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MODELISATION DE L'ACTIVITE ELECTRIQUE DU COEUR ET DE SA REGULATION PAR LE SYSTEME NERVEUX AUTONOME

Abstract : We developed a cellular cardiac electrical activity model which is less complex (eight state variables), without affecting the essential characteristics (action potential, principal ionic currents, restitution curve). Besides, we used the same model's structure in order to represent the electrical activity of various types of cardiac cells. This will allow the determining of cardiac regions in a parametric manner and will make easier the parametric identification in the numerical models of heart. Otherwise, the bifurcation analysis allowed us to determine the origin of oscillator regime in the pacemaker case, and to introduce a background calcium current that plays the role of a control input of the autonomic nervous system that allows him to modify the heart rate. On the other hand, it is not possible any more to simplify the model using singular perturbations method because it is not any more a Tikhonov's system. The model allows the implementation of the closed loop taking into account the control of the cardiovascular system by the baroreflex and the excitation-contraction coupling taking into account the effect of the frequency on the contractility.
After having shown the non-existence of periodic solutions in the reduced two ionic currents model of Mitchell-Schaeffer, we introduced a variant of this last and thus we have extended its excitability properties. The oscillator regime is obtained, either through a sub or super critical Hopf bifurcation, or through a saddle-node bifurcation on invariant circle. This reduced model is usable in ECG signal processing applications.
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https://tel.archives-ouvertes.fr/tel-00335673
Contributor : Karima Djabella <>
Submitted on : Thursday, October 30, 2008 - 11:28:27 AM
Last modification on : Friday, October 23, 2020 - 4:36:39 PM
Long-term archiving on: : Saturday, November 26, 2016 - 1:45:24 AM

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  • HAL Id : tel-00335673, version 1

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Karima Djabella. MODELISATION DE L'ACTIVITE ELECTRIQUE DU COEUR ET DE SA REGULATION PAR LE SYSTEME NERVEUX AUTONOME. Automatique / Robotique. Université Paris Sud - Paris XI, 2008. Français. ⟨tel-00335673⟩

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