A Second-Order Algorithm for Solving Dynamic Cell Membrane Equations
A Second-Order Algorithm for Solving Dynamic Cell Membrane Equations
复制标题
求解动态细胞膜方程的二阶算法
DOI：
10.1109/tbme.2009.2014739
复制
发表时间：
2009
影响因子：
4.6
通讯作者：
A. Tveito
中科院分区：
文献类型：
--
作者：
J. Sundnes;Robert Artebrant;Ola Skavhaug;A. Tveito
本文描述了一种被广泛应用于求解心肌细胞电生理动力学模型的数值方法--Rush-Larsen格式的推广。该方法将非线性项的局部线性化与线性常微分方程组的解析解相结合，得到二阶精度的数值格式。我们比较了二阶格式与原始Rush-Larsen方法和二阶Runge-Kutta(RK)方法的误差和计算量。数值结果表明，新方法在所有测试用例上都优于原Rush-Larsen格式。与RK求解器的比较表明，新方法对刚性问题的求解效率更高。
This paper describes an extension of the so-called Rush-Larsen scheme, which is a widely used numerical method for solving dynamic models of cardiac cell electrophysiology. The proposed method applies a local linearization of nonlinear terms in combination with the analytical solution of linear ordinary differential equations to obtain a second-order accurate numerical scheme. We compare the error and computational load of the second-order scheme to the original Rush-Larsen method and a second-order Runge-Kutta (RK) method. The numerical results indicate that the new method outperforms the original Rush-Larsen scheme for all the test cases. The comparison with the RK solver reveals that the new method is more efficient for stiff problems.
影响因子：
20.1
作者：
LUO, CH;RUDY, Y
通讯作者：
RUDY, Y
影响因子：
20.1
作者：
Winslow, RL;Rice, J;O'Rourke, B
通讯作者：
O'Rourke, B