Simula Research Laboratory, Center for Biomedical Computing, P.O. Box 134, Lysaker 1325, Norway.
Comput Biol Med. 2011 Aug;41(8):611-8. doi: 10.1016/j.compbiomed.2011.05.011. Epub 2011 May 31.
Instabilities in the electro-chemical resting state of the heart can generate ectopic waves that in turn can initiate arrhythmias. We derive methods for computing the resting state for mathematical models of the electro-chemical process underpinning a heartbeat, and we estimate the stability of the resting state by invoking the largest real part of the eigenvalues of a linearized model. The implementation of the methods is described and a number of numerical experiments illustrate the feasibility of the methods. In particular, we test the methods for problems where we can compare the solutions with analytical results, and problems where we have solutions computed by independent software. The software is also tested for a fairly realistic 3D model.
心脏电化学静止状态的不稳定性会产生异位波，进而引发心律失常。我们为心跳背后的电化学过程的数学模型推导出计算静止状态的方法，并通过调用线性化模型的特征值的最大实部来估计静止状态的稳定性。本文描述了方法的实现，并通过大量数值实验说明了方法的可行性。特别是，我们针对可以将解与解析结果进行比较的问题以及可以通过独立软件计算得到解的问题来测试方法。还针对相当真实的 3D 模型对软件进行了测试。
