Quantitative roles of ion channel dynamics on ventricular action potential.

Ahmet Kürşad Sırcan, Sevgi Şengül Ayan
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Abstract

Mathematical models for the action potential (AP) generation of the electrically excitable cells including the heart are involved different mechanisms including the voltage-dependent currents with nonlinear time- and voltage-gating properties. From the shape of the AP waveforms to the duration of the refractory periods or heart rhythms are greatly affected by the functions describing the features or the quantities of these ion channels. In this work, a mathematical measure to analyze the regional contributions of voltage-gated channels is defined by dividing the AP into phases, epochs, and intervals of interest. The contribution of each time-dependent current for the newly defined cardiomyocyte model is successfully calculated and it is found that the contribution of dominant ion channels changes substantially not only for each phase but also for different regions of the cardiac AP. Besides, the defined method can also be applied in all Hodgkin-Huxley types of electrically excitable cell models to be able to understand the underlying dynamics better.

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离子通道动力学对心室动作电位的定量作用
包括心脏在内的电兴奋细胞动作电位(AP)产生的数学模型涉及不同的机制,包括具有非线性时间和电压门特性的电压依赖性电流。从动作电位波形的形状到折返期或心律的持续时间,都在很大程度上受到描述这些离子通道特征或数量的函数的影响。在这项研究中,通过将 AP 划分为阶段、时相和感兴趣的时间间隔,定义了一种分析电压门控通道区域贡献的数学测量方法。我们成功地计算了新定义的心肌细胞模型中每种随时间变化的电流的贡献率,发现主要离子通道的贡献率不仅在每个阶段有很大变化,而且在心脏 AP 的不同区域也有很大变化。此外,所定义的方法还可应用于所有霍奇金-赫胥黎类型的电兴奋细胞模型,以便更好地理解其基本动态。
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