Cellular Automata Simulations of Electrophysiology of Heart

• Main Authors: Yeuh-Han Tsai, 蔡岳翰
• Other Authors: Chu-Pin Lo
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/5uj9dm

碩士 === 靜宜大學 === 應用數學研究所 === 97 === To simulate the electrophysiology of heart, one usually uses continuous type of differential equations such as bidomain or monodomain equations. However, the corresponding computational load is heavy. Therefore the simulation tasks and explorations of various phenomena using such model will meet big difficulties. As an alternative tool, Cellular Automata (CA) uses a discrete type of reaction-diffusion model allowing the evolution of cells via simple rules which dramatically reduce the computational load. Therefore, the computer simulations in higher space dimension (2D,3D) are more efficient by CA model. In this article, we will introduce the development of CA models of heart. From the typical Wiener and Rosenblueth model, Greenberg and Hastings model with rigorously validated evolution rules, to Chernyak, Feldman and Cohen model with the factors such as space heterogeneity, anisotropy, curvature effects on propagation speed. When suitably choosing parameters, many important phenomena obtained by monodomain models e.g., Luo-Rudy model can also be reproduced by CA model.