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9 avril 2024
- handle: 10670/1.6a1cgr
- doi: 10.1016/j.mbs.2015.12.007
CC BY-NC-ND 4.0 DEED : Attribution - Pas d’Utilisation Commerciale - Pas de Modification 4.0 International , https://creativecommons.org/licenses/by-nc-nd/4.0/deed.fr
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Computer modeling Cardiac electrophysiology Electrotonic coupling Action potential duration Parameter estimation Inverse problemCiter ce document
Vincent Jacquemet, « A simple analytical model of action potential duration profile in electrotonically-coupled cells », Papyrus : le dépôt institutionnel de l'Université de Montréal, ID : 10.1016/j.mbs.2015.12.007
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Electrotonic interactions between cardiac cells modulate the dispersion of action potential duration (APD). This paper provides a complete mathematical analysis of a simple model of exponential-shaped repolarization in a network of electrotonically-coupled cells with different intrinsic APDs. The forward problem consists in computing the APD map in the coupled system from the intrinsic APD map. A closed-form algebraic formula is derived for the forward problem. The inverse problem, inferring the intrinsic APDs from an APD map, is proved to have a unique solution (if any). Perturbation analysis leads to an efficient and accurate Newton-based solver for this specific inverse problem. Finally, an analytical expression is obtained for the convolution filter that solves the forward problem in one dimension. This mathematical framework forms a solid theoretical basis for future development and validation of repolarization parameter estimation techniques in detailed models of cardiac tissue.