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Matematicheskaya Biologiya i Bioinformatika, 2013, Volume 8, Issue 1, Pages 1–11 (Mi mbb131)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Modeling of Pulsating Flow in Blood Capillaries

T. A. Khmel, A. V. Fedorov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (706 kB) Citations (1)
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Abstract: A physical-mathematical model of unsteady flow in capillaries with the wall motion and flow into the interstitial space is proposed. In the frame of the semi-empirical model based on the data of intra-capillary pressure changes in time and space, the theoretical analysis of internal capillary blood flow is performed. The solutions obtained are consistent with experimental data on the measurement of the velocity fluctuations in the blood capillaries. The presence of a phase shift in the oscillations of the pressure and the radius is revealed that indicates the possible involvement of wall motion in the implementation of the filtration mechanism of transcapillary exchange.
Key words: blood capillaries, unsteady flow, mathematical modeling.
Received 27.09.2012, Published 21.01.2013
Document Type: Article
UDC: 532.546+612.135
Language: Russian
Citation: T. A. Khmel, A. V. Fedorov, “Modeling of Pulsating Flow in Blood Capillaries”, Mat. Biolog. Bioinform., 8:1 (2013), 1–11
Citation in format AMSBIB
\Bibitem{KhmFed13}
\by T.~A.~Khmel, A.~V.~Fedorov
\paper Modeling of Pulsating Flow in Blood Capillaries
\jour Mat. Biolog. Bioinform.
\yr 2013
\vol 8
\issue 1
\pages 1--11
\mathnet{http://mi.mathnet.ru/mbb131}
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  • https://www.mathnet.ru/eng/mbb/v8/i1/p1
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:266
    Full-text PDF :119
    References:54
    First page:1
     
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