Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium

The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in i...

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Bibliographic Details
Published in:Journal of molecular and cellular cardiology 1996-03, Vol.28 (3), p.475-486
Main Authors: Katsnelson, Leonid B., Markhasin, Vladimir S.
Format: Article
Language:English
Subjects:
Calcium - metabolism
Calcium transient
Calcium-troponin binding
Computer Simulation
Heart - physiology
Hypertrophy
Isometric Contraction
Kinetics
Mathematical model
Mechanochemical uncoupling
Models, Cardiovascular
Muscle contraction and relaxation
Muscle Relaxation
Myocardial Contraction
Myocardium - metabolism
Sarcoplasmic reticulum
Space life sciences
Time Factors
Troponin - metabolism
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Summary:The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in isotonic and isometric conditions, being dependent on initial muscle length as well. Numerical experiments and analysis of the model suggest that calcium uptake by the sarcoplasmic reticulum slows down with an increase in the intracellular concentration of free calcium. This suggestion enables the model to explain the disappearance of load-dependent relaxation observed experimentally at cardiac hypertrophy.
ISSN:0022-2828
1095-8584
DOI:10.1006/jmcc.1996.0044