Construction of a mathematical model of the heart muscle

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Construction of a mathematical model of the heart muscle

Popis výsledku v původním jazyce

According to statistics, the problem of cardiovascular disease ranks first among diseases [1-3]. The purpose of this work is to build a mathematical model of the heart muscle, which will more accurately reflect the behavior of the heart, for example in pathological contractions, in which the reduction of arbitrary areas of arbitrary fibers or external mechanical impact. The main idea of the model of the ventricle and the outer shell of the heart is the division of the surface into longitudinal flexible fibers connected by elastic ligaments. The model is presented in the form of an elastic system, which is described in terms of a system of differential equations [4-8]. They simulate the contraction forces of the heart muscle. A static mathematical model was also used, which representing the left ventricle and the outer surface of the heart as a paraboloid of rotation and an elliptical paraboloid, respectively, taking into account the spiral course of muscle fibers. Euler's method was used to numerically solve the system of differential equations. Based on the above models, software was created that reflects the dynamic behavior of the heart muscle. In the course of the work it was possible to select such parameters at which the dynamics of the model became close to the dynamics of the real heart muscle and other models of heart work.

Název v anglickém jazyce

Construction of a mathematical model of the heart muscle

Popis výsledku anglicky

According to statistics, the problem of cardiovascular disease ranks first among diseases [1-3]. The purpose of this work is to build a mathematical model of the heart muscle, which will more accurately reflect the behavior of the heart, for example in pathological contractions, in which the reduction of arbitrary areas of arbitrary fibers or external mechanical impact. The main idea of the model of the ventricle and the outer shell of the heart is the division of the surface into longitudinal flexible fibers connected by elastic ligaments. The model is presented in the form of an elastic system, which is described in terms of a system of differential equations [4-8]. They simulate the contraction forces of the heart muscle. A static mathematical model was also used, which representing the left ventricle and the outer surface of the heart as a paraboloid of rotation and an elliptical paraboloid, respectively, taking into account the spiral course of muscle fibers. Euler's method was used to numerically solve the system of differential equations. Based on the above models, software was created that reflects the dynamic behavior of the heart muscle. In the course of the work it was possible to select such parameters at which the dynamics of the model became close to the dynamics of the real heart muscle and other models of heart work.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

8th International Scientific Conference "Information Technology and Implementation

ISBN

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ISSN

1613-0073

e-ISSN

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Počet stran výsledku

9

Strana od-do

272-280

Název nakladatele

Neuveden

Místo vydání

neuveden

Místo konání akce

Kyiv

Datum konání akce

1. 12. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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