Linkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Differential Equations

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dc.contributor.authorKroiz, Gerson C.
dc.contributor.authorBarajas, Carlos
dc.contributor.authorGobbert, Matthias K.
dc.contributor.authorPeercy, Bradford E.
dc.date.accessioned2020-03-11T14:25:18Z
dc.date.available2020-03-11T14:25:18Z
dc.description.abstractCardiac arrhythmias affect millions of adults in the U.S. each year. This irregularity in the beating of the heart is often caused by dysregulation of calcium in cardiomyocytes, the cardiac muscle cell. Cardiomyocytes function through the interplay between electrical excitation, calcium signaling, and mechanical contraction, an overall process known as calcium induced calcium release (CICR). A system of seven coupled non-linear time-dependent partial differential equations (PDEs), which model physiological variables in a cardiac cell, link the processes of cardiomyocytes. Through parameter studies for each component system at a time, we create a set of values for critical parameters that connect the calcium store in the sarcoplasmic reticulum, the effect of electrical excitation, and mechanical contraction in a physiologically reasonable manner. This paper shows the design process of this set of parameters and then shows the possibility to study the influence of a particular problem parameter using the overall model.en_US
dc.description.sponsorshipThe hardware in the UMBC High Performance Computing Facility (HPCF) is supported by the U.S. National Science Foundation through the MRI program (grant nos. CNS–0821258, CNS–1228778, and OAC–1726023) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See hpcf.umbc.edu for more information on HPCF and the projects using its resources. Co-author Carlos Barajas was supported by UMBC as HPCF RA.en_US
dc.description.urihttp://hpcf-files.umbc.edu/research/papers/CICR_7variable_INVOLVE.pdfen_US
dc.format.extent28 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m2ciwl-g6ze
dc.identifier.citationKroiz Gerson C, Barajas Carlos, Gobbert Matthias K, Peercy Bradford E, Linkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Differential Equations, http://hpcf-files.umbc.edu/research/papers/CICR_7variable_INVOLVE.pdfen_US
dc.identifier.urihttp://hdl.handle.net/11603/17538
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectUMBC High Performance Computing Facility (HPCF)en_US
dc.titleLinkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Differential Equationsen_US
dc.typeTexten_US

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