A numerical hemodynamic tool for predictive vascular surgery

Medical Engineering and Physics

Volumn 31, Issue 1, 2009, Pages 131-144

  Marchandise, Emilie ^a,c   Willemet, Marie ^a   Lacroix, Valérie ^b,c  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b CLINIQUES UNIVERSITAIRES SAINT LUC   (Belgium)

^c FNRS   (Belgium)

Author keywords

Blood flow; Discontinuous Galerkin; Hyperbolic system; Multiscale modeling; Vascular surgery

Indexed keywords

BENCHMARKING; BLOOD; HEMODYNAMICS; HYDRODYNAMICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SURGERY;

BLOOD FLOW; DISCONTINUOUS GALERKIN; HYPERBOLIC SYSTEM; MULTISCALE MODELING; VASCULAR SURGERY;

GALERKIN METHODS;

DACRON;

ARTERIAL PRESSURE; ARTERIOGRAPHY; ARTERY BLOOD FLOW; ARTERY COMPLIANCE; ARTERY DIAMETER; ARTERY RESISTANCE; ARTICLE; ATHEROSCLEROSIS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; BYPASS SURGERY; CASE REPORT; CONTROLLED STUDY; DACRON VASCULAR PROSTHESIS; ELASTICITY; FEMORAL ARTERY FLOW; FEMOROPOPLITEAL BYPASS; GALERKIN MODEL; HUMAN; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; PULSE WAVE; SURGICAL APPROACH; TREATMENT PLANNING; VASCULAR SURGERY; YOUNG MODULUS;

ARTERIES; BLOOD CIRCULATION; CORONARY ARTERY BYPASS; HEART TRANSPLANTATION; HEMODYNAMICS; HUMANS; MODELS, ANATOMIC; MODELS, BIOLOGICAL; SAPHENOUS VEIN; VASCULAR SURGICAL PROCEDURES;

EID: 57849102045     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2008.04.015     Document Type: Article

References (73)

1. Taylor S., Cull D., Kalbaugh C., Cass A., Harmon S., and Langan E. Critical analysis of clinical success after surgical bypass for lower-extremity ischemic tissue loss using a standardized definition combining multiple parameters: a new paradigm of outcomes assessment. J Am Coll Surg 204 (2007) 831-838
2. Mandolfino T., Canciglia A., D'Alfonso M., and Carmignani A. Infrainguinal revascularization based on duplex ultrasound arterial mapping. Int Angiol 25 (2006) 256-260
3. Albers M., Romiti M., De Luccia N., Brochado-Neto F., Nishimoto I., and Pereira C. An updated meta-analysis of infrainguinal arterial reconstruction in patients with end-stage renal disease. J Vasc Surg 45 (2007) 536-542
4. Steele B.N., Wan J., Ku J.P., Hughes T.J.R., and Taylor C.A. In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts. IEEE Trans Biomed Eng 50 6 (2003) 649-656
5. Franke V., Parker K., Wee L., and Sherwin S. Time domain computational modeling of 1d arterial networks in monochorionic placentas. Math Model Numer Anal 37 (2003) 557-580
6. Matthys K., Alastruey J., Peiro J., Khir A., Segers P., Verdonck P., et al. Pulse wave propagation in a model human arterial network: assessment of 1-d numerical simulations against in vitro measurements. J Biomech 40 15 (2007) 3476-3486
7. Alastruey J., Parker K.H., Peiro J., and Sherwin S.J. Can the modified Allen's test always detect sufficient collateral flow in the hand? A computational study. Comput Methods Biomech Biomed Eng 9 6 (2006) 353-361
8. Alastruey J., Parker K.H., Peiro J., Byrd S.M., and Sherwin S.J. Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. J Biomech 40 8 (2007) 1794-1805
9. Bathe M., and Kamm R. A fluid-structure interaction finite element analysis of pulsatile blood flow through a compliant stenotic artery. J Biomech Eng 121 4 (1999) 361-369
10. Gerbeau J., Vidascu M., and Frey P. Fluid-structure interaction in blood flows on geometries based on medical imaging. Comput Struct 83 2/3 (2005) 155-165
11. Stergiopulos N., Young D., and Rogge T. Computer simulation of arterial flow with application to arterial and aortic stenoses. J Biomech 25 12 (1992) 1477-1488
12. Olufsen M., Peskin C., Kim W., Pedersen E., Nadim A., and Larsen J. Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann Biomed Eng 28 11 (2000) 1281-1299
13. Sherwin S., Franke V., Peiro J., and Parker K. One-dimensional modelling of a vascular network in space-time variables. J Eng Math 47 (2003) 217-250
14. Wang J., and Parker K. Wave propagation in a model of the arterial circulation. J Biomech 37 (2004) 457-470
15. Euler L. Principia pro motu sanguinis per arterias determinando. Opera posthima mathematica et physica anno 1844 detecta 2. Ediderunt PH Fuss N Fuss Petropoli; Apund Eggers Socios (1775) 814-823
16. Westerhof N., Bosman F., Vries C., and Noordergraaf A. Analog studies of the human systemic arterial tree. J Biomech 2 (1969) 121-143
17. Avolio A. Multi-branched model of the human arterial system. Med Biol Eng Comput 18 6 (1980) 709-718
18. Pietrabissa R., Mantero S., Marotta T., and Menicanti L. A lumped parameter model to evaluate the fluid dynamics of different coronary bypasses. Med Eng Phys 18 6 (1996) 477-484
19. Milisic V., and Quarteroni A. Analysis of lumped parameter models for blood flow simulations and their relation with 1d models. Math Model Numer Anal 38 4 (2004) 613-632
20. Alastruey J., Moore S., Parker K., David T., Peiró J., and Sherwin S. Reduced modelling of blood flow in the cerebral circulation: coupling 1-d, 0-d and cerebral auto-regulation models. Int J Numer Methods Fluids 56 8 (2008) 1061-1067
21. Formaggia L., Gerbeau J., Nobile F., and Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput Methods Appl Mech Eng 191 (2001) 561-582
22. Lagana K., Dubini F., Migliavacca F., Pietrabissa R., and Fumero R. Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology 39 3/4 (2002) 359-364
23. Formaggia L., Nobile F., Quarteroni A., and Veneziani A. Multiscale modelling of the cardiovascular system: a preliminary analysis. Comput Vis Sci 2 2/3 (1999) 75-83
24. Lamponi D. One dimensional and multiscale models for blood fow circulation. Ph.D. thesis. Ecole polytechnique fédérale de Lausanne (EPFL); 2004.
25. Pedley T. The fluid dynamics of large blood vessels (1980), Cambridge University Press
26. Dinnar U. Cardiovascular fluid dynamics (1981), CRC Press Inc.
27. Alastruey J. Numerical modeling of pulse wave propgation in the cardiovascular system: development, validation and clinical applications. Ph.D. thesis. Imperial College London; 2006.
28. Smith N, Pullan A, Hunter P. An anatomically based model of transient coronary blood flow in the heart. SIAM J Appl Math 2002;62:990-1018
29. Westerhof N., and Stergiopulos N. Snapshots of hemodynamics (2005), Springer
30. Bessems D. On the propagation of pressure and flow waves through the patient specific arterial system. Ph.D. thesis. Technische Universiteit Eindhoven; 2006.
31. Cross M. Rheology of non-Newtonian fluids: a new flow equation for pseudoplastics systems. J. Colloids Sci. 1965;20:417-37
32. Cros F. Confluences, remplissage et vidange: deux aspects singuliers du réseau veineux jambier. Ph.D. thesis. Université Paris; 2003. p. 7.
33. Bramwell J., and Hill A. The velocity of the pulse wave in man. Proc R Soc Lond 93 (1922) 298-306
34. Frank O. Elastizität der blutgefässe. Z Biol 71 (1920) 255-272
35. Hayashi K. Stiffness and elastic behavior of human intracranial and extracranial arteries. Biomechanics 1980;13:175-84
36. van Loon P. Length-force and volume-pressure relationships of arteries. Biorheology 1977;14:181-201.
37. Lesaint P. Sur la résolution des systèmes hyperboliques du premier ordre par la méthode des éléments finis. Ph.D. thesis. Université Pierre et Marie Curie; 1975.
38. Cockburn B., and Shu C. The Runge-Kutta discontinuous Galerkin method for conservation laws. V. Multidimensional systems. J Comput Phys 141 (1998) 199-224
39. Cockburn B., and Shu C.-H. TVD Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. Math Comput 52 186 (1989) 411-435
40. Hu C., and Shu C.-W. A discontinuous Galerkin finite element method for Hamilton-Jacobi equations. SIAM J Sci Comput 21 (1999) 666-690
41. Ainsworth M. Dispersive and dissipative behavior of high order discontinuous Galerkin finite element methods. J Comput Phys 198 1 (2004) 106-130
42. Marchandise E., Remacle J.-F., and Chevaugeon N. A quadrature free discontinuous Galerkin method for the level set equation. J Comput Phys 212 1 (2006) 338-357
43. Bernhard S., Mohlenkamp S., Erbel R., and Tilgner A. Oscillatory flow in a tube with time-dependent wall deformation and its application to myocardial bridges. ESAIM: Proc 14 (2005) 25-40
44. Olufsen M. Modeling the arterial system with reference to an anesthesia simulator. Ph.D. thesis. Universitas Roskildensis; 1998.
45. Cros F., Flaud P., and Dantan P. A digital model for the venous junctions. Comput Methods Biomech Biomed engineering 5 6 (2002) 421-429
46. Stergiopulos N., Westerhof B., and Westerhof N. Total arterial inertance as the fourth element of the windkessel model. Am J Physiol 276 (1999) 81-88
47. Olufsen M. Structured tree outflow condition for blood flow in larger systemic arteries. Am J Physiol 276 (1999) 257-268
48. Fernandez M.A., Milisic V., and Quarteroni A. Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs. Multiscale Model Simul 4 1 (2005) 215-236
49. Xiu D., and Sherwin S. Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial networks. J Comput Phys 226 1 (2007) 1385-1407
50. Formaggia L., Nobile F., and Quarteroni A. A one dimensional model for blood flow: application to vascular prosthesis. In: Babuska I., Miyoshi T., and Ciarlet P. (Eds). Lecture notes in computational science and engineering (2002), Springer-Verlag 137-153 [Chapter 19]
51. O'Rourke M, Staessen J, Vlachopoulos C, Duprez D, Plante G. Clinical applications of arterial stiffness; definitions and reference values. Am J Hypertens 2002.
52. Simon A.C., Safar M.E., Levenson J.A., London B.I., Levy G.M., and Chau N.P. An evaluation of large arteries compliance in man. Am J Physiol 237 (1979) 550-554
53. Rzucidlo E., Walsh D., and Powell R. Prediction of early graft failure with intraoperative completion duplex ultrasound scan. J Vasc Surg 36 (2002) 975-981
54. Lundell A., and Bergqvist D. Prediction of early graft occlusion in femoropopliteal and femorodistal reconstructions by measuremet of volume flow with a transit time flowmeter and calculation of peripheral resistance. Eur J Vasc Surg 7 (1993) 704-709
55. Stirnemann P., Ris H.B., Do D., and Hammerli R. Intraoperative flow measurement of distal runoff: a valid predictor of outcome of infrainguinal bypass surgery. Eur J Vasc Surg 160 (1994) 431-436
56. Bandyk D., Cato R., and Towne J. A low flow velocity predicts failure of femoropopliteal and femorotibial bypass grafts. Surgery 89 4 (1985) 799-809
57. Johnson B.L., Bandyk D.F., Back M.R., Avino A.J., and Roth S.M. Intraoperative duplex monitoring of infrainguinal vein bypass procedures. J Vasc Surg 31 4 (2000) 678-690
58. Miller J., Walsh J.A., Foreman R.K., Dupont P.A., Luethke R., James M.J., et al. Vascular outflow resistance and angiographic assessment of lower limb arterial reconstructive procedures. Aust N Z J Surg 60 4 (1990) 275-281
59. Leuprecht A., Perktold K., Prosi M., Berk T., Trubel W., and Schima H. Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts. J Biomech 35 (2002) 225-236
60. Klimach O., Chapman B.L., Underwood C.J., and Charlesworth D. An investigation into how the geometry of an end-to-side arterial anastomosis affects its function. Br J Surg 71 1 (1984) 43-45
61. Pousset Y., Lermusiaux P., Berton G., Le Gouez J.-M., and Leroy R. Numerical model study of flow dynamics through an end-to-side anastomosis: choice of anastomosis angle and prosthesis diameter. Ann Vasc Surg 20 6 (2006) 773-779
62. McIntire LV, Martin RR. Mechanical trauma induced PCM leukocyte dysfunction. In the Rheology of Blood Vessels and Associated Tissues. eds Gross DR, Hwang, NHC. Alphen aan den Rijn: NATO Advanced Study Institute Series - E No 41, Sijhoff & Noordhoff, 1981.
63. Hellums JD, Hardwick, RA. Response to platelets to shear stress a review. In: Hemovascular Rheology: the Physics of Blood and Vascular Tissue (Hwang, NHC & Gross, DR, eds), Amsterdam: Sijthoff and Noorhoff; 1981. pp. 160-183.
64. Peskin C. Numerical analysis of blood flow in the heart. J Comput Phys 25 (1977) 220-252
65. Wang J.-J., O'Brien A.B., Shrive N.G., Parker K.H., and Tyberg J.V. Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am J Physiol Heart Circ Physiol 284 4 (2003) 1358-1368
66. Albers M., Battistella V., Romiti M., Rodrigues A., and Pereira C. Meta-analysis of polytetrafluoroethylene bypass grafts to infrapopliteal arteries. J Vasc Surg 37 (2003) 1263-1269
67. Norgren L, Hiatt W, Dormandy J, Nehler M, Harris K, Fowkes F. Inter-society consensus for the management of peripheral arterial disease (TASC II). Eur J Vasc Endovasc Surg 2007;45(1):S5-S67.
68. Pukacki F., Jankowski T., Gabriel M., Oszkinis G., Krasinski Z., and Zapalski S. The mechanical properties of fresh and cryopreserved arterial homografts. Eur J Vasc Endovasc Surg 20 (2000) 21-24
69. Wilson S.E., Hobson R.W., and Veith F.J. Vascular surgery: principles and practice (2003), Informa Healthcare
70. Rudic R., and Sessa W. Nitric oxide in endothelial dysfunction and vascular remodeling: clinical correlates and experimental links. Am J Hum Genet 64 (1999) 673-677
71. Birnbaum Y., Fishbein M., Luo H., Nishioka T., and Siegel R. Regional remodeling of atherosclerotic arteries: a major determinant of clinical manifestations of disease. J Am Coll Cardiol 30 (1997) 1149-1164
72. Losordo D., Rosenfield K., Kaufman J., Pieczek A., and Isner J. Focal compensatory enlargement of human arteries in response to progressive atherosclerosis. in vivo documentation using intravascular ultrasound. Circulation 89 (1994) 2570-2577
73. Laurent S., Caviezel B., Beck L., Girerd X., Billaud E., and Boutouyrie P. Carotid artery distensibility and distending pressure in hypertensive humans. Hypertension 23 (1994) 878-883