Calcium waves with mechano-chemical couplings

As follows from experiments, waves ofcalcium concentration in biological tissuescan be easily excited by a local mechanical stimulation.Therefore the complete theory of calcium waves should alsotake into account couplingbetween mechanical and chemical processes.In this paper we consider the existenc...

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Bibliographic Details
Main Authors: Bogdan Kazmierczak, Zbigniew Peradzynski
Format: Article
Language:English
Published: AIMS Press 2013-03-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.743
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Summary:As follows from experiments, waves ofcalcium concentration in biological tissuescan be easily excited by a local mechanical stimulation.Therefore the complete theory of calcium waves should alsotake into account couplingbetween mechanical and chemical processes.In this paper we consider the existenceof travelling waves for buffered systems, as in [22], completed, however,by an equation for mechanical equilibrium and respective mechanochemical coupling terms.Thus the considered, coupled system consists of reaction-diffusion equations (forthe calcium and buffers concentrations) and equations for thebalance of mechanical forces.
ISSN:1551-0018