Origin of arrhythmias in a heart model

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dc.contributor.author Sheheitli, Hiba
dc.contributor.author Rand, Richard
dc.date.accessioned 2017-09-28T13:05:13Z
dc.date.available 2017-09-28T13:05:13Z
dc.date.copyright 2009 en_US
dc.date.issued 2017-09-28
dc.identifier.issn 1007-5704 en_US
dc.identifier.uri http://hdl.handle.net/10725/6291
dc.description.abstract An investigation of the nonlinear dynamics of a heart model is presented. The model compartmentalizes the heart into one part that beats autonomously (the x oscillator), representing the pacemaker or SA node, and a second part that beats only if excited by a signal originating outside itself (the y oscillator), representing typical cardiac tissue. Both oscillators are modeled by piecewise linear differential equations representing relaxation oscillators in which the fast time portion of the cycle is modeled by a jump. The model assumes that the x oscillator drives the y oscillator with coupling constant α. As α decreases, the regular behavior of y oscillator deteriorates, and is found to go through a series of bifurcations. The irregular behavior is characterized as involving a large amplitude cycle followed by a number n of small amplitude cycles. We compute critical bifurcation values of the coupling constant, αn, using both numerical methods as well as perturbations. en_US
dc.language.iso en en_US
dc.title Origin of arrhythmias in a heart model en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SOE en_US
dc.author.idnumber 201306323 en_US
dc.author.department Industrial And Mechanical Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal Communications in Nonlinear Science and Numerical Simulation en_US
dc.journal.volume 4 en_US
dc.journal.issue 11 en_US
dc.article.pages 3707-3714 en_US
dc.keywords Nonlinear vibrations en_US
dc.keywords Cardiology en_US
dc.keywords Relaxation oscillations en_US
dc.keywords Alternans en_US
dc.keywords Arrhythmias en_US
dc.keywords Coupled oscillators en_US
dc.identifier.doi https://doi.org/10.1016/j.cnsns.2009.03.016 en_US
dc.identifier.ctation Sheheitli, H., & Rand, R. (2009). Origin of arrhythmias in a heart model. Communications in Nonlinear Science and Numerical Simulation, 14(11), 3707-3714. en_US
dc.author.email hiba.sheheitli@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url http://www.sciencedirect.com/science/article/pii/S100757040900152X en_US
dc.author.affiliation Lebanese American University en_US

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