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Effective one-dimensional images of arterial trees in the cardiovascular system
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St Petersburg State University, Russia; St Petersburg State Technical University, Russia; Russian Academic Science, Russia.
2017 (English)In: Doklady physics (Print), ISSN 1028-3358, E-ISSN 1562-6903, Vol. 62, no 3, 158-163 p.Article in journal (Refereed) Published
Abstract [en]

An exponential smallness of the errors in the one-dimensional model of the Stokes flow in a branching thin vessel with rigid walls is achieved by introducing effective lengths of the one-dimensional image of internodal fragments of vessels. Such lengths are eluated through the pressure-drop matrix at each node describing the boundary-layer phenomenon. The medical interpretation and the accessible generalizations of the result, in particular, for the Navier-Stokes equations are presented.

Place, publisher, year, edition, pages
MAIK NAUKA/INTERPERIODICA/SPRINGER , 2017. Vol. 62, no 3, 158-163 p.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:liu:diva-137407DOI: 10.1134/S1028335817030120ISI: 000400022800013OAI: oai:DiVA.org:liu-137407DiVA: diva2:1096662
Note

Funding Agencies|St. Petersburg State University [0.38.237.2014]; Linkoping University (Sweden)

Available from: 2017-05-18 Created: 2017-05-18 Last updated: 2017-05-18

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Kozlov, Vladimir
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