EMERGENCE OF TRAVELLING WAVES IN SMOOTH NERVE FIBRES

Abstract : An approximate analytical solution characterizing initial condi- tions leading to action potential ¯ring in smooth nerve ¯bres is determined, using the bistable equation. In the ¯rst place, we present a non-trivial sta- tionary solution wave. Then, we extract the main features of this solution to obtain a frontier condition between the initiation of the travelling waves and a decay to the resting state. This frontier corresponds to a separatrix in the projected dynamics diagram depending on the width and the amplitude of the stationary wave.
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Sabir Jacquir, Stéphane Binczak, Jean-Paul Gauthier, Jean-Marie Bilbault. EMERGENCE OF TRAVELLING WAVES IN SMOOTH NERVE FIBRES. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2008, 1 (2), pp.263-272. ⟨hal-00583779⟩

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