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research article

Validation of a one-dimensional model of the systemic arterial tree

Reymond, Philippe  
•
Merenda, Fabrice
•
Perren, Fabienne
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2009
American journal of physiology. Heart and circulatory physiology

A distributed model of the human arterial tree including all main systemic arteries coupled to a heart model is developed. The one-dimensional (1-D) form of the momentum and continuity equations is solved numerically to obtain pressures and flows throughout the systemic arterial tree. Intimal shear is modeled using the Witzig-Womersley theory. A nonlinear viscoelastic constitutive law for the arterial wall is considered. The left ventricle is modeled using the varying elastance model. Distal vessels are terminated with three-element windkessels. Coronaries are modeled assuming a systolic flow impediment proportional to ventricular varying elastance. Arterial dimensions were taken from previous 1-D models and were extended to include a detailed description of cerebral vasculature. Elastic properties were taken from the literature. To validate model predictions, noninvasive measurements of pressure and flow were performed in young volunteers. Flow in large arteries was measured with MRI, cerebral flow with ultrasound Doppler, and pressure with tonometry. The resulting 1-D model is the most complete, because it encompasses all major segments of the arterial tree, accounts for ventricular-vascular interaction, and includes an improved description of shear stress and wall viscoelasticity. Model predictions at different arterial locations compared well with measured flow and pressure waves at the same anatomical points, reflecting the agreement in the general characteristics of the "generic 1-D model" and the "average subject" of our volunteer population. The study constitutes a first validation of the complete 1-D model using human pressure and flow data and supports the applicability of the 1-D model in the human circulation.

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Type
research article
DOI
10.1152/ajpheart.00037.2009
Web of Science ID

WOS:000267492900027

PubMed ID

19429832

Author(s)
Reymond, Philippe  
Merenda, Fabrice
Perren, Fabienne
Rüfenacht, Daniel
Stergiopulos, Nikos  
Date Issued

2009

Published in
American journal of physiology. Heart and circulatory physiology
Volume

297

Issue

1

Start page

H208

End page

22

Subjects

wave propagation

•

heart model

•

cerebral circulation

•

ventricular-vascular coupling

•

nonlinear viscoelasticity

•

ultrasound

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noninvasive vascular imaging

•

Cerebral-Blood-Flow

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Time-Varying Elastance

•

Pulse Pressure Method

•

Mathematical-Model

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Computer-Simulation

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Theoretical-Analysis

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Coronary-Arteries

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Wave Reflections

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Input Impedance

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Human Aorta

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LHTC  
Available on Infoscience
December 16, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/62227
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