Calcium waves in systems with immobile buffers as a limit of waves for systems with nonzero diffusion

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Published 7 December 2007 • 2008 IOP Publishing Ltd and London Mathematical Society
, , Citation Bogdan Kaźmierczak and Vitaly Volpert 2008 Nonlinearity 21 71 DOI 10.1088/0951-7715/21/1/004

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Author affiliations

1 Institute of Fundamental Technological Research of PAS Świetokrzyska 21, 00-049 Warsaw, Poland

2 Department of Mathematics, UMR 5208 CNRS, Université Lyon 1, 69622 Villeurbanne, France

Dates

  1. Received 5 February 2007
  2. Published

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0951-7715/21/1/71

Abstract

We study the existence and properties of calcium waves in the presence of buffers. The model represents a reaction–diffusion system of equations with some diffusion coefficients equal to zero. They correspond to immobile buffers. The proof of the existence of travelling waves is carried out by passing to zero in the diffusion coefficients.

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10.1088/0951-7715/21/1/004