Influence of the vessel shape and the equation of state on the formation of a pulse wave in the 1D hemodynamics model
| Autor: | Elina A. Biberdorf, Svetamira G. Davydova, Ilya N. Kiselev |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Equation of state Wave propagation Applied Mathematics Hemodynamics Mechanics 030204 cardiovascular system & hematology Vessel geometry Filtration coefficient 01 natural sciences 010101 applied mathematics 03 medical and health sciences 0302 clinical medicine Terminal (electronics) Modeling and Simulation Pulse wave Boundary value problem 0101 mathematics |
| Zdroj: | Mathematical Modelling of Natural Phenomena. 13:46 |
| ISSN: | 1760-6101 0973-5348 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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