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Asymptotic Models of the Blood Flow in Arteries and Veins
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St. Petersburg State University, St. Petersburg, Russia .
2013 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 194, no 1, 44-57 p.Article in journal (Refereed) Published
Abstract [en]

Asymptotic analysis is applied for obtaining one-dimensional models of the blood flow in narrow, thin-walled, elastic vessels. The models for arteries and veins essentially distinguish from each other, and the reason for this is the structure of their walls, as well as the operationing conditions. Although the obtained asymptotic models are simple, they explain various effects known in medical practice, in particular, describe the mechanism of vein-muscle pumping of blood.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 194, no 1, 44-57 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-127725DOI: 10.1007/s10958-013-1505-4OAI: oai:DiVA.org:liu-127725DiVA: diva2:927239
Available from: 2016-05-11 Created: 2016-05-11 Last updated: 2016-05-19Bibliographically approved

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Kozlov, Vladimir A.Nazarov, Sergei A.
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Mathematics and Applied MathematicsFaculty of Science & Engineering
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