Adaptive surrogate modeling for expedited estimation of nonlinear tissue properties through inverse finite element analysis

Annals of Biomedical Engineering

Volumn 39, Issue 9, 2011, Pages 2388-2397

  Halloran, Jason P ^a   Erdemir, Ahmet ^a  

^a LERNER RESEARCH INSTITUTE   (United States)

Author keywords

Computer simulation; Finite element modeling; Inverse modeling; Optimization; Plantar tissue; Tissue mechanics

Indexed keywords

BIOMECHANICAL BEHAVIOR; COMPUTATIONAL COSTS; ERROR ESTIMATES; FE ANALYSIS; FE-SIMULATION; FINITE ELEMENT MODELING; FINITE ELEMENT MODELS; INITIAL CONDITIONS; INVERSE ANALYSIS; INVERSE FINITE ELEMENT ANALYSIS; INVERSE MODELING; LOCAL OPTIMIZATIONS; LOCAL REGRESSION; NON-LINEAR FE; NONLINEAR ELASTIC MATERIALS; PARAMETER PREDICTION; PLANTAR TISSUE; SIMULATION-BASED; SURROGATE MODEL; SURROGATE MODELING; TISSUE MECHANICS; TISSUE PROPERTIES; TOLERANCE VALUES;

BIOMECHANICS; COMPUTER SIMULATION; COST BENEFIT ANALYSIS; FUEL ADDITIVES; GLOBAL OPTIMIZATION; INVERSE PROBLEMS; NONLINEAR ANALYSIS; OPTIMIZATION; STRUCTURAL ANALYSIS; TISSUE;

FINITE ELEMENT METHOD;

ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HEEL; HUMAN; NONLINEAR SYSTEM;

COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HEEL; HUMANS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS;

EID: 80051552992     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-011-0317-2     Document Type: Article

References (31)

1. CG Atkeson AW Moore S Schaal 1997 Locally weighted learning Artif. Intell. Rev. 11 11 73 10.1023/A:1006559212014 (Pubitemid 127508233)
2. Birattari, M., G. Bontempi, and H. Bersini. Lazy learning meets the recursive least squares algorithm. In: Advances in Neural Information Processing Systems, Vol. 11, edited by M. S. Kearns, S. A. Solla, and D. A. Cohn. Cambridge, MA: MIT Press, 1999, pp. 375-381.
3. TD Brown HJ Lundberg DR Pedersen JJ Callaghan 2009 2009 Nicolas Andry Award: clinical biomechanics of third body acceleration of total hip wear Clin. Orthop. Relat. Res. 467 1885 1897 19399565 10.1007/s11999-009-0854-2
4. LHC Cevidanes S Tucker M Styner H Kim J Chapuis M Reyes W Proffit T Turvey M Jaskolka 2010 Three-dimensional surgical simulation Am. J. Orthod. Dentofac. Orthop. 138 361 371 10.1016/j.ajodo.2009.08.026
5. K Chen B Fata DR Einstein 2008 Characterization of the highly nonlinear and anisotropic vascular tissues from experimental inflation data: a validation study toward the use of clinical data for in-vivo modeling and analysis Ann. Biomed. Eng. 36 1668 1680 18663577 10.1007/s10439-008-9541-9
6. DR Einstein AD Freed N Stander B Fata I Vesely 2005 Inverse parameter fitting of biological tissues: a response surface approach Ann. Biomed. Eng. 33 1819 1830 16389530 10.1007/s10439-005-8338-3 (Pubitemid 43037552)
7. A Erdemir PA Sirimamilla JP Halloran AJ van den Bogert 2009 An elaborate data set characterizing the mechanical response of the foot J. Biomech. Eng. 131 094502 19725699 10.1115/1.3148474
8. A Erdemir ML Viveiros JS Ulbrecht PR Cavanagh 2006 An inverse finite-element model of heel-pad indentation J. Biomech. 39 1279 1286 15907330 10.1016/j.jbiomech.2005.03.007
9. MJ Fagan S Julian AM Mohsen 2002 Finite element analysis in spine research Proc. Inst. Mech. Eng. H 216 281 298 12365787 1:STN:280: DC%2BD38ngvV2lsg%3D%3D
10. N Famaey J Vander Sloten 2008 Soft tissue modelling for applications in virtual surgery and surgical robotics Comput. Methods Biomech. Biomed. Eng. 11 351 366 10.1080/10255840802020412
11. LG Gilbertson VK Goel WZ Kong JD Clausen 1995 Finite element methods in spine biomechanics research Crit. Rev. Biomed. Eng. 23 411 473 9017345 1:STN:280:DyaK2s7mvFOqtQ%3D%3D
12. WL Goffe GD Ferrier J Rogers 1994 Global optimization of statistical functions with simulated annealing J. Econom. 60 65 99 10.1016/0304-4076(94) 90038-8
13. JP Halloran SK Easley AJ Petrella PJ Rullkoetter 2005 Comparison of deformable and elastic foundation finite element simulations for predicting knee replacement mechanics J. Biomech. Eng. 127 813 818 16248311 10.1115/1.1992522 (Pubitemid 41374641)
14. JP Halloran A Erdemir AJ van den Bogert 2009 Adaptive surrogate modeling for efficient coupling of musculoskeletal control and tissue deformation models J. Biomech. Eng. 131 011014 19045930 10.1115/1.3005333
15. Halloran, J. P., J. D. Frampton, and A. Erdemir. Adaptive surrogate modeling for cost-effective determination of nonlinear tissue properties. In: The Annual Meeting for the American Society of Biomechanics, State College, PA, 2009. See http://asbweb.org/conferences/2009/pdf/945.pdf (accessed March 2, 2011).
16. R Huiskes SJ Hollister 1993 From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics J. Biomech. Eng. 115 520 527 8302035 10.1115/1.2895534 1:STN:280:DyaK2c7jtlKntQ%3D%3D (Pubitemid 24000876)
17. P Jordan S Socrate TE Zickler RD Howe 2009 Constitutive modeling of porcine liver in indentation using 3D ultrasound imaging J. Mech. Behav. Biomed. Mater. 2 192 201 19627823 10.1016/j.jmbbm.2008.08.006 1:STN:280: DC%2BD1MrgsVGrsg%3D%3D
18. Kennedy, J., and R. Eberhart. Particle swarm optimization. In: Proceedings IEEE International Conference on Neural Networks, Perth, WA, Australia, 1995, Vol. 4, pp. 1942-1948.
19. JE Langenderfer PJ Laz AJ Petrella PJ Rullkoetter 2008 An efficient probabilistic methodology for incorporating uncertainty in body segment parameters and anatomical landmarks in joint loadings estimated from inverse dynamics J. Biomech. Eng. 130 014502 18298193 10.1115/1.2838037 (Pubitemid 351974971)
20. PJ Laz S Pal JP Halloran AJ Petrella PJ Rullkoetter 2006 Probabilistic finite element prediction of knee wear simulator mechanics J. Biomech. 39 2303 2310 16185700 10.1016/j.jbiomech.2005.07.029 (Pubitemid 44223539)
21. F Lei AZ Szeri 2007 Inverse analysis of constitutive models: biological soft tissues J. Biomech. 40 936 940 16730739 10.1016/j.jbiomech.2006.03.014 (Pubitemid 46273464)
22. Y Lin RT Haftka NV Queipo BJ Fregly 2009 Two-dimensional surrogate contact modeling for computationally efficient dynamic simulation of total knee replacements J. Biomech. Eng. 131 041010 19275439 10.1115/1.3005152
23. HR Malone ON Syed MS Downes AL D'Ambrosio DO Quest MG Kaiser 2010 Simulation in neurosurgery: a review of computer-based simulation environments and their surgical applications Neurosurgery 67 1105 1116 20881575 10.1227/NEU.0b013e3181ee46d0
24. S Misra KT Ramesh AM Okamura 2008 Modeling of tool-tissue interactions for computer-based surgical simulation: a literature review Presence (Camb.) 17 463
25. Ogden, R. W. Non-Linear Elastic Deformations. New York: Courier Dover Publications, 1997.
26. K Schittkowski 1986 NLPQL: a FORTRAN subroutine solving constrained nonlinear programming problems Ann. Oper. Res. 5 485 500
27. J Schwartz M Denninger D Rancourt C Moisan D Laurendeau 2005 Modelling liver tissue properties using a non-linear visco-elastic model for surgery simulation Med. Image Anal. 9 103 112 15721226 10.1016/j.media.2004.11.002 (Pubitemid 40268390)
28. JA Snyman 2000 The LFOPC leap-frog algorithm for constrained optimization Comput. Math. Appl. 40 1085 1096 10.1016/S0898-1221(00)85018-X
29. F Vadakkumpadan H Arevalo AJ Prassl J Chen F Kickinger P Kohl G Plank N Trayanova 2010 Image-based models of cardiac structure in health and disease Wiley Interdiscip. Rev. Syst. Biol. Med. 2 489 506 20582162 10.1002/wsbm.76
30. K Zaw GR Liu B Deng KBC Tan 2009 Rapid identification of elastic modulus of the interface tissue on dental implants surfaces using reduced-basis method and a neural network J. Biomech. 42 634 641 19171345 10.1016/j.jbiomech.2008.12. 001
31. H Zhong T Peters 2007 A real time hyperelastic tissue model Comput. Methods Biomech. Biomed. Eng. 10 185 193 10.1080/10255840701292732