Uncertainty analysis of heart dynamics using Random Matrix Theory

摘要

This paper deals with the uncertainty analysis of the cardiac system described by a mathematical model. The model is composed of three-coupled nonlinear oscillators with time-delayed connections. The main idea is to investigate heart dynamics using the Random Matrix Theory, modeling uncertainties and establishing the impact of the probabilistic model on the dynamic response of the system Two advantages of the proposed methodology should be pointed out model uncertainties are taken into account considering, for instance, connection among different oscillators; and the uncertainty level is controlled by only one parameter. Results show that, in general, the model is able to capture the main dynamic behaviors of the cardiac system. It is also observed that pathological behaviors can evolve from normal rhythms due to random couplings.