| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 5, 2018
Mathematical Modelling of Physiological Flows
|
|
|---|---|---|
| Article Number | 46 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/mmnp/2018054 | |
| Published online | 12 November 2018 | |
Influence of the vessel shape and the equation of state on the formation of a pulse wave in the 1D hemodynamics model★
1
Novosibirsk State University,
1, Pirogova str.,
Novosibirsk
630090, Russia.
2
Institute of Computational Tehnologies SB RAS,
6 Acad. M.A. Lavrentiev avenue,
Novosibirsk
630090, Russia.
3
Sobolev Institute of Mathematics SB RAS,
4 Acad. Koptyug avenue,
Novosibirsk
630090, Russia.
* Corresponding author: biberdorf@ngs.ru
Received:
6
September
2018
Accepted:
7
September
2018
This paper is devoted to the problem of adequate mathematical modeling of the pulse wave using a 1D hemodynamics model. This is possible provided that the conditions of wave propagation and reflections are correctly established and translated into the model. We analyze how the propagation of the forward and backward waves in the model is affected by the boundary conditions, the choice of the filtration coefficient at the ends of terminal arteries, and the modeled vessel geometry. We also propose an equation of state based on experimental data acquired in vivo.
Mathematics Subject Classification: 76Z10 / 92-08
Key words: 1d hemodynamics model / pulse wave / mathematical modelling.
© 2018, EDP Sciences
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