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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

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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)

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  • HAL Id : hal-00584230 , version 1

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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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