Analysis and simulation of a modified cardiac cell model givesaccurate predictions of the dynamics of the original one

TL;DR

This study reduces a complex cardiac cell model to a simpler form, enabling bifurcation analysis that accurately predicts the original model's dynamics, including dangerous early afterdepolarisations linked to cardiac death.

Contribution

The paper introduces a reduced cardiac cell model suitable for bifurcation analysis, accurately predicting complex dynamics of the original model, including EADs and their link to cardiac death.

Findings

Reduced model closely approximates original model dynamics.

Bifurcation analysis predicts EADs in the original model.

Bifurcations linked to EADs predict cardiac death at tissue level.

Abstract

The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by means of bifurcation theory. The reformulated model is shown to be a good approximation of the original one. As a consequence, one can extract fairly precise predictions of the behaviour of the original model from the bifurcation analysis of the modified model. Thus, the findings of bifurcations linked to complex dynamics in the modified model - like early afterdepolarisations (EADs), which can be precursors to cardiac death - predicts the occurrence of the same dynamics in the original model. It is shown that bifurcations linked to EADs in the modified model accurately predicts EADs in the original model at the single cell level. Finally, these bifurcations are linked to cardiac death at the tissue level by example.