Mathematical model of a blood vessel in case of loss of integrity of its wall

Authors

  • Сергей Игоревич Владов Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614, Ukraine https://orcid.org/0000-0001-8009-5254
  • Олег Григорьевич Аврунин Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166, Ukraine
  • Владислав Александрович Мосьпан Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614, Ukraine
  • Алексей Алексеевич Юрко Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2014.24322

Keywords:

blood vessel, loss of integrity, pulse wave, blood pressure, long line, four pole

Abstract

A mathematical model of a blood vessel in case of the wall integrity loss was developed in the paper. It was based on the electrical analogy of blood circulation through vessels and current flow within a circuit unit. In general, the basis of the developed model is the model of a human blood circulatory system in the form of an inhomogeneous long line matched with distributed constants. The constructed mathematical model allows solving urgent problems of investigating the process of blood circulation through vessels in case of the wall integrity loss and determining the location, the conditional diameter of the wall hole and the influence of the loss of the vessel wall integrity on the pulse wave shape and blood pressure. The process of blood circulation in the femoral artery under normal blood circulation and taking into account the occurred loss of the vessel wall integrity was studied in the paper.

Author Biographies

Сергей Игоревич Владов, Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614

Aspirant

Electronic devices department

Олег Григорьевич Аврунин, Kharkiv National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166

DSc, Assistant Professor

Department of Biomedical Engineering

Владислав Александрович Мосьпан, Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614

CandSc, Assistant Professor, Head of Electronic devices department

Electronic devices department

Алексей Алексеевич Юрко, Kremenchuk Mykhailo Ostrohradskyi National University Pervomayskaya St., 20, Kremenchug, Ukraine, 39614

CandSc, Assistant Professor

Electronic devices department

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Published

2014-06-20

How to Cite

Владов, С. И., Аврунин, О. Г., Мосьпан, В. А., & Юрко, А. А. (2014). Mathematical model of a blood vessel in case of loss of integrity of its wall. Eastern-European Journal of Enterprise Technologies, 3(4(69), 42–48. https://doi.org/10.15587/1729-4061.2014.24322

Issue

Vol. 3 No. 4(69) (2014): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Сергей Игоревич Владов, Олег Григорьевич Аврунин, Владислав Александрович Мосьпан, Алексей Алексеевич Юрко

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