Comparative study of the numerical solution of the reaction-diffusion equation as a mechanism for evaluating atrial fibrillatory dynamics

Atrial fibrillation (AF) is the most common supraventricular arrhythmia in clinical practice. When pharmacological treatment fails to reverse the arrhythmia, ablation techniques have been shown to be successful in paroxysmal AF; however, persistent AF does not respond in the same way, so the choice of ablation zones is a latent problem. In silico studies have addressed the problem of reproducing the propagation of the action potential under conditions of electrophysiological remodeling by AF, where one of its objectives is to assist the electrophysiologist by establishing potential zones as ablation targets through computational simulations. The propagation of the action potential is described from reaction-diffusion systems that include temporal and spatial partial derivatives, however, if they are not correctly implemented, they introduce artifacts in the simulated propagation dynamics without any biophysical meaning, which can affect the reading. and in the interpretation of results. In this sense, this low-cost project seeks to study the effect of the parameterization of the numerical scheme for the resolution of the reaction-diffusion equation on the dynamics of atrial fibrillation propagation.

General ObjectiveTo study the effect of the parameterization of the numerical scheme for solving the reaction-diffusion equation on the dynamics of atrial fibrillation propagation. Specific Objectives1. Develop models of atrial tissues under conditions of sinus rhythm and atrial fibrillation.2. Evaluate atrial electrical conduction by applying different numerical approximation schemes of the reaction-diffusion equation.3. Comparatively evaluate the dynamics of fibrillatory propagation resulting from implementing different numerical schemes for the resolution of the reaction-diffusion equation.

Comparative study of different numerical schemes for solving the reaction-diffusion equation on atrial fibrillation propagation dynamics. Products: 1 article ART_A2, 2 papers EC_A, 1 undergraduate work (USBmed student)