Validation of a patient-specific one-dimensional model of the systemic arterial tree

American Journal of Physiology - Heart and Circulatory Physiology

Volumn 301, Issue 3, 2011, Pages

  Reymond, Philippe ^a   Bohraus, Yvette ^a   Perren, Fabienne ^b   Lazeyras, Francois ^c   Stergiopulos, Nikos ^a  

^a EPFL   (Switzerland)

^b University Hospital and Medical Faculty of Geneva   (Switzerland)

^c GENEVA UNIVERSITY HOSPITALS   (Switzerland)

Author keywords

Cerebral circulation; Doppler; Noninvasive measurements techniques; Phase contrast magnetic resonance imaging; Wave propagation

Indexed keywords

ABDOMINAL AORTA; AORTA ARCH; ARTERY; ARTERY COMPLIANCE; ARTICLE; ASCENDING AORTA; BASILAR ARTERY; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BLOOD VESSEL COMPLIANCE; BRACHIAL ARTERY; CELIAC ARTERY; COMMON CAROTID ARTERY; FEMORAL ARTERY; GEOMETRY; HEMODYNAMIC MONITORING; HEPATIC ARTERY; HUMAN; INFERIOR MESENTERIC ARTERY; MIDDLE CEREBRAL ARTERY; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; RADIAL ARTERY; RENAL ARTERY; SHEAR STRESS; SPLEEN ARTERY; SUBCLAVIAN ARTERY; SUPERIOR MESENTERIC ARTERY; THORACIC AORTA; TIBIAL ARTERY; TONOMETRY; ULNAR ARTERY; VASCULAR RESISTANCE; VERTEBRA; VISCOELASTICITY;

ADULT; ARTERIES; BIOMECHANICS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; ELASTICITY; HEMODYNAMICS; HUMANS; MAGNETIC RESONANCE ANGIOGRAPHY; MANOMETRY; MODELS, ANATOMIC; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; PREDICTIVE VALUE OF TESTS; REGIONAL BLOOD FLOW; REPRODUCIBILITY OF RESULTS; STRESS, MECHANICAL; TIME FACTORS; ULTRASONOGRAPHY, DOPPLER, COLOR; VASCULAR RESISTANCE;

EID: 80052304983     PISSN: 03636135     EISSN: 15221539     Source Type: Journal    
DOI: 10.1152/ajpheart.00821.2010     Document Type: Article

References (32)

1. Alastruey J, Parker KH, Peiro J, Byrd SM, Sherwin SJ. Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. J Biomech 40: 1794-1805, 2007.
2. Avolio AP. Multi-branched model of the human arterial system. Med Biol Eng Comput 18: 709-718, 1980.
3. Baguet JP, Kingwell BA, Dart AL, Shaw J, Ferrier KE, Jennings GL. Analysis of the regional pulse wave velocity by Doppler: methodology and reproducibility. J Hum Hypertens 17: 407-412, 2003.
4. Bergel DH. The dynamic elastic properties of the arterial wall. J Physiol 156: 458-469, 1961.
5. Cassot F, Zagzoule M, Marc-Vergnes JP. Hemodynamic role of the circle of Willis in stenoses of internal carotid arteries. An analytical solution of a linear model. J Biomech 33: 395-405, 2000.
6. Chen CH, Nevo E, Fetics B, Pak PH, Yin FC, Maughan WL, Kass DA. Estimation of central aortic pressure waveform by mathematical transformation of radial tonometry pressure. Validation of generalized transfer function. Circulation 95: 1827-1836, 1997.
7. Fitchett DH. LV-arterial coupling: interactive model to predict effect of wave reflections on LV energetics. Am J Physiol Heart Circ Physiol 261: H1026-H1033, 1991.
8. Giller CA, Aaslid R. Estimates of pulse wave velocity and measurement of pulse transit time in the human cerebral circulation. Ultrasound Med Biol 20: 101-105, 1994.
9. Hayashi K, Nagasawa S, Naruo Y, Okumura A, Moritake K, Handa H. Mechanical properties of human cerebral arteries. Biorheology 17: 211-218, 1980.
10. Hillen B, Hoogstraten HW, Post L. A mathematical model of the flow in the circle of Willis. J Biomech 19: 187-194, 1986.
11. Holenstein R, Niederer P, Anliker M. A viscoelastic model for use in predicting arterial pulse waves. J Biomech Eng 102: 318-325, 1980.
12. Karamanoglu M, O'Rourke MF, Avolio AP, Kelly RP. An analysis of the relationship between central aortic and peripheral upper limb pressure waves in man. Eur Heart J 14: 160-167, 1993.
13. Kufahl RH, Clark ME. A circle of Willis simulation using distensible vessels and pulsatile flow. J Biomech Eng 107: 112-122, 1985.
14. Langewouters GJ. Visco-elasticity of the human aorta in vitro in relation to pressure and age (PhD thesis). Amsterdam: Free University, 1982, p.221.
15. Latham RD, Westerhof N, Sipkema P, Rubal BJ, Reuderink P, Murgo JP. Regional wave travel and reflections along the human aorta: a study with six simultaneous micromanometric pressures. Circulation 72: 1257-1269, 1985.
16. Luchsinger PC, Snell RE, Patel DJ, Fry DL. Instanteous pressure distribution along the human aorta. Circ Res 15: 503-510, 1964.
17. Meister JJ. [Doppler ultrasound measurement and theoretical modeling of the effect of heart disease on arterial pressure and flow (PhD thesis).]. Lausanne: EPFL, 1983, p. IV, 125.
18. Murgo JP, Westerhof N, Giolma JP, Altobelli SA. Aortic input impedance in normal man: relationship to pressure wave forms. Circulation 62: 105-116, 1980.
19. Noordergraaf A, Verdouw D, Boom HB. The use of an analog computer in a circulation model. Prog Cardiovasc Dis 5: 419-439, 1963.
20. Olufsen MS, Peskin CS, Kim WY, Pedersen EM, Nadim A, Larsen J. Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann Biomed Eng 28: 1281-1299, 2000.
21. Papapanayotou CJ, Cherruault Y, Delarochefoucauld B. A mathematical-model of the Circle of Willis in the presence of an arteriovenous anomaly. Computers & Mathematics with Applications 20: 199-206, 1990.
22. Raines JK, Jaffrin MY, Shapiro AH. A computer simulation of arterial dynamics in the human leg. J Biomech 7: 77-91, 1974.
23. Reymond P, Merenda F, Perren F, Rufenacht D, Stergiopulos N. Validation of a one-dimensional model of the systemic arterial tree. Am J Physiol Heart Circ Physiol 297: H208-H222, 2009.
24. Segers P, Rietzschel E, Heireman S, De Buyzere M, Gillebert T, Verdonck P, Van Bortel L. Carotid tonometry versus synthesized aorta pressure waves for the estimation of central systolic blood pressure and augmentation index. Am J Hypertens 18: 1168-1173, 2005.
25. Stergiopulos N, Young DF, Rogge TR. Computer simulation of arterial flow with applications to arterial and aortic stenoses. J Biomech 25: 1477-1488, 1992.
26. Stettler JC, Niederer P, Anliker M. Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part I: mathematical models and prediction of normal pulse patterns. Ann Biomed Eng 9: 145-164, 1981.
27. Stettler JC, Niederer P, Anliker M, Casty M. Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part II: critical evaluation of theoretical model and comparison with noninvasive measurements of flow patterns in normal and pathological cases. Ann Biomed Eng 9: 165-175, 1981.
28. Wan J, Steele B, Spicer SA, Strohband S, Feijoo GR, Hughes TJ, Taylor CA. A one-dimensional finite element method for simulationbased medical planning for cardiovascular disease. Comput Methods Biomech Biomed Engin 5: 195-206, 2002.
29. Westerhof BE, Guelen I, Stok WJ, Lasance HA, Ascoop CA, Wesseling KH, Westerhof N, Bos WJ, Stergiopulos N, Spaan JA. Individualization of transfer function in estimation of central aortic pressure from the peripheral pulse is not required in patients at rest. J Appl Physiol 105: 1858-1863, 2008.
30. Westerhof BE, van den Wijngaard JP, Murgo JP, Westerhof N. Location of a reflection site is elusive: consequences for the calculation of aortic pulse wave velocity. Hypertension 52: 478-483, 2008.
31. Westerhof N, Bosman F, De Vries CJ, Noordergraaf A. Analog studies of the human systemic arterial tree. J Biomech 2: 121-143, 1969.
32. Zagzoule M, Marc-Vergnes JP. A global mathematical model of the cerebral circulation in man. J Biomech 19: 1015-1022, 1986.