Emergence of travelling waves in smooth nerve fibres | Zendy

Sabir Jacquir | Zendy; S. Binczak | Zendy; Jean-Philippe Gauthier | Zendy; JeanMarie Bilbault | Zendy

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Emergence of travelling waves in smooth nerve fibres

Author(s) -

Sabir Jacquir,

S. Binczak,

Jean-Philippe Gauthier,

JeanMarie Bilbault

Publication year - 2008

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2008.1.263

Subject(s) - bistability , traveling wave , amplitude , physics , bifurcation , mechanics , action (physics) , frontier , mathematical analysis , classical mechanics , mathematics , optics , nonlinear system , quantum mechanics , archaeology , history

An approximate analytical solution characterizing initial conditions leading to action potential firing in smooth nerve fibres is determined, using the bistable equation. In the first place, we present a non-trivial stationary 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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