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Malformations as a Violation of the Fractal Structure of the Circulatory System of an Organism

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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.

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ACKNOWLEDGMENTS

The authors thank Head of the Laboratory of Cerebral Pathology of the Polenov Neurosurgical Institute V.B. Semenyutin for the information provided.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, 195251, St. Petersburg, Russia

    V. Antonov & P. Efremov

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  1. V. Antonov
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  2. P. Efremov
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Contributions

V.I. Antonov came up with the concept of research and analyzed the heat transfer in the skin. P. Efremov developed the model of malformation.

Corresponding author

Correspondence to V. Antonov.

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The authors declare that they have no conflicts of interest.

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Translated by I. Shipounova

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Antonov, V., Efremov, P. Malformations as a Violation of the Fractal Structure of the Circulatory System of an Organism. Tech. Phys. 65, 1446–1449 (2020). https://doi.org/10.1134/S1063784220090042

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  • DOI: https://doi.org/10.1134/S1063784220090042

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