Key result
Operator-splitting alternating direction implicit (ADI) schemes achieved second-order accuracy in space and time while reducing computational time and memory compared to standard numerical methods.
Why the study?
Numerical simulations of the cardiac monodomain model require fine mesh resolution, substantially increasing the computational resources needed.
The proposed ADI schemes efficiently solve the nonlinear cardiac monodomain model, reducing computational time and memory while maintaining second-order accuracy.
Answers are grounded in this paper and cite their sources.
May accelerate cardiac model simulations; leaves open validation before clinical workflow integration.
It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac monodomain model. The main objective of the proposed methods is to reduce the computational time and memory consumed for solving electrocardiology models, compared to standard numerical methods. The proposed methods have second-order accuracy in both space and time while evaluating the ionic model only once per time-step. Several examples using regular wave, spiral wave reentry, and nonsymmetrical scroll wave are conducted, and the efficiency of the proposed ADI methods is compared to the standard semi-implicit Crank-Nicolson/Adams-Bashforth method. Large-scale two- and three-dimensional simulations are performed.
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Belhamadia et al. (2020) studied Cardiac monodomain model (computational simulation). Operator-splitting alternating direction implicit (ADI) schemes vs. Standard semi-implicit Crank-Nicolson/Adams-Bashforth method was evaluated on Computational time and memory consumed. Operator-splitting alternating direction implicit (ADI) schemes achieved second-order accuracy in space and time while reducing computational time and memory compared to standard numerical methods.
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