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The Dynamics of the Flow of Blood in the Human Circulatory System

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Abstract

This paper introduces a realistic framework for the blood flow dynamics in the human circulatory system, wherein blood changes its characteristics while flowing through different arteries, from elastic to muscular to rigid. We believe that this approach is significantly different from most of the literature of the related work, wherein the blood flow characteristics remain the same throughout its flow in an artery. Another interesting idea in this work is the introduction of a nonlinear relationship between flux and the pressure gradient that has been found appropriate for the blood flow in coronary arteries. Further, this work suggests to the researchers that if one considers the varying material properties of the blood that flows through the different constituent pipes (blood vessels), one would be able to gain adequate understanding on the vital issues in treating the problems related to blood circulation, such as blood clots, stenotic growth and bypass grafting surgeries.

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Acknowledgements

The authors wish to thank the anonymous reviewers for their constructive remarks, which have facilitated this revision. The research of the first author (VSHR) is supported by the Foundation for Scientific Research and Technological Innovation (FSRTI)- A Constituent Division of Sri Vadrevu Seshagiri Rao Memorial Charitable Trust, Hyderabad-500102, India.

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Authors and Affiliations

  1. Foundation for Scientific Research and Technological Innovation Hyderabad, Hyderabad, 500102, India

    V. Sree Hari Rao

  2. Department of Mathematics, BITS Pilani, Hyderabad Campus, Hyderabad, 500078, India

    T. S. L. Radhika

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  1. V. Sree Hari Rao
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  2. T. S. L. Radhika
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Correspondence to T. S. L. Radhika.

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Rao, V.S.H., Radhika, T.S.L. The Dynamics of the Flow of Blood in the Human Circulatory System. Differ Equ Dyn Syst 31, 673–685 (2023). https://doi.org/10.1007/s12591-022-00617-8

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