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The small world of the cerebral cortex

The small world of the cerebral cortex While much information is available on the structural connectivity of the cerebral cortex, especially in the primate, the main organizational principles of the connection patterns linking brain areas, columns and individual cells have remained elusive. We attempt to characterize a wide variety of cortical connectivity data sets using a specific set of graph theory methods. We measure global aspects of cortical graphs including the abundance of small structural motifs such as cycles, the degree of local clustering of connections and the average path length. We examine large-scale cortical connection matrices obtained from neuroanatomical data bases, as well as probabilistic connection matrices at the level of small cortical neuronal populations linked by intra-areal and interareal connections. All cortical connection matrices examined in this study exhibit “small-world” attributes, characterized by the presence of abundant clustering of connections combined with short average distances between neuronal elements. We discuss the significance of these universal organizational features of cortex in light of functional brain anatomy. Supplementary materials are at www.indiana.edu/∼cortex/lab.htm. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Neuroinformatics Springer Journals

The small world of the cerebral cortex

Sporns, Olaf; Zwi, Jonathan D.
Neuroinformatics , Volume 2 (2) – Jun 1, 2004
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18 pages

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Publisher
Springer Journals
Copyright
Copyright © Humana Press Inc 2004
ISSN
1539-2791
eISSN
1559-0089
DOI
10.1385/ni:2:2:145
Publisher site
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Abstract

While much information is available on the structural connectivity of the cerebral cortex, especially in the primate, the main organizational principles of the connection patterns linking brain areas, columns and individual cells have remained elusive. We attempt to characterize a wide variety of cortical connectivity data sets using a specific set of graph theory methods. We measure global aspects of cortical graphs including the abundance of small structural motifs such as cycles, the degree of local clustering of connections and the average path length. We examine large-scale cortical connection matrices obtained from neuroanatomical data bases, as well as probabilistic connection matrices at the level of small cortical neuronal populations linked by intra-areal and interareal connections. All cortical connection matrices examined in this study exhibit “small-world” attributes, characterized by the presence of abundant clustering of connections combined with short average distances between neuronal elements. We discuss the significance of these universal organizational features of cortex in light of functional brain anatomy. Supplementary materials are at www.indiana.edu/∼cortex/lab.htm.

Journal

Neuroinformatics – Springer Journals

Published: Jun 1, 2004

Keywords: Network; computational neuroanatomy; small world; complexity; information

References

  • Diameter of the world wide web
    Albert, R.; Jeong, H.; Barabasi, A. -L.
  • Statistical mechanics of complex networks
    Albert, R.; Barabasi, A. -L.
  • Classes of small-world networks
    Amaral, L. A. N.; Scala, A.; Barthelemy, M.; Stanley, H. E.
  • Synchronization in small-world systems
    Barahona, M.; Pecora, L. M.
  • Large-scale cortical networks and cognition
    Bressler, S. L.
  • From gene networks to brain networks
    Bota, M.; Dong, H. -W.; Swanson, L. W.
  • Modulation of excitatory synaptic coupling facilitates synchronization and complex dynamics in a biophysical model of neuronal dynamics
    Breakspear, M.; Terry, J. R.; Friston, K. J.
  • The backwardness of human neuroanatomy
    Crick, F.; Jones, E.
  • Distributed hierarchical processing in the primate cerebral cortex
    Felleman, D. J.; Van Essen, D. C.
  • A neuronal representation of the location of nearby sounds
    Graziano, M. S. A; Reiss, L. A. J.; Gross, C. D.
  • A quantitative analysis of the local connectivity between pyramidal neurons in layers 2/3 of the rat visual cortex
    Hellwig, B.
  • Anatomical connectivity defines the organization of clusters of cortical areas in the macaque monkey and the cat
    Hilgetag, C. C.; Burns, G. A. P. C.; O’Neill, M. A.; Scannell, J. W.; Young, M. P.
  • The large-scale organization of metabolic networks
    Jeong, H.; Tombor, B.; Albert, R.; Oltvai, Z. N.; Barabasi, A. -L.
  • Navigation in a small world
    Kleinberg, J. M.
  • Neuroscience databases: tools for exploring brain structure-function relationships
    Kötter, R.
  • Network participation indices: Characterizing component roles for information processing in neural networks
    Kötter, R.; Stephan, K. E.
  • Efficient behavior of small-world networks
    Latora, V.; Marchiori, M.
  • Cortico-cortical connections of visual, sensorimotor, and multimodal processing areas in the parietal lobe of the Macaque monkey
    Lewis, J. W.; Van Essen, D. C.
  • Intracortical connectivity of pyramidal and stellate cells: estimates of synaptic densities and coupling symmetry
    Liley, D. T. J.; Wright, J. J.
  • Is the brain a scale-free network?
    Martin, R.; Kaiser, M.; Andras, P.; Young, M.
  • Specificity and stability in topology of protein networks
    Maslov, S.; Sneppen, K.
  • The small world problem
    Milgram, S.
  • Network motifs: simple building blocks of complex networks
    Milo, R.; Shen-Orr, S.; Itzkovitz, S.; Kashtan, N.; Chklovskii, D.; Alon, U.
  • Patterns of local connectivity in the neocortex
    Nicoll, A.; Blakemore, C.
  • The anatomical basis of functional localization in the cortex
    Passingham, R. E.; Stephan, K. E.; Kotter, R.
  • Hierarchical organization of modularity in metabolic networks
    Ravasz, E.; Somera, A. L.; Mongru, D. A.; Oltvai, Z. N.; Barabasi, A.-L.
  • Modular organization of cellular networks
    Rives, A. W.; Galitski, T.
  • The connectional organization of neural systems in the cat cerebral cortex
    Scannell, J. W.; Young, M. P.
  • Analysis of connectivity in the cat cerebral cortex
    Scannell, J. W.; Blakemore, C.; Young, M. P.
  • The connectional organization of the cortico-thalamic system of the cat
    Scannell, J. W.; Burns, G. A. P. C.; Hilgetag, C. C.; O’Neil, M. A.; Young, M. P.
  • Graph theory methods for the analysis of neural connectivity patterns
    Sporns, O.; Kötter, R.
  • Theoretical neuroanatomy: Relating anatomical and functional connectivity in graphs and cortical connection matrices
    Sporns, O.; Tononi, G.; Edelman, G. M.
  • Classes of network connectivity and dynamics
    Sporns, O.; Tononi, G.
  • Exploring complex networks
    Strogatz, S. H.
  • Complexity and coherency: Integrating information in the brain
    Tononi, G.; Edelman, G. M.; Sporns, O.
  • The brainweb: phase synchronization and large-scale integration
    Varela, F.; Lachaux, J. -P.; Rodriguez, E.; Martinerie, J.
  • Collective dynamics of ‘small-world’ networks
    Watts, D. J.; Strogatz, S. H.
  • The organizatio of neural systems in the primate cerebral cortex
    Young, M. P.