A master stability function approach to cardiac alternans

Lai, Yi Ming; Veasy, Joshua; Coombes, Stephen; Thul, R�diger

Abstract

During a single heartbeat, muscle cells in the heart contract and relax. Under healthy conditions, the behaviour of these muscle cells is almost identical from one beat to the next. However, this regular rhythm can be disturbed giving rise to a variety of cardiac arrhythmias including cardiac alternans. Here, we focus on so-called microscopic calcium alternans and show how their complex spatial patterns can be understood with the help of the master stability function. Our work makes use of the fact that cardiac muscle cells can be conceptualised as a network of networks, and that calcium alternans correspond to an instability of the synchronous network state. In particular, we demonstrate how small changes in the coupling strength between network nodes can give rise to drastically different activity patterns in the network.

Citation

Lai, Y. M., Veasy, J., Coombes, S., & Thul, R. (2019). A master stability function approach to cardiac alternans. Applied Network Science, 4(1), Article 90. https://doi.org/10.1007/s41109-019-0199-z

• Journal Article Type: Article
• Acceptance Date: Aug 23, 2019
• Online Publication Date: Oct 26, 2019
• Publication Date: 2019-12
• Deposit Date: Aug 30, 2019
• Publicly Available Date: Nov 2, 2019
• Journal: Applied Network Science
• Electronic ISSN: 2364-8228
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 4
• Issue: 1
• Article Number: 90
• DOI: https://doi.org/10.1007/s41109-019-0199-z
• Keywords: synchrony; network instability; cardiac arrhythmias
• Public URL: https://nottingham-repository.worktribe.com/output/2521173
• Publisher URL: https://appliednetsci.springeropen.com/articles/10.1007/s41109-019-0199-z
• Additional Information: Received: 6 March 2019; Accepted: 30 August 2019; First Online: 26 October 2019; : Not applicable.; : The authors declare that they have no competing interests.
• Contract Date: Aug 30, 2019