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Zhurnal Tekhnicheskoi Fiziki, 2020, Volume 90, Issue 9, Pages 1506–1509
DOI: https://doi.org/10.21883/JTF.2020.09.49683.24-20 (Mi jtf5207) 		 
III International Conference Physics -- Life Sciences
Technique of medical monitoring and visualization

Malformations as a violation of the fractal structure of the circulatory system of an organism

V. Antonov, P. Efremov

Peter the Great St. Petersburg Polytechnic University
Full-text PDF (1874 kB)
DOI: https://doi.org/10.21883/JTF.2020.09.49683.24-20
Abstract: Mathematical models are described in which the circulatory system of an organism is considered as a multifractal object. The solution to two problems is given. The first one is associated with the normal state of the body’s life support system, namely, to heat transfer in human skin. The equations of hydrodynamics and heat transfer are the basis of the model. Quantitative results of calculating heat fluxes in three layers of the dermis are presented. The second problem is a violation of fractality due to the presence of arteriovenous malformation in the vascular system of the brain. Blood flow modeling in the presence of malformation was performed using the SolidWorks 2017 Flow Simulation software product. Data on blood velocity and blood flow in vessels for various cases of malformation are presented.
Keywords: circulatory system, fractals, malformations, modeling.
Received: 21.01.2020
Revised: 21.01.2020
Accepted: 17.02.2020
English version:
Technical Physics, 2020, Volume 65, Issue 9, Pages 1446–1449
DOI: https://doi.org/10.1134/S1063784220090042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Antonov, P. Efremov, “Malformations as a violation of the fractal structure of the circulatory system of an organism”, Zhurnal Tekhnicheskoi Fiziki, 90:9 (2020), 1506–1509; Tech. Phys., 65:9 (2020), 1446–1449
Citation in format AMSBIB
\Bibitem{AntEfr20}
\by V.~Antonov, P.~Efremov
\paper Malformations as a violation of the fractal structure of the circulatory system of an organism
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2020
\vol 90
\issue 9
\pages 1506--1509
\mathnet{http://mi.mathnet.ru/jtf5207}
\crossref{https://doi.org/10.21883/JTF.2020.09.49683.24-20}
\elib{https://elibrary.ru/item.asp?id=44154270}
\transl
\jour Tech. Phys.
\yr 2020
\vol 65
\issue 9
\pages 1446--1449
\crossref{https://doi.org/10.1134/S1063784220090042}
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