A computational framework for derivative-free optimization of cardiovascular geometries

Computer Methods in Applied Mechanics and Engineering - Tập 197 - Trang 1890-1905 - 2008
Alison L. Marsden1, Jeffrey A. Feinstein2, Charles A. Taylor3
1Mechanical and Aerospace Engineering, University of California, San Diego, USA
2Pediatrics Department, Stanford University, USA
3Bioengineering Department, Stanford University, USA

Tài liệu tham khảo

Abraham, 2005, Shape optimization in steady blood flow: a numerical study of non-Newtonian effects, Comput. Meth. Biomech. Biomed. Engrg., 8, 127, 10.1080/10255840500180799 Abraham, 2005, Shape optimization in unsteady blood flow: a numerical study of non-Newtonian effects, Comput. Meth. Biomech. Biomed. Engrg., 8, 201, 10.1080/10255840500309562 Agoshkov, 2006, Shape design in aorto-coronaric bypass using perturbation theory, SIAM J. Numer. Anal., 44, 367, 10.1137/040613287 Agoshkov, 2006, A mathematical approach in the design of arterial bypass anastomoses using unsteady Stokes equations, J. Scient. Comput., 28, 139, 10.1007/s10915-006-9077-9 Antaki, 1995, Computational flow optimization of rotary blood pump components, Art. Org., 19, 608, 10.1111/j.1525-1594.1995.tb02389.x Audet, 2003, Analysis of generalized pattern searches, SIAM J. Opt., 13, 889, 10.1137/S1052623400378742 Audet, 2004, A pattern search filter method for nonlinear programming without derivatives, SIAM J. Opt., 14, 980, 10.1137/S105262340138983X Audet, 2006, Mesh adaptive direct search algorithms for constrained optimization, SIAM J. Opt., 17, 2, 10.1137/040603371 Booker, 1999, A rigorous framework for optimization of expensive functions by surrogates, Struct. Opt., 17, 1, 10.1007/BF01197708 Burgreen, 2001, Computational fluid dynamics as a development tool for rotary blood pumps, Art. Org., 25, 336, 10.1046/j.1525-1594.2001.025005336.x Burgreen, 1996, Three-dimensional aerodynamic shape optimization using discrete sensitivity analysis, AIAA J., 34, 1761, 10.2514/3.13305 Castro, 2006, Computational fluid dynamics modeling of intracranial aneurysms: effects of parent artery segmentation on intra-aneurysmal hemodynamics, AJNR Am. J. Neuroradiol., 27, 1703 Cebral, 2002, Blood flow modeling in carotid arteries with computational fluid dynamics and MR imaging, Acad. Radiol., 9, 1286, 10.1016/S1076-6332(03)80562-7 Davis, 1954, Theory of positive linear dependence, Am. J. Math., 448 Elliot, 1997, Practical 3D aerodynamic design and optimization using unstructured meshes, AIAA J., 35, 1479, 10.2514/2.271 J. Elliot, J. Peraire, Progress towards a 3D aerodynamic shape optimization tool for the compressible high-Re Navier–Stokes equations discretized on unstructured meshes, AIAA Paper 98–2897 (1998) . Figueroa, 2006, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Comput. Meth. Appl. Mech. Engrg., 195, 5685, 10.1016/j.cma.2005.11.011 Fletcher, 2002, Nonlinear programming without a penalty function, Math. Program., 91, 239, 10.1007/s101070100244 Formaggia, 2002, Numerical treatment of defective boundary conditions for the Navier–Stokes equations, SIAM J. Numer. Anal., 40, 376, 10.1137/S003614290038296X Gerbeau, 2005, Fluid-structure interaction in blood flows on geometries coming from medical imaging, Comput. Struct., 83, 155, 10.1016/j.compstruc.2004.03.083 Grigioni, 2006, Power dissipation associated with surgical operations’ hemodynamics: critical issues and application to the total cavopulmonary connection, J. Biomech., 39, 1583, 10.1016/j.jbiomech.2006.04.008 Hofer, 1996, Numerical study of wall mechanics and fluid dynamics in end-to-side anastomoses and correlation to intimal hyperplasia, J. Biomech., 29, 1297, 10.1016/0021-9290(96)00036-X Jameson, 1988, Aerodynamic design via control theory, J. Sci. Comput., 3, 233, 10.1007/BF01061285 Jameson, 1998, Optimum aerodynamic design using the Navier–Stokes equations, Theoret. Comp. Fluid Dynam., 10, 213, 10.1007/s001620050060 Jansen, 2000, A generalized-alpha method for integrating the filtered Navier Stokes equations with a stabilized finite element method, Comput. Meth. Appl. Mech. Engrg., 190, 305, 10.1016/S0045-7825(00)00203-6 Jones, 1990, Abnormal arterial flow pattern in untreated essential hypertension: possible link with the development of atherosclerosis, Clin. Sci. (Lond), 78, 431, 10.1042/cs0780431 Jou, 2003, Computational approach to quantifying hemodynamic forces in giant cerebral aneurysms, AJNR Am. J. Neuroradiol., 24, 1804 Khunatorn, 2002, Influence of connection geometry and SVC-IVC flow rate ratio on flow structures within the total cavopulmonary connection: a numerical study, J. Biomech. Engrg., 124, 364, 10.1115/1.1487880 Ku, 2002, In vivo validation of numerical predictions of blood flow in arterial bypass grafts, Ann. Biomed. Engrg., 30, 743, 10.1114/1.1496086 Ku, 2005, Comparison of CFD and MRI flow and velocities in an in vitro large artery bypass graft model, Ann. Biomed. Engrg., 33, 257, 10.1007/s10439-005-1729-7 LaDisa, 2004, Stent design properties and deployment ratio influence indices of wall shear stress: a 3D computational fluid dynamics investigation within a normal artery, J. Appl. Physiol., 97, 424, 10.1152/japplphysiol.01329.2003 LaDisa, 2005, Alterations in wall shear stress predict sites of neointimal hyperplasia after stent implantation in rabbit iliac arteries, Am. J. Physiol. Heart Circ. Physiol., 288, H2465, 10.1152/ajpheart.01107.2004 Lagana, 2002, Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures, Biorheology, 39, 359 Lehnhäuser, 2005, A numerical approach for shape optimization of fluid flow domains, CMAME, 194, 5221 Lei, 2001, Pulsatile flow in an end-to-side vascular graft model: comparison of computations with experimental data, J. Biomech. Engrg., 123, 80, 10.1115/1.1336145 Leuprecht, 2002, Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts, J. Biomech., 35, 225, 10.1016/S0021-9290(01)00194-4 R.M. Lewis and V. Torczon, 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, Virginia 23681–2199, 1996. Lewis, 1999, Pattern search algorithms for bound constrained minimization, SIAM J. Opt., 9, 1082, 10.1137/S1052623496300507 Lewis, 2000, Pattern search methods for linearly constrained minimization, SIAM J. Opt., 10, 917, 10.1137/S1052623497331373 Lewis, 2002, A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds, SIAM J. Opt., 12, 1075, 10.1137/S1052623498339727 Lophaven, 2002 Loth, 2002, Relative contribution of wall shear stress and injury in experimental intimal thickening at PTFE end-to-side arterial anastomoses, J. Biomech. Engrg., 124, 44, 10.1115/1.1428554 Marsden, 2007, Effects of exercise and respiration on hemodynamic efficiency in CFD simulations of the total cavopulmonary connection, Ann. Biomed. Engrg., 35, 250, 10.1007/s10439-006-9224-3 Marsden, 2004, Optimal aeroacoustic shape design using the surrogate management framework, Opt. Engrg., 5, 235, 10.1023/B:OPTE.0000033376.89159.65 Marsden, 2004, Suppression of airfoil vortex-shedding noise via derivative-free optimization, Phys. Fluid., 16, L83, 10.1063/1.1786551 Marsden, 2007, Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation, J. Fluid Mech., 572, 13, 10.1017/S0022112006003235 McKay, 1979, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, 21, 239, 10.2307/1268522 Migliavacca, 1999, Computational fluid dynamic simulations of cavopulmonary connections with an extracardiac lateral conduit, Med. Engrg. Phys., 21, 187, 10.1016/S1350-4533(99)00042-9 Migliavacca, 2003, Computational fluid dynamics simulations in realistic 3-D geometries of the total cavopulmonary anastomosis: the influence of the inferior caval anastomosis, J. Biomech. Engrg., 125, 805, 10.1115/1.1632523 Milner, 1998, Hemodynamics of human carotid artery bifurcations: Computational studies with models reconstructed from magnetic resonance imaging of normal subjects, J. Vascul. Surg., 28, 143, 10.1016/S0741-5214(98)70210-1 Moore, 1999, Accuracy of computational hemodynamics in complex arterial geometries reconstructed from magnetic resonance imaging, Ann. Biomed. Engrg., 27, 32, 10.1114/1.163 Murray, 1926, The physiological principle of minimum work applied to the angle of branching of arteries, J. Gen. Physiol., 9, 835, 10.1085/jgp.9.6.835 Murray, 1926, The physiological principle of minimum work. I. The vascular system and the cost of blood volume, P. Natl. Acad. Sci. USA, 12, 207, 10.1073/pnas.12.3.207 J. Newman and A. Taylor, Three-dimensional aerodynamic shape sensitivity analysis and design optimization using the euler equations on unstructured grids, AIAA Paper 96–2464, 1996. Passerini, 2004, Coexisting proinflammatory and antioxidative endothelial transcription profiles in a disturbed flow region of the adult porcine aorta, Proc. Natl. Acad. Sci. USA, 101, 2482, 10.1073/pnas.0305938101 Perktold, 1998, Validated computation of physiologic flow in a realistic coronary artery branch, J. Biomech., 31, 217, 10.1016/S0021-9290(97)00118-8 Perktold, 2002, Fluid dynamics, wall mechanics, and oxygen transfer in peripheral bypass anastomoses, Ann. Biomed. Engrg., 30, 447, 10.1114/1.1477445 Perktold, 1995, Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model, J. Biomech., 28, 845, 10.1016/0021-9290(95)95273-8 Quarteroni, 2003, Optimal control and shape optimization in aorto-coronaric bypass anastomoses, Math. Model. Meth. Appl. Sci., 13, 1801, 10.1142/S0218202503003124 Rozza, 2005, On optimization control and shape design for an arterial bypass, Int. J. Numer. Meth. Fluid., 47, 1411, 10.1002/fld.888 D.B. Serafini. A Framework for Managing Models in Nonlinear Optimization of Computationally Expensive Functions. PhD thesis, Rice University, Houston, TX, 1998. Shojima, 2004, Magnitude and role of wall shear stress on cerebral aneurysm: computational fluid dynamic study of 20 middle cerebral artery aneurysms, Stroke, 35, 2500, 10.1161/01.STR.0000144648.89172.0f Steinman, 2002, Image-based computational fluid dynamics modeling in realistic arterial geometries, Ann. Biomed. Engrg., 30, 483, 10.1114/1.1467679 Steinman, 2005, Flow imaging and computing: large artery hemodynamics, Ann. Biomed. Engrg., 33, 1704, 10.1007/s10439-005-8772-2 Strandness, 2002 Taber, 1998, An optimization principle for vascular radius including the effects of smooth muscle tone, Biophys. J., 74, 109, 10.1016/S0006-3495(98)77772-0 Tang, 2006, Abdominal aortic hemodynamics in young healthy adults at rest and during lower limb exercise: quantification using image-based computer modeling, Am. J. Physiol. Heart Circ. Physiol., 291, H668, 10.1152/ajpheart.01301.2005 Taylor, 2004, Experimental and computational methods in cardiovascular fluid mechanics, Annu. Rev. Fluid. Mech., 36, 197, 10.1146/annurev.fluid.36.050802.121944 Taylor, 1999, Predictive medicine: computational techniques in therapeutic decision-making, Comput. Aid. Surg., 4, 231, 10.3109/10929089909148176 Taylor, 1996, Computational investigations in vascular disease, Comput. Phys., 10, 224, 10.1063/1.4822390 Taylor, 1998, Finite element modeling of 3-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis, Ann. Biomed. Engrg., 26, 1, 10.1114/1.140 Taylor, 1998, Finite element modeling of blood flow in arteries, Comput. Meth. Appl. M., 158, 155, 10.1016/S0045-7825(98)80008-X Taylor, 1999, Effect of exercise on hemodynamic conditions in the abdominal aorta, J. Vas. Surg., 29, 1077, 10.1016/S0741-5214(99)70249-1 Torczon, 1997, On the convergence of pattern search algorithms, SIAM J. Opt., 7, 1, 10.1137/S1052623493250780 Vignon-Clementel, 2006, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Comput. Meth. Appl. M., 195, 3776, 10.1016/j.cma.2005.04.014 Wang, 1999, Level sets for vascular model construction in computational hemodynamics, IEEE Engrg. Med. Biol., 18, 33, 10.1109/51.805142 Wilson, 2001, A software framework for creating patient specific geometric models from medical imaging data for simulation based medical planning of vascular surgery, Lect. Notes Comput. Sci., 2208, 449, 10.1007/3-540-45468-3_54 Zamir, 1977, Shear forces and blood vessel radii in the cardiovascular system, J. Gen. Physiol., 69, 449, 10.1085/jgp.69.4.449 Zarins, 1983, Carotid bifurcation atherosclerosis. quantitative correlation of plaque localization with flow velocity profiles and wall shear stress, Circ. Res., 53, 502, 10.1161/01.RES.53.4.502