论文标题
具有反射边界的随机相模型，并引起心脏肌肉细胞的跳动
A stochastic phase model with reflective boundary and induced beating for the cardiac muscle cells
论文作者
论文摘要
我们考虑了心肌细胞社区效应的随机相模型。该模型是随机整合模型的扩展，其中我们在跳动后结合了不可逆性，诱导跳动和难治性。我们专注于研究（同步）跳动间隔的期望和差异。特别是，对于单个分离的单元，我们获得了跳动间隔的封闭形式的期望和方差，并且我们发现方差系数（CV）具有上限$ \ sqrt {2/3} $。对于两个耦合的单元，我们为预期同步跳动间隔和相分布密度得出了部分微分方程（PDE）。此外，我们还考虑了两种和$ n $ cells模型的常规库拉莫托模型，在这里我们使用随机计算来建立新的分析，以获得“同步”的跳动间隔的CV，并对文学作用进行一些改进。
We consider the stochastic phase models for the community effect of cardiac muscle cells. The model is the extension of the stochastic integrate-and-fire model in which we incorporate the irreversibility after beating, induced beating and refractory. We focus on investigating the expectation and variance of (synchronized) beating interval. In particular, for the single-isolated cell, we obtain the closed-form expectation and variance of the beating interval, and we discover that the coefficient of variance (CV) has upper limit $\sqrt{2/3}$. For two-coupled cells, we derive the partial differential equations (PDEs) for the expected synchronized beating intervals and the distribution density of phase. Moreover, we also consider the conventional Kuramoto model for both two- and $N$-cells models, where we establish a new analysis using stochastic calculus to obtain the CV of the ''synchronized'' beating interval, and make some improvement to the literature work.
