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Article Dans Une Revue International journal of bifurcation and chaos in applied sciences and engineering Année : 2007

ANALYTICAL DETERMINATION OF INITIAL CONDITIONS LEADING TO FIRING IN NERVE FIBERS

Résumé

An analytical solution characterizing initial conditions leading to action potential firing in smooth nerve fibers is determined, using the bistable equation. In the first place, we present a nontrivial stationary solution wave, then, using the perturbative method, we analyze the stability of this stationary wave. We show that it corresponds to a frontier between the initiation of the travelling waves and a decay to the resting state. Eventually, this analytical approach is extended to FitzHugh-Nagumo model.
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Dates et versions

hal-00584230 , version 1 (11-04-2011)

Identifiants

  • HAL Id : hal-00584230 , version 1

Citer

Sabir Jacquir, Stéphane Binczak, Jean-Marie Bilbault. ANALYTICAL DETERMINATION OF INITIAL CONDITIONS LEADING TO FIRING IN NERVE FIBERS. International journal of bifurcation and chaos in applied sciences and engineering , 2007, 17 (10), pp.3697-3701. ⟨hal-00584230⟩
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