A multiscale approach for modelling wave propagation in an arterial segment

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 7, Issue 2, 2004, Pages 79-89

  Pontrelli, Giuseppe ^a  

^a CNR   (Italy)

Author keywords

Blood flow; Multiscale models; Numerical methods; Stent; Wall fluid interaction; Wave propagation

Indexed keywords

1-D MODELS; ARTERIAL VESSELS; AXIAL DEFORMATIONS; AXIAL DIRECTION; BLOOD FLOW; DIFFERENTIAL MODELS; ELASTICITY PARAMETERS; LOCAL STIFFENING; LONG WAVELENGTH; LUMPED PARAMETER MODELS; MULTI-SCALE APPROACHES; MULTISCALE MODELS; PRESSURE PEAKS; PRESSURE WAVES; PROSTHETIC IMPLANTATION; QUASI-ONE-DIMENSIONAL; SMALL AMPLITUDE; STAGGERED GRID; STENT; WALL DEFORMATION; WALL-FLUID INTERACTION; WAVE DISTURBANCES; WAVE VELOCITY;

BOUNDARY CONDITIONS; ELASTICITY; HEMODYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS; WAVE PROPAGATION;

DEFORMATION;

ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD VESSEL PROSTHESIS; COMPUTER SIMULATION; ELASTICITY; HUMAN; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; PULSATILE FLOW; STENT; THORACIC AORTA;

ANIMALS; AORTA, THORACIC; ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD VESSEL PROSTHESIS; COMPUTER SIMULATION; ELASTICITY; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PULSATILE FLOW; STENTS;

EID: 13244288254     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/1025584042000205868     Document Type: Article

References (16)

1. Fung, Y.C. (1997) Biomechanics: Circulation, 2nd Edn. (Springer-Verlag, New York).
2. Avanzolini, G., Barbini, P., Cappello, A. and Cevenini, G. (1988) "CADCS simulation of the closed-loop cardiovascular system", Int. J. Biomed. Comput., 22, 39-49.
3. Migliavacca, F., Pennati, G., Dubini, G., et al. (2001) "Modeling of the Norwood circulation: effects of shunt size, vascular resistance, and heart rate", Am. J. Physiol. Heart Circ. Physiol., 280, H2076-H2086.
4. Païdoussis, M.P. (1998) Fluid-structure interactions-Slender structures and axial flow (Academic Press) Vol. I.
5. Iemma, U. and Pontrelli, G. (2004) "An integral formulation for fluid-structure interaction in hemodynamics", In: Collins, M.W., Pontrelli, G. and Atherton, M.A., eds, Wall-fluid interactions in physiological flows (WIT Press), in press.
6. Pedrizzetti, G. (1998) "Fluid flow in a tube with an elastic membrane insertion", J. Fluid Mech., 375, 39-64.
7. Humphrey, J.D. (1995) "Mechanics of the arterial wall: review and directions", Crit. Rev. Biomed. Eng., 23(1/2), 1-162.
8. Zhou, J. and Fung, Y.C. (1997) "The degree of non-linearity and anisotropy of blood vessel elasticity", Proc. Natl Acad. Sci. USA, 94, 14255-14260.
9. Formaggia, L., Nobile, F., Quarteroni, A. and Veneziani, A. (1999) "Multiscale modelling of the circulatory system: a preliminary analysis", Comput. Visual Sci., 2, 75-83.
10. Porenta, G., Young, D.F. and Rogge, T.R. (1986) "A finite-element model of blood flow in arteries including taper, branches, and obstructions", J. Biomech. Eng., 108, 161-167.
11. Pontrelli, G. and Rossoni, E. (2003) "Numerical modelling of the pressure wave propagation in the arterial flow", Int. J. Numer. Meth. Fluids 43, 651-671.
12. Westerhof, N., Bosman, F., Vries, C.D. and Noordergraaf, A. (1969) Analog studies of the human systemic arterial tree, J. Biomech., Vol. 2, 121-143.
13. Formaggia, L., Nobile, F. and Quarteroni, A. (2001) A one dimensional model for blood flow: application to vascular prosthesis, MSCOM200, Lect. Notes Comp. Sci. Eng., (Springer-Verlag, Berlin).
14. Fletcher, C.A. (1991) Computational techniques for fluid dynamics, Springer Ser. Comp. Phys., Vol. 2.
15. Khir, A.W. and Parker, K.H. (2002) "Measurements of wave speed and reflected waves in elastic tubes and bifurcations", J. Biomech., 35, 775-783.
16. Auricchio, F., Di Loreto, M. and Sacco, E. (2001) "Finiteelement analysis of a stenotic artery revascularization through a stent insertion", Comp. Meth. Biomech. Biochem. Eng., 4, 249-263.