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Am J Physiol Heart Circ Physiol (May 8, 2009). doi:10.1152/ajpheart.00037.2009
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00037.2009v1
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Submitted on January 12, 2009
Revised on April 9, 2009
Accepted on May 4, 2009

VALIDATION OF A ONE-DIMENSIONAL MODEL OF THE SYSTEMIC ARTERIAL TREE

Philippe Reymond1*, Fabrice Merenda1, Fabienne Perren2, Daniel Rüfenacht2, and Nikos Stergiopulos1

1 EPFL
2 HUG

* To whom correspondence should be addressed. E-mail: philippe.reymond{at}epfl.ch.

A distributed model of the human arterial tree including all main systemic arteries coupled to a heart model is developed. The one-dimensional 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 1D 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 1D 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 to measured flow and pressure waves at the same anatomical points, reflecting the agreement in the general characteristics of the "generic 1D model" and the "average subject" of our volunteer population. The study constitutes a first validation of the complete 1D model using human pressure and flow data and supports the applicability of the 1D model in the human circulation.







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