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Adaptive numerical simulation of intracellular calcium dynamics
Author(s) -
Nagaiah Chamakuri,
Warnecke Gerald,
Rüdiger Sten,
Falcke Martin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700978
Subject(s) - discretization , calcium , calcium in biology , diffusion , intracellular , piecewise linear function , temporal discretization , reaction–diffusion system , biological system , dynamics (music) , biophysics , chemistry , computer simulation , bounded function , computer science , mechanics , physics , mathematics , mathematical analysis , thermodynamics , biochemistry , biology , organic chemistry , acoustics
We present the adaptive numerical simulation of intracellular calcium dynamics. The dynamics of intracellular calcium is determined by the liberation and uptake by cellular stores as well as reactions with buffers. This process is characterized by the existence of multiple length scales. The modeling of diffusion, binding and membrane transport of calcium ions in cells leads to a system of reaction‐diffusion equations. We used piecewise linear finite elements for the spatial discretization and time discretization by a linearly implicit Runge‐Kutta scheme. In our description the dynamics of IP 3 ‐controlled channels remains discrete and stochastic. The strongly localized temporal behavior due to the on‐off behavior of channels as well as their spatial localization is treated by an adaptive numerical method. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)