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Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods

Item Type:Article
Title:Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods
Creators Name:Nagaiah, C. and Ruediger, S. and Warnecke, G. and Falcke, M.
Abstract:In this paper we present adaptive numerical simulations of intracellular calcium dynamics using domain decomposition methods. The modeling of diffusion, binding and membrane transport of calcium ions in cells leads to a system of reaction-diffusions equations. We describe the modulation of cytosolic and ER calcium concentration close to the membrane of the cell organelle. This leads to a two-dimensional model. Local grid refinement is adjusted to the strongly local effects of the calcium dynamics. A finite element method is used for spatial discretization and a Rosenbrock solver for time integration which is third-order accurate and very suitable for nonlinear parabolic problems. We present sequential and parallelized numerical results. The latter are based on domain decomposition methods.
Keywords:Inositol Trisphosphate, Ca2+ Dynamics, Oscillations, Elementary, Puffs, Blips, Hepatocytes, Signals, Oocytes, Cells
Source:Applied Numerical Mathematics
ISSN:0168-9274
Publisher:Elsevier (The Netherlands)
Volume:58
Number:11
Page Range:1658-1674
Date:November 2008
Official Publication:https://doi.org/10.1016/j.apnum.2007.10.003

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