Cerebral Cortex, Vol. 10, No. 2, 127-141,
February 2000
© 2000 Oxford University Press
Theoretical Neuroanatomy: Relating Anatomical and Functional Connectivity in Graphs and Cortical Connection Matrices
The Neurosciences Institute, 10640 John Jay Hopkins Drive, San Diego, CA 92121, USA
Neuroanatomy places critical constraints on the functional connectivity of the cerebral cortex. To analyze these constraints we have examined the relationship between structural features of networks (expressed as graphs) and the patterns of functional connectivity to which they give rise when implemented as dynamical systems. We selected among structurally varying graphs using as selective criteria a number of global information-theoretical measures that characterize functional connectivity. We selected graphs separately for increases in measures of entropy (capturing statistical independence of graph elements), integration (capturing their statistical dependence) and complexity (capturing the interplay between their functional segregation and integration). We found that dynamics with high complexity were supported by graphs whose units were organized into densely linked groups that were sparsely and reciprocally interconnected. Connection matrices based on actual neuroanatomical data describing areas and pathways of the macaque visual cortex and the cat cortex showed structural characteristics that coincided best with those of such complex graphs, revealing the presence of distinct but interconnected anatomical groupings of areas. Moreover, when implemented as dynamical systems, these cortical connection matrices generated functional connectivity with high complexity, characterized by the presence of highly coherent functional clusters. We also found that selection of graphs as they responded to input or produced output led to increases in the complexity of their dynamics. We hypothesize that adaptation to rich sensory environments and motor demands requires complex dynamics and that these dynamics are supported by neuroanatomical motifs that are characteristic of the cerebral cortex.
CiteULike 
Connotea 
Del.icio.us What's this?
This article has been cited by other articles:
|
|
 |
|
  Y. He, A. Dagher, Z. Chen, A. Charil, A. Zijdenbos, K. Worsley, and A. Evans Impaired small-world efficiency in structural cortical networks in multiple sclerosis associated with white matter lesion load Brain, May 12, 2009; (2009) awp089v1. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 G. Gong, Y. He, L. Concha, C. Lebel, D. W. Gross, A. C. Evans, and C. Beaulieu Mapping Anatomical Connectivity Patterns of Human Cerebral Cortex Using In Vivo Diffusion Tensor Imaging Tractography Cereb Cortex, March 1, 2009; 19(3): 524 - 536. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 R. L. Buckner, J. Sepulcre, T. Talukdar, F. M. Krienen, H. Liu, T. Hedden, J. R. Andrews-Hanna, R. A. Sperling, and K. A. Johnson Cortical Hubs Revealed by Intrinsic Functional Connectivity: Mapping, Assessment of Stability, and Relation to Alzheimer's Disease J. Neurosci., February 11, 2009; 29(6): 1860 - 1873. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 G. Tononi Consciousness as Integrated Information: a Provisional Manifesto Biol. Bull., December 1, 2008; 215(3): 216 - 242. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
S. Yu, D. Huang, W. Singer, and D. Nikolic A Small World of Neuronal Synchrony Cereb Cortex, December 1, 2008; 18(12): 2891 - 2901. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
Z. J. Chen, Y. He, P. Rosa-Neto, J. Germann, and A. C. Evans Revealing Modular Architecture of Human Brain Structural Networks by Using Cortical Thickness from MRI Cereb Cortex, October 1, 2008; 18(10): 2374 - 2381. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
D. S. Bassett, E. Bullmore, B. A. Verchinski, V. S. Mattay, D. R. Weinberger, and A. Meyer-Lindenberg Hierarchical Organization of Human Cortical Networks in Health and Schizophrenia J. Neurosci., September 10, 2008; 28(37): 9239 - 9248. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
J.E. Schmitt, R.K. Lenroot, G.L. Wallace, S. Ordaz, K.N. Taylor, N. Kabani, D. Greenstein, J.P. Lerch, K.S. Kendler, M.C. Neale, et al. Identification of Genetically Mediated Cortical Networks: A Multivariate Study of Pediatric Twins and Siblings Cereb Cortex, August 1, 2008; 18(8): 1737 - 1747. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
Y. He, Z. Chen, and A. Evans Structural Insights into Aberrant Topological Patterns of Large-Scale Cortical Networks in Alzheimer's Disease J. Neurosci., April 30, 2008; 28(18): 4756 - 4766. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 M. Kaiser Brain architecture: a design for natural computation Phil Trans R Soc A, December 15, 2007; 365(1861): 3033 - 3045. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
Y. He, Z. J. Chen, and A. C. Evans Small-World Anatomical Networks in the Human Brain Revealed by Cortical Thickness from MRI Cereb Cortex, October 1, 2007; 17(10): 2407 - 2419. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 C. J. Honey, R. Kotter, M. Breakspear, and O. Sporns Network structure of cerebral cortex shapes functional connectivity on multiple time scales PNAS, June 12, 2007; 104(24): 10240 - 10245. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 L. Minati, M. Grisoli, and M. G. Bruzzone MR Spectroscopy, Functional MRI, and Diffusion-Tensor Imaging in the Aging Brain: A Conceptual Review J Geriatr Psychiatry Neurol, March 1, 2007; 20(1): 3 - 21. [Abstract] [PDF]
|
|
|
|
|
|
C. Stam, B. Jones, G Nolte, M Breakspear, and P. Scheltens Small-World Networks and Functional Connectivity in Alzheimer's Disease Cereb Cortex, January 1, 2007; 17(1): 92 - 99. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
O. Sporns and C. J. Honey Small worlds inside big brains PNAS, December 19, 2006; 103(51): 19219 - 19220. [Full Text] [PDF]
|
|
|
|
 |
|
 D. S. Bassett and E. Bullmore Small-World Brain Networks Neuroscientist, December 1, 2006; 12(6): 512 - 523. [Abstract] [PDF]
|
|
|
|
 |
|
 M. Kearns, S. Suri, and N. Montfort An experimental study of the coloring problem on human subject networks. Science, August 11, 2006; 313(5788): 824 - 827. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
R. Salvador, J. Suckling, M. R. Coleman, J. D. Pickard, D. Menon, and E. Bullmore Neurophysiological Architecture of Functional Magnetic Resonance Images of Human Brain Cereb Cortex, September 1, 2005; 15(9): 1332 - 1342. [Abstract] [Full Text] [PDF]
|
|
|
|
 |
|
 P. A Valdes-Sosa, J. M Sanchez-Bornot, A. Lage-Castellanos, M. Vega-Hernandez, J. Bosch-Bayard, L. Melie-Garcia, and E. Canales-Rodriguez Estimating brain functional connectivity with sparse multivariate autoregression Phil Trans R Soc B, May 29, 2005; 360(1457): 969 - 981. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
M. Breakspear and C. J Stam Dynamics of a neural system with a multiscale architecture Phil Trans R Soc B, May 29, 2005; 360(1457): 1051 - 1074. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
M. K. Belmonte, G. Allen, A. Beckel-Mitchener, L. M. Boulanger, R. A. Carper, and S. J. Webb Autism and Abnormal Development of Brain Connectivity J. Neurosci., October 20, 2004; 24(42): 9228 - 9231. [Full Text] [PDF]
|
|
|
|
 |
|
 A. K. Seth and G. M. Edelman Environment and Behavior Influence the Complexity of Evolved Neural Networks Adaptive Behavior, March 1, 2004; 12(1): 5 - 20. [Abstract] [PDF]
|
|