Construction of a mathematical model of the heart muscle
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F22%3APU146150" target="_blank" >RIV/00216305:26510/22:PU146150 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Construction of a mathematical model of the heart muscle
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
8th International Scientific Conference "Information Technology and Implementation
ISBN
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ISSN
1613-0073
e-ISSN
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Number of pages
9
Pages from-to
272-280
Publisher name
Neuveden
Place of publication
neuveden
Event location
Kyiv
Event date
Dec 1, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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