Publication detail

Construction of a mathematical model of the heart muscle

NOVOTNÁ, V. PŮŽA, B. OLEKSII, B. KHUSAINOV, D. SHATYRKO, A.

Original Title

Construction of a mathematical model of the heart muscle

Type

conference paper

Language

English

Original Abstract

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.

Keywords

Differential equation system; Heart muscle; Mathematical model; Medicine; Software

Authors

NOVOTNÁ, V.; PŮŽA, B.; OLEKSII, B.; KHUSAINOV, D.; SHATYRKO, A.

Released

1. 2. 2022

ISBN

1613-0073

Periodical

CEUR Workshop Proceedings

State

Federal Republic of Germany

Pages from

272

Pages to

280

Pages count

9

BibTex

@inproceedings{BUT179884,
  author="Veronika {Novotná} and Bedřich {Půža} and Bychkov {Oleksii} and Denys Ya. {Khusainov} and Andrej {Shatyrko}",
  title="Construction of a mathematical model of the heart muscle",
  booktitle="8th International Scientific Conference {"}Information Technology and Implementation",
  year="2022",
  journal="CEUR Workshop Proceedings",
  pages="272--280",
  issn="1613-0073"
}