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Cardiac dynamics: a simplified model for action potential propagation

机译:心脏动力学:动作电位传播的简化模型

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This paper analyzes a new semiphysiological ionic model, used recently to study reexitations and reentry in cardiac tissue [I.R. Cantalapiedra et al, PRE 82 011907 (2010)]. The aim of the model is to reproduce action potencial morphologies and restitution curves obtained, either from experimental data, or from more complex electrophysiological models. The model divides all ion currents into four groups according to their function, thus resulting into fast-slow and inward-outward currents. We show that this simplified model is flexible enough as to accurately capture the electrical properties of cardiac myocytes, having the advantage of being less computational demanding than detailed electrophysiological models. Under some conditions, it has been shown to be amenable to mathematical analysis. The model reproduces the action potential (AP) change with stimulation rate observed both experimentally and in realistic models of healthy human and guinea pig myocytes (TNNP and LRd models, respectively). When simulated in a cable it also gives the right dependence of the conduction velocity (CV) with stimulation rate. Besides reproducing correctly these restitution properties, it also gives a good fit for the morphology of the AP, including the notch typical of phase 1. Finally, we perform simulations in a realistic geometric model of the rabbit’s ventricles, finding a good qualitative agreement in AP propagation and the ECG. Thus, this simplified model represents an alternative to more complex models when studying instabilities in wave propagation.
机译:本文分析了一种新的半生理离子模型,该模型最近用于研究心脏组织中的再激发和再进入[I.R. Cantalapiedra等人,PRE 82 011907(2010)]。该模型的目的是重现从实验数据或更复杂的电生理模型获得的动作电位形态和恢复曲线。该模型根据其功能将所有离子电流分为四组,从而产生快慢和内向外电流。我们表明,这种简化的模型具有足够的灵活性,可以准确地捕获心肌细胞的电特性,具有比详细的电生理模型更少的计算需求的优势。在某些情况下,它已被证明可以进行数学分析。该模型再现了在健康人和豚鼠心肌细胞的实验模型和实际模型(分别为TNNP和LRd模型)中观察到的随刺激率变化的动作电位(AP)变化。当在电缆中进行仿真时,它还给出了传导速度(CV)与刺激速率的正确相关性。除了正确地再现这些恢复特性之外,它还非常适合AP的形态,包括阶段1的典型缺口。最后,我们在现实的兔心室几何模型中进行了模拟,找到了AP中良好的定性一致性传播和心电图。因此,当研究波传播的不稳定性时,此简化模型代表了更复杂模型的替代方案。

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