TY - JOUR

T1 - Influence of the vessel shape and the equation of state on the formation of a pulse wave in the 1D hemodynamics model ★

AU - Davydova, Svetamira G.

AU - Kiselev, Ilya N.

AU - Biberdorf, Elina A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - 1d hemodynamics model

KW - Mathematical modelling.

KW - Pulse wave

KW - ld hemodynamics model

KW - mathematical modelling

KW - pulse wave

KW - ONE-DIMENSIONAL MODEL

KW - VALIDATION

KW - BLOOD-FLOW

UR - http://www.scopus.com/inward/record.url?scp=85056779289&partnerID=8YFLogxK

U2 - 10.1051/mmnp/2018054

DO - 10.1051/mmnp/2018054

M3 - Article

AN - SCOPUS:85056779289

VL - 13

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

SN - 0973-5348

IS - 5

M1 - 46

ER -