کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4645801 | 1342064 | 2008 | 17 صفحه PDF | دانلود رایگان |
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–diffusion 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.
Journal: Applied Numerical Mathematics - Volume 58, Issue 11, November 2008, Pages 1658-1674