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Development of exposome correlation
globes to map out exposure-phenotype
associations
Chirag J Patel (and Arjun K Manrai)

International Society of Exposure Science

Utrecht 2016

10/10/16
chirag@hms.harvard.edu
@chiragjp
www.chiragjpgroup.org
Pesticides
Pollutants
Vitamins
Nutrients
Infectious Agents
Diabetes
Body Mass Index
Time-to-Death
Gene expression
Telomere length
PhenomeExposome
How is the exposome associated with the phenome?
How is the exposome associated with the phenome?:

Searches for exposures in telomere-length
IJE, 2016
0
1
2
3
4
−0.2 −0.1 0.0 0.1 0.2
effect size
−log10(pvalue)
PCBs
FDR<5%
Trunk Fat
Alk. PhosCRP
Cadmium
Cadmium (urine)cigs per day
retinyl stearate
VO2 Maxpulse rate
shorter telomeres longer telomeres
adjusted by age, age2, race, poverty, education, occupation
median N=3000; N range: 300-7000
Co-exposure plays a role in signal and association
Number of potential correlates complicates the
association between exposure and phenome
IJE 2012 Sci Trans Med 2011
Pesticides
Pollutants
Vitamins
Nutrients
Infectious Agents
Diabetes
Body Mass Index
Time-to-Death
Gene expression
Telomere length
PhenomeExposome
Arjun Manrai
“This is what I call ‘indecent exposome'”
Does Bradford-Hill apply?:

Sheer number of correlations of the exposome have
implications for causal research

Stat Med, 2015
Does Bradford-Hill apply?:

Sheer number of correlations of the exposome have
implications for causal research, for example:

(1) Strength of associations:
correlation & p-values
(2) Consistency:
observed in different situations?
(3) Specificity:
do one-to-one associations exist?
Estimating correlations in E:
What does this buy us in conducting EWAS-like
investigations?
(1) Effective number of
variables to test in EWAS 

Criterion 1:
Significance (p-values)
(2) Mapping/documenting
EWAS associations
Criterion 3:
Specificity
(3) Assessing correlations
due to model choice
Criterion 2:
Consistency
Estimating exposome ρ:
NHANES participants have >250 quantitative exposures
assayed in serum and urine and >500 via self-report!
Nutrients and Vitamins

e.g., vitamin D, carotenes
Pesticides and pollutants

e.g., atrazine; cadmium; hydrocarbons
Infectious Agents

e.g., hepatitis, HIV, Staph. aureus
Plastics and consumables

e.g., phthalates, bisphenol A
Physical Activity

e.g., steps
Estimating exposome ρ:
Replicated rank correlations between exposures and
visualized with a globe
’99-’00
’01-’02
’03-’04
’05-’06
289
357
456
313
| E |
575
35,835
56,557
80,401
47,203
81,937
| ρ(e1,e2) |cohorts
N:10-10K
FDR(e1,e2) < 5% in >1 cohorts?
(Benjamini-Hochberg)
Permutation-based p-values
Replicated(e1,e2) are linked
e1
e2e4
e3
http://circos.ca
ρ>0ρ<0
Estimating exposome ρ:
E correlations are concordant between independent
cohorts
‘99-’00 ‘01-’02 ‘03-’04 ‘05-’06
‘99-’00 1 0.84 0.84 0.92
‘01-’02 1 0.82 0.93
‘03-’04 1 0.94
‘05-’06 1
2,656 out of 81,937 (3%) pair-wise correlations
(FDR < 5% in > 1 cohort)
N:10-10K
The E correlation globe is dense (2,700 out of 81K), but
correlations are modest in absolute value (median: 0.45).
0.00
0.25
0.50
0.75
1.00
0.0 0.4 0.8
|Correlation|
Cumulativefraction
all correlations q<=0.05 >1 surveys q<=0.05 >2 surveys (replicated)
FDR<5%
FDR<5% in
>1 cohort
Replicated E correlations are modest in size and are mostly
positive
0
5
10
15
-1.0 -0.5 0.0 0.5 1.0
Correlation
Percent
ρ>0ρ<0
Estimating correlations in E:
What does this buy us in conducting EWAS-like
investigations?
(1) Effective number of
variables to test in EWAS 

(2) Mapping/documenting
EWAS associations
(3) Assessing correlations
due to model choice
Criterion 1:
Significance (p-values)
Criterion 3:
Specificity
Criterion 2:
Consistency
Estimating correlations in E:
Effective number of variables in your data - 

You measure M: are they all independent?
Meff ≤ M
Meff : 1 + (M - 1) (1 - Variance(L)/M)
L: eigenvalues
JECH, 2014
M: number of variables Meff: effective number
co-exposure
correlation
Meff influences signal to noise and power!
Dense ρ influences the number

of effective variables (Meff) in NHANES
JECH, 2014
National Health and Nutrition Examination
Survey (NHANES)
Estimating correlations in E:
What does this buy us in conducting EWAS-like
investigations?
(1) Effective number of
variables to test in EWAS 

(2) Mapping/documenting
EWAS associations
(3) Assessing correlations
due to model choice
Criterion 1:
Significance (p-values)
Criterion 3:
Specificity
Criterion 2:
Consistency
Estimating exposome ρ:
Replicated rank correlations between exposures and
visualized with a globe
’99-’00
’01-’02
’03-’04
’05-’06
289
357
456
313
| E |
575
35,835
56,557
80,401
47,203
81,937
| ρ(e1,e2) |cohorts
N:10-10K
FDR(e1,e2) < 5% in >1 cohorts?
(Benjamini-Hochberg)
Permutation-based p-values
Replicated(e1,e2) are linked
e1
e2e4
e3
http://circos.ca
ρ>0ρ<0
Visualizing replicated E correlations with an exposome globe
Arranging exposures by category
198
14
36
82
3
17
47
59
25
31
51
12
7
38
65
7
10
8
15
12 7 22017 6
Visualizing replicated E correlations with an exposome globe
exposures linked to cotinine, a metabolite of nicotine
ρ>0: red
ρ<0: blue
Visualizing replicated E correlations with an exposome globe
2,656 (out of 81,937) pair-wise correlations
ρ>0: red
ρ<0: blue
Telomere Length All-cause mortality
http://bit.ly/globebrowse
Interdependencies of the exposome:
Telomeres vs. all-cause mortality
Browse these and 82 other phenotype-exposome globes!
http://www.chiragjpgroup.org/exposome_correlation
https://github.com/chiragjp/exposome_correlation
Estimating correlations in E:
What does this buy us in conducting EWAS-like
investigations?
(1) Effective number of
variables to test in EWAS 

(2) Mapping/documenting
EWAS associations
(3) Assessing correlations
due to model choice
Criterion 1:
Significance (p-values)
Criterion 3:
Specificity
Criterion 2:
Consistency
On dense ρ and exposome globes:
Discussion and Future Directions
•E ρ are dense (~3% of links
replicated!) but modest in correlation
size
•Visualize and identify co-occuring E
•Contextualize EWAS findings
Demographic
Food(Recall)
PhysicalActivity
Nutrients
Smoking
Drugs
Furans
Dioxins
PCBs
Pesticides
Diakyls
PFCs
Phenols
Phthalates
Bacteria
Virus
Urinary_Dim
ethylarsonic_acid
number_of_days_since_quit
Beta-hexachlorocyclohexane
trans-b-carotene
3,3,4,4,5,5-hxcb
M
ercury,_urine
Oxychlordane
um
,_urine
1,2,3,4,6,7,8,9-ocdd
ercury,_inorganic
1,2,3,4,6,7,8-hpcdd
Hexachlorobenzene
g-tocopherol
Retinyl_palm
itate
PCB138_&_158
PCB196_&_203
Vitam
in_D
ny,_urine
Vitam
in_C
1,2,3,4,7,8-hxcdd
1,2,3,6,7,8-hxcdd
1,2,3,7,8,9-hxcdd
Cadm
ium
,_urine
Retinyl_stearate
1,2,3,4,7,8-hxcdf
1,2,3,6,7,8-hxcdf
Trans-nonachlor
Heptachlor
Thallium
,_urine
b-cryptoxanthin
ury,_total
1,2,3,7,8-pncdd
Levofloxacin_1
2,3,4,7,8-pncdf
Folate,_serum
3,3,4,4,5-pncb
ine
a-Tocopherol
CD8_counts
PCB170
Lead,_urine
2,3,7,8-tcdd
Oxacillin_1
a-Carotene
Cadm
ium
p,p-DDT
p,p-DDE
PCB105
PCB118
PCB156PCB157
PCB167
PCB146PCB153PCB172
PCB177
PCB178
PCB180
PCB183PCB187 PCB194
PCB199
Dieldrin
PCB66PCB74
PCB99
Retinol
white
black
Lead
Age
•Estimate and report Meff, number of independent variables
•Estimate and report VoE, how correlations change due to
model choice
On dense ρ and exposome globes:
Discussion and Future Directions
•E ρ are dense (~3% of links
replicated!) but modest in correlation
size
•Identify confounding variables?
•Ascertain E globes with respect to time in different
populations!
Demographic
Food(Recall)
PhysicalActivity
Nutrients
Smoking
Drugs
Furans
Dioxins
PCBs
Pesticides
Diakyls
PFCs
Phenols
Phthalates
Bacteria
Virus
Urinary_Dim
ethylarsonic_acid
number_of_days_since_quit
Beta-hexachlorocyclohexane
trans-b-carotene
3,3,4,4,5,5-hxcb
M
ercury,_urine
Oxychlordane
um
,_urine
1,2,3,4,6,7,8,9-ocdd
ercury,_inorganic
1,2,3,4,6,7,8-hpcdd
Hexachlorobenzene
g-tocopherol
Retinyl_palm
itate
PCB138_&_158
PCB196_&_203
Vitam
in_D
ny,_urine
Vitam
in_C
1,2,3,4,7,8-hxcdd
1,2,3,6,7,8-hxcdd
1,2,3,7,8,9-hxcdd
Cadm
ium
,_urine
Retinyl_stearate
1,2,3,4,7,8-hxcdf
1,2,3,6,7,8-hxcdf
Trans-nonachlor
Heptachlor
Thallium
,_urine
b-cryptoxanthin
ury,_total
1,2,3,7,8-pncdd
Levofloxacin_1
2,3,4,7,8-pncdf
Folate,_serum
3,3,4,4,5-pncb
ine
a-Tocopherol
CD8_counts
PCB170
Lead,_urine
2,3,7,8-tcdd
Oxacillin_1
a-Carotene
Cadm
ium
p,p-DDT
p,p-DDE
PCB105
PCB118
PCB156PCB157
PCB167
PCB146PCB153PCB172
PCB177
PCB178
PCB180
PCB183PCB187 PCB194
PCB199
Dieldrin
PCB66PCB74
PCB99
Retinol
white
black
Lead
Age
•What are the essential nodes of the network?
On dense ρ and exposome globes:
For papers, see:

https://paperpile.com/shared/0SnSa9
Ioannidis, John P. A. 2016. Statistics in Medicine 35 (11): 1749–62.

Patel, Chirag J., et al 2013. International Journal of Epidemiology 42 (6). IEA: 1795–1810.

Patel, Chirag J., et al 2012. International Journal of Epidemiology 41 (3): 828–43.

Patel, Chirag J., and Arjun K. Manrai. 2015. Pacific Symposium on Biocomputing., 231–42.

Ioannidis, John P. A. 2009. Science Translational Medicine 1 (7).

Patel, Chirag J., et al. 2015. Journal of Clinical Epidemiology 68.

Patel, Chirag J., and John P. A. Ioannidis. 2014. JAMA: 311 (21). 2173–74.

Smith, G. D., et al. 2007. “PLoS Medicine 4: e352.
Tu-SY-A4: The Exposome: From concept to practice - IV
Harvard DBMI
Isaac Kohane

Susanne Churchill

Stan Shaw

Jenn Grandfield

Sunny Alvear

Michal Preminger

Harvard Chan
Hugues Aschard

Francesca Dominici

Chirag J Patel

chirag@hms.harvard.edu

@chiragjp

www.chiragjpgroup.org
NIH Common Fund

Big Data to Knowledge
Acknowledgements
Stanford
John Ioannidis

Atul Butte (UCSF)

RagGroup
Chirag Lakhani
Adam Brown
Danielle Rasooly

Arjun Manrai

Erik Corona

Nam Pho

Jake Chung
ISES Co-exposures
Tom Webster
Arjun Manrai

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Correlation globes of the exposome 2016

  • 1. Development of exposome correlation globes to map out exposure-phenotype associations Chirag J Patel (and Arjun K Manrai) International Society of Exposure Science Utrecht 2016 10/10/16 chirag@hms.harvard.edu @chiragjp www.chiragjpgroup.org
  • 2. Pesticides Pollutants Vitamins Nutrients Infectious Agents Diabetes Body Mass Index Time-to-Death Gene expression Telomere length PhenomeExposome How is the exposome associated with the phenome?
  • 3. How is the exposome associated with the phenome?: Searches for exposures in telomere-length IJE, 2016 0 1 2 3 4 −0.2 −0.1 0.0 0.1 0.2 effect size −log10(pvalue) PCBs FDR<5% Trunk Fat Alk. PhosCRP Cadmium Cadmium (urine)cigs per day retinyl stearate VO2 Maxpulse rate shorter telomeres longer telomeres adjusted by age, age2, race, poverty, education, occupation median N=3000; N range: 300-7000 Co-exposure plays a role in signal and association
  • 4. Number of potential correlates complicates the association between exposure and phenome IJE 2012 Sci Trans Med 2011 Pesticides Pollutants Vitamins Nutrients Infectious Agents Diabetes Body Mass Index Time-to-Death Gene expression Telomere length PhenomeExposome
  • 5. Arjun Manrai “This is what I call ‘indecent exposome'”
  • 6. Does Bradford-Hill apply?: Sheer number of correlations of the exposome have implications for causal research Stat Med, 2015
  • 7. Does Bradford-Hill apply?: Sheer number of correlations of the exposome have implications for causal research, for example: (1) Strength of associations: correlation & p-values (2) Consistency: observed in different situations? (3) Specificity: do one-to-one associations exist?
  • 8. Estimating correlations in E: What does this buy us in conducting EWAS-like investigations? (1) Effective number of variables to test in EWAS Criterion 1: Significance (p-values) (2) Mapping/documenting EWAS associations Criterion 3: Specificity (3) Assessing correlations due to model choice Criterion 2: Consistency
  • 9. Estimating exposome ρ: NHANES participants have >250 quantitative exposures assayed in serum and urine and >500 via self-report! Nutrients and Vitamins e.g., vitamin D, carotenes Pesticides and pollutants e.g., atrazine; cadmium; hydrocarbons Infectious Agents e.g., hepatitis, HIV, Staph. aureus Plastics and consumables e.g., phthalates, bisphenol A Physical Activity e.g., steps
  • 10. Estimating exposome ρ: Replicated rank correlations between exposures and visualized with a globe ’99-’00 ’01-’02 ’03-’04 ’05-’06 289 357 456 313 | E | 575 35,835 56,557 80,401 47,203 81,937 | ρ(e1,e2) |cohorts N:10-10K FDR(e1,e2) < 5% in >1 cohorts? (Benjamini-Hochberg) Permutation-based p-values Replicated(e1,e2) are linked e1 e2e4 e3 http://circos.ca ρ>0ρ<0
  • 11. Estimating exposome ρ: E correlations are concordant between independent cohorts ‘99-’00 ‘01-’02 ‘03-’04 ‘05-’06 ‘99-’00 1 0.84 0.84 0.92 ‘01-’02 1 0.82 0.93 ‘03-’04 1 0.94 ‘05-’06 1 2,656 out of 81,937 (3%) pair-wise correlations (FDR < 5% in > 1 cohort) N:10-10K
  • 12. The E correlation globe is dense (2,700 out of 81K), but correlations are modest in absolute value (median: 0.45). 0.00 0.25 0.50 0.75 1.00 0.0 0.4 0.8 |Correlation| Cumulativefraction all correlations q<=0.05 >1 surveys q<=0.05 >2 surveys (replicated) FDR<5% FDR<5% in >1 cohort
  • 13. Replicated E correlations are modest in size and are mostly positive 0 5 10 15 -1.0 -0.5 0.0 0.5 1.0 Correlation Percent ρ>0ρ<0
  • 14. Estimating correlations in E: What does this buy us in conducting EWAS-like investigations? (1) Effective number of variables to test in EWAS (2) Mapping/documenting EWAS associations (3) Assessing correlations due to model choice Criterion 1: Significance (p-values) Criterion 3: Specificity Criterion 2: Consistency
  • 15. Estimating correlations in E: Effective number of variables in your data - You measure M: are they all independent? Meff ≤ M Meff : 1 + (M - 1) (1 - Variance(L)/M) L: eigenvalues JECH, 2014 M: number of variables Meff: effective number co-exposure correlation
  • 16. Meff influences signal to noise and power!
  • 17. Dense ρ influences the number of effective variables (Meff) in NHANES JECH, 2014 National Health and Nutrition Examination Survey (NHANES)
  • 18. Estimating correlations in E: What does this buy us in conducting EWAS-like investigations? (1) Effective number of variables to test in EWAS (2) Mapping/documenting EWAS associations (3) Assessing correlations due to model choice Criterion 1: Significance (p-values) Criterion 3: Specificity Criterion 2: Consistency
  • 19. Estimating exposome ρ: Replicated rank correlations between exposures and visualized with a globe ’99-’00 ’01-’02 ’03-’04 ’05-’06 289 357 456 313 | E | 575 35,835 56,557 80,401 47,203 81,937 | ρ(e1,e2) |cohorts N:10-10K FDR(e1,e2) < 5% in >1 cohorts? (Benjamini-Hochberg) Permutation-based p-values Replicated(e1,e2) are linked e1 e2e4 e3 http://circos.ca ρ>0ρ<0
  • 20. Visualizing replicated E correlations with an exposome globe Arranging exposures by category 198 14 36 82 3 17 47 59 25 31 51 12 7 38 65 7 10 8 15 12 7 22017 6
  • 21. Visualizing replicated E correlations with an exposome globe exposures linked to cotinine, a metabolite of nicotine ρ>0: red ρ<0: blue
  • 22. Visualizing replicated E correlations with an exposome globe 2,656 (out of 81,937) pair-wise correlations ρ>0: red ρ<0: blue
  • 23. Telomere Length All-cause mortality http://bit.ly/globebrowse Interdependencies of the exposome: Telomeres vs. all-cause mortality
  • 24. Browse these and 82 other phenotype-exposome globes! http://www.chiragjpgroup.org/exposome_correlation https://github.com/chiragjp/exposome_correlation
  • 25. Estimating correlations in E: What does this buy us in conducting EWAS-like investigations? (1) Effective number of variables to test in EWAS (2) Mapping/documenting EWAS associations (3) Assessing correlations due to model choice Criterion 1: Significance (p-values) Criterion 3: Specificity Criterion 2: Consistency
  • 26. On dense ρ and exposome globes: Discussion and Future Directions •E ρ are dense (~3% of links replicated!) but modest in correlation size •Visualize and identify co-occuring E •Contextualize EWAS findings Demographic Food(Recall) PhysicalActivity Nutrients Smoking Drugs Furans Dioxins PCBs Pesticides Diakyls PFCs Phenols Phthalates Bacteria Virus Urinary_Dim ethylarsonic_acid number_of_days_since_quit Beta-hexachlorocyclohexane trans-b-carotene 3,3,4,4,5,5-hxcb M ercury,_urine Oxychlordane um ,_urine 1,2,3,4,6,7,8,9-ocdd ercury,_inorganic 1,2,3,4,6,7,8-hpcdd Hexachlorobenzene g-tocopherol Retinyl_palm itate PCB138_&_158 PCB196_&_203 Vitam in_D ny,_urine Vitam in_C 1,2,3,4,7,8-hxcdd 1,2,3,6,7,8-hxcdd 1,2,3,7,8,9-hxcdd Cadm ium ,_urine Retinyl_stearate 1,2,3,4,7,8-hxcdf 1,2,3,6,7,8-hxcdf Trans-nonachlor Heptachlor Thallium ,_urine b-cryptoxanthin ury,_total 1,2,3,7,8-pncdd Levofloxacin_1 2,3,4,7,8-pncdf Folate,_serum 3,3,4,4,5-pncb ine a-Tocopherol CD8_counts PCB170 Lead,_urine 2,3,7,8-tcdd Oxacillin_1 a-Carotene Cadm ium p,p-DDT p,p-DDE PCB105 PCB118 PCB156PCB157 PCB167 PCB146PCB153PCB172 PCB177 PCB178 PCB180 PCB183PCB187 PCB194 PCB199 Dieldrin PCB66PCB74 PCB99 Retinol white black Lead Age •Estimate and report Meff, number of independent variables •Estimate and report VoE, how correlations change due to model choice
  • 27. On dense ρ and exposome globes: Discussion and Future Directions •E ρ are dense (~3% of links replicated!) but modest in correlation size •Identify confounding variables? •Ascertain E globes with respect to time in different populations! Demographic Food(Recall) PhysicalActivity Nutrients Smoking Drugs Furans Dioxins PCBs Pesticides Diakyls PFCs Phenols Phthalates Bacteria Virus Urinary_Dim ethylarsonic_acid number_of_days_since_quit Beta-hexachlorocyclohexane trans-b-carotene 3,3,4,4,5,5-hxcb M ercury,_urine Oxychlordane um ,_urine 1,2,3,4,6,7,8,9-ocdd ercury,_inorganic 1,2,3,4,6,7,8-hpcdd Hexachlorobenzene g-tocopherol Retinyl_palm itate PCB138_&_158 PCB196_&_203 Vitam in_D ny,_urine Vitam in_C 1,2,3,4,7,8-hxcdd 1,2,3,6,7,8-hxcdd 1,2,3,7,8,9-hxcdd Cadm ium ,_urine Retinyl_stearate 1,2,3,4,7,8-hxcdf 1,2,3,6,7,8-hxcdf Trans-nonachlor Heptachlor Thallium ,_urine b-cryptoxanthin ury,_total 1,2,3,7,8-pncdd Levofloxacin_1 2,3,4,7,8-pncdf Folate,_serum 3,3,4,4,5-pncb ine a-Tocopherol CD8_counts PCB170 Lead,_urine 2,3,7,8-tcdd Oxacillin_1 a-Carotene Cadm ium p,p-DDT p,p-DDE PCB105 PCB118 PCB156PCB157 PCB167 PCB146PCB153PCB172 PCB177 PCB178 PCB180 PCB183PCB187 PCB194 PCB199 Dieldrin PCB66PCB74 PCB99 Retinol white black Lead Age •What are the essential nodes of the network?
  • 28. On dense ρ and exposome globes: For papers, see: https://paperpile.com/shared/0SnSa9 Ioannidis, John P. A. 2016. Statistics in Medicine 35 (11): 1749–62. Patel, Chirag J., et al 2013. International Journal of Epidemiology 42 (6). IEA: 1795–1810. Patel, Chirag J., et al 2012. International Journal of Epidemiology 41 (3): 828–43. Patel, Chirag J., and Arjun K. Manrai. 2015. Pacific Symposium on Biocomputing., 231–42. Ioannidis, John P. A. 2009. Science Translational Medicine 1 (7). Patel, Chirag J., et al. 2015. Journal of Clinical Epidemiology 68. Patel, Chirag J., and John P. A. Ioannidis. 2014. JAMA: 311 (21). 2173–74. Smith, G. D., et al. 2007. “PLoS Medicine 4: e352. Tu-SY-A4: The Exposome: From concept to practice - IV
  • 29. Harvard DBMI Isaac Kohane Susanne Churchill Stan Shaw Jenn Grandfield Sunny Alvear Michal Preminger Harvard Chan Hugues Aschard Francesca Dominici Chirag J Patel chirag@hms.harvard.edu @chiragjp www.chiragjpgroup.org NIH Common Fund Big Data to Knowledge Acknowledgements Stanford John Ioannidis Atul Butte (UCSF) RagGroup Chirag Lakhani Adam Brown Danielle Rasooly Arjun Manrai Erik Corona Nam Pho Jake Chung ISES Co-exposures Tom Webster Arjun Manrai