Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method

Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method
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DOI:
10.1063/1.1594685
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发表时间:
2003-09-01
期刊:
影响因子:
2.9
通讯作者:
Henriquez, CS
Henriquez, CS
中科院分区:
数学2区
文献类型:
--
作者:
Cherry, EM;Greenside, HS;Henriquez, CS

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将新近发展起来的模拟各向同性一维和二维可激发介质的时空自适应网格加密算法推广到三维各向异性介质。使用Luo-Rudy 1(LR1)和Fitzhugh-Nagumo模型研究了该算法在各向异性和非均匀2D和3D区域的精度和效率。对于在LR1膜动力学和旋转各向异性与人类心脏中发现的相似的3D组织平板中传播的波,与使用AMRA方法最好分辨率的均匀时空网格的算法相比,在加速和节省内存方面分别发现了50和30倍。对于各向异性的2D和3D介质,我们发现与均匀的时空网格相比,精度没有降低。这些结果表明,AMRA将能够使用32个1-GHz Alpha处理器在大约9小时内定量模拟1 S犬的脑室三维电动力学。(C)2003美国物理研究所。
A recently developed space-time adaptive mesh refinement algorithm (AMRA) for simulating isotropic one- and two-dimensional excitable media is generalized to simulate three-dimensional anisotropic media. The accuracy and efficiency of the algorithm is investigated for anisotropic and inhomogeneous 2D and 3D domains using the Luo-Rudy 1 (LR1) and FitzHugh-Nagumo models. For a propagating wave in a 3D slab of tissue with LR1 membrane kinetics and rotational anisotropy comparable to that found in the human heart, factors of 50 and 30 are found, respectively, for the speedup and for the savings in memory compared to an algorithm using a uniform space-time mesh at the finest resolution of the AMRA method. For anisotropic 2D and 3D media, we find no reduction in accuracy compared to a uniform space-time mesh. These results suggest that the AMRA will be able to simulate the 3D electrical dynamics of canine ventricles quantitatively for 1 s using 32 1-GHz Alpha processors in approximately 9 h. (C) 2003 American Institute of Physics.