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Synaptically generated wave propagation in excitable neural media

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posted on 12.05.2006 by P.C. Bressloff
We study the propagation of solitary waves in a one-dimensional network of excitable integrate-and-fire neurons with axo-dendritic synaptic coupling. We show that for small axonal delays there exists a stable solitary wave, and derive a power scaling law for the velocity as a function of the coupling. In the case of large axonal delays and fast synapses we establish that the solitary wave can destabilize via a Hopf bifurcation in the firing times.

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School

  • Science

Department

  • Mathematical Sciences

Pages

164262 bytes

Citation

BRESSLOFF, P.C., 1999. Synaptically generated wave propagation in excitable neural media. Physical Review Letters, 82(14), pp. 2979–2982

Publisher

© American Physical Society

Publication date

1999

Notes

This article was published in the journal, Physical Review Letters [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRL/v82/p2979.

ISSN

0031-9007

Language

en

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