Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk

Computational Mechanics

Volumn 54, Issue 4, 2014, Pages 921-932

  Long, C C ^a   Marsden, A L ^b   Bazilevs, Y ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

Author keywords

Fluid structure interaction; Isogeometric analysis; Optimization; Pulsatile VAD; Residence time; SMF

Indexed keywords

AIR; BLOOD; EFFICIENCY; FLUID MECHANICS; OPTIMIZATION;

ISOGEOMETRIC ANALYSIS; PARALLEL-COMPUTING ENVIRONMENT; PARTICLE RESIDENCE TIME; PATTERN SEARCH OPTIMIZATIONS; PULSATILE VAD; RESIDENCE TIME; STRUCTURAL MECHANICS MODELS; VENTRICULAR ASSIST DEVICE;

SHAPE OPTIMIZATION;

EID: 84919487316     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-013-0967-z     Document Type: Article

References (68)

1. Abraham F, Behr M, Heinkenschloss M (2005) Shape optimization in steady blood flow: a numerical study of non-newtonian effects. Comput Methods Biomech Biomed Eng 8:127–137
2. Abraham F, Behr M, Heinkenschloss M (2005) Shape optimization in unsteady blood flow: a numerical study of non-newtonian effects. Comput Methods Biomech Biomed Eng 8:201–212
3. Antaki JF, Ghattas O, Burgreen GW, He B (1995) Computational flow optimization of rotary blood pump components. Artif Organs 19:608–615
4. Audet C (2004) Convergence results for pattern search algorithms are tight. Optim Eng 5(2):101–122
5. Audet C, Dennis JE Jr (2003) Analysis of generalized pattern searches. SIAM J Optim 13(3):889–903
6. Audet C, Dennis JE Jr (2004) A pattern search filter method for nonlinear programming without derivatives. SIAM J Optim 14(4):980–1010
7. Audet C, Dennis JE Jr (2006) Mesh adaptive direct search algorithms for constrained optimization. SIAM J Optim 17(1):2–11
8. Bazilevs Y, Calo VM, Hughes TJR, Zhang Y (2008) Isogeometric fluid–structure interaction: theory, algorithms, and computations. Comput Mech 43:3–37
9. Bazilevs Y, Calo VM, Zhang Y, Hughes TJR (2006) Isogeometric fluid–structure interaction analysis with applications to arterial blood flow. Comput Mech 38:310–322
10. Bazilevs Y, Ming-Chen H, Kiendl J, Wüchner R, Bletzinger K-U (2011) 3D simulation of wind turbine rotors at full scale. Part II. Int J Numer Methods Fluids 65:236–253
11. Bazilevs Y, Ming-Chen H, Scott MA (2012) Isogeometric fluid–structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines. Comput Methods Appl Mech Eng 249–252:28–41
12. Bazilevs Y, Ming-Chen H, Takizawa K, Tezduyar TE (2012) ALE–VMS and ST–VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid–structure interaction. Math Models Methods Appl Sci 22(supp02):1230002
13. Bazilevs Y, Takizawa K, Tezduyar TE (2013) Computational fluid–structure interaction: methods and applications. Wiley, New York
14. Benson DJ, Bazilevs Y, De Luycker E, Hsu M-C, Scott M, Hughes TJR, Belytschko T (2010) A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Int J Numer Math Eng 83:765–785
15. Benson DJ, Bazilevs Y, Hsu M-C, Hughes TJR (2011) A large deformation, rotation-free, isogeometric shell. Comput Methods Appl Mech Eng 200:1367–1378
16. Bluestein D, Niu L, Schoephoerster R, Dewanjee M (1997) Fluid mechanics of arterial stenosis: relationship to the development of mural thrombus. Ann Biomed Eng 25:344–356
17. Booker AJ, Dennis JE Jr, Frank PD, Serafini DB, Torczon V, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struct Optim 17(1):1–13
18. Burgreen GW, Antaki JF, Wu ZJ, Holmes AJ (2001) Computational fluid dynamics as a development tool for rotary blood pumps. Artif Organs 25:336–340
19. Clark JB, Pauliks LB, Myers JL, Undar A (2011) Mechanical circulatory support for end-stage heart failure in repaired and palliated congenital heart disease. Curr Cardiol Rev 7(2):102–109
20. Cottrell JA, Hughes TJR, Bazilevs Y (2009) Isogeometric analysis. Toward integration of CAD and FEA. Wiley, Chichester
21. Davis C (1954) Theory of positive linear dependence. Am J Math 1:448–474
22. Esmaily-Moghadam M, Hsia TY, Marsden AL (2013) A non-discrete method for computation of residence time in fluid mechanics simulations. Phys Fluids. doi:10.1063/1.4819142
23. Moghadam ME, Migliavacca F, Vignon-Clementel IE, Hsia TY, Marsden AL, Modeling of Congenital Hearts Alliance (MOCHA) Investigators (2012) Optimization of shunt placement for the Norwood surgery using multi-domain modeling. J Biomech Eng 134(5):051002
24. Gandhi SK, Huddleston CB, Balzer DT, Epstein DJ, Boschert TA, Canter CE (2008) Biventricular assist devices as a bridge to heart transplantation in small children. Circulation 118(14 Suppl):S89–93
25. Ho KK, Anderson KM, Kannel WB, Grossman W, Levy D (1993) Survival after the onset of congestive heart failure in framingham heart study subjects. Circulation 88:107115
26. Hughes TJR, Cottrell JA, Bazilevs Y (2005) Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement. Comput Methods Appl Mech Eng 194:4135–4195
27. Humpl T, Furness S, Gruenwald C, Hyslop C, Van G (2010) The Berlin heart EXCOR pediatrics: the sick kids experience 2004–2008. Int J Artif Organs 34(12):1082–1086
28. Jozsa J, Kramer T (2000) Modeling residence time as advection-diffusion with zero-order reaction kinetics. In Proceedings of the Hydrodynamics 2000 Conference. International Association of Hydraulic Engineering and Research
29. Jozsa J, Kramer T, Peltoniemi H (2001) Assessing water exchange mechanisms in complex lake and coastal flows by modeling the spatial distribution of mean residence time. In CD-ROM Proceedings of the XXIX IAHR Congress, Beijing, pp 73–79
30. Kiendl J, Bazilevs Y, Ming-Chen H, Wüchner R, Bletzinger K-U (2010) The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches. Comput Methods Appl Mech Eng 199:2403–2416
31. Kiendl J, Bletzinger K-U, Linhard J, Wüchner R (2009) Isogeometric shell analysis with Kirchhoff–Love elements. Comput Methods Appl Mech Eng 198:3902–3914
32. Lehnhäuser T, Shäfer M (2005) A numerical approach for shape optimization of fluid flow domains. CMAME 194:5221–5241
33. Lewis RM, Torczon V (1996) Rank ordering and positive bases in pattern search algorithms. Technical Report 96–71, Institute for Computer Applications in Science and Engineering, Mail Stop 132C, NASA Langley Research Center, Hampton, 23681–2199
34. Lewis RM, Torczon V (2002) A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds. SIAM J Optim 12:1075–1089
35. Lloyd-Jones D, Adams RJ, Brown TM, Carnethon M, Dai S, De Simone G, Ferguson TB, Ford E, Furie K, Gillespie C, Go A, Greenlund K, Haase N, Hailper S, Ho PM, Howard V, Kissela B, Kittner S, Lackland D, Lisabeth L, Marelli A, McDermott MM, Meigs J, Mozaffarian D, Mussolino M, Nichol G, Roger VL, Rosamond W, Sacco R, Sorlie P, Stafford R, Thom T, Wasserthiel-Smoller S, Wong ND, Wylie-Rosett J (2010) American heart association statistics committee and stroke statistics subcommittee. executive summary: heart disease and stroke statistics, (2010) update: a report from the american heart association. Circulation 121:948954
36. Long CC, Moghadam ME, Marsden AL, Bazilevs Y (2013) Computation of residence time in the simulation of pulsatile ventricular assist devices. Comput Mech. doi:10.1007/s00466-013-0931-y
37. Long CC, Marsden AL, Bazilevs Y (2013) Fluid–structure interaction simulation of pulsatile ventricular assist devices. Comput Mech 52:971–981
38. Lophaven SN, Nielsen HB, Søndergaard J (2002) DACE: a MATLAB Kriging toolbox version 2.0. Technical Report IMM-TR-2002-12, Technical University of Denmark, Copenhagen
39. Malaisrie SC, Pelletier MP, Yun JJ, Sharma K, Timek TA, Rosenthal DN, Wright GE, Robbins RC, Reitz BA (2008) Pneumatic paracorporeal ventricular assist device in infants and children: initial stanford experience. J Heart Lung Transplant 27(2):173–177
40. Marsden AL, Feinstein JA, Taylor CA (2008) A computational framework for derivative-free optimization of cardiovascular geometries. Comput Meth Appl Mech Eng 197(21–24):1890–1905
41. Marsden AL, Wang M, Jr Dennis JE, Moin P (2004) Optimal aeroacoustic shape design using the surrogate management framework. Optim Eng 5(2):235–262 Special issue: surrogate optimization
42. Marsden AL, Wang M, Dennis JE Jr, Moin P (2004) Suppression of airfoil vortex-shedding noise via derivative-free optimization. Phys Fluids 16(10):L83–L86
43. Marsden AL, Wang M, Dennis JE Jr, Moin P (2007) Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation. J Fluid Mech 572:13–36
44. Miller LW (2011) Left ventricular assist devices are underutilized. Circulation 123:15528
45. Narracott A, Smith S, Lawford P, Liu H, Himeno R, Wilkinson I, Griffiths P, Hose R (2005) Development and validation of models for the investigation of blood clotting in idealized stenoses and cerebral aneurysms. Int J Artif Organs 8:56–62
46. Ortega JM, Hartman J, Rodriguez JN, Maitland DJ (2013) Virtual treatment of basilar aneurysms using shape memory polymer foam. Ann Biomed Eng 41:725–743
47. Rayz V, Boussel L, Ge L, Leach J, Martin A, Lawton M, McCulloch C, Saloner D (2010) Flow residence time and regions of intraluminal thrombus deposition in intracranial aneurysms. Ann Biomed Eng 38:3058–3069
48. Reininger A, Reininger C, Heinzmann U, Wurzinger L (1995) Residence time in niches of stagnant flow determines fibrin clot formation in arterial branching model-detailed flow analysis and experimental results. Thromb Haemost 74:916–922
49. Rockett SR, Bryant JC, Morrow WR, Frazier EA, Fiser WP, McKamie WA, Johnson CE, Chipman CW, Imamura M, Jaquiss RD (2008) Preliminary single center north american experience with the berlin heart pediatric excor device. ASAIO J 54(5):479–482
50. Serafini DB (1998) A framework for managing models in nonlinear optimization of computationally expensive functions. PhD thesis, Rice University, Houston
51. Simpson TW, Korte JJ, Mauery TM, Mistree F (1998) Comparison of response surface and kriging models for multidisciplinary design optimization. AIAA Paper 98–4755
52. Takizawa K, Bazilevs Y, Tezduyar TE (2012) Space-time and ALE–VMS techniques for patient-specific cardiovascular fluid–structure interaction modeling. Arch Comput Methods Eng 19:171–225
53. Takizawa K, Christopher J, Tezduyar TE, Sathe S (2010) Space-time finite element computation of arterial fluid–structure interactions with patient-specific data. Int J Numer Methods Biomed Eng 26:101–116
54. Takizawa K, Fritze M, Montes D, Spielman T, Tezduyar TE (2012) Fluid–structure interaction modeling of ringsail parachutes with disreefing and modified geometric porosity. Comput Mech 50:835–854
55. Takizawa K, Montes D, Fritze M, McIntyre S, Boben J, Tezduyar TE (2013) Methods for FSI modeling of spacecraft parachute dynamics and cover separation. Math Models Methods Appl Sci 23:307–338
56. Takizawa K, Moorman C, Wright S, Purdue J, McPhail T, Chen PR, Warren J, Tezduyar TE (2011) Patient-specific arterial fluid–structure interaction modeling of cerebral aneurysms. Int J Numer Meth Fluids 65:308–323
57. Takizawa K, Takagi H, Tezduyar TE, Torii R (2013) Estimation of element-based zero-stress state for arterial FSI computations. Comput Mech. doi:10.1007/s00466-013-0919-7
58. Takizawa K, Tezduyar TE (2011) Multiscale space-time fluid–structure interaction techniques. Comput Mech 48:247–267
59. Takizawa K, Tezduyar TE (2012) Space-time fluid–structure interaction methods. Math Models Methods Appl Sci 22(supp02):1230001
60. Takizawa K, Tezduyar TE, Boben J, Kostov N, Boswell C, Buscher A (2013) Fluid–structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity. Comput Mech. doi:10.1007/s00466-013-0880-5
61. Tezduyar TE, Sathe S (2007) Modeling of fluid–structure interactions with the space-time finite elements: solution techniques. Int J Numer Methods Fluids 54:855–900
62. Tezduyar TE, Sathe S, Pausewang J, Schwaab M, Christopher J, Crabtree J (2008) Interface projection techniques for fluid–structure interaction modeling with moving-mesh methods. Comput Mech 43:39–49
63. Tezduyar TE, Schwaab M, Sathe S (2009) Sequentially-coupled arterial fluid–structure interaction (SCAFSI) technique. Comput Methods Appl Mech Eng 198:3524–3533
64. Tezduyar TE, Takizawa K, Brummer T, Chen PR (2011) Space-time fluid–structure interaction modeling of patient-specific cerebral aneurysms. Int J Numer Methods Biomed Eng 27:1665–1710
65. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Multiscale sequentially-coupled arterial FSI technique. Comput Mech 46:17–29
66. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Space-time finite element computation of complex fluid–structure interactions. Int J Numer Methods Fluids 64:1201–1218
67. Torczon V (1997) On the convergence of pattern search algorithms. SIAM J Optim 7:1–25
68. Yang W, Feinstein JA, Marsden AL (2010) Constrained optimization of an idealized Y-shaped baffle for the Fontan surgery at rest and exercise. Comput Methods Appl Mech Eng 199:2135–2149