Modeling the Links Between the Chemical, Electrical and Contractile Calcium Dynamics in a Heart Cell

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REU2016Team5.pdf (18.17 MB)

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https://userpages.umbc.edu/~gobbert/papers/REU2016Team5.pdf

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http://hdl.handle.net/11603/11334

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection
UMBC Student Collection

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Date

2016

Type of Work

technical report
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This item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.

Subjects

Calcium-induced calcium release
Cardiomyocytes
Contractile cardiac dynamics
Chemical cardiac dynamics
Electrical cardiac dynamics
UMBC High Performance Computing Facility (HPCF)

Abstract

Calcium dysregulation is a signi cant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and diffcult to predict. Cardiac calcium levels can be modelled as a system of partial differential equations linking the electrical, calcium, and mechanical dynamics of the heart. Earlier work on this subject established a model linking the chemical and electrical systems, which did not include the contractile or mechanical in uence. We have expanded the most recent extant model to include the mechanical aspect of calcium dynamics in the heart.