A simple kinetic model of myocardium contraction: Calcium-mechanics coupling

Syomin, F. A.

doi:10.1134/s0006350914050224

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…We also have developed a simplified model in which the shape of LV was approximated by an axisymmetric body . The model was based on an earlier version of our model of the cardiac muscle . Although haemodynamics was described by a simple lumped parameter model that contained only the systemic circulation, the results of the simulation reproduced some major features of system haemodynamics and provided a strain distribution from LV base to apex similar to those found in human hearts.…”

Section: Introductionmentioning

confidence: 99%

Multiscale simulation of the effects of atrioventricular block and valve diseases on heart performance

Syomin

Zberia

Tsaturyan

2019

Numer Methods Biomed Eng

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A new mathematical model of the cardiovascular system is proposed. The left ventricle is described by an axisymmetric multiscale model where myocardium is treated as an incompressible transversely isotropic medium with a realistic distribution of fibre orientation. Active tension and its regulation by Ca2+ ions are described by our recent kinetic model. A lumped parameter model is used for the simulation of blood circulation, in which the left and right atria and the right ventricle are described by a system of ordinary differential equations for active pressure‐volume relationships. The stress and strain of the left ventricle myocardium were calculated by the finite element method implemented by the authors. The changes in the haemodynamics upon changes in preload of a healthy heart, upon physical exercise, and in case of atrioventricular block with different types of arrhythmias were simulated. To simulate the effect of stenosis or regurgitation of the aortic or mitral valves, the hydraulic and inertial flow resistances of the heart valves were set as functions of their orifice areas. The model reproduced a number of phenomena observed in clinical practice, including the classification of the severity of valve disease.

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Section: Introductionmentioning

confidence: 99%

Multiscale simulation of the effects of atrioventricular block and valve diseases on heart performance

Syomin

Zberia

Tsaturyan

2019

Numer Methods Biomed Eng

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A simple model of cardiac muscle for multiscale simulation: Passive mechanics, crossbridge kinetics and calcium regulation

Syomin

Tsaturyan

2017

Journal of Theoretical Biology

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Mechanical model of the left ventricle of the heart approximated by axisymmetric geometry

Syomin¹,

Tsaturyan²

2017

Russian Journal of Numerical Analysis and Mathematical Modelling

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An axisymmetric model is suggested to simulate mechanical performance of the left ventricle of the heart. Cardiac muscle is treated as incompressible anisotropic material with active tension directed along muscle fibres. This tension depends on kinetic variables that characterize interaction of contractile proteins and regulation of muscle contraction by calcium ions. For numerical simulation of heartbeats the finite element method was implemented. The model reproduces well changes in ventricle geometry between systole and diastole, ejection fraction, pulse wave of ventricular and arterial pressure typical for normal human heart. The model also reproduces well the dependence of the stroke volume on end-diastolic and arterial pressures (the Frank–Starling law of the heart and Anrep effect). The results demonstrate that our model of cardiac muscle can be successfully applied to multiscale 3D simulation of the heart.

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A simple kinetic model of myocardium contraction: Calcium-mechanics coupling

Cited by 3 publications

References 21 publications

Multiscale simulation of the effects of atrioventricular block and valve diseases on heart performance

Multiscale simulation of the effects of atrioventricular block and valve diseases on heart performance

A simple model of cardiac muscle for multiscale simulation: Passive mechanics, crossbridge kinetics and calcium regulation

Mechanical model of the left ventricle of the heart approximated by axisymmetric geometry

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