Modelagem computacional da eletrofisiologia cardíaca: o desenvolvimento de um novo modelo para células de camundongos e a avaliação de novos esquemas numéricos

Abstract

The modeling of the electrical activity of the heart is of great medical and scientific interest, because it provides a way to get a better understanding of the related biophysical phenomena, allows the development of new techniques for diagnoses as well as new drugs. Unfortunately, the modern mathematical models are of high complexity and computational costly. This study aims to: 1) The development of a computer model for the electrophysiology of cardiac cells from the mouse Sinoatrial Node; 2) To compare different numerical techniques for solving the ordinary differential equations associated to the cardiac models. During the development of the model, optimization techniques were used for all curve fitting procedures and parameter tuning in order to reproduce the experimental measurements described in the literature. The performance of explicit and implicit methods are evaluated, as well as the impact of computational techniques for code optimizations.