Analysis of spinal lumbar interbody fusion cage subsidence using Taguchi method, finite element analysis, and artificial neural network
Christopher John NASSAU, N. Scott LITOFSKY, Yuyi LIN
Analysis of spinal lumbar interbody fusion cage subsidence using Taguchi method, finite element analysis, and artificial neural network
Subsidence, when implant penetration induces failure of the vertebral body, occurs commonly after spinal reconstruction. Anterior lumbar interbody fusion (ALIF) cages may subside into the vertebral body and lead to kyphotic deformity. No previous studies have utilized an artificial neural network (ANN) for the design of a spinal interbody fusion cage. In this study, the neural network was applied after initiation from a Taguchi L18 orthogonal design array. Three-dimensional finite element analysis (FEA) was performed to address the resistance to subsidence based on the design changes of the material and cage contact region, including design of the ridges and size of the graft area. The calculated subsidence is derived from the ANN objective function which is defined as the resulting maximum von Mises stress (VMS) on the surface of a simulated bone body after axial compressive loading. The ANN was found to have minimized the bone surface VMS, thereby optimizing the ALIF cage given the design space. Therefore, the Taguchi-FEA-ANN approach can serve as an effective procedure for designing a spinal fusion cage and improving the biomechanical properties.
anterior lumbar interbody fusion (ALIF) / artificial neural network (ANN) / finite element / interbody cage / lumbar interbody fusion / subsidence / taguchi method
[1] |
Bagby G W. Arthrodesis by the distraction-compression method using a stainless steel implant. Orthopedics, 1988, 11(6): 931– 934
Pubmed
|
[2] |
Cain C M, Schleicher P, Gerlach R, Pflugmacher R, Scholz M, Kandziora F. A new stand-alone anterior lumbar interbody fusion device: biomechanical comparison with established fixation techniques. Spine, 2005, 30(23): 2631–2636
CrossRef
Pubmed
Google scholar
|
[3] |
Dietl R H J, Krammer M, Kettler A, Wilke H J, Claes L, Lumenta C B. Pullout test with three lumbar interbody fusion cages. Spine, 2002, 27(10): 1029–1036
CrossRef
Pubmed
Google scholar
|
[4] |
McAfee P C. Interbody fusion cages in reconstructive operations on the spine. Journal of Bone and Joint Surgery. American Volume, 1999, 81(6): 859–880
Pubmed
|
[5] |
Engels T A, Söntjens S H, Smit T H, Govaert L E. Time-dependent failure of amorphous polylactides in static loading conditions. Journal of Materials Science. Materials in Medicine, 2010, 21(1): 89–97
CrossRef
Pubmed
Google scholar
|
[6] |
Kandziora F, Pflugmacher R, Scholz M, Eindorf T, Schnake K J, Haas N P. Bioabsorbable interbody cages in a sheep cervical spine fusion model. Spine, 2004, 29(17): 1845–1856
CrossRef
Pubmed
Google scholar
|
[7] |
Smit T H, Engels T A, Wuisman P I, Govaert L E. Time-dependent mechanical strength of 70/30 Poly(L, DL-lactide): shedding light on the premature failure of degradable spinal cages. Spine, 2008, 33(1): 14–18
CrossRef
Pubmed
Google scholar
|
[8] |
Hackenberg L, Halm H, Bullmann V, Vieth V, Schneider M, Liljenqvist U. Transforaminal lumbar interbody fusion: A safe technique with satisfactory three to five year results. European Spine Journal, 2005, 14(6): 551–558
CrossRef
Pubmed
Google scholar
|
[9] |
Adam C, Pearcy M, McCombe P. Stress analysis of interbody fusion—Finite element modelling of intervertebral implant and vertebral body. Clinical Biomechanics (Bristol, Avon), 2003, 18(4): 265–272
CrossRef
Pubmed
Google scholar
|
[10] |
Jost B, Cripton P A, Lund T, Oxland T R, Lippuner K, Jaeger P, Nolte L P. Compressive strength of interbody cages in the lumbar spine: the effect of cage shape, posterior instrumentation and bone density. European Spine Journal, 1998, 7(2): 132–141
CrossRef
Pubmed
Google scholar
|
[11] |
Kim Y. Prediction of mechanical behaviors at interfaces between bone and two interbody cages of lumbar spine segments. Spine, 2001, 26(13): 1437–1442
CrossRef
Pubmed
Google scholar
|
[12] |
Lim T H, Kwon H, Jeon C H, Kim J G, Sokolowski M, Natarajan R, An H S, Andersson G B. Effect of endplate conditions and bone mineral density on the compressive strength of the graft-endplate interface in anterior cervical spine fusion. Spine, 2001, 26(8): 951–956
CrossRef
Pubmed
Google scholar
|
[13] |
Steffen T, Tsantrizos A, Aebi M. Effect of implant design and endplate preparation on the compressive strength of interbody fusion constructs. Spine, 2000, 25(9): 1077–1084
CrossRef
Pubmed
Google scholar
|
[14] |
Steffen T, Tsantrizos A, Fruth I, Aebi M. Cages: Designs and concepts. European Spine Journal, 2000, 9(Suppl 1): S89–S94
CrossRef
Pubmed
Google scholar
|
[15] |
Pearcy M J, Evans J H, O’Brien J P. The load bearing capacity of vertebral cancellous bone in interbody fusion of the lumbar spine. Engineering in Medicine, 1983, 12(4): 183–184
CrossRef
Pubmed
Google scholar
|
[16] |
Zander T, Rohlmann A, Klöckner C, Bergmann G. Effect of bone graft characteristics on the mechanical behavior of the lumbar spine. Journal of Biomechanics, 2002, 35(4): 491–497
CrossRef
Pubmed
Google scholar
|
[17] |
Belytschko T B, Andriacchi T P, Schultz A B, Galante J O. Analog studies of forces in the human spine: computational techniques. Journal of Biomechanics, 1973, 6(4): 361–371
CrossRef
Pubmed
Google scholar
|
[18] |
Belytschko T, Kulak R F, Schultz A B, Galante J O. Finite element stress analysis of an intervertebral disc. Journal of Biomechanics, 1974, 7(3): 277–285
CrossRef
Pubmed
Google scholar
|
[19] |
Kuslich S D, Ulstrom C L, Michael C J. The tissue origin of low back pain and sciatica: A report of pain response to tissue stimulation during operations on the lumbar spine using local anesthesia. Orthopedic Clinics of North America, 1991, 22(2): 181–187
Pubmed
|
[20] |
Linde F. Elastic and viscoelastic properties of trabecular bone by a compression testing approach. Danish Medical Bulletin, 1994, 41(2): 119–138
Pubmed
|
[21] |
Mizrahi J, Silva M J, Keaveny T M, Edwards W T, Hayes W C. Finite-element stress analysis of the normal and osteoporotic lumbar vertebral body. Spine, 1993, 18(Suppl 14): 2088–2096
CrossRef
Pubmed
Google scholar
|
[22] |
Fowlkes W Y, Creveling C M. Engineering methods for robust production design using Taguchi method in technology and product development. Reading: Addison-Wesley Longman, 1995
|
[23] |
Rao R S, Kumar C G, Prakasham R S, Hobbs P J. The Taguchi methodology as a statistical tool for biotechnological applications: a critical appraisal. Biotechnology Journal, 2008, 3(4): 510–523
CrossRef
Pubmed
Google scholar
|
[24] |
Dar F H, Meakin J R, Aspden R M. Statistical methods in finite element analysis. Journal of Biomechanics, 2002, 35(9): 1155–1161
CrossRef
Pubmed
Google scholar
|
[25] |
Chao C K, Hsu C C, Wang J L, Lin J. Increasing bending strength of tibial locking screws: Mechanical tests and finite element analyses. Clinical Biomechanics (Bristol, Avon), 2007, 22(1): 59–66
CrossRef
Pubmed
Google scholar
|
[26] |
Chao C K, Lin J, Putra S T, Hsu C C. A neurogenetic approach to a multiobjective design optimization of spinal pedicle screws. Journal of Biomechanical Engineering, 2010, 132(9): 091006
CrossRef
Pubmed
Google scholar
|
[27] |
Chen L H, Tai C L, Lee D M, Lai P L, Lee Y C, Niu C C, Chen W J. Pullout strength of pedicle screws with cement augmentation in severe osteoporosis: a comparative study between cannulated screws with cement injection and solid screws with cement pre-filling. BMC Musculoskeletal Disorders, 2011, 12(1): 33
CrossRef
Pubmed
Google scholar
|
[28] |
Hou S M, Hsu C C, Wang J L, Chao C K, Lin J. Mechanical tests and finite element models for bone holding power of tibial locking screws. Clinical Biomechanics (Bristol, Avon), 2004, 19(7): 738–745
CrossRef
Pubmed
Google scholar
|
[29] |
Hsu C C, Chao C K, Wang J L, Lin J. Multiobjective optimization of tibial locking screw design using a genetic algorithm: Evaluation of mechanical performance. Journal of Orthopaedic Research, 2006, 24(5): 908–916
CrossRef
Pubmed
Google scholar
|
[30] |
Hsu C C, Lin J, Chao C K. Comparison of multiple linear regression and artificial neural network in developing the objective functions of the orthopaedic screws. Computer Methods and Programs in Biomedicine, 2011, 104(3): 341–348
CrossRef
Pubmed
Google scholar
|
[31] |
Hsu W H, Chao C K, Hsu H C, Lin J, Hsu C C. Parametric study on the interface pullout strength of the vertebral body replacement cage using FEM-based Taguchi methods. Medical Engineering & Physics, 2009, 31(3): 287–294
CrossRef
Pubmed
Google scholar
|
[32] |
Hsu W H, Hsu C C, Chao C K, Tsai Y H, Hsu H C. Analysis of the compressive strength and subsidence of a vertebral body cage with Taguchi methods. Journal of the Chinese Institute of Engineers, 2010, 33(4): 541–550
CrossRef
Google scholar
|
[33] |
Lin C L, Yu J H, Liu H L, Lin C H, Lin Y S. Evaluation of contributions of orthodontic mini-screw design factors based on FE analysis and the Taguchi method. Clinical Biomechanics (Bristol, Avon), 2010, 43(11): 2174–2181
Pubmed
|
[34] |
Yang K, Teo E C, Fuss F K. Application of Taguchi method in optimization of cervical ring cage. Journal of Biomechanics, 2007, 40(14): 3251–3256
CrossRef
Pubmed
Google scholar
|
[35] |
Mitchell T M, Carbonell T J, Michalski R S, eds. Machine Learning: A Guide to Current Research. Norwell: Kluwer Academic Publishers, 1986
|
[36] |
Cybenko G. Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signals, and Systems, 1989, 2(4): 303–314
CrossRef
Google scholar
|
/
〈 | 〉 |