Analytically Solvable Asymptotic Model of Atrial Excitability

TL;DR

This paper introduces a simplified three-variable model of atrial excitation that is analytically solvable and closely matches realistic biophysical models, enabling easier analysis and simulation of cardiac excitation dynamics.

Contribution

The paper presents a novel asymptotic derivation of a simplified, analytically solvable atrial excitation model from a complex biophysical model, extending previous work.

Findings

Analytical solutions closely match realistic models

Model enables efficient numerical simulations

New techniques facilitate cardiac excitation studies

Abstract

We report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques \new{from the biophysically realistic model of Courtemanche et al (1998) in extension of our previous similar models. An iterative analytical solution of the model is presented which is in excellent quantitative agreement with the realistic model. It opens new possibilities for analytical studies as well as for efficient numerical simulation of this and other cardiac models of similar structure.