Inhibitory connections enhance pattern recurrence in networks of neocortical pyramidal cells

Abstract We consider biological neural networks of pyramidal cells in a quasistatic approximation. We argue that they can be treated as a coupled map lattice of inhibitory and excitatory site maps, where both maps are derived from perturbation response of rat neocortical pyramidal cells. Inhibitory site maps generate chaotic spike patterns on an open parameter set of positive measure [R. Stoop, K. Schindler, L.A. Bunimovich, submitted], excitatory site maps are nonchaotic. Our network simulations show that local chaos by inhibition may be used to synchronize cortical networks.

[1]  S. V. Fomin,et al.  Ergodic Theory , 1982 .

[2]  W. Ditto,et al.  Controlling chaos in the brain , 1994, Nature.

[3]  Statistical cycling in coupled map lattices. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Michael C. Mackey,et al.  From Clocks to Chaos , 1988 .

[5]  Ruedi Stoop,et al.  Encounter with Chaos , 1992 .

[6]  I. P. Cornfeld Ergodic theory / I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai , 1982 .

[7]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[8]  D. Johnston,et al.  Foundations of Cellular Neurophysiology , 1994 .

[9]  B. Cessac Increase in Complexity in Random Neural Networks , 1995 .