Homogenization of a modified bidomain model involving imperfect transmission

TL;DR

This paper uses the periodic unfolding technique to homogenize a modified bidomain model in cardiac electrophysiology, accounting for pathological zones and complex interface conditions.

Contribution

It introduces a homogenization approach for a bidomain model with non-standard transmission conditions and pathological zones in cardiac tissue.

Findings

Derived effective macroscopic equations for damaged cardiac tissue

Extended homogenization techniques to complex interface geometries

Provided mathematical framework for pathological zone modeling

Abstract

We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zones in the heart, involves various geometries and non-standard transmission conditions on the interface between the healthy and the damaged part of the cardiac muscle.