Dynamics of Cortical Columns – Sensitive Decision Making

  • Jörg Lücke
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3696)


Based on elementary assumptions on the interconnectivity within a cortical macrocolumn we derive a differential equation system which models the mean neural activities of its minicolumns. A stability analysis shows a rich diversity of stationary points and sensitive behavior with respect to a parameter of inhibition. If this parameter is continuously changed, the system shows the same types of bifurcations as the macrocolumn model presented in [1] which is based on explicitly defined interconnectivity and spiking neurons. Due to this behavior the macrocolumn is able to make very sensitive decisions with respect to external input. The decision making process can be used to induce self-organization of receptive fields as is shown in [2].


cerebral cortex cortical columns non-linear dynamics stability analysis bifurcations 


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  1. 1.
    Lücke, J., von der Malsburg, C.: Rapid processing and unsupervised learning in a model of the cortical macrocolumn. Neural Computation 16, 501–533 (2004)zbMATHCrossRefGoogle Scholar
  2. 2.
    Lücke, J., Bouecke, J.D.: Dynamics of cortical columns – self-organization of receptive fields. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds.) ICANN 2005. LNCS, vol. 3696, pp. 31–37. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  3. 3.
    Favorov, O.V., Diamond, M.: Demonstration of discrete place-defined columns, segregates, in cat SI. Journal of Comparative Neurology 298, 97–112 (1990)CrossRefGoogle Scholar
  4. 4.
    Peters, A., Sethares, C.: The organization of double bouquet cells in monkey striate cortex. J. of Neurocytology 26, 779–797 (1997)CrossRefGoogle Scholar
  5. 5.
    Budd, J.M.L., Kisvarday, Z.F.: Local lateral connectivity of inhibitory clutch cells in layer 4 of cat visual cortex. Exp. Brain Res. 140(2), 245–250 (2001)CrossRefGoogle Scholar
  6. 6.
    Mountcastle, V.B.: The columnar organization of the neocortex. Brain 120, 701–722 (1997)CrossRefGoogle Scholar
  7. 7.
    Buxhoeveden, D.P., Casanova, M.F.: The minicolumn and evolution of the brain. Brain, Behavior and Evolution 60, 125–151 (2002)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jörg Lücke
    • 1
    • 2
  1. 1.Institut für NeuroinformatikBochumGermany
  2. 2.Gatsby Computational Neuroscience UnitUCLLondonUK

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