Chaos control applied to heart rhythm dynamics

被引:53
作者
Ferreira, Bianca Borem [1 ]
de Paula, Aline Souza [2 ]
Savi, Marcelo Amorim [1 ]
机构
[1] Univ Fed Rio de Janeiro, COPPE, Dept Mech Engn, BR-21941972 Rio De Janeiro, Brazil
[2] Univ Brasilia, Dept Mech Engn, BR-70910900 Brasilia, DF, Brazil
关键词
FEEDBACK-CONTROL;
D O I
10.1016/j.chaos.2011.05.009
中图分类号
O1 [数学];
学科分类号
070101 [基础数学];
摘要
The dynamics of cardiovascular rhythms have been widely studied due to the key aspects of the heart in the physiology of living beings. Cardiac rhythms can be either periodic or chaotic, being respectively related to normal and pathological physiological functioning. In this regard, chaos control methods may be useful to promote the stabilization of unstable periodic orbits using small perturbations. In this article, the extended time-delayed feedback control method is applied to a natural cardiac pacemaker described by a mathematical model. The model consists of a modified Van der Pol equation that reproduces the behavior of this pacemaker. Results show the ability of the chaos control strategy to control the system response performing either the stabilization of unstable periodic orbits or the suppression of chaotic response, avoiding behaviors associated with critical cardiac pathologies. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:587 / 599
页数:13
相关论文
共 32 条
[1]
EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].
AUERBACH, D ;
CVITANOVIC, P ;
ECKMANN, JP ;
GUNARATNE, G ;
PROCACCIA, I .
PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389
[2]
IS THE NORMAL HEART A PERIODIC OSCILLATOR [J].
BABLOYANTZ, A ;
DESTEXHE, A .
BIOLOGICAL CYBERNETICS, 1988, 58 (03) :203-211
[3]
Introduction: Mapping and control of complex cardiac arrhythmias [J].
Christini, DJ ;
Glass, L .
CHAOS, 2002, 12 (03) :732-739
[4]
Nonlinear-dynamical arrhythmia control in humans [J].
Christini, DJ ;
Stein, KM ;
Markowitz, SM ;
Mittal, S ;
Slotwiner, DJ ;
Scheiner, MA ;
Iwai, S ;
Lerman, BB .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2001, 98 (10) :5827-5832
[6]
Controlling chaos in a nonlinear pendulum using an extended time-delayed feedback control method [J].
de Paula, Aline Souza ;
Savi, Marcelo Amorim .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2981-2988
[7]
A multiparameter chaos control method based on OGY approach [J].
de Paula, Aline Souza ;
Savi, Marcelo Amorim .
CHAOS SOLITONS & FRACTALS, 2009, 40 (03) :1376-1390
[8]
A Multiparameter Chaos Control Method Applied to Maps [J].
de Paula, Aline Souza ;
Savi, Marcelo Amorim .
BRAZILIAN JOURNAL OF PHYSICS, 2008, 38 (04) :536-542
[9]
DEPAULA AS, INT J BIFURCATION CH
[10]
Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat [J].
dos Santos, AM ;
Lopes, SR ;
Viana, RL .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) :335-355