Spatiotemporal control to eliminate cardiac alternans using isostable reduction

PHYSICA D-NONLINEAR PHENOMENA

卷:342

Article

Wilson, Dan¹  Moehlis, Jeff¹ 

[1] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

关键词: Alternans;    Isostables;    Isostable reduction;    Cardiac arrhythmia;    Optimal control;   

DOI  :  10.1016/j.physd.2016.11.001

来源: Elsevier

【 摘 要 】

Cardiac alternans, an arrhythmia characterized by a beat-to-beat alternation of cardiac action potential durations, is widely believed to facilitate the transition from normal cardiac function to ventricular fibrillation and sudden cardiac death. Alternans arises due to an instability of a healthy period-1 rhythm, and most dynamical control strategies either require extensive knowledge of the cardiac system, making experimental validation difficult, or are model independent and sacrifice important information about the specific system under study. Isostable reduction provides an alternative approach, in which the response of a system to external perturbations can be used to reduce the complexity of a cardiac system, making it easier to work with from an analytical perspective while retaining many of its important features. Here, we use isostable reduction strategies to reduce the complexity of partial differential equation models of cardiac systems in order to develop energy optimal strategies for the elimination of alternans. Resulting control strategies require significantly less energy to terminate alternans than comparable strategies and do not require continuous state feedback. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free