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BRAIN NETWORK ANALYSIS BASED
ON CORTICAL THICKNESS AND ITS
 APPLICATION TO PATIENTS WITH
OBSESSIVE-COMPULSIVE DISORDER
@ KHBM, 2011. 11. 04

김승구 sgKIM

Department of
Brain and Cognitive Sciences,
Seoul National University.
ACKNOWLEDGEMENT

• 정무경   Moo K. CHUNG @ U WISC, SNU


• 정휘훈, 장준환, 권준수     @ SNU, SNUH
INTRODUCTION
PREVIOUS NETWORK STUDIES ON OCD
OBSESSIVE-COMPULSIVE
            DISORDER (OCD)
•   Obsessive–compulsive disorder (OCD) is an
    anxiety disorder characterized by intrusive,
    troubling thoughts or repetitive, compulsive
    behaviors perceived as the products of one’s own
    mind (American Psychiatric Association, 1994).

•   FRONTAL-SUBCORTICAL CIRCUITRY
    DYSFUNCTION
    : unable to modulate impulsive behaviors
    (Saxena, 1998)

•   However, hypothesis-free analysis rarely has been
    done.
                                                        Actually, he seems to be with OCPD
A WHOLE-BRAIN NETWORK
 OCD                         controls




       Zhang et al. (2011) J Psychiatry Neurosci
A WHOLE-BRAIN NETWORK




    Zhang et al. (2011) J Psychiatry Neurosci
LOCALLY DEFINED
ANATOMICAL MEASURE




    Slide from FreeSurfer’s workshop
CORRELATION OF THICKNESS

• What’s   with the correlation in anatomical measures?
CORRELATION OF THICKNESS

• What’s   with the correlation in anatomical measures?

      i            j




      subject 1
CORRELATION OF THICKNESS

• What’s   with the correlation in anatomical measures?

      i            j       i            j




      subject 1             subject 2
CORRELATION OF THICKNESS

• What’s   with the correlation in anatomical measures?

      i            j       i            j     i               j
                                                                  ···


      subject 1             subject 2             subject 3
CORRELATION OF THICKNESS

• What’s   with the correlation in anatomical measures?

      i            j       i            j     i               j
                                                                  ···


      subject 1             subject 2             subject 3
PREVIOUS THICKNESS-BASED
    NETWORK STUDIES




           He et al. (2007)
PREVIOUS THICKNESS-BASED
    NETWORK STUDIES



               He et al. (2007) Cerebral Cortex
  FDR q=0.05




                         He et al. (2007)
PREVIOUS THICKNESS-BASED
    NETWORK STUDIES

               executive    auditory/language                   ventral visual pathway




                             He et al. (2007) Cerebral Cortex
  FDR q=0.05


                           default mode                   sensorimotor/visuospatial
                                Chen etet al. (2007)
                                   He al. (2011) NI
MOTIVATION

• Structuralnetwork over whole brain in patients with OCD is
 still unknown.

• Corticalthickness-based network studies has been gained
 attention.

• To investigate the structural brain network based on cortical
 thickness is the motivation of this study.
METHOD
CORTICAL THICKNESS-BASED NETWORK
 CONSTRUCTION USING FreeSurferTM
SUBJECTS & IMAGES

• T1-weighted MRIs from 35 healthy control (HC) subjects and
 32 obsessive-compulsive disorder (OCD) patients.

• Mean    age: 23.94 ± 3.60 (HC); 24.81 ± 6.41(OCD)

• Gender: 24    M + 11 F (HC); 21 M + 11 F (OCD)

• All
    32 OCDs were drug-free: 23 patients were drug-naive and
 the other 9 patients were unmedicated by the scanning.

• All   right-handed.
Naive
Surface
Naive
Surface
Naive
Surface

          RESAMPLING based on
               curvature:
Naive
Surface

                                           RESAMPLING based on
                                                curvature:




Template
 Surface


           40962-vertices per hemisphere
HEAT KERNEL SMOOTHING
                         1
                         X
                                   -
          K ⇤ Y(p) =           e       j   j (p)
                         j=0




Implemented using cotan discretization (Seo, 2010, MICCAI)
NAIVE SPACES
NAIVE SPACES




TEMPLATE (FSAVG6) SPACES
NAIVE SPACES




HEAT KERNEL SMOOTHING with FWHM=10mm
THICKNESS COMPARISON
thicness =      0   +   1   · age +   2   · gender +   3   · diagnosis + noise


• Testing   the significance of diagnosis (group effect).

• Multiplecomparison correction by random field theory using
 SurfStat MATLAB toolbox.

• You can download SurfStat from: http://galton.uchicago.edu/
 faculty/InMemoriam/worsley/research/surfstat/index.htm
Regions-of-interest (ROIs) as nodes




                               •   Total 148 ROIs chosen
                                   excepting “medial wall” and
                                   “unknown” for each
                                   hemisphere.




Destrieux et al. (2009) OHBM
Regions-of-interest (ROIs) as nodes




                               •   Total 148 ROIs chosen
                                   excepting “medial wall” and
                                   “unknown” for each
                                   hemisphere.




Destrieux et al. (2009) OHBM       Centroids as node positions
PARTIAL CORRELATION

• Tocompute partial correlation controlling age and gender, we
 fit a GLM and use residual for [cij ] 2 R148⇥148
  residual = thickness - ( c + c · age + c · gender)
                            0   1         2

            cij = CORR(residuali , residualj )
STATISTICAL INFERENCES
• Local   inference on correlations: OCD vs. HC
                         OCD        HC
                      Z(cij    -   cij )   >h
 where Z is Fisher transform, h is FDR threshold with q=0.01

• Global  inference on undirected, unweighted graphs
 : Binarization for adjacency matrix [aij ] 2 R148⇥148
             aij = 1 if Z(cij ) > h, otherwise aij = 0
RESULTS
THICKNESS ANALYSIS AND NETWORK ANALYSIS
THICKNESS COMPARISON




 max |T|= 3.92
 min P= 0.58
THICKNESS COMPARISON



                           OCD-HC
                        max |T| = 4.47




 max |T|= 3.92   Shin et al. (2007) HBM
 min P= 0.58
LOCAL INFERENCE




                      significance
                    at FDR q=0.01
         OCD > HC: 124 pairs
         HC > OCD: 32 pairs
OCD > HC: 124 pairs       HC > OCD: 32 pairs



                 Degree                 Degree
GLOBAL INFERENCE
GLOBAL INFERENCE


                  Threshold @ FDR=0.01
           HC              OCD
 LH              LH


 RH              RH


      LH    RH        LH    RH
       ADJACENCY MATRIX
Degree   Degree
Degree                                    Degree
                       0.25
Normalized Frequency




                                                                             HC (p<0.001)
                        0.2                                                  OCD (p<0.001)
                                                                             HC (p>0.05)
                       0.15                                                  OCD (p>0.05)
                        0.1                         p-values computed via 10,000 permutations
                       0.05

                         0
                          0   2     4      6             8             10            12
                                           Degree
TM




  MATLAB DEMO
THRESHOLD-VARYING NETWORKS
CONCLUSION

• We did NOT find any group difference by univariate tests on
 cortical thickness between OCD and HC.


• However, weDID find significantly different correlations from
 number of pairs of nodes.

• We   also found differences in degree distributions.

• Threshold-free investigation such as graph-filtration is needed
 as a further study.
THANK YOU!
 solleo@gmail.com

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[KHBM] Application of network analysis based on cortical thickness to obsessive-compulsive disorder patients

  • 1. BRAIN NETWORK ANALYSIS BASED ON CORTICAL THICKNESS AND ITS APPLICATION TO PATIENTS WITH OBSESSIVE-COMPULSIVE DISORDER @ KHBM, 2011. 11. 04 김승구 sgKIM Department of Brain and Cognitive Sciences, Seoul National University.
  • 2. ACKNOWLEDGEMENT • 정무경 Moo K. CHUNG @ U WISC, SNU • 정휘훈, 장준환, 권준수 @ SNU, SNUH
  • 4. OBSESSIVE-COMPULSIVE DISORDER (OCD) • Obsessive–compulsive disorder (OCD) is an anxiety disorder characterized by intrusive, troubling thoughts or repetitive, compulsive behaviors perceived as the products of one’s own mind (American Psychiatric Association, 1994). • FRONTAL-SUBCORTICAL CIRCUITRY DYSFUNCTION : unable to modulate impulsive behaviors (Saxena, 1998) • However, hypothesis-free analysis rarely has been done. Actually, he seems to be with OCPD
  • 5. A WHOLE-BRAIN NETWORK OCD controls Zhang et al. (2011) J Psychiatry Neurosci
  • 6. A WHOLE-BRAIN NETWORK Zhang et al. (2011) J Psychiatry Neurosci
  • 7. LOCALLY DEFINED ANATOMICAL MEASURE Slide from FreeSurfer’s workshop
  • 8. CORRELATION OF THICKNESS • What’s with the correlation in anatomical measures?
  • 9. CORRELATION OF THICKNESS • What’s with the correlation in anatomical measures? i j subject 1
  • 10. CORRELATION OF THICKNESS • What’s with the correlation in anatomical measures? i j i j subject 1 subject 2
  • 11. CORRELATION OF THICKNESS • What’s with the correlation in anatomical measures? i j i j i j ··· subject 1 subject 2 subject 3
  • 12. CORRELATION OF THICKNESS • What’s with the correlation in anatomical measures? i j i j i j ··· subject 1 subject 2 subject 3
  • 13. PREVIOUS THICKNESS-BASED NETWORK STUDIES He et al. (2007)
  • 14. PREVIOUS THICKNESS-BASED NETWORK STUDIES He et al. (2007) Cerebral Cortex FDR q=0.05 He et al. (2007)
  • 15. PREVIOUS THICKNESS-BASED NETWORK STUDIES executive auditory/language ventral visual pathway He et al. (2007) Cerebral Cortex FDR q=0.05 default mode sensorimotor/visuospatial Chen etet al. (2007) He al. (2011) NI
  • 16. MOTIVATION • Structuralnetwork over whole brain in patients with OCD is still unknown. • Corticalthickness-based network studies has been gained attention. • To investigate the structural brain network based on cortical thickness is the motivation of this study.
  • 17. METHOD CORTICAL THICKNESS-BASED NETWORK CONSTRUCTION USING FreeSurferTM
  • 18. SUBJECTS & IMAGES • T1-weighted MRIs from 35 healthy control (HC) subjects and 32 obsessive-compulsive disorder (OCD) patients. • Mean age: 23.94 ± 3.60 (HC); 24.81 ± 6.41(OCD) • Gender: 24 M + 11 F (HC); 21 M + 11 F (OCD) • All 32 OCDs were drug-free: 23 patients were drug-naive and the other 9 patients were unmedicated by the scanning. • All right-handed.
  • 21. Naive Surface RESAMPLING based on curvature:
  • 22. Naive Surface RESAMPLING based on curvature: Template Surface 40962-vertices per hemisphere
  • 23. HEAT KERNEL SMOOTHING 1 X - K ⇤ Y(p) = e j j (p) j=0 Implemented using cotan discretization (Seo, 2010, MICCAI)
  • 26. NAIVE SPACES HEAT KERNEL SMOOTHING with FWHM=10mm
  • 27. THICKNESS COMPARISON thicness = 0 + 1 · age + 2 · gender + 3 · diagnosis + noise • Testing the significance of diagnosis (group effect). • Multiplecomparison correction by random field theory using SurfStat MATLAB toolbox. • You can download SurfStat from: http://galton.uchicago.edu/ faculty/InMemoriam/worsley/research/surfstat/index.htm
  • 28. Regions-of-interest (ROIs) as nodes • Total 148 ROIs chosen excepting “medial wall” and “unknown” for each hemisphere. Destrieux et al. (2009) OHBM
  • 29. Regions-of-interest (ROIs) as nodes • Total 148 ROIs chosen excepting “medial wall” and “unknown” for each hemisphere. Destrieux et al. (2009) OHBM Centroids as node positions
  • 30. PARTIAL CORRELATION • Tocompute partial correlation controlling age and gender, we fit a GLM and use residual for [cij ] 2 R148⇥148 residual = thickness - ( c + c · age + c · gender) 0 1 2 cij = CORR(residuali , residualj )
  • 31. STATISTICAL INFERENCES • Local inference on correlations: OCD vs. HC OCD HC Z(cij - cij ) >h where Z is Fisher transform, h is FDR threshold with q=0.01 • Global inference on undirected, unweighted graphs : Binarization for adjacency matrix [aij ] 2 R148⇥148 aij = 1 if Z(cij ) > h, otherwise aij = 0
  • 32. RESULTS THICKNESS ANALYSIS AND NETWORK ANALYSIS
  • 33. THICKNESS COMPARISON max |T|= 3.92 min P= 0.58
  • 34. THICKNESS COMPARISON OCD-HC max |T| = 4.47 max |T|= 3.92 Shin et al. (2007) HBM min P= 0.58
  • 35. LOCAL INFERENCE significance at FDR q=0.01 OCD > HC: 124 pairs HC > OCD: 32 pairs
  • 36. OCD > HC: 124 pairs HC > OCD: 32 pairs Degree Degree
  • 38. GLOBAL INFERENCE Threshold @ FDR=0.01 HC OCD LH LH RH RH LH RH LH RH ADJACENCY MATRIX
  • 39. Degree Degree
  • 40. Degree Degree 0.25 Normalized Frequency HC (p<0.001) 0.2 OCD (p<0.001) HC (p>0.05) 0.15 OCD (p>0.05) 0.1 p-values computed via 10,000 permutations 0.05 0 0 2 4 6 8 10 12 Degree
  • 41. TM MATLAB DEMO THRESHOLD-VARYING NETWORKS
  • 42. CONCLUSION • We did NOT find any group difference by univariate tests on cortical thickness between OCD and HC. • However, weDID find significantly different correlations from number of pairs of nodes. • We also found differences in degree distributions. • Threshold-free investigation such as graph-filtration is needed as a further study.

Editor's Notes

  1. Hello, my name is Seung-Goo Kim.\nI&amp;#x2019;m a PhD student at the department of Brain and Cognitive Sciences, SNU.\nand I&amp;#x2019;ve been working with Moo.\n\nToday, I&amp;#x2019;d like to talk about a brain network analysis based on cortical thickness,\nand its application to patients with obsessive-compulsive disorder.\n\nThe bottom line is that, this is a very simple analysis, and more like a preliminary result, so I hope many feedbacks from you.\n
  2. These are my colleagues.\n\nMoo Chung formulated and implemented heat-kernel smoothing based on Laplace-Beltrami eigenfunction.\n\nWi Hoon JUNG, Joon Hwan JANG, Jun Soo KWON collected patients&amp;#x2019; data and did the processing with FreeSurfer.\n
  3. Now, I&amp;#x2019;m going to explain our application on OCD.\n
  4. Obsessive-compulsive disorder is defined by obsessive thoughts or acts and/or compulsive behaviors.\n
  5. But, quite interestingly, this is the only one study I could find, that examines global characteristic of brain network in OCD. These networks are also based on fMRI.\n\n//\n\nThese are gamma and lambda for various graph densities.\n\n//\n\nOverall densities, OCD shows higher gamma, relative clustering coefficients.\n
  6. As I explained earlier, we quantifies the cortical thickness by the distance between two surfaces.\n
  7. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  8. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  9. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  10. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  11. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  12. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  13. \n
  14. \n
  15. Then the motivation of this study is to learn about global signature of structural network in OCD.\n
  16. Now, let me show you how we did this application.\n
  17. We used T1-weighted MRIs of 35 controls and 32 OCD patients.\n\nAge, gender, handness are matched.\n\nAll OCD patients were not taking drugs by the time of scanning.\n
  18. Once you measure thickness in the original space, \n//\nyou can map it to a corresponding sphere.\n//\nThen by the curvature-mapping, it can be resampled onto another sphere,\n//\nthat corresponds to template surface.\n\n\n
  19. Once you measure thickness in the original space, \n//\nyou can map it to a corresponding sphere.\n//\nThen by the curvature-mapping, it can be resampled onto another sphere,\n//\nthat corresponds to template surface.\n\n\n
  20. Once you measure thickness in the original space, \n//\nyou can map it to a corresponding sphere.\n//\nThen by the curvature-mapping, it can be resampled onto another sphere,\n//\nthat corresponds to template surface.\n\n\n
  21. Once you measure thickness in the original space, \n//\nyou can map it to a corresponding sphere.\n//\nThen by the curvature-mapping, it can be resampled onto another sphere,\n//\nthat corresponds to template surface.\n\n\n
  22. Then to increase signal to noise ratio and statistical power, we apply heat kernel smoothing.\n\nThis smoothing technique is based on Laplace-Beltrami eigenfunction, which forms orthonormal basis on an arbitrary surface.\n\nShown here as Psy is a basis function over cortical surface. By multiplying exponential term, we can get a Kernel convoluted measure as a sum of weighted Fourier series.\n
  23. By doing that, \n\\\\\nyou can map individual measures onto a common surface.\n
  24. By doing that, \n\\\\\nyou can map individual measures onto a common surface.\n
  25. By doing that, \n\\\\\nyou can map individual measures onto a common surface.\n
  26. The smoothed thickness on each vertex is linearly modeled, and computed t-statistics with a contrast on the diagnosis term.\n\nMultiple comparison correction is made by random field theory using surfstat matlab toolbox.\n\n\n
  27. Then using a ROI atlas available in FreeSurer,\nwe averaged measure into 148 ROIs.\n\\\\\nFor visualization, centriods within each ROI are used as nodes.\n
  28. To compute correlation matrix, factoring out confounding effect of age and gender,\nwe correlated residuals of such a linear model.\n\nLocal inference is made simply using Fisher&amp;#x2019;s transformation and false discovery rate of .01.\n\nTo get a undirected, unweighted graph, we thresholded each positive correlation matrix at FDR .01.\n
  29. \n
  30. Now, I present the result with an univariate analysis for comparison.\n
  31. absolute diff=0.2 mm\nt-test without covariates: p=0.65\n\nShin: without covariates.\n
  32. \n
  33. \n
  34. \n
  35. \n
  36. The spatial dispositions of the previous network is like this.\n\\\\\nAnd the degree distribution is like this.\nActually we found significant differences at degree 1, 4 and others using ten thousand permutations.\n\nWe can see more densely connected nodes in OCD than in health controls.\n
  37. Now I&amp;#x2019;ll show you changing networks by the varying threshold.\n
  38. I think it is a quite interesting result, because it shows that we can find the significant differences from the network analysis, even when we cannot find any differences in the univariate analysis.\n\nActually it is a quite early step of study so far. What we did is fairly simple, so we are planning to examine further aspects of the networks in future.\n\nAlso I&amp;#x2019;d like to mention that this dataset has concurrent DTI measures. So it is a good chance to directly compare the thickness-based network to the DTI-based network.\n
  39. \n