The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106-131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions and are in good agreement with numerical estimates.

中文翻译：

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附录：动作电位的传播与心肌细胞-成纤维细胞耦合在心房模型中的阻滞。

我们先前研究的分析理论（Mortensen等人，2021，Math。Med。Biol。，38，106-131）被扩展为解决成纤维细胞屏障分布和肌细胞海峡分布的突出案例。特别是，对于这两个不均匀的成纤维细胞分布，得出了静息膜电位和传播关键参数值的闭式近似值，并且与数值估算值非常吻合。