论文标题
具有动力学间隙连接的心脏中电活动的微观三域模型。第1部分 - 建模和良好的
Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 -- Modeling and Well-Posedness
论文作者
论文摘要
我们提出了一种新型的微观三体群模型，该模型描述了具有动力学间隙连接的心脏组织中的电活动。显微镜三域系统由三个PDE组成，它们在细胞内和细胞外结构域中建模组织电导，并补充了非线性ODE系统，用于离子通道和间隙连接的动力学。我们确定了微观三域模型的薄弱解决方案的全球存在和唯一性。构成本文的主要结果的全局解决方案的存在是通过近似非分级系统，Faedo-Galerkin方法和适当的紧凑性论点证明的。
We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the intra-and extra-cellular domains, supplemented by a nonlinear ODE system for the dynamics of the ion channels and the gap junctions. We establish the global existence and uniqueness of the weak solutions to our microscopic tridomain model. The global existence of solution, which constitutes the main result of this paper, is proved by means of an approximate non-degenerate system, the Faedo-Galerkin method, and an appropriate compactness argument.
