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.

本文用数学模型描述了心脏系统的不确定性分析。该模型由具有延时连接的三耦合非线性振荡器组成。主要思想是使用随机矩阵理论研究心脏动力学，对不确定性进行建模，并建立概率模型对系统动态响应的影响。应指出所提出方法的两个优点：考虑模型不确定性，例如，不同振荡器之间的连接；不确定度水平仅由一个参数控制。结果表明，一般而言，该模型能够捕获心脏系统的主要动态行为。还观察到，由于随机偶合，病理行为可从正常节律演变而来。