# Analysis of an Experimental Model of In Vitro Cardiac Tissue Using Phase Space Reconstruction

* Auteur correspondant
Abstract : The in vitro cultures of cardiac cells represent valuable models to study the mechanism of the arrhythmias at the cellular level. But the dynamics of these experimental models cannot be characterized precisely, as they include a lot of parameters that depend on experimental conditions. This paper is devoted to the investigation of the dynamics of an in vitro model using a phase space reconstruction. Our model, based on the heart cells of new born rats, generates electrical field potentials acquired using a microelectrode technology, which are analyzed in normal and under external stimulation conditions. Phase space reconstructions of electrical field potential signals in normal and arrhythmic cases are performed after characterizing the nonlinearity of the model, computing the embedding dimension and the time lag. A non-parametric statistical test (Kruskal-Wallis test) shows that the time lag $\tau$ could be used as an indicator to detect arrhythmia, while the embedding dimension is not significantly different between the normal and the arrhythmia cases. The phase space reconstructions highlight attractors, whose dimension reveals that they are strange, depicting a deterministic dynamics of chaotic nature in our in vitro model.
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https://hal.inria.fr/hal-01009125
Contributeur : Binbin Xu <>
Soumis le : mardi 17 juin 2014 - 12:47:01
Dernière modification le : jeudi 10 septembre 2015 - 01:08:57
Document(s) archivé(s) le : mercredi 17 septembre 2014 - 11:01:54

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### Citation

Binbin Xu, Sabir Jacquir, Gabriel Laurent, Jean-Marie Bilbault, Stéphane Binczak. Analysis of an Experimental Model of In Vitro Cardiac Tissue Using Phase Space Reconstruction. Biomedical Signal Processing & Control, Elsevier, 2014, <http://www.sciencedirect.com/science/article/pii/S1746809414000925>. <10.1016/j.bspc.2014.06.005>. <hal-01009125>

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