Open AccessCalcium waves with mechano-chemical couplings
Author(s) -
Bogdan Kažmierczak,
Z. Peradzyński
Publication year - 2013
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2013.10.743
Subject(s) - calcium , mechanics , diffusion , excited state , coupling (piping) , mechanical system , classical mechanics , physics , chemistry , thermodynamics , materials science , atomic physics , composite material , mechanical engineering , engineering , organic chemistry
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.