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A multiscale approach for modelling wave propagation in an arterial segment.

Abstract

A mathematical model of blood flow through an arterial vessel is presented and the wave propagation in it is studied numerically. Based on the assumption of long wavelength and small amplitude of the pressure waves, a quasi-one-dimensional (1D) differential model is adopted. It describes the non-linear fluid-wall interaction and includes wall deformation in both radial and axial directions. The 1D model is coupled with a six compartment lumped parameter model, which accounts for the global circulatory features and provides boundary conditions. The differential equations are first linearized to investigate the nature of the propagation phenomena. The full non-linear equations are then approximated with a numerical finite difference method on a staggered grid. Some numerical simulations show the characteristics of the wave propagation. The dependence of the flow, of the wall deformation and of the wave velocity on the elasticity parameter has been highlighted. The importance of the axial deformation is evidenced by its variation in correspondence of the pressure peaks. The wave disturbances consequent to a local stiffening of the vessel and to a compliance jump due to prosthetic implantations are finally studied.

Authors+Show Affiliations

Istituto per le Applicazioni del Calcolo-CNR Viale del Policlinico, 137-00161 Roma, Italy. g.pontrelli@iac.cnr.it

Pub Type(s)

Journal Article

Language

eng

PubMed ID

15203956

Citation

Pontrelli, Giuseppe. "A Multiscale Approach for Modelling Wave Propagation in an Arterial Segment." Computer Methods in Biomechanics and Biomedical Engineering, vol. 7, no. 2, 2004, pp. 79-89.
Pontrelli G. A multiscale approach for modelling wave propagation in an arterial segment. Comput Methods Biomech Biomed Engin. 2004;7(2):79-89.
Pontrelli, G. (2004). A multiscale approach for modelling wave propagation in an arterial segment. Computer Methods in Biomechanics and Biomedical Engineering, 7(2), pp. 79-89.
Pontrelli G. A Multiscale Approach for Modelling Wave Propagation in an Arterial Segment. Comput Methods Biomech Biomed Engin. 2004;7(2):79-89. PubMed PMID: 15203956.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A multiscale approach for modelling wave propagation in an arterial segment. A1 - Pontrelli,Giuseppe, PY - 2004/6/19/pubmed PY - 2004/12/16/medline PY - 2004/6/19/entrez SP - 79 EP - 89 JF - Computer methods in biomechanics and biomedical engineering JO - Comput Methods Biomech Biomed Engin VL - 7 IS - 2 N2 - A mathematical model of blood flow through an arterial vessel is presented and the wave propagation in it is studied numerically. Based on the assumption of long wavelength and small amplitude of the pressure waves, a quasi-one-dimensional (1D) differential model is adopted. It describes the non-linear fluid-wall interaction and includes wall deformation in both radial and axial directions. The 1D model is coupled with a six compartment lumped parameter model, which accounts for the global circulatory features and provides boundary conditions. The differential equations are first linearized to investigate the nature of the propagation phenomena. The full non-linear equations are then approximated with a numerical finite difference method on a staggered grid. Some numerical simulations show the characteristics of the wave propagation. The dependence of the flow, of the wall deformation and of the wave velocity on the elasticity parameter has been highlighted. The importance of the axial deformation is evidenced by its variation in correspondence of the pressure peaks. The wave disturbances consequent to a local stiffening of the vessel and to a compliance jump due to prosthetic implantations are finally studied. SN - 1025-5842 UR - https://www.unboundmedicine.com/medline/citation/15203956/A_multiscale_approach_for_modelling_wave_propagation_in_an_arterial_segment_ L2 - http://www.tandfonline.com/doi/full/10.1080/1025584042000205868 DB - PRIME DP - Unbound Medicine ER -