Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions

Blood flow in the large systemic arteries is modeled using one-dimensional equations derived from the axisymmetric Navier-Stokes equations for flow in compliant and tapering vessels. The arterial tree is truncated after the first few generations of large arteries with the remaining small arteries an...

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Published inAnnals of biomedical engineering Vol. 28; no. 11; pp. 1281 - 1299
Main Authors Olufsen, M S, Peskin, C S, Kim, W Y, Pedersen, E M, Nadim, A, Larsen, J
Format Journal Article
LanguageEnglish
Published United States Springer Nature B.V 01.11.2000
Subjects
Adult
Algorithms
Aorta - physiology
Arteries - physiology
Biomedical Engineering
Blood Pressure - physiology
Blood vessels
Boundary conditions
Computer simulation
Frequency domain analysis
Hemodynamics - physiology
Hemorheology
Humans
Linearization
Magnetic Resonance Angiography
Male
Mathematical models
Models, Cardiovascular
Navier Stokes equations
Regional Blood Flow - physiology
Studies
Time domain analysis
Veins & arteries
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Summary:Blood flow in the large systemic arteries is modeled using one-dimensional equations derived from the axisymmetric Navier-Stokes equations for flow in compliant and tapering vessels. The arterial tree is truncated after the first few generations of large arteries with the remaining small arteries and arterioles providing outflow boundary conditions for the large arteries. By modeling the small arteries and arterioles as a structured tree, a semi-analytical approach based on a linearized version of the governing equations can be used to derive an expression for the root impedance of the structured tree in the frequency domain. In the time domain, this provides the proper outflow boundary condition. The structured tree is a binary asymmetric tree in which the radii of the daughter vessels are scaled linearly with the radius of the parent vessel. Blood flow and pressure in the large vessels are computed as functions of time and axial distance within each of the arteries. Comparison between the simulations and magnetic resonance measurements in the ascending aorta and nine peripheral locations in one individual shows excellent agreement between the two.
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ISSN:0090-6964
1573-9686
DOI:10.1114/1.1326031