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Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation.
Ann Biomed Eng 2006; 34(4):575-92AB

Abstract

The focus of this work is on modeling blood flow in medium-to-large systemic arteries assuming cylindrical geometry, axially symmetric flow, and viscoelasticity of arterial walls. The aim was to develop a reduced model that would capture certain physical phenomena that have been neglected in the derivation of the standard axially symmetric one-dimensional models, while at the same time keeping the numerical simulations fast and simple, utilizing one-dimensional algorithms. The viscous Navier-Stokes equations were used to describe the flow and the linearly viscoelastic membrane equations to model the mechanical properties of arterial walls. Using asymptotic and homogenization theory, a novel closed, "one-and-a-half dimensional" model was obtained. In contrast with the standard one-dimensional model, the new model captures: (1) the viscous dissipation of the fluid, (2) the viscoelastic nature of the blood flow - vessel wall interaction, (3) the hysteresis loop in the viscoelastic arterial walls dynamics, and (4) two-dimensional flow effects to the leading-order accuracy. A numerical solver based on the 1D-Finite Element Method was developed and the numerical simulations were compared with the ultrasound imaging and Doppler flow loop measurements. Less than 3% of difference in the velocity and less than 1% of difference in the maximum diameter was detected, showing excellent agreement between the model and the experiment.

Authors+Show Affiliations

Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA. canic@math.uh.eduNo affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article
Research Support, N.I.H., Extramural
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

Language

eng

PubMed ID

16550449

Citation

Canić, Suncica, et al. "Blood Flow in Compliant Arteries: an Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation." Annals of Biomedical Engineering, vol. 34, no. 4, 2006, pp. 575-92.
Canić S, Hartley CJ, Rosenstrauch D, et al. Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation. Ann Biomed Eng. 2006;34(4):575-92.
Canić, S., Hartley, C. J., Rosenstrauch, D., Tambaca, J., Guidoboni, G., & Mikelić, A. (2006). Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation. Annals of Biomedical Engineering, 34(4), pp. 575-92.
Canić S, et al. Blood Flow in Compliant Arteries: an Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation. Ann Biomed Eng. 2006;34(4):575-92. PubMed PMID: 16550449.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Blood flow in compliant arteries: an effective viscoelastic reduced model, numerics, and experimental validation. AU - Canić,Suncica, AU - Hartley,Craig J, AU - Rosenstrauch,Doreen, AU - Tambaca,Josip, AU - Guidoboni,Giovanna, AU - Mikelić,Andro, Y1 - 2006/03/21/ PY - 2005/08/31/received PY - 2005/12/22/accepted PY - 2006/3/22/pubmed PY - 2006/7/19/medline PY - 2006/3/22/entrez SP - 575 EP - 92 JF - Annals of biomedical engineering JO - Ann Biomed Eng VL - 34 IS - 4 N2 - The focus of this work is on modeling blood flow in medium-to-large systemic arteries assuming cylindrical geometry, axially symmetric flow, and viscoelasticity of arterial walls. The aim was to develop a reduced model that would capture certain physical phenomena that have been neglected in the derivation of the standard axially symmetric one-dimensional models, while at the same time keeping the numerical simulations fast and simple, utilizing one-dimensional algorithms. The viscous Navier-Stokes equations were used to describe the flow and the linearly viscoelastic membrane equations to model the mechanical properties of arterial walls. Using asymptotic and homogenization theory, a novel closed, "one-and-a-half dimensional" model was obtained. In contrast with the standard one-dimensional model, the new model captures: (1) the viscous dissipation of the fluid, (2) the viscoelastic nature of the blood flow - vessel wall interaction, (3) the hysteresis loop in the viscoelastic arterial walls dynamics, and (4) two-dimensional flow effects to the leading-order accuracy. A numerical solver based on the 1D-Finite Element Method was developed and the numerical simulations were compared with the ultrasound imaging and Doppler flow loop measurements. Less than 3% of difference in the velocity and less than 1% of difference in the maximum diameter was detected, showing excellent agreement between the model and the experiment. SN - 0090-6964 UR - https://www.unboundmedicine.com/medline/citation/16550449/Blood_flow_in_compliant_arteries:_an_effective_viscoelastic_reduced_model_numerics_and_experimental_validation_ L2 - https://doi.org/10.1007/s10439-005-9074-4 DB - PRIME DP - Unbound Medicine ER -