A one-dimensional model for blood flow in prestressed vessels

European Journal of Mechanics, A/Solids

Volumn 24, Issue 1, 2005, Pages 23-33

  Nardinocchi, Paola ^a   Pontrelli, Giuseppe ^b   Teresi, Luciano ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b CNR   (Italy)

^c ROMA TRE UNIVERSITY   (Italy)

Author keywords

Arterial flow; Blood wall interaction; Prestressed vessels

Indexed keywords

BLOOD; BOUNDARY CONDITIONS; CARDIOVASCULAR SYSTEM; INCOMPRESSIBLE FLOW; PARTIAL DIFFERENTIAL EQUATIONS; PATHOLOGY; PHYSIOLOGICAL MODELS; STRESSES; VISCOUS FLOW;

ARTERIAL FLOW; BLOOD-WALL INTERACTION; PRESTRESSED VESSELS; SYSTEMIC CIRCULATION;

BLOOD VESSELS;

EID: 13244275310     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2004.10.002     Document Type: Article

References (17)

1. H.B. Atabek, and H.S. Lew Wave propagation through a viscous incompressible fluid contained in an initially stressed elastic tube Biophysical J. 6 1966 481 503
2. G. Avanzolini, P. Barbini, A. Cappello, and G. Cevenini CADCS simulation of the closed-loop cardiovascular system Int. J. Biomed. Comput. 22 1988 39 49
3. A. Di Carlo, P. Nardinocchi, and L. Teresi How to model blood flow in distensible vessels Proceedings of the Third International Conference on Engineering Aero-HydroElasticity, Prague 1999 141-145
4. L. Formaggia, F. Nobile, A. Quarteroni, and A. Veneziani Multiscale modelling of the circulatory system: a preliminary analysis Comput. Visual Sci. 2 1999 75 83
5. Y.C. Fung Biomechanics. Mechanical Properties of Living Tissues 1993 Springer
6. G.A. Holzapfel, T.C. Gasser, and R.W. Ogden A new constitutive framework for arterial wall mechanics and a comparative study of material models J. Elasticity 61 2000 1 48
7. G.A. Holzapfel R.W. Ogden Biomechanics of Soft Tissue in Cardiovascular Systems CISM Courses and Lectures vol. 441 2003 Springer
8. A.W. Khir, and K.H. Parker Measurements of wave speed and reflected waves in elastic tubes and bifurcations J. Biomech. 35 2002 775 783
9. G.D.C. Kuiken Wave propagation in a thin-walled liquid-filled, initially stressed tube J. Fluid Mech. 141 1984 289 308
10. P. Nardinocchi, and L. Teresi The influence of initial stresses on blood vessel mechanics J. Mech. Mech. Biol. 3 2 2003 215 229
11. J.T. Ottesen, M.S. Olufsen, and J.K. Larsen Applied Mathematical Models in Human Physiology SIAM Monograph on Math. Model & Comput 2004
12. G. Pontrelli Blood flow through a circular pipe with an impulsive pressure gradient Math. Models Methods Appl. Sci. 10 2000 187 202
13. G. Pontrelli A multiscale approach for modelling wave propagation in an arterial segment Comput. Methods Biomech. Biomed. Engrg. 7 2004 79 89
14. A. Quarteroni Fluid-structure interaction for blood flow problems Lecture Notes, AMS-AMIF Summer School, Prague, Czech Republic 2001
15. A. Quarteroni, and L. Formaggia Mathematical modelling and numerical simulation of the cardiovascular system N. Ayache Modelling of Living Systems P.G. Ciarlet J.L. Lions Handbook od Numerical Analysis Series 2003
16. S.J. Sherwin, L. Formaggia, J. Peiro, and V. Franke Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system Int. J. Numer. Meth. Fluids 43 6/7 2003 673 700
17. J. Zhou, and Y.C. Fung The degree of nonlinearity and anisotropy of blood vessel elasticity Proc. Natl. Acad. Sci. USA 94 1997 14255 14260