Department of Physics, South China University of Technology, Guangzhou, China.
Department of Medicine, David Geffen School of Medicine, University of California, Los Angeles, California, United States of America.
PLoS Comput Biol. 2018 Nov 26;14(11):e1006382. doi: 10.1371/journal.pcbi.1006382. eCollection 2018 Nov.
Early afterdepolarizations (EADs) are spontaneous depolarizations during the repolarization phase of an action potential in cardiac myocytes. It is widely known that EADs are promoted by increasing inward currents and/or decreasing outward currents, a condition called reduced repolarization reserve. Recent studies based on bifurcation theories show that EADs are caused by a dual Hopf-homoclinic bifurcation, bringing in further mechanistic insights into the genesis and dynamics of EADs. In this study, we investigated the EAD properties, such as the EAD amplitude, the inter-EAD interval, and the latency of the first EAD, and their major determinants. We first made predictions based on the bifurcation theory and then validated them in physiologically more detailed action potential models. These properties were investigated by varying one parameter at a time or using parameter sets randomly drawn from assigned intervals. The theoretical and simulation results were compared with experimental data from the literature. Our major findings are that the EAD amplitude and takeoff potential exhibit a negative linear correlation; the inter-EAD interval is insensitive to the maximum ionic current conductance but mainly determined by the kinetics of ICa,L and the dual Hopf-homoclinic bifurcation; and both inter-EAD interval and latency vary largely from model to model. Most of the model results generally agree with experimental observations in isolated ventricular myocytes. However, a major discrepancy between modeling results and experimental observations is that the inter-EAD intervals observed in experiments are mainly between 200 and 500 ms, irrespective of species, while those of the mathematical models exhibit a much wider range with some models exhibiting inter-EAD intervals less than 100 ms. Our simulations show that the cause of this discrepancy is likely due to the difference in ICa,L recovery properties in different mathematical models, which needs to be addressed in future action potential model development.
早期后除极(EADs)是心肌细胞动作电位复极化期间的自发性去极化。众所周知,EADs 是通过增加内向电流和/或减少外向电流而促进的,这种情况称为复极化储备减少。基于分岔理论的最近研究表明,EADs 是由双 Hopf-同宿分岔引起的,这为 EADs 的发生和动力学提供了进一步的机制见解。在这项研究中,我们研究了 EAD 特性,例如 EAD 幅度、EAD 间隔和第一个 EAD 的潜伏期及其主要决定因素。我们首先根据分岔理论进行预测,然后在生理上更详细的动作电位模型中验证它们。这些特性是通过一次改变一个参数或使用从指定区间随机抽取的参数集来研究的。将理论和模拟结果与文献中的实验数据进行了比较。我们的主要发现是,EAD 幅度和起飞电位呈负线性相关;EAD 间隔对最大离子电流电导不敏感,但主要由 ICa,L 的动力学和双 Hopf-同宿分岔决定;EAD 间隔和潜伏期在不同模型之间变化很大。大多数模型结果与孤立心室肌细胞的实验观察结果基本一致。然而,建模结果与实验观察之间的一个主要差异是,实验中观察到的 EAD 间隔主要在 200 到 500 毫秒之间,与物种无关,而数学模型的结果则显示出更宽的范围,有些模型的 EAD 间隔小于 100 毫秒。我们的模拟表明,这种差异的原因可能是不同数学模型中 ICa,L 恢复特性的差异,这需要在未来的动作电位模型开发中加以解决。