Phase space reconstruction of an experimental model of cardiac field potential in normal and arrhythmic conditions

Abstract

Cardiac arrhythmias are one of the most important death causes in the world. Compared to the numerical models, the experimental ones provide a more realistic tool to study the mechanisms of cardiac arrhythmias. The in vitro culture of cardiac cells developed on the Multi-Electrodes Array (MEA) constitutes a suitable model in this context. The extracellular field potential (EFP) acquired from the MEA can be used to measure the electrophysiological parameters of action potential. In this article, the stability of this experimental model is investigated using the phase space reconstruction in normal and in arrhythmia conditions. The results show that the embedding dimension of signal EFP changed slightly in both cases (normal conditions and arrhythmia). The parameter time lag τ in the normal conditions is lower than in the arrhythmia. The shape of attractors remains similar but disturbed in case of arrhythmia compared to the normal conditions.

Persistence Landscape-based Topological Data Analysis for Personalized Arrhythmia Classification

“…As a typical method for phase-space reconstruction, the time-delay embedding had already been used to study dynamical systems. With time-delay embedding, the underlying dynamical systems can be recovered from observed time-series data, such as in industrial applications [9,10] and human body systems [11][12][13]. The idea that the human heart as a dynamical system and the application of the time-delay embedding technique for phase-space reconstruction from ECG signals was first proposed in [6].…”