Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling

TL;DR

This paper extends an analytical model of atrial tissue to include non-uniform fibroblast distributions, providing closed-form approximations for resting potential and propagation thresholds, validated by numerical estimates.

Contribution

It introduces new analytical solutions for complex fibroblast distributions in atrial tissue models, enhancing understanding of action potential propagation and block.

Findings

Closed-form approximations match numerical estimates

New insights into fibroblast barrier and strait effects

Enhanced model accuracy for atrial tissue simulations

Abstract

The analytical theory of our earlier study (Mortensen et al. (2021), Mathematical Medicine and Biology, 38(1), pp. 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.