Key result
Novel fibroblast spatial models accurately approximate resting membrane potential and conduction block thresholds.
Why the study?
To extend an analytical theory to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution in a model of atrial tissue with myocyte-fibroblast coupling.
Provides mathematical approximations for action potential propagation block in non-uniform fibrotic atrial tissues, supporting computational studies of arrhythmogenesis.
Mathematical approximations for fibrotic atrial propagation support computational arrhythmogenesis studies; leaves open human tissue validation.
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.
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Mortensen et al. (2021) studied atrial tissue with myocyte-fibroblast coupling (mathematical model). Non-uniform fibroblast spatial distributions (fibroblast barriers and myocyte straits) vs. Uniform fibroblast distribution was evaluated on Closed-form approximations to resting membrane potential and critical parameter values for propagation block. Fibroblast barrier and myocyte strait distribution models yielded closed-form approximations for resting membrane potential and propagation block that strongly agreed with numerical estimates.
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