Development of the single ventricle heart mathematical model based on the equation of forced oscillations

Aleksandr P. Chernyaev^1*, Elena R. Pavlyukova², Alla Yu. Meyerson³

¹ Moscow Institute of Physics and Technology

Russia, 141701, Moscow region, Dolgoprudny, Institutsky per., 9

² Kotel'nikov Institute of Radio Engineering and Electronics of RAS

Russia, 125009, Moscow, Mokhovaya str. 11, build. 7

³ Plekhanov Russian University of Economics

Russia, 117997, Moscow, Stremyaniy per, 36

* Corresponding author

+7 (903) 558-85-69

[email protected]

Abstract

Not only protozoa being the simplest organisms have a single ventricle heart. Artificial heart systems used in cardiac surgery can be also of the single-ventricle design. Besides, there is a “single-ventricle heart condition”, i.e. a complex of defects in the structure of the heart that may occur in some human individuals and that may be found with different occurrence rate and severity. This defect should be attributed to an uneven development and malformation of some individual heart segments in the prenatal period. Single Ventricle belongs to the category of congenital heart defects. The latter greatly increases the scientific interest in studying the features of mathematical models of the single-ventricle heart condition. Herein, we offer our study on some issues of the smoothness of sewing of the exact solutions of a mathematical model of a single-ventricle heart based on the equation of forced oscillations.

Imprint

Aleksandr P. Chernyaev, Elena R. Pavlyukova, Alla Yu. Meyerson. Development of the single ventricle heart mathematical model based on the equation of forced oscillations. Cardiometry; Issue 18; May 2021; p.56-59; DOI: 10.18137/cardiometry.2021.18.5659; Available from: http://www.cardiometry.net/issues/no18-may-2021/heart-mathematical-model

Keywords

Active heart ventricle, Passive heart ventricle, Equations for free and forced oscillations, Artificial single-ventricle heart, Congenital defect

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