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Modeling Collective Excitations in Cortical Tissue by Werner M. Kistler; Richard Seitz; J.Leo van Hemmen is a Physics and Astronomy article available to read on EtoBox.

What is Modeling Collective Excitations in Cortical Tissue about?

We study a two-dimensional system of spiking neurons with local interactions depending on distance. The interactions between the neurons decrease as the distance between them increases and can be either excitatory or inhibitory. Depending on the mix of excitation and inhibition, this kind of system exhibits a rich repertoire of collective excitations such as traveling waves, expanding rings, and rotating spirals. We present a continuum approximation that allows an analytic treatment of plane waves and circular rings. We calculate the dispersion relation for plane waves and pertorm a linear stability analysis. Only waves that have a speed of propagation below a certain critical velocity, are stable. For target patterns, we derive an integro-differential equation that describes the evolution of a circular excitation. Its asymptotic behavior is handled exactly. We illustrate the analytic results by parallel-computer simulations of a network of 106 neurons. In so doing, we exhibit a novel type of local excitation, a so-called "patemoster'.

Who reads Modeling Collective Excitations in Cortical Tissue?

Author

Werner M. Kistler; Richard Seitz; J.Leo van Hemmen

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-2789)

Published

1998

Language

EN

Field

Physics and Astronomy (Physical Sciences)