Time Stepping for the cable equation, Part 2: Parallel performance
نویسندگان
چکیده
In this Part 2 of our work, we continue the discussion on time-steppers for the cable equation, modeling action potential propagation in cardiac myocyte cells. Here we report results from parallel computations. The cable equation is a diffusion-reaction PDE for transmembrane voltage, whose reaction (source) term depends on several voltage-dependent quantities (gates), each satisfying a first order, highly nonlinear ODE. The parallelization, for distributed computing via message passing, was done by domain decomposition and implemented in C using the MPI library. We compare the performance of several low and high order, explicit and implicit time-stepping numerical schemes on the parallelized 1D cable equation with the Luo-Rudy I (1991) ionic model.
منابع مشابه
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Electrical propagation (action potentials) in excitable tissue, such as nerve cells and cardiac myocytes, is described by a parabolic diffusion-reaction equation for the transmembrane potential (voltage) V (x, t), known as the cable equation. It is driven by a rapidly varying, highly nonlinear (and expensive to evaluate) ionic source term Iion(V, t) representing the total ionic current across t...
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