Uncertainty analysis of heart dynamics using Random Matrix Theory

被引：9

作者：

Cheffer, Augusto ^{[1
]}

Ritto, Thiago G. ^{[1
]}

Savi, Marcelo A. ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Ctr Nonlinear Mech, COPPE Dept Mech Engn, POB 68-503, BR-21941972 Rio De Janeiro, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2021年 / 129卷

关键词：

Nonlinear dynamics; Chaos; Cardiac rhythms; DDEs; Random matrix theory; MODEL; FIBRILLATION; VARIABILITY; CHAOS;

D O I：

10.1016/j.ijnonlinmec.2020.103653

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

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.

引用

页数：12

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