Inverse modelling of an aneurysm's stiffness using surrogate-based optimization and fluid-structure interaction simulations

Structural and Multidisciplinary Optimization

Volumn 46, Issue 3, 2012, Pages 457-469

  Degroote, Joris ^a   Couckuyt, Ivo ^a   Vierendeels, Jan ^a   Segers, Patrick ^a   Dhaene, Tom ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Aneurysm; Expected improvement; Fluid structure interaction; Inverse problem; Parameter identification; Surrogate model

Indexed keywords

ANEURYSM; ARTERIAL TISSUE; ARTERIAL WALL; EXPECTED IMPROVEMENTS; FORWARD SIMULATION; FUNCTION OF TIME; INVERSE MODELLING; KRIGING MODEL; STIFFNESS PARAMETERS; SURROGATE MODEL; SURROGATE-BASED OPTIMIZATION; THREE-DIMENSIONAL MODEL; ZERO-DIMENSIONAL;

FLUID STRUCTURE INTERACTION; IDENTIFICATION (CONTROL SYSTEMS); INVERSE PROBLEMS; OPTIMIZATION; STIFFNESS; TISSUE;

THREE DIMENSIONAL;

EID: 84865400158     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-011-0751-7     Document Type: Article

References (33)

1. N Alexandrov J Dennis R Lewis V Torczon 1998 A trust region framework for managing the use of approximation models in optimization Struct Multidiscipl Optim 15 1 16 23 (Pubitemid 128647612)
2. M Astorino JF Gerbeau O Pantz KF Traore 2009 Fluid-structure interaction and multi-body contact: Application to aortic valves Comput Methods Appl Mech Eng 198 45-46 3603 3612 2571824 1229.74095 10.1016/j.cma.2008.09.012
3. Bonnans J, Gilbert J, Lemaréchal C, Sagastizábal C (2006) Numerical Optimization: Theoretical and Practical Aspects. Springer
4. P Causin JF Gerbeau F Nobile 2005 Added-mass effect in the design of partitioned algorithms for fluid-structure problems Comput Methods Appl Mech Eng 194 42-44 4506 4527 2157973 1101.74027 10.1016/j.cma.2004.12.005 (Pubitemid 41093701)
5. I Couckuyt F Declercq T Dhaene H Rogier L Knockaert 2010 Surrogate-based infill optimization applied to electromagnetic problems Int J RF Microw Comput-Aided Eng 20 5 492 501 10.1002/mmce.20455
6. N Cressie 1990 The origins of Kriging Math Geol 22 3 239 252 1047810 0964.86511 10.1007/BF00889887
7. J Degroote P Bruggeman R Haelterman J Vierendeels 2008 Stability of a coupling technique for partitioned solvers in FSI applications Comput Struct 86 23-24 2224 2234 10.1016/j.compstruc.2008.05.005
8. J Degroote KJ Bathe J Vierendeels 2009 Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction Comput Struct 87 11-12 793 801 10.1016/j.compstruc.2008.11.013
9. J Degroote S Annerel J Vierendeels 2010 Stability analysis of Gauss-Seidel iterations in a partitioned simulation of fluid-structure interaction Comput Struct 88 5-6 263 270 10.1016/j.compstruc.2009.09.003
10. J Degroote R Haelterman S Annerel P Bruggeman J Vierendeels 2010 Performance of partitioned procedures in fluid-structure interaction Comput Struct 88 7-8 446 457 10.1016/j.compstruc.2009.12.006
11. Forrester A, Sobester A, Keane A (2008) Engineering Design via Surrogate Modelling: A Practical Guide. Wiley, New York
12. M Gee C Förster W Wall 2010 A computational strategy for prestressing patient-specific biomechanical problems under finite deformation Int J Numer Methods Biomed Eng 26 1 52 72 1180.92009 10.1002/cnm.1236
13. T Goel R Haftka W Shyy N Queipo 2007 Ensemble of surrogates Struct Multidiscipl Optim 33 3 199 216 10.1007/s00158-006-0051-9 (Pubitemid 46198778)
14. D Gorissen I Couckuyt P Demeester T Dhaene K Crombecq 2010 A surrogate modeling and adaptive sampling toolbox for computer based design J Mach Learn Res 11 2051 2055
15. R Haftka 1991 Combining global and local approximations AIAA J 29 9 1523 1525 10.2514/3.10768
16. D Jones C Perttunen B Stuckman 1993 Lipschitzian optimization without the Lipschitz constant J Optim Theory Appl 79 1 157 181 1246501 0796.49032 10.1007/BF00941892
17. D Jones M Schonlau W Welch 1998 Efficient global optimization of expensive black-box functions J Glob Optim 13 4 455 492 1673460 0917.90270 10.1023/A:1008306431147 (Pubitemid 128507405)
18. U Küttler M Gee C Förster A Comerford W Wall 2010 Coupling strategies for biomedical fluid-structure interaction problems Int J Numer Methods Biomed Eng 26 3-4 305 321 2655867 1183.92008 10.1002/cnm.1281
19. PY Lagrée 2000 An inverse technique to deduce the elasticity of a large artery Eur Phys J, Appl Phys 9 2 153 163 10.1051/epjap:2000213
20. V Martin F Clément A Decoene JF Gerbeau 2005 Parameter identification for a one-dimensional blood flow model ESAIM, Proc 14 174 200 1070.92015
21. B Minasny A McBratney 2005 The Matérn function as a general model for soil variograms Geoderma 128 3-4 192 207 10.1016/j.geoderma.2005.04.003 (Pubitemid 41127228)
22. Mockus J, Tiesis V, Zilinskas A (1978) The application of Bayesian methods for seeking the extremum. In: Dixon L, Szego G (eds) Towards global optimization, 2nd edn. North-Holland, Amsterdam, The Netherlands, pp 117-130
23. YS Ong P Nair A Keane 2003 Evolutionary optimization of computationally expensive problems via surrogate modeling AIAA J 41 4 687 696 10.2514/2.1999
24. T Parlikar T Heldt G Verghese 2006 Cycle-averaged models of cardiovascular dynamics IEEE Trans Circuits Syst-I 53 11 2459 2468 2369911 10.1109/TCSI.2006.884457 (Pubitemid 44824325)
25. N Queipo R Haftka W Shyy T Goel R Vaidyanathana P Tucker 2005 Surrogate-based analysis and optimization Prog Aerosp Sci 41 1 1 28 10.1016/j.paerosci.2005.02.001 (Pubitemid 40537187)
26. E Rietzschel E Boeykens M De Buyzere D Duprez D Clement 2001 A comparison between systolic and diastolic pulse contour analysis in the evaluation of arterial stiffness Hypertension 37 6 15 22 10.1161/01.HYP.37.6.e15
27. T Robinson M Eldred K Willcox R Haimes 2008 Surrogate-based optimization using multifidelity models with variable parameterization and corrected space mapping AIAA J 46 11 2814 2822 10.2514/1.36043
28. Roustant O, Ginsbourger D, Deville Y (2010) Dicekriging, diceoptim: two r packages for the analysis of computer experiments by kriging-based metamodeling and optimization. http://hal.archives-ouvertes.fr/hal-00495766
29. J Sacks W Welch T Mitchell H Wynn 1989 Design and analysis of computer experiments Stat Sci 4 4 409 435 1041765 0955.62619 10.1214/ss/1177012413
30. S Sakata F Ashida M Zako 2007 On applying Kriging-based approximate optimization to inaccurate data Comput Methods Appl Mech Eng 196 13-16 2055 2069 1173.74377 10.1016/j.cma.2006.11.004 (Pubitemid 46118014)
31. E van Dam B Husslage D den Hertog H Melissen 2007 Maximin Latin hypercube designs in two dimensions Oper Res 55 1 158 169 2290894 1167.05303 10.1287/opre.1060.0317 (Pubitemid 46663480)
32. Viana F (2010) Surrogates Toolbox User's Guide. Gainesville, FL, USA. http://sites.google.com/site/felipeacviana/surrogatestoolbox
33. Z Zhou YS Ong P Nair A Keane K Lum 2007 Combining global and local surrogate models to accelerate evolutionary optimization IEEE Trans Syst Man Cybern, Part C 37 1 66 76 10.1109/TSMCC.2005.855506 (Pubitemid 46002490)