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

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 li...

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Bibliographic Details
Published in:Differential equations and dynamical systems 2023-07, Vol.31 (3), p.673-685
Main Authors: Rao, V. Sree Hari, Radhika, T. S. L.
Format: Article
Language:English
Subjects:
Arteries
Blood circulation
Blood flow
Blood vessels
Circulatory system
Computer Science
Engineering
Flow characteristics
Material properties
Mathematics
Mathematics and Statistics
Original Research
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Summary: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.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00617-8