Email this article Effective one-dimensional images of arterial trees in the cardiovascular system
- Authors: Kozlov V.A.1, Nazarov S.A.2,3,4
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Affiliations:
- Linköping University
- St. Petersburg State University
- St. Petersburg State Technical University
- Institute for Problems in Mechanical Engineering
- Issue: Vol 62, No 3 (2017)
- Pages: 158-163
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/192252
- DOI: https://doi.org/10.1134/S1028335817030120
- ID: 192252
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Abstract
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.
About the authors
V. A. Kozlov
Linköping University
Email: srgnazarov@yahoo.co.uk
Sweden, Linköping
S. A. Nazarov
St. Petersburg State University; St. Petersburg State Technical University; Institute for Problems in Mechanical Engineering
Author for correspondence.
Email: srgnazarov@yahoo.co.uk
Russian Federation, St. Petersburg, 199164; St. Petersburg, 195251; St. Petersburg, 199178
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