A reduced order model for spatiotemporal dynamics and control of cardiac alternans

Xiaopeng Zhao, Elena G. Tolkacheva

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Sudden cardiac arrest, caused primarily by ventricular fibrillation, is one of the leading causes of mortality in the Western world. There is a compelling need for risk stratification to identify patients at risk for sudden cardiac arrest. Cardiac alternans, a recognized harbinger of sudden cardiac arrest, manifests as a beat-to-beat alternation in action potential duration (cellular level) or in electrocardiogram morphology (whole heart level). Although much progress has been made to understand the mechanisms of alternans, predicting and control of alternans, especially at the heart level, remain great challenges. Current approaches to predict cardiac alternans based on restitution properties of the heart are either too simple to be valid or too complex to be useful. In this work, we developed a reduced order model from the amplitude equation to investigate dynamics and control of alternans in cardiac fiber, i.e. beyond single cell level. Detailed bifurcation and stability analyses were carried out to illustrate complex spatiotemporal patterns of alternans and the limitations in feedback control due to spatial effect.

Original languageEnglish (US)
Title of host publicationAdvances in Control Design Methods; Advances in Nonlinear Control; Advances in Robotics; Assistive and Rehabilitation Robotics; Automotive Dynamics and Emerging Powertrain Technologies; Automotive Systems; Bio Engineering Applications; Bio-Mechatronics and Physical Human Robot Interaction; Biomedical and Neural Systems; Biomedical and Neural Systems Modeling, Diagnostics, and Healthcare
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791851890
StatePublished - 2018
EventASME 2018 Dynamic Systems and Control Conference, DSCC 2018 - Atlanta, United States
Duration: Sep 30 2018Oct 3 2018

Publication series

NameASME 2018 Dynamic Systems and Control Conference, DSCC 2018


OtherASME 2018 Dynamic Systems and Control Conference, DSCC 2018
Country/TerritoryUnited States

Bibliographical note

Funding Information:
This work was supported in part by the National Science Foundation under grant numbers CMMI-1661615 (X.Z.) and CMMI-1662250 (E.G.T.).

Publisher Copyright:
Copyright © 2018 ASME.


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