Calcium waves with mechano-chemical couplings
Bogdan Kazmierczak Zbigniew Peradzynski
Mathematical Biosciences & Engineering 2013, 10(3): 743-759 doi: 10.3934/mbe.2013.10.743
As follows from experiments, waves of calcium concentration in biological tissues can be easily excited by a local mechanical stimulation. Therefore the complete theory of calcium waves should also take into account coupling between mechanical and chemical processes. In this paper we consider the existence of 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 (for the calcium and buffers concentrations) and equations for the balance of mechanical forces.
keywords: mechanochemical coupling. reaction-diffusion systems Calcium waves

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