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2015 ; 2015
(ä): 137482
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Adaptive Mesh Refinement and Adaptive Time Integration for Electrical Wave
Propagation on the Purkinje System
#MMPMID26581455
Ying W
; Henriquez CS
Biomed Res Int
2015[]; 2015
(ä): 137482
PMID26581455
show ga
A both space and time adaptive algorithm is presented for simulating electrical
wave propagation in the Purkinje system of the heart. The equations governing the
distribution of electric potential over the system are solved in time with the
method of lines. At each timestep, by an operator splitting technique, the
space-dependent but linear diffusion part and the nonlinear but space-independent
reactions part in the partial differential equations are integrated separately
with implicit schemes, which have better stability and allow larger timesteps
than explicit ones. The linear diffusion equation on each edge of the system is
spatially discretized with the continuous piecewise linear finite element method.
The adaptive algorithm can automatically recognize when and where the electrical
wave starts to leave or enter the computational domain due to external
current/voltage stimulation, self-excitation, or local change of membrane
properties. Numerical examples demonstrating efficiency and accuracy of the
adaptive algorithm are presented.