Kurata Yasutaka, Tsumoto Kunichika, Hayashi Kenshi, Hisatome Ichiro, Kuda Yuhichi, Tanida Mamoru
Department of Physiology II, Kanazawa Medical University, Uchinada, Japan.
Department of Cardiovascular and Internal Medicine, Graduate School of Medical Sciences, Kanazawa University, Kanazawa, Japan.
Front Physiol. 2020 Jan 10;10:1545. doi: 10.3389/fphys.2019.01545. eCollection 2019.
Early afterdepolarization (EAD) is known to cause lethal ventricular arrhythmias in long QT syndrome (LQTS). In this study, dynamical mechanisms of EAD formation in human ventricular myocytes (HVMs) were investigated using the mathematical model developed by ten Tusscher and Panfilov ( 291, 2006). We explored how the rapid (I) and slow (I) components of delayed-rectifier K channel currents, L-type Ca channel current (I ), Na/Ca exchanger current (I), and intracellular Ca handling via the sarcoplasmic reticulum (SR) contribute to initiation, termination and modulation of phase-2 EADs during pacing in relation to bifurcation phenomena in non-paced model cells. Parameter-dependent dynamical behaviors of the non-paced model cell were determined by calculating stabilities of equilibrium points (EPs) and limit cycles, and bifurcation points to construct bifurcation diagrams. Action potentials (APs) and EADs during pacing were reproduced by numerical simulations for constructing phase diagrams of the paced model cell dynamics. Results are summarized as follows: (1) A modified version of the ten Tusscher-Panfilov model with accelerated I inactivation could reproduce bradycardia-related EADs in LQTS type 2 and β-adrenergic stimulation-induced EADs in LQTS type 1. (2) Two types of EADs with different initiation mechanisms, I reactivation-dependent and spontaneous SR Ca release-mediated EADs, were detected. (3) Termination of EADs (AP repolarization) during pacing depended on the slow activation of I. (4) Spontaneous SR Ca releases occurred at higher Ca uptake rates, attributable to the instability of steady-state intracellular Ca concentrations. Dynamical mechanisms of EAD formation and termination in the paced model cell are closely related to stability changes (bifurcations) in dynamical behaviors of the non-paced model cell, but they are model-dependent. Nevertheless, the modified ten Tusscher-Panfilov model would be useful for systematically investigating possible dynamical mechanisms of EAD-related arrhythmias in LQTS.
早期后除极(EAD)已知会在长QT综合征(LQTS)中引发致命性室性心律失常。在本研究中,使用ten Tusscher和Panfilov(2006年,291)开发的数学模型,研究了人类心室肌细胞(HVMs)中EAD形成的动力学机制。我们探讨了延迟整流钾通道电流的快速(I)和慢速(I)成分、L型钙通道电流(I)、钠/钙交换电流(I)以及通过肌浆网(SR)的细胞内钙处理如何在起搏过程中与非起搏模型细胞中的分岔现象相关联,从而对2期EAD的起始、终止和调节产生影响。通过计算平衡点(EPs)和极限环的稳定性以及分岔点来构建分岔图,确定非起搏模型细胞的参数依赖性动力学行为。通过数值模拟再现起搏过程中的动作电位(APs)和EADs,以构建起搏模型细胞动力学的相图。结果总结如下:(1)具有加速I失活的ten Tusscher-Panfilov模型的改进版本可以再现2型LQTS中与心动过缓相关的EADs以及1型LQTS中β-肾上腺素能刺激诱导的EADs。(2)检测到两种具有不同起始机制的EADs,即I再激活依赖性EADs和自发SR钙释放介导的EADs。(3)起搏过程中EADs的终止(AP复极化)取决于I的缓慢激活。(4)自发SR钙释放在较高的钙摄取速率下发生,这归因于稳态细胞内钙浓度的不稳定性。起搏模型细胞中EAD形成和终止的动力学机制与非起搏模型细胞动力学行为的稳定性变化(分岔)密切相关,但它们依赖于模型。尽管如此,改进的ten Tusscher-Panfilov模型将有助于系统地研究LQTS中与EAD相关心律失常的可能动力学机制。