Influence of the vessel shape and the equation of state on the formation of a pulse wave in the 1D hemodynamics model

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 for...

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Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2018-01, Vol.13 (5), p.46
Main Authors: Davydova, Svetamira G., Kiselev, Ilya N., Biberdorf, Elina A.
Format: Article
Language:English
Subjects:
1d hemodynamics model
76Z10
92-08
Arteries
Backward waves
Boundary conditions
Data acquisition
Equations of state
Hemodynamics
mathematical modelling
Mathematical models
pulse wave
Wave propagation
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Summary: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.
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/2018054