A physiologically relevant, simple outflow boundary model for truncated vasculature

Annals of Biomedical Engineering

Volumn 39, Issue 5, 2011, Pages 1470-1481

  Pahlevan, Niema M ^a   Amlani, Faisal ^a   Hossein Gorji, M ^b   Hussain, Fazle ^c   Gharib, Morteza ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF HOUSTON   (United States)

Author keywords

Arterial wave reflection; Blood flow; Computer modeling; Fluid structure interaction

Indexed keywords

BLACK BOXES; BLOOD FLOW; COMPLIANT VESSELS; COMPUTATIONAL DOMAINS; COMPUTER MODELING; ELASTIC TUBES; NEW MODEL; OUTFLOW BOUNDARY; PHYSIOLOGICAL CHARACTERISTICS; PHYSIOLOGICAL EFFECTS; TEST CASE; VASCULATURE; WAVE INTENSITY ANALYSIS; WAVE REFLECTIONS;

BLOOD; COMPUTER SIMULATION; ELASTICITY; FLUID STRUCTURE INTERACTION; HEMODYNAMICS;

PHYSIOLOGICAL MODELS;

AORTA; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; ELASTICITY; HUMAN; PHYSIOLOGY; VASCULAR RESISTANCE;

AORTA; BLOOD FLOW VELOCITY; BLOOD PRESSURE; ELASTICITY; HUMANS; MODELS, CARDIOVASCULAR; VASCULAR RESISTANCE;

EID: 79954429243     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-011-0246-0     Document Type: Article

References (43)

1. ADINA R&D, Inc. Theory and Modeling Guide, Volume I: ADINA Solids & Structures, 2009.
2. ADINA R&D, Inc. Theory and Modeling Guide, Volume III: ADINA CFD & FSI, 2009.
3. M Anliker RL Rockwell E Ogden 1971 Nonlinear analysis of flow pulses and shock waves in arteries Z. Angew. Math. Phys. 22 217 246 10.1007/BF01591407
4. A Avolio 1992 Aging and wave reflection J. Hypertens. 10 S83 S86 10.1097/00004872-199208001-00022 1:STN:280:DyaK3s%2FlvVSlsA%3D%3D
5. Bathe, K. J. Finite Element Procedures. Englewood Cliffs, NJ: Prentice-Hall, 2006.
6. M Bathe RD Kamm 1999 A fluid-structure interaction finite element analysis of pulsatile blood flowthrough a compliant stenotic artery J. Biomech. Eng. Trans. ASME 121 361 369 10.1115/1.2798332 1:STN:280:DyaK1Mzptl2mtw%3D%3D
7. K-J Bathe H Zhang 2004 Finite element developments for general fluid flows with structural interactions Int. J. Numer. Methods Eng. 60 1 213 232 10.1002/nme.959 (Pubitemid 38571072)
8. KJ Bathe H Zhang MH Wang 1995 Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions Comput. Struct. 56 193 213 10.1016/0045-7949(95)00015-9
9. KJ Bathe H Zhang X Zhang 1997 Some advances in the analysis of fluid flows Comput. Struct. 64 909 930 10.1016/S0045-7949(97)00040-0 (Pubitemid 127414574)
10. KJ Bathe H Zhang S Ji 1999 Finite element analysis of fluid flows fully coupled with structural interactions Comput. Struct. 72 1 16 10.1016/S0045-7949(99)00042-5
11. Caro, C. G., T. J. Pedley, R. C. Schroter, and W. A. Seed. The Mechanics of the Circulation. Oxford, UK: Oxford University Press, 1978.
12. L De Pater JW van den Berg 1962 An electrical analog of the human circulatory system Acta Physiol. Pharma. Neerl. 11 511 512
13. SS Franklin MA Weber 1994 Measuring hypertensive cardiovascular risk: the vascular overload concept Am. Heart J. 128 793 803 7942450 10.1016/0002- 8703(94)90278-X 1:STN:280:DyaK2M%2FivV2ntg%3D%3D (Pubitemid 24314668)
14. Fung, Y. C. Biomechanics Circulation (2nd ed.). New York: Springer, 1997.
15. L Grinberg GE Karniadakis 2008 Outflow boundary conditions for arterial networks with multiple outlets Ann. Biomed. Eng. 36 1496 1514 18612828 10.1007/s10439-008-9527-7
16. AW Khir AB O'Brien JSR Gibbs KH Parker 2001 Determination of wave speed and wave separation in the arteries J. Biomech. 34 1145 1155 11506785 10.1016/S0021-9290(01)00076-8 1:STN:280:DC%2BD3Mvmt1eqsw%3D%3D (Pubitemid 32744664)
17. TW Koh JR Pepper AC DeSouza KH Parker 1998 Analysis of wave reflections in the arterial system using wave intensity: a novel method for predicting the timing and amplitude of reflected waves Heart Vessels 13 103 113 10328180 10.1007/BF01747827 1:STN:280:DyaK1M3lvVOgsA%3D%3D (Pubitemid 29192204)
18. WK Laskey WG Kussmaul 1987 Arterial wave reflection in heart failure Circulation 75 711 722 3829333 1:STN:280:DyaL2s7lvF2iuw%3D%3D (Pubitemid 17052654)
19. S Laurent P Boutouyrie R Asmar I Gautier B Laloux L Guize P Ducimetiere A Benetos 2001 Aortic stiffness is an independent predictor of all-cause and cardiovascular mortality in hypertensive patients Hypertension 37 1236 1241 11358934 1:STN:280:DC%2BD3M3ptVWrsw%3D%3D (Pubitemid 34163575)
20. G London J Blacher B Pannier AP Guerin SJ Marchais ME Safar 2001 Arterial wave reflections and survival in end-stage renal failure Hypertension 38 434 438 11566918 1:CAS:528:DC%2BD3MXoslWrtb4%3D (Pubitemid 34225679)
21. KS Matthys J Alastruey J Piero AW Khir P Segers PR Verdonck KH Parker SJ Sherwin 2007 Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulation against in vitro measurements J. Biomech. 40 15 3476 3486 17640653 10.1016/j.jbiomech.2007.05.027 (Pubitemid 47632606)
22. Milnor, W. R. Haemodynamics. Baltimore, London: William & Wilson, p. 419, 1982.
23. GF Mitchell JC Tardif JM Arnold G Marchiori TX O'Brien ME Dunlap MA Pfeffer 2001 Pulsatile hemodynamics in congestive heart failure Hypertension 38 1433 1439 11751731 10.1161/hy1201.098298 1:CAS:528:DC%2BD38XisVWhtQ%3D%3D (Pubitemid 34033429)
24. Nichols, W. W., and M. F. O'Rourke. McDonald's Blood Flow in Arteries (4th ed.). London: Arnold, The Hodder Headline Group Publication, p. 564, 1998.
25. A Noordergraaf PD Verdouw HBK Boom 1963 The use of an analog computer in a circulation model Prog. Cardiovasc. Dis. 5 419 439 13938863 10.1016/S0033-0620(63)80009-2 1:STN:280:DyaF387jtVGguw%3D%3D
26. MF O'Rourke WW Nichols 2005 Aortic diameter, aortic stiffness, and wave reflection increase with age and isolated systolic hypertension Hypertension 45 652 658 15699456 10.1161/01.HYP.0000153793.84859.b8 (Pubitemid 40418361)
27. M Olufsen 1999 Structured tree outflow condition for blood flow in larger systemic arteries Am. J. Physiol. 276 H257 H268 9887040 1:CAS:528: DyaK1MXnt12nug%3D%3D
28. KH Parker CJH Jones 1990 Forward and backward running waves in the arteries: analysis using the method of characteristics J. Biomech. Eng. 112 322 332 2214715 10.1115/1.2891191 1:STN:280:DyaK3M%2Fhtlyiug%3D%3D
29. KH Parker CJH Jones JR Dawson DG Gibson 1998 What stops the flow of blood from the heart? Heart Vessels 4 241 245 10.1007/BF02058593
30. BW Schaff PA Abbrecht 1972 Digital computer simulation of human systemic arterial pulse wave transmission: a nonlinear model J. Biomech. 5 345 364 10.1016/0021-9290(72)90064-4
31. DA Self DL Ewert RD Swope RP Crisman RD Latham 1994 Beat-to-beat determination of peripheral resistance and arterial compliance during +Gz centrifugation Aviat. Space Environ. Med. 65 5 396 403 8024521 1:STN:280:DyaK2c3ps1ensQ%3D%3D (Pubitemid 24136805)
32. SJ Sherwin V Franke J Peiro K Parker 2003 One dimensional modelling of a vascular network in space-time variables J. Eng. Math. 47 3-4 217 250 10.1023/B:ENGI.0000007979.32871.e2 (Pubitemid 38136068)
33. N Stergiopulos DF Young TR Rogge 1992 Computer simulation of arterial flow with applications to arterial and aortic stenosis J. Biomech. 25 1477 1488 1491023 10.1016/0021-9290(92)90060-E 1:STN:280:DyaK3s7kslSruw%3D%3D
34. N Stergiopulos JJ Meister N Westerhof 1994 Simple and accurate estimating total and segmental arterial compliance: the pulse pressure method Ann. Biomed. Eng. 22 392 397 7998684 10.1007/BF02368245 1:STN:280:DyaK2M%2FptFegsQ%3D%3D (Pubitemid 24264086)
35. N Stergiopulos JJ Meister N Westerhof 1995 Evaluation of methods for estimation of total arterial compliance Am. J. Physiol. Heart Circ. Physiol. 268 H1540 H1548 1:CAS:528:DyaK2MXlt1Gjtbo%3D
36. CA Taylor MT Draney JP Ku D Parker BN Steele K Wang CK Zarins 1999 Predictive medicine: computational techniques in therapeutic decision making Comput. Aided Surg. 4 231 247 10581521 10.3109/10929089909148176 1:STN:280:DC%2BD3c%2FltFSgtg%3D%3D (Pubitemid 30014302)
37. IE Vignon-Clementel CA Figueroa KE Jansen CA Taylor 2006 Outflow boundary condition for three-dimensional finite element modeling of blood flow and pressure in arteries Comp. Methods Appl. Mech. Eng. 195 3776 3796 10.1016/j.cma.2005.04.014
38. Vignon-Clementel, I. E., C. A. Figueroa, K. E. Jansen, and C. A. Taylor. Outflow boundary condition for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries. Comput. Methods Biomech. iFirst article:1-16, 2010.
39. N Westerhof F Bosman CJ DeVries A Noordergraaf 1969 Analog studies of the human systemic arterial tree J. Biomech. 2 121 143 16335097 10.1016/0021-9290(69)90024-4 1:STN:280:DC%2BD2MnlsVajsw%3D%3D
40. Whitaker, S. Introduction to Fluid Mechanics. Malabar, FL: Krieger Publishing Company, 1992.
41. JR Womersley 1955 Mathematical theory of oscillating flow in an elastic tube J. Physiol. 127 37 38 14354700 1:STN:280:DyaG2M%2Fls1arug%3D%3D
42. Zamir, M. The Physics of Pulsatile Flow. New York: Springer, p. 220, 2000.
43. Zhang, H., and K. J. Bathe. Direct and iterative computing of fluid flows fully coupled with structures. In: Computational Fluid and Solid Mechanics, edited by K. J. Bathe. New York: Elsevier Science, 2001.