Finite element (one-dimensional) hæmodynamic model of the human arterial system

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Urquiza, Santiago A ^a   Venere, Marcelo J ^b   Clara, Fernando M ^a   Feijóo, Raúl A ^c  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b Campus Universitario   (Argentina)

^c LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

Author keywords

Computational model; Hemodynamic; Pulse wave; Simulation

Indexed keywords

COMPUTATIONAL MODEL; CONTINUITY EQUATIONS; LEAST SQUARES FINITE ELEMENT METHODS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; OUTLET BOUNDARY CONDITION; PULSE WAVE; RHEOLOGICAL PROPERTY; SIMULATION;

BLOOD PRESSURE; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; HEMODYNAMICS; TREES (MATHEMATICS);

FINITE ELEMENT METHOD;

EID: 84893349727     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (34)

1. O'Rourke, M.F. Arterial Function in Health and Disease., Churchill Livingstone, New York., (1982).
2. O'Rourke, M.F, "Mechanical Priniples in Arterial Disease", J. Hypertension, 26, No1, 2- 9, (1995).
3. Porenta G., Young D.F., Rogge T.R., "A finite element model of flow in arteries including taper, branches, and obstructions", J. Biomech. Engng., 108, 161-167, (1986).
4. Balar S., Rogge T.R, Young D.F., "Computer simulation of blood flow in the human arm", J. Biomech, 22, 691-697, (1989).
5. Sud V.K., Srinivasan R.S., Charles J.B., Bungo M.W, "Mathematical modelling of flow distribution in the human cardiovascular system", Med & Biol. Eng. & Comput., 30, 311-316, (1992).
6. Snyder M.F., Rideout V.C., Hillestad R.J., "Computer Modeling of the Human Systemic Arterial Tree", J. Biomechanics Engineering, 1, 341-353, (1968).
7. Avolio A.P., "Multi-branched model of the human arterial system", Med. Biol. Eng. Comp., 18, 709-718, (1980).
8. Karlsson M., "Modelling and simulation of the human arterial tree -a combined lumpedparameter and transmission line element approach", Ed: Power H y Hart RT., Computer simulations in biomedicine, Computational Mechanics Pub., Boston, 11-18, (1995).
9. Schaaf B.W., Abbrecht P.H., "Digital Computer Simulation of Human Systemic Arterial Pulse Wave Transmission: A Nonlinear Model", J. Biomechanics Engineering, 5, 345- 364, (1972).
10. Forbes LK. "A note on the solution of the one-dimensional unsteady equations of arterialblood flow by the method of characteristics", J. Austrl. Math. Soc.(serie B), 21, 45-52, (1979).
11. Campbell K., Zeglen M., Kagehiro T., Rigas H., "A pulsatile cardiovascular computer model for teaching heart-blood vessel interaction", The Phisiology Teacher, 25, 155- 162, (1982).
12. Anliker M., Rockwell R., Odgen E., "Nonlinear analysis of flow pulses and shock waves in arteries", ZAMP, 22, 217-246, (1971).
13. Westerhof N., Bosman F., De vries C.J., Noordergraaf A., "Analog studies of the human systemic arterial tree", J. biomechanics, 2, 121-143, (1969).
14. Stergiopulos N., Young D.F., Rogge T.R., "Computer simulation of arterial flow whit applications to arterial and aortic stenoses", J. of Biomechan., 25, 1477-1488, (1992).
15. Raines J.K., Jaffrin M.Y. and Shapiro A., "A Computer simulation of arterial dynamics in the human leg", J. of Biomechan., 7, 77-91, (1972).
16. Armentano R.L., Barra J., Levenson J., Simon A., Pichel R., "Arterial wall mechanics in concious dogs", Circ. Res., 76, No.3, (1995).
17. Dietrich-Bauer R. "Rheological approaches of arteries", Biorheology, Suppl 1, 159-167, (1984).
18. Middelman S. Transport phenomena in the cardiovascular system, John Wiley & Sons. New York, (1972).
19. Cox, R.H., "Passive mechanics and connetive tissue composition of canine arteries", Am. J. Physiol., Heart Circ. Physiol., 3, H533-H544, (1978).
20. Armentano R.L., Levenson J., Barra J., Cabrera E., Breitbart G., Pichel R., Simon A., "Assessment of elastin and collagen contribution to aortic elasticity in concious dogs" Am. J. Physiol., 260, H1870-H1877, (1991).
21. Urquiza S.A., Desimone H.J., Goñi M.E., Introzzi A., Clara F., "Prediction of human arterial pulse wave shape changes in aging and hypertension", Computer Simulations in Biomedicine, Computational Mechanics Publications. Boston, (1995).
22. Weizsacker H.W., Pinto J.G. "Isotropy and anisotropy of the arterial wall", Journal of Biomechanics, 21, No.6, 477-487, (1988).
23. Bergel, D.H., "The dynamics elastic properties of the arterial wall". J. Physiol., 156, 458-469, (1961).
24. Richtmyer R.D., Morton K.W., Difference methods for initial-value problems, New York. Intersciencie Publishers, (1967).
25. Courant R, Hilbert D. Methods of Mathematical Physics, Vol. II, Interscience Publisher, New York, (1962).
26. Donea J., Quartarpelle L., "An introduction to finite element methods for transient advection problems", Computer Methods in Applied Mechanics and Engineering 95, 169-203, (1992).
27. Young B.N. and Carey G.F., "A stable least-squares fem for non-linear hyperbolic problems", Int. J. Num. Meth. Fluids, 8, 933-942, (1988).
28. Spencer M.P., Deninson A.B. "The square-wave electro-magnetic flowmeter: Theory ofoperation and design of magnetic probes for clinical and experimental applications", I.R.E. Trans. med. Elect., 6, 220-228, (1959).
29. Kroeker E.J., Wood E.H. "Comparison of simultaneously recorded central and peripheral arterial pressure pulses during rest, exercise and tilted position in man", Circulation Res., 3, 623-632, (1955).
30. Introzzi A., Clara F., Valiente S.M., "Sistema de registro de ondas de dilatación arterial", VI Congreso argentino de Bioingeniería, Córdoba, Argentina, 9-11, (1988).
31. Casty M., "Differenzierung zwischen normalen und pathologischen stromungsverhaltnissen in arteriellen kreislauf mittels gepulstum ultraschall", ETH, Zurich, 1980.
32. Stettler J.C., Niederer P., Anliker M., "Theoretical Analysis of arterial hemodynamics including the influence of bifurcations", Annals of Biomedical Engineering, 1980.
33. Holenstein R., Niederer P.F., Anliker M., "A Viscoelastic Model for Use in Predicting Arterial Pulse Waves", J.Biomechanics Engineering, 102, 318-325, (1980).
34. O'Rourke M.F., Blazek J.V., Morreels C.L., Krovetz L.J., "Pressure wave transmission along the human aorta", Circulation Res., 23, 567-579, (1968).