Hysteresis and bistability in periodically paced cardiac tissue

Xiaodong Huang, Yu Qian, Xiaoming Zhang, and Gang Hu

Phys. Rev. E 81, 051903 – Published 4 May 2010

Abstract

Hysteresis in periodically paced cardiac tissue is an important issue due to its relevance to cardiac arrhythmias. In the present paper, the mechanism of hysteresis formation and the related properties are interpreted by numerically investigating the phase I Luo-Rudy model. A formula calculating the width of hysteresis is proposed and well confirmed by numerical simulations. We also find that hysteresis in cardiac tissue shows several characteristics due to couplings among cardiac cells which are absent in a single cell. The influences of the physiological parameters are studied in detail. The model dependence of hysteresis is elucidated by considering a number of well-known models of excitable media. Moreover, the influence of bistability on controlling arrhythmias is revealed.

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Received 8 December 2009

DOI:https://doi.org/10.1103/PhysRevE.81.051903

Authors & Affiliations

Xiaodong Huang¹, Yu Qian², Xiaoming Zhang^3,*, and Gang Hu^1,†

¹Department of Physics, Beijing Normal University, Beijing 100875, China
²Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China
³College of Physics Science and Technology, Shenzhen University, Shenzhen 518060, China

^*xmzhang@szu.edu.cn
^†ganghu@bnu.edu.cn

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Issue

Vol. 81, Iss. 5 — May 2010

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics