Complex Systems Modeling Laboratory, University of Aizu, Aizu-Wakamatsu, Japan.
Department of Anatomy and Histology, Fukushima Medical University, Fukushima, Japan.
PLoS One. 2022 Apr 11;17(4):e0257935. doi: 10.1371/journal.pone.0257935. eCollection 2022.
Simplified nonlinear models of biological cells are widely used in computational electrophysiology. The models reproduce qualitatively many of the characteristics of various organs, such as the heart, brain, and intestine. In contrast to complex cellular ion-channel models, the simplified models usually contain a small number of variables and parameters, which facilitates nonlinear analysis and reduces computational load. In this paper, we consider pacemaking variants of the Aliev-Panfilov and Corrado two-variable excitable cell models. We conducted a numerical simulation study of these models and investigated the main nonlinear dynamic features of both isolated cells and 1D coupled pacemaker-excitable systems. Simulations of the 2D sinoatrial node and 3D intestine tissue as application examples of combined pacemaker-excitable systems demonstrated results similar to obtained previously. The uniform formulation for the conventional excitable cell models and proposed pacemaker models allows a convenient and easy implementation for the construction of personalized physiological models, inverse tissue modeling, and development of real-time simulation systems for various organs that contain both pacemaker and excitable cells.
简化的非线性生物细胞模型在计算电生理学中得到了广泛应用。这些模型在定性上再现了许多不同器官（如心脏、大脑和肠道）的特征。与复杂的细胞离子通道模型相比，简化模型通常包含少量的变量和参数，这便于进行非线性分析并降低计算负荷。本文考虑了 Aliev-Panfilov 和 Corrado 两变量可兴奋细胞模型的起搏变体。我们对这些模型进行了数值模拟研究，并研究了孤立细胞和 1D 耦合起搏-可兴奋系统的主要非线性动力学特征。作为组合起搏-可兴奋系统的应用实例，对 2D 窦房结和 3D 肠组织进行了模拟，结果与之前获得的结果相似。传统可兴奋细胞模型和提出的起搏模型的统一公式允许方便和容易地构建个性化生理模型、组织的逆模型以及包含起搏细胞和可兴奋细胞的各种器官的实时仿真系统的开发。
