Computing the shape of brain networks using graph filtration and Gromov-Hausdorff metric

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6892 LNCS, Issue PART 2, 2011, Pages 302-309

  Lee, Hyekyoung ^a   Chung, Moo K ^a,b,c   Kang, Hyejin ^a   Kim, Boong Nyun ^a   Lee, Dong Soo ^a  

^a Seoul National University   (South Korea)

^b UNIVERSITY OF WISCONSIN SCHOOL OF MEDICINE AND PUBLIC HEALTH   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENTION DEFICIT HYPERACTIVITY DISORDER; AUTISM SPECTRUM DISORDERS; BRAIN NETWORKS; CLUSTERING COEFFICIENT; CONTROL SUBJECT; DEGREE DISTRIBUTIONS; FDG-PET; MATRIX; NEAREST NEIGHBORS; SHAPE ANALYSIS; SINGLE LINKAGE;

MEDICAL IMAGING; TOPOLOGY;

MEDICAL COMPUTING;

FLUORODEOXYGLUCOSE F 18;

ADULT; ALGORITHM; ARTICLE; ATTENTION DEFICIT DISORDER; AUTISM; BRAIN; BRAIN MAPPING; CHILD; CLUSTER ANALYSIS; FEMALE; HUMAN; MALE; METHODOLOGY; PATHOLOGY; POSITRON EMISSION TOMOGRAPHY; STATISTICAL MODEL; THEORETICAL MODEL;

ADULT; ALGORITHMS; ATTENTION DEFICIT DISORDER WITH HYPERACTIVITY; BRAIN; BRAIN MAPPING; CHILD; CHILD DEVELOPMENT DISORDERS, PERVASIVE; CLUSTER ANALYSIS; FEMALE; FLUORODEOXYGLUCOSE F18; HUMANS; MALE; MODELS, STATISTICAL; MODELS, THEORETICAL; POSITRON-EMISSION TOMOGRAPHY;

EID: 82255183610     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-23629-7_37     Document Type: Conference Paper

References (15)

1. Rubinov, M., Sporns, O.: Complex network measures of brain connectivity: Uses and interpretations. NeuroImage 52, 1059-1069 (2010)
2. Sporns, O., Tononi, G., Kotter, R.: The human connectome: a structural description of the human brain. PLoS Computational Biology 1, e42 (2005)
3. Bullmore, E., Sporns, O.: Complex brain networks: graph theoretical analysis of structural and functional systems. Nature Reviews Neuroscience 10, 186-198 (2009)
4. Li, L., Alderson, D., Doyle, J.C., Willinger, W.: Towards a theory of scale-free graphs: Definition, properties, and implications. Internet Mathematics 2, 431-523 (2005)
5. Adler, R., Bobrowski, O., Borman, M., Subag, E., Weinberger, S.: Persistent homology for random fields and complexes. ArXiv e-prints (2010)
6. Edelsbrunner, H., Harer, J.: Persistent homology - a survey. Contemporary Mathematics 453, 257-282 (2008)
7. Lee, H., Chung, M.K., Kang, H., Kim, B.N., Lee, D.: Discriminative persistent homology of brain networks. In: IEEE International Symposium on Biomedical Imaging (ISBI), Chicago, IL (2011)
8. Mémoli, F.: Gromov-hausdorff distances in euclidean spaces. In:Workshop on Non- Rigid Shape Analysis and Deformable Image Alignment (CVPR Workshop, NORDIA 2008) (2008)
9. Bronstein, A.M., Bronstein, M.M., Kimmel, R.: Efficient computation of isometryinvariant distances between surfaces. SIAM Journal on Scientific Computing 28, 1812-1836 (2006)
10. Kalton, N.J., Ostrovskii, M.: Distances between banach spaces. Forum Mathematicum 11, 17-48 (1999)
11. Carlsson, G., Mémoli, F.: Characterization, stability and convergence of hierarchical clustering methods. Journal of Machine Learning Research 11, 1425-1470 (2010)
12. Mémoli, F., Sapiro, G.: A theoretical and computational framework for isometry invariant recognition of point cloud data. Foundations of Computational Mathematics 5, 313-347 (2005)
13. Kraina, A., Castellanos, F.: Brain development and adhd. Clinical Psychology Review 26, 433-444 (2006)
14. Uddin, L.Q., Menon, V.: Introduction to special topic resting-state brain activity: Implications for systems neuroscience. Frontiers in Systems Neuroscience 4, 37 (2010)
15. Minshew, N., Williams, D.: The new neurobiology of autism: Cortex, connectivity, and neuronal organization. Arch. Neurol., 945-950 (2007)