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1Institute of Medical Science and Technology, National Sun Yat-sen University, Taiwan
2Engineering Affairs Office, Kaohsiung Medical University Hospital, Taiwan
3Department of Mathematics, National Chen Kung University, Taiwan
4Department of Elect
In biological modeling, multi-dimensional cardiac action potential (AP) simulations require a considerably huge amount of
computational time and memory. To address this issue, the development of a faster algorithm with better efficiency is needed.
Here we propose a new adaptive numerical algorithm that can reduce computational time as well as perform AP simulations
with high accuracy and system stability. In our algorithm, proper time-steps are primarily arranged by solving a quadratic
formula of the first derivative of the cardiac membrane potential. In addition, functions are included in our algorithm in
order to improve numerical accuracy and system stability. A function is applied to prevent time-steps from oversizing and
can consequently help to avoid the shape distortion of cardiac action potentials and increase computational stability during
We conducted numerical experiments based on the LR (Luo-Rudy) phase 1 model and the LRd (Luo-Rudy dynamic) model
of the cardiac ventricular action potential. The results showed that the generated cardiac action potentials using the proposed
algorithm have a smaller error at peak values (Vmax), and can speed up the computation. Compare to the conventional hybrid
method (Rush-Larson method with various time steps), the proposed algorithm is more accurate and can significantly reduce
the computational time.
Nien-Du Yang is a second-year M.S student of Institute of Medical Science and Technology at National Sun Yat-sen University in Taiwan. He received his B.S degree in Electrical Engineering at National Sun Yat-sen University in 2013. His research focuses on the construction of endothelial-cell simulation model, and is currently in collaboration with a research group in the Center for Lipid Biosciences (CLB) at Kaohsiung Medical University Hospital.