353054_532.2208626542.3992668_348.4133493360.3102207_544.1495915388.3106098_548.8399662414.358981_560.1989348458.3859177_579.834732341.3064355_579.0515709373.3158292_566.4122211418.3563604_563.6279864433.3321925_533.7484675359.3095086_571.276399413.2681974_547.3816185465.3784494_525.9661151414.2702168_287.337131419.3166667_279.873119392.2883035_241.9153827447.348115_496.5371886436.7922819_556.5615837299.9117914_553.8898941139.9828479_543.6806912126.3625688_552.3434156351.4421175_549.0735189488.8326192_554.7346832125.5528099_551.878674102.2253997_547.272390985.94128663_548.859660186.70025866_551.324386112.3030863_551.3134802134.3979716_549.9271324208.3209038_548.5451249260.4272927_548.3488236370.6144124_548.7596569187.7708371_533.2935842485.7288577_560.0602596349.6206031_539.819177699.5287192_511.9771877199.6839632_543.104557793.17536575_521.2370705325.327837_545.5500437438.9944861_539.314654297.51034036_522.9406677353.62927_541.1363778267.6457446_548.9696353466.3890355_562.6403935391.1842171_492.2880889420.3144177_532.4332384464.367479_305.1039439491.3874572_296.6305536256.1187295_181.4803187338.386929_546.9473348353.4906434_535.188477336.4443089_549.4880877385.4191338_538.4837321245.2227432_520.7017795314.1414433_520.153437798.3185302_532.5864604322.5652481_547.9137286181.158246_515.6547753344.7426304_521.0499971412.0755116_528.0586679263.5238442_551.6493063263.9830589_549.2916723490.870276_565.4666289329.8999903_59.72157486413.414247_485.1831589523.0270903_117.6200968329.9905618_120.508997331.9872453_122.73413186.9911755_482.6019609422.0890492_113.9474153249.0431519_486.2370062192.979825_491.452196165.9867164_497.1107771203.0044658_502.4767888289.0739376_502.2989443303.0893668_508.6798471162.9894455_508.407185166.9852896_478.3354479323.0580544_479.6284024408.3474272_583.4301896197.5586331_553.6175498565.243082_530.0170963139.2923952_554.0173574139.2947209_535.641420896.43160283_541.100560695.37530707_540.7606348188.8391828_540.2543666142.2169867_541.0755826222.8545158_542.125718192.5504976_540.2282397145.1814437_540.4626305141.5983783_541.1808672146.99859_541.0060272419.7209541_540.318356145.1369038_538.4526193137.0973052_541.5194704144.5994059_538.832334995.49226951_541.2334808175.9098196_540.4774537111.2033398_540.2888052112.3305363_540.760309795.25867631_541.1183825221.2044163_539.5605388114.365631_541.436486795.60948651_541.0676006112.6810091_541.1648675183.4538061_541.1966246112.6431062_541.0885907134.6655107_540.4921052179.0602279_537.5340346112.7070771_540.9009705115.7299491_540.8696097184.8291528_541.2578951188.4889416_541.3478834112.4803681_541.3175907111.0194442_541.5314928499.8593285_541.3599866184.3220716_540.9893703142.4165104_541.09023187.9282728_541.2587812109.242_541.2182118175.4504445_541.1402887184.2887271_541.0885418141.8562885_541.2517208142.4971854_541.2904838303.4899124_541.7160921141.8147378_541.1007423184.899641_541.0555891110.7040759_541.058484190.84402321_541.2259919115.5177241_541.10083109.0890252_541.1171007179.5385289_541.4479105212.9907994_167.4094644214.986324_514.4174391490.3388548_499.0265952296.899411_482.6459159200.9460848_505.1258227209.9933949_505.7950767309.9183156_482.5367116211.9934518_495.5066855308.9197962_501.3177222312.9158319_507.3554122318.9095314_538.6709653322.904534_502.6266582249.0060127_492.4533173263.0217332_480.359289194.9954437_531.2993118322.9156697_494.3881598334.3326442_573.9846405317.252732_557.5128375334.2818047_559.9986259631.3232155_559.9594873360.3757852_546.8031337444.337368_548.8606592380.2262221_509.9258186344.2420142_492.0830161291.1962622_516.5433879349.1937892_503.9262023259.1913203_549.7215572362.2545994_503.4179088330.3357462_535.5255334358.3697721_545.1908655359.3727681_546.4205352402.3958724_545.5652235228.2329301_585.5287901172.6130521_448.2184981527.0672073_504.3529426
−5 0 5
Value
Color Key
Relevance	networks	 Clustering	
Genes	
Metabolites	
Clustering
Knowledge-Based	Approaches	of	Data	Integra6on	
Sophia	A.	Banton,	Shuzhao	Li	
Clinical	Biomarkers	Laboratory	
Emory	University	School	of	Medicine
Introduc6on:	biological	networks	
•  Types	of	biological	networks:	
–  Intra-cellular	networks	
1.  Transcrip6onal	regulatory	networks	
2.  Metabolic	networks	
3.  RNA	networks	
4.  Protein-protein	interac(on	(PPI)	networks	
5.  Cell	signaling	networks	
–  Other	biological	networks		
•  Neuronal	synap(c	connec(on	networks	
•  Brain	func(onal	networks	
•  Ecological	food	webs	
•  Phylogene(c	networks	
•  Correla(on	networks	(e.g.,	gene	co-expression)		
•  Disease	–	“disease	gene”	associa(on	networks	
•  Drug	–	“drug	target”	networks	
31
Transcrip6onal	regula6on	networks	and	modules	
•  Model	regula(on	of	gene	expression		
–  Gene	à	mRNA	à	protein	
•  Nodes	correspond	to	genes	
•  Directed	edges	correspond	to	interac(ons	through	which	the	products	of	one	gene	
affect	those	of	another	
32
Blood	Transcrip6on	Modules	(BTMs)		
Blood Transcription Modules (BTM) as a powerful new tool. High quality gene network was first inferred
from public transcriptomic data. Context specific subnetworks were derived by intersecting GO, cell types,
interactome and bibliome. Gene modules were extracted from these subnetworks by search algorithms that
take into account connection density and underlying conditions. KEGG, BioCarta, PID, Reactome and TF
targets were integrated as search seeds. These BTM modules can be used as alternative to pathways, and
often offer better sensitivities.
33	
Li et al., 2014. Nature Immunology, 15:195
Metabolic	networks	
•  Used	for	studying	and	modeling	metabolism	
–  Biochemical	reac(ons	in	cells	that	allow	an	organism	to	carry	out	essen(al	life	func(ons	
34
Banton	et	al	2016.	JAALAS		-KEGG	(Kyoto	Encyclopedia	of	Genes	and	Genomes)	pathway	mapping	of	marmoset	plasma	metabolites	associated	with	a	change	
from	the	NE	diet	to	the	purified	diet.	The	black	dots	represent	metabolites	in	the	pathways	that	were	iden(fied	by	using	Mummichog
Metabolic	networks	
•  Metabolites	
–  Small	molecules		
–  Macromolecules		
•  Metabolic	pathways	
–  Series	of	successive	
biochemical	reac(ons	
for	a	specific	metabolic	
func(on,	e.g.,	
glycolysis,	or	penicillin	
synthesis,	that	convert	
one	metabolite	into	
another	
35
Banton et al 2016. JAALAS. Metabolic network activity of plasma amino acid
concentrations affected by changes between the baseline, standard, and synthetic diets
fed to the common marmoset (Callithrix jacchus).
Metabolic model at Genome-scale: need for
bioinformatics tools
Mummichog:	rewri6ng	metabolomics	workflow	
Li et al. 2013. PLoS Computational Biology. 9:e10031323
A) In the work flow of untargeted metabolomics, the conventional approach requires the
metabolites to be identified before pathway/network analysis, while mummichog (blue arrow)
predicts functional activity bypassing metabolite identification. B) Each row of dots represent
possible matches of metabolites from one m/z feature, red the true metabolite, gray the false
matches. The conventional approach first requires the identification of metabolites before
mapping them to the metabolic network. C)mummichog maps all possible metabolite matches to
the network and looks for local enrichment, which reflects the true activity because the false
matches will distribute randomly.
37
Case	Studies	
1.  Reanalysis	of	Snyderome	using	new	tools	
2.  Galactosemia:	GALT	transcriptomics	and	metabolomics	integra(on	
3.  Forma(on	of	memory	CD8+	T	cells	
4.  Integra(on	of	Metabolomics	and	Transcriptomics	to	evaluate	the	effect	
pyrimethamine	on	plasma	hemoglobin	using	Group	LASSO	
38
39	
Case	Study	1:	Reanalysis	of	Snyderome	using	new	tools
Case	Study	1:		Mummichog	interpreta6on	of	Snyder	metabolome	
40	
1
2
-Log10P-value
Significant Metabolic Pathways during RSV
infection (P < 0.05). Porphyrin pathway
pinpoints the clinical phenotype of anemia.
Metabolic Network module corresponding to
Linoleate pathway.
Gene Pathways from Snyder
transcriptome are Consistent
with Metabolite Pathways
Case	Study	1:	Reanalysis	of	Snyderome	using	new	tools	
41	
Name NES NOM p-val
Enriched in monocytes (II) (M11.0) 2.386807 0
Enriched in monocytes (I) (M4.15) 2.08188 0.005102
RIG-1 like receptor signaling (M68) 1.867297 0.00978
Complement Activation (I) (M112.0) 1.948812 0.011086
Enriched in monocytes (III) (M73) 1.932553 0.011905
Cell Activation (IL15, IL23, TNF) (M24) 1.89332 0.012136
Cell Cycle and Growth Arrest (M31) 1.892822 0.016908
Formyl peptide receptor mediated neutrophil response (M11.2) 1.920023 0.021028
RA, WNT, CSF receptors network (Monocyte) (M23) 1.842038 0.022321
Extracellular Matrix, Collagen (M210) 1.76067 0.025316
Signaling in T Cells (I) (M35.0) 1.743513 0.027972
Myeloid cell enriched receptors and transporters (M4.3) 1.942556 0.02849
Inflammatory response (M33) 1.636564 0.029056
Enriched in activated dendritic cells (II) (M165) 1.918629 0.02973
Viral sensing & immunity; irf2 targets network (I) (M111.0) 1.815972 0.03038
Blood Coagulation (M11.1) 1.855351 0.030691
TLR and Inflammatory Signaling (M16) 2.084829 0.031884
Lysosome (M209) 1.678483 0.032407
Innate Antiviral Response (M150) 1.679814 0.033413
The transcriptomics signature during RSV infection, using BTMs. Enrichment test was performed within GSEA
software, using BTMs as custom gene sets.
Case	Study	2:	Background	
•  Galactosemia	 is	 an	 autosomal	 recessive	 condi(on	 that	 affects	 an	 individual's	 ability	 to	 metabolize	
galactose	
•  In	Drosophila	melanogaster		dGALT	is	the	presumed	ortholog	of	the	human	GALT	gene	which	converts	
Galactose-1-phosphate	to	UDP-Galactose	
•  Genotypes:	
–  Ap2	is	the	imprecise	excision	of	a	p	element	in	the	dGALT	gene	and	results	in	loss	of	dGaLT	ac(vity	(Knockout).		
–  C2	is	the	precise	excision	of	the	same	p	element	and	results	in	normal	GALT	ac(vity	(Wild-type).	
42	
•  Metabolomics
•  Human Data
•  3 Cases and 6 controls
•  Using 19,505 metabolite features
•  Fly Data
•  9 Knockout and 9 Wild-Type
•  Using 9,767 metabolite features
By LHcheM - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?
curid=25944168
•  Transcriptomics
•  15-20 ug of Larva were used for each
RNA extraction and subsequent cDNA
synthesis.
•  Dye hybridization and microarray were
performed using Nimblegen technology.
Transcriptome x Metabolome
Case	Study	2:	Transcriptome	x	Metabolome	
Fly Genes
Ahcy89E
SamDC Substrate
and
Product
of
SamDC
Knockout Wild-type
Products
of
Ahcy89E
Substrate
and
Product
of
SamDC
KnockoutWild-type
Fly Metabolites
Human Metabolites
CD8+ T cells provide protection against intracellular bacterial, para-
sitic and viral infections, as well as cancers1,2. Following stimulation
with antigens, naive CD8+ T cells go through many rounds of prolif-
eration, giving rise to effector T cells, which eliminate infected cells.
Upon clearance of the antigens, most effector CD8+ T cells undergo
apoptosis, leaving only a small pool of cells to survive and differenti-
ate into memory cells3–5. During this naive-to-effector to memory-
differentiation process, T cells undergo cellular and metabolic
reprogramming to shift from anabolic processes and proliferation to
catabolic processes and contraction of cell populations to generate
memory. It is important to define the role of macroautophagy (called
‘autophagy’ here) during this process.
Autophagy is an evolutionarily conserved process that involves the
engulfment and delivery of cytosolic contents to the lysosome for
degradation6–10. This catabolic activity of autophagy is essential for
cellular homeostasis and has been suggested to be inversely correlated
with cell growth and proliferation11. In contrast to that paradigm,
it has been reported that autophagy is upregulated in proliferating
T cells9,12,13. Stimulation via the T cell antigen receptor (TCR) pro-
motes the activation and proliferation of T cells and also induces
signaling via the metabolic checkpoint kinase mTOR, which would
be expected to inhibit rather than induce autophagy8. Thus, questions
remain about why and how proliferating T cells upregulate autophagy
T cells after stimulation via the TCR, little is known about in vivo
autophagy activity in antigen-specific T cells during the course of the
differentiation of effector and memory T cells after viral infection.
The in vivo function of autophagy in antigen-specific T cells during
viral infection remains unclear but is important, as pharmacological
manipulation of autophagy is being considered as a treatment for
many human diseases14. Mice with a conditional null mutation result-
ing in selective deletion of the gene encoding either of the autophagy-
related molecules Atg5 or Atg7 during early T cell development
(through the use of Cre recombinase expressed from T cell–specific
gene Lck) have fewer mature peripheral T cells than their wild-type
counterparts have10,15. Similarly, chimeric mice reconstituted with
Atg5−/− fetal liver cells have fewer peripheral T cells than do chi-
meric mice reconstituted with wild-type fetal liver cells9. That study
also showed that Atg5-deficient T cells exhibit diminished prolifera-
tive capacity following in vitro stimulation via the TCR9. Although
such data indicate that autophagy has a key role in the development
and homeostasis of T cells, they shed less light on the function of
autophagy molecules in T cells responding to antigen because the cells
studied had developed in the absence of autophagy molecules such
as Atg5 or Atg7 and exhibited abnormalities in gene expression and
mitochondrial number and function10,15. Thus, a new approach using
phenotypically normal naive T cells is needed to study the function
Autophagy is essential for effector CD8+ T cell
survival and memory formation
Xiaojin Xu1,5, Koichi Araki1,5, Shuzhao Li2, Jin-Hwan Han1, Lilin Ye1, Wendy G Tan1, Bogumila T Konieczny1,
Monique W Bruinsma3, Jennifer Martinez4, Erika L Pearce3, Douglas R Green4, Dean P Jones2,
Herbert W Virgin3 & Rafi Ahmed1
The importance of autophagy in the generation of memory CD8+ T cells in vivo is not well defined. We report here that autophagy
was dynamically regulated in virus-specific CD8+ T cells during acute infection of mice with lymphocytic choriomeningitis
virus. In contrast to the current paradigm, autophagy decreased in activated proliferating effector CD8+ T cells and was then
upregulated when the cells stopped dividing just before the contraction phase. Consistent with those findings, deletion of the
gene encoding either of the autophagy-related molecules Atg5 or Atg7 had little to no effect on the proliferation and function of
effector cells, but these autophagy-deficient effector cells had survival defects that resulted in compromised formation of memory
T cells. Our studies define when autophagy is needed during effector and memory differentiation and warrant reexamination of
the relationship between T cell activation and autophagy.
A RT I C L E S
CD8+ T cells provide protection against intracellular bacterial, para-
sitic and viral infections, as well as cancers1,2. Following stimulation
with antigens, naive CD8+ T cells go through many rounds of prolif-
eration, giving rise to effector T cells, which eliminate infected cells.
Upon clearance of the antigens, most effector CD8+ T cells undergo
apoptosis, leaving only a small pool of cells to survive and differenti-
ate into memory cells3–5. During this naive-to-effector to memory-
differentiation process, T cells undergo cellular and metabolic
reprogramming to shift from anabolic processes and proliferation to
catabolic processes and contraction of cell populations to generate
memory. It is important to define the role of macroautophagy (called
‘autophagy’ here) during this process.
Autophagy is an evolutionarily conserved process that involves the
engulfment and delivery of cytosolic contents to the lysosome for
degradation6–10. This catabolic activity of autophagy is essential for
cellular homeostasis and has been suggested to be inversely correlated
with cell growth and proliferation11. In contrast to that paradigm,
T cells after stimulation via the TCR, little is known about in vivo
autophagy activity in antigen-specific T cells during the course of the
differentiation of effector and memory T cells after viral infection.
The in vivo function of autophagy in antigen-specific T cells during
viral infection remains unclear but is important, as pharmacological
manipulation of autophagy is being considered as a treatment for
many human diseases14. Mice with a conditional null mutation result-
ing in selective deletion of the gene encoding either of the autophagy-
related molecules Atg5 or Atg7 during early T cell development
(through the use of Cre recombinase expressed from T cell–specific
gene Lck) have fewer mature peripheral T cells than their wild-type
counterparts have10,15. Similarly, chimeric mice reconstituted with
Atg5−/− fetal liver cells have fewer peripheral T cells than do chi-
meric mice reconstituted with wild-type fetal liver cells9. That study
also showed that Atg5-deficient T cells exhibit diminished prolifera-
tive capacity following in vitro stimulation via the TCR9. Although
such data indicate that autophagy has a key role in the development
Autophagy is essential for effector CD8+ T cell
survival and memory formation
Xiaojin Xu1,5, Koichi Araki1,5, Shuzhao Li2, Jin-Hwan Han1, Lilin Ye1, Wendy G Tan1, Bogumila T Konieczny1,
Monique W Bruinsma3, Jennifer Martinez4, Erika L Pearce3, Douglas R Green4, Dean P Jones2,
Herbert W Virgin3 & Rafi Ahmed1
The importance of autophagy in the generation of memory CD8+ T cells in vivo is not well defined. We report here that autophagy
was dynamically regulated in virus-specific CD8+ T cells during acute infection of mice with lymphocytic choriomeningitis
virus. In contrast to the current paradigm, autophagy decreased in activated proliferating effector CD8+ T cells and was then
upregulated when the cells stopped dividing just before the contraction phase. Consistent with those findings, deletion of the
gene encoding either of the autophagy-related molecules Atg5 or Atg7 had little to no effect on the proliferation and function of
effector cells, but these autophagy-deficient effector cells had survival defects that resulted in compromised formation of memory
T cells. Our studies define when autophagy is needed during effector and memory differentiation and warrant reexamination of
the relationship between T cell activation and autophagy.
metabolomics	 transcriptomics	
Case Study 3: Transcriptome x Metabolome
Enzymes associated with
significant metabolites
2.5.1.56, 2.7.1.91, 2.4.2.9, 2.4.2.8,
1.14.16.4, 1.14.16.5, 3.6.1.22,
2.4.2.1, 2.4.1.80, 3.1.4.35, 2.4.2.4,
2.4.2.7, 2.4.2.14, 2.4.2.11, 2.4.2.12,
3.5.4.17, 2.4.2.19, 1.1.1.94, 3.1.6.8,
3.1.6.1, 4.3.2.2, 1.14.14.1, 3.1.3.4,
3.1.3.5, 3.1.4.46, 2.4.1.141,
1.3.99.13, 3.6.1.5, 3.6.1.6, 3.6.1.9,
3.6.1.8, 2.1.1.1, 3.5.1.9, 2.7.1.1,
2.7.1.8, 3.1.1.4, 2.7.8.-, 3.2.1.18,
2.7.8.2, 2.7.8.5, 2.7.8.8, 1.1.99.4,
1.1.99.5, 2.7.1.74, 2.7.7.14, 3.6.1.29,
3.6.1.19, 3.6.1.17, 2.7.1.138,
2.4.1.47, 6.3.5.1, 6.3.5.3, 6.3.5.2,
6.2.1.3, 1.1.1.102, 4.1.3.3,
1.14.13.30, 3.2.2.1, 2.5.1.18,
3.5.1.23, 1.13.11.11, 2.6.1.7,
2.7.1.59, 4.1.2.13, 2.4.99.8, 2.4.99.9,
1.3.3.6, 3.1.3.10, 3.2.1.46, 3.2.1.45,
6.3.4.4, 2.2.1.1, 2.2.1.2, 6.3.4.1,
2.7.8.1, 2.7.1.20, 1.7.1.7, 2.4.2.22,
2.3.1.24, 2.7.8.11, 2.7.8.15, 3.5.4.3,
3.1.4.2, 3.5.4.6, 2.7.6.1, 2.6.1.16,
3.1.4.12, 3.1.4.17, 2.4.1.117, 1.2.3.1,
3.5.4.4, 1.4.3.2, 4.1.2.27, 3.1.4.3,
6.1.1.2, 4.2.1.17, 3.2.2.2, 3.1.2.2,
3.2.2.6, 3.2.2.5, 3.5.99.6, 3.2.2.8,
1.1.1.8, 3.7.1.3, 1.13.11.34
Gpd1l, Kdsr, Ado, Acox1, Gmpr2, Tkt, Alg5,
Alg13, Hprt, Nampt, Gsta4, Gstk1, Gstm1,
Gstm4, Gsto1, Gstp1, Gstp2, Gstt2, Hpgds,
Gfpt1, Adk, Nagk, Dck, Sphk1, Sphk2, Prps1,
Prps2, Cept1, Ept1, Cept1, Cdipt, Plb1, Acot2,
Lpin1, Lpin2, Pde1b, Pde2a, Pde3b, Pde4a,
Pde4d, Pde7a, Pde8a, Pde5a, Arsa, Gba2,
Galc, Bst1, Cd38, Asah1, Asah2, Ada, Ampd1,
Ampd2, Ampd3, Cant1, Enpp1, Itpa, Enpp4,
Aldoa, Aldoc, Sgpl1, Npl, Acsl1, Acsl3, Acsl4,
Acsl5
Gpda, Acox3, Oxla, Gmpr1, T23o, Lox5, Cp4f3,
Cp4fe, Cp19a, Cp1a1, Cp1a2, Cp1b1, Cp237,
Cp238, Cp239, Cp240, Cp254, Cp255, Cp270,
Cp2a4, Cp2a5, Cp2ac, Cp2b9, Cp2ba, Cp2bj,
Cp2ct, Cp2d9, Cp2da, Cp2db, Cp2dq, Cp2j5,
Cp2j6, Cp2s1, Cp2u1, Cp341, Cp3ab, Cp3ad,
Cp3ag, Cp3ap, Cp4b1, Cp4ca, Cp4x1, Cy250,
Tph1, Tph2, Alkmo, Nnmt, Tktl1, Tktl2, Taldo,
Cegt, Pnph, Typh, Apt, Nadc, Sia8a, Siat9,
Gsta1, Gsta2, Gsta3, Gstm2, Gstm5, Gstm6,
Gstm7, Gsto2, Gstt1, Gstt4, Maai, Mgst1,
Mgst3, Aadat, Aatm, Kat1, Kat3, Gfpt2, Hkdc1,
Hxk1, Hxk2, Hxk3, Cerk1, Pcy2, Chpt1, Pgps1,
Gpt, Hrsl3, Pa21b, Pa24a, Pa24b, Pa24d,
Pa24e, Pa24f, Pa2g5, Pa2ga, Pa2gc, Pa2gd,
Pa2ge, Pa2gf, Pa2gx, Pg12a, Plpl9, Aco15,
Acot1, Acot3, Acot4, Acot5, Baat, Bach, Them4,
Lpin3, Lpp1, Lpp2, Lpp3, Lppr2, Lppr3, Lppr4,
Ppc1a, Ppc1b, 5nt1a, 5nt1b, 5nt3a, 5nt3b,
5ntc, 5ntd, Ppap, Gpcp1, Asm, Nsma2, Nsma3,
Nsma, Pde10, Pde11, Pde1a, Pde1c, Pde3a,
Pde4c, Pde7b, Pde8b, Cncg, Cnrg, Pde10,
Pde11, Pde6a, Pde6b, Pde6c, Pde9a, Neur1,
Neur2, Neur3, Neur4, Glcm, Kfa, Acer1, Acer2,
Guad, Gnpi1, Gnpi2, Entp1, Entp8, Entp4,
Entp5, Enpp3, Ap4a, Nud12, Fhit, Kynu, Aldob,
Echa, Echm, Echp, Pur8, Sywc, Sywm, Acbg1,
Acbg2, Acsl6, S27a2, Pura1, Pura2, Nade,
Guaa, Pur4
Enzymes	 Genes	
Metabolites
Enzyme genes significantly
enriched towards KO
Expression of genes
corresponding to related
enzymes are enriched for
KO cells, DNA microarray
data, GSEA (Gene Set
Enrichment Analysis).
Nominal p = 0,
FWER p = 0.024.
Case	Study	4:	Integra(on	of	Metabolomics	and	Transcriptomics	to	evaluate	the	effect	
of	 subcura(ve	 doses	 of	 pyrimethamine	 on	 plasma	 hemoglobin	 in	 Rhesus	 macaques	
using	Group	LASSO	
47
Experimental	Design	
•  Five	 macaques	 were	 each	 delivered	 a	 sub-cura(ve	 dose	 of	 pyrimethamine	 at	 Day	 21,	 and	 3-day	
cura(ve	doses	commencing	at	Days	52	and	90,	in	each	case	immediately	following	peripheral	blood	
sampling.	This	results	in	two	pre-drug,	three	post-drug,	and	two	inter-drug	treatments	as	indicated.	
•  Plasma	samples	were	collected	over	the	course	of	100	days.		
•  These	correspond	to:	
–  Time	Point	1	=	Day	0	(Baseline	Sampling	Point)		
–  Time	Point	2	=	Day	21		
–  Time	Point	3	=	Day	27		
–  Time	Point	4	=	Day	52		
–  Time	Point	5	=	Day	59		
–  Time	Point	6	=	Day	90		
–  Time	Point	7	=	Day	98	
48	
Day: 0 20 27 52 59 90 98
Pre1 Pre2 Post3 Inter4 Post5 Inter6 Post7
Analysis	Summary	
•  Ques6on	1:	Are	there	genes	and	metabolites	that	are	associated	with	hemoglobin	
levels?	
•  Correla(on	Analysis	
–  305	metabolites	are	significantly	correlated	with	Hgb	levels	
–  1074	genes	are	significantly	correlated	with	Hgb	levels	
•  Ques6on	2:	Are	there	features	that	separate	subjects	based	on	drug	exposure	(pre	
vs.	inter	vs.	post)	
•  Differen(al	Expression	Analysis	
–  1660	metabolites	can	separate	the	subjects	into	inter	and	post	drug	exposure	groups	
–  925	genes	can	separate	the	subjects	into	pre,	inter	and	post	drug	exposure	groups	
•  Conclusion	
–  The	list	of	poten(al	targets	is	cumbersome	(informa(on	overload)	
49
Can	a	single	test	answer	two	ques6ons?	
•  Which	features	from	both	pla]orms	are	associated	with	drug	exposure?	
•  Among	those	features,	which	of	them	are	specifically	associated	with	
hemoglobin	levels?	
50
Hybrid	 concatena6on	 and	 transforma6on	 based	 integra6on	 using	
Group	LASSO	(Banton	et	al.)	
	
51	
GROUP
PATHWAY
LASSO
Standardized
Pathways in
INTEGRATED
MATRIX
PCA
Pathways
.Genes
Pathways
.Metabolites
Standardized PCA
Contributions of the method
•  Allows integration of multiple omics data types
•  The method is not platform specific or dependent
•  The method retains functional information provided by pathways
•  The method allows prediction of outcomes and thus can be used in the development of clinical biomarkers
The lasso estimator is defined as:
Where λ is the tuning parameter
	Least	Absolute	Shrinkage	and	Selec6on	Operator	(LASSO)	
52	
A popular model selection and shrinkage estimation method (Tibshirani 1995).
∑=
+−=
p
j
jX
1
2
2
β
|)|(ˆ argmin βλββλ Y
Meier L, Geer Svd, Bühlmann P. 2008. The Group Lasso for Logistic Regression. Journal of the Royal Statistical Society Series B (Statistical Methodology) 70:53-71.
Extended from the lasso penalty, the group lasso estimator is:
)(minargˆ
1
2
2
2 ∑=
+−=
G
g
Ig
XY βλββ
β
λ
: the index set belonging to the th group of variables.
The penalty does the variable selection at the group level, belonging to the intermediate
between and type penalty.
It encourages that either or for all
gI
−1l −2l
0ˆ =gβ 0ˆ
, ≠jgβ },,1{ gdfj …∈
g
Integra6on	with	Group	LASSO	
Y Pathway1 Pathway 2 Pathway 3 … Pathway n
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
y PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
… PC1 PC2 PC3 PC1 PC2 PC1 PC2 … PC1
Outcome
Model*
53	
*Model built using cross-validation
Where Y is the hemoglobin level in each subject
Results*:	Number	of	Targets	is	dras6cally	reduced	
54	
Pathway
Number
of Genes
Number
of Metabolites
Ascorbate and aldarate metabolism (Vitamin C) 5 4
Glycerophospholipid metabolism 53 7
Linoleic acid metabolism 6 6
Cysteine and methionine metabolism 26 11
Porphyrin and chlorophyll metabolism 20 9
Retinol metabolism (Vitamin A) 16 6
Valine, leucine and isoleucine degradation 38 6
Nicotinate and nicotinamide metabolism 18 3
Total features 182 52
*Lambda min = 0.009
Lambda se = 0.1872
Proof	of	Concept:	Correla(ons	between	Hgb	and	significant	genes/metabolites	selected	by	
Group	Pathway	Lasso	
55	
Pathway: Porphyrin and chlorophyll metabolism (Heme	dysregula(on	in	first,	second,	and	eighth	steps	of	biosynthe(c	
pathways)
Step 1: Heme biosynthesis (ALAS2 gene à aminolevulinic
acid synthase)
*Putative database match
Step 2: Heme biosynthesis (ALAD gene)
Step 8: Terminal step in Heme biosynthesis (FECH
gene)
Ritchie MD, Holzinger ER, Li R, Pendergrass SA, Kim D. 2015. Methods of integrating data to uncover genotype-phenotype interactions. Nat Rev
Genet 16:85-97.
Meta-dimensional analysis can be divided into three categories. a | Concatenation-based integration involves combining data sets
from different data types at the raw or processed data level before modelling and analysis. b | Transformation-based integration
involves performing mapping or data transformation of the underlying data sets before analysis, and the modelling approach is
applied at the level of transformed matrices. c | Model-based integration is the process of performing analysis on each data type
independently, followed by integration of the resultant models to generate knowledge about the trait of interest. miRNA, microRNA;
SNP, single-nucleotide polymorphism.
Summary: methods of omics integration
56	
Caulobacteraceae
Streptococcus
GROUP PATHWAY
LASSO
Standardized
Pathways in
INTEGRATED
MATRIX
PCA
Pathways
.Genes
Standardized PCA
Pathways
.Metabolites
Acknowledgements	
57	
Emory University SOM
Dean P. Jones (Professor, Director of Clinical
Biomarkers Laboratory)
Shuzhao Li (Asst. Professor, Director of
Immunometabolomics)
Douglas	I.	Walker	(TCE	study)	
Paul	A.	Dawson	(Bile	acids	study)	
Sushma	K.	Cribbs	(HIV	study)	
Judy	Fridovich-keil	(GALT	study)	
MahPIC	(Pyrimethamine	study)	
	
Members of Clinical Biomarkers Laboratory
Georgia State University, PHI
Ruiyan Luo
Clinical	Biomarkers	Laboratory
Ques(ons?

Integrative_omics_lecture_feb112016_UAB