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Erschienen in: Engineering with Computers 2/2022

01.07.2020 | Original Article

Symbolic regression metamodel-based optimal design of patient-specific spinal implant (pedicle screw fixation)

Erschienen in: Engineering with Computers | Ausgabe 2/2022

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Abstract

Pedicle screw-rod insertion is a common surgical procedure used for treating degenerative spinal diseases. Optimized design of such implants is necessary to avoid undue strains at the bone–implant interface. In this work, ideal optimized implant design is defined as one for which the strain difference between intact bone and bone after implantation at six interfacial positions is zero. To achieve this, genetic programming (GP) based symbolic regression (SR) metamodels are built from limited data obtained from expensive but highly accurate finite element (FE) models. The FE models are generated from CT scan data. A cumulative objective function is expressed in terms of GP-based SR metamodels which is then combined with a genetic algorithm (GA) to predict patient-specific optimum implant designs.

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Literatur
1.
Zurück zum Zitat Moramarco VD, Palomar AP, Pappalettere C, Doblaré M (2010) An accurate validation of a computational model of a human lumbosacral segment. J Biomech 43:334–342CrossRef Moramarco VD, Palomar AP, Pappalettere C, Doblaré M (2010) An accurate validation of a computational model of a human lumbosacral segment. J Biomech 43:334–342CrossRef
2.
Zurück zum Zitat Jain P, Khan MR (2018) Biomechanical study of fused lumbar spine considering bone degeneracy using FEA. Arab J Sci Eng 43:1325–1334CrossRef Jain P, Khan MR (2018) Biomechanical study of fused lumbar spine considering bone degeneracy using FEA. Arab J Sci Eng 43:1325–1334CrossRef
3.
Zurück zum Zitat Russo CR, Lauretani F, Bandinelli S, Bartali B, Di Iorio A, Volpato S, Guralnik JM, Harris T, Ferrucci L (2003) Aging bone in men and women: beyond changes in bone mineral density. Osteoporos Int 14:531–538CrossRef Russo CR, Lauretani F, Bandinelli S, Bartali B, Di Iorio A, Volpato S, Guralnik JM, Harris T, Ferrucci L (2003) Aging bone in men and women: beyond changes in bone mineral density. Osteoporos Int 14:531–538CrossRef
4.
Zurück zum Zitat Riggs BL, Melton LJ III, Robb RA, Camp JJ, Atkinson EJ, Peterson JM, Rouleau PA, McCollough CH, Bouxsein ML, Khosla S (2004) Population-based study of age and sex differences in bone volumetric density, size, geometry, and structure at different skeletal sites. J Bone Miner Res 19:1945–1954CrossRef Riggs BL, Melton LJ III, Robb RA, Camp JJ, Atkinson EJ, Peterson JM, Rouleau PA, McCollough CH, Bouxsein ML, Khosla S (2004) Population-based study of age and sex differences in bone volumetric density, size, geometry, and structure at different skeletal sites. J Bone Miner Res 19:1945–1954CrossRef
5.
Zurück zum Zitat MacLeod AR, Simpson AHRW, Pankaj P (2016) Age-related optimization of screw placement for reduced loosening risk in locked plating. J Orthop Res 34:1856–1864CrossRef MacLeod AR, Simpson AHRW, Pankaj P (2016) Age-related optimization of screw placement for reduced loosening risk in locked plating. J Orthop Res 34:1856–1864CrossRef
6.
Zurück zum Zitat Reynolds KJ, Cleek TM, Mohtar AA, Hearn TC (2013) Predicting cancellous bone failure during screw insertion. J Biomech 46:1207–1210CrossRef Reynolds KJ, Cleek TM, Mohtar AA, Hearn TC (2013) Predicting cancellous bone failure during screw insertion. J Biomech 46:1207–1210CrossRef
7.
Zurück zum Zitat Inceoglu S, Ferrara L, McLain RF (2004) Pedicle screw fixation strength: pullout versus insertional torque. Spine J 4:513–518CrossRef Inceoglu S, Ferrara L, McLain RF (2004) Pedicle screw fixation strength: pullout versus insertional torque. Spine J 4:513–518CrossRef
8.
Zurück zum Zitat Yerby SA, Ehteshami JR, McLain RF (1997) Loading of pedicle screws within the vertebra. J Biomech 30:951–954CrossRef Yerby SA, Ehteshami JR, McLain RF (1997) Loading of pedicle screws within the vertebra. J Biomech 30:951–954CrossRef
9.
Zurück zum Zitat Chen S-I, Lin R-M, Chang C-H (2003) Biomechanical investigation of pedicle screw–vertebrae complex: a finite element approach using bonded and contact interface conditions. Med Eng Phys 25:275–282CrossRef Chen S-I, Lin R-M, Chang C-H (2003) Biomechanical investigation of pedicle screw–vertebrae complex: a finite element approach using bonded and contact interface conditions. Med Eng Phys 25:275–282CrossRef
10.
Zurück zum Zitat MacLeod AR, Pankaj P, Simpson AHRW (2012) Does screw–bone interface modelling matter in finite element analyses? J Biomech 45:1712–1716CrossRef MacLeod AR, Pankaj P, Simpson AHRW (2012) Does screw–bone interface modelling matter in finite element analyses? J Biomech 45:1712–1716CrossRef
11.
Zurück zum Zitat Kalita K, Dey P, Haldar S, Gao X-Z (2020) Optimizing frequencies of skew composite laminates with metaheuristic algorithms. Eng Comput 36:741–761CrossRef Kalita K, Dey P, Haldar S, Gao X-Z (2020) Optimizing frequencies of skew composite laminates with metaheuristic algorithms. Eng Comput 36:741–761CrossRef
12.
Zurück zum Zitat Kalita K, Dey P, Haldar S (2019) Robust genetically optimized skew laminates. Proc Inst Mech Eng Part C J Mech Eng Sci 233:146–159CrossRef Kalita K, Dey P, Haldar S (2019) Robust genetically optimized skew laminates. Proc Inst Mech Eng Part C J Mech Eng Sci 233:146–159CrossRef
13.
Zurück zum Zitat Hsu C-C, Chao C-K, Wang J-L, Lin J (2006) Multiobjective optimization of tibial locking screw design using a genetic algorithm: evaluation of mechanical performance. J Orthop Res 24:908–916CrossRef Hsu C-C, Chao C-K, Wang J-L, Lin J (2006) Multiobjective optimization of tibial locking screw design using a genetic algorithm: evaluation of mechanical performance. J Orthop Res 24:908–916CrossRef
14.
Zurück zum Zitat Kalita K, Nasre P, Dey P, Haldar S (2018) Metamodel based multi-objective design optimization of laminated composite plates. Struct Eng Mech 67:301–310 Kalita K, Nasre P, Dey P, Haldar S (2018) Metamodel based multi-objective design optimization of laminated composite plates. Struct Eng Mech 67:301–310
15.
Zurück zum Zitat Behera RR, Ghadai RK, Kalita K, Banerjee S (2016) Simultaneous prediction of delamination and surface roughness in drilling GFRP composite using ANN. Int J Plastics Technol 20:424–450CrossRef Behera RR, Ghadai RK, Kalita K, Banerjee S (2016) Simultaneous prediction of delamination and surface roughness in drilling GFRP composite using ANN. Int J Plastics Technol 20:424–450CrossRef
16.
Zurück zum Zitat Ragavendran U, Ghadai RK, Bhoi AK, Ramachandran M, Kalita K (2018) Sensitivity analysis and optimization of EDM process parameters. Trans Can Soc Mech Eng 43:13–25CrossRef Ragavendran U, Ghadai RK, Bhoi AK, Ramachandran M, Kalita K (2018) Sensitivity analysis and optimization of EDM process parameters. Trans Can Soc Mech Eng 43:13–25CrossRef
17.
Zurück zum Zitat Kalita K, Ragavendran U, Ramachandran M, Bhoi AK (2019) Weighted sum multi-objective optimization of skew composite laminates. Struct Eng Mech 69:21–31 Kalita K, Ragavendran U, Ramachandran M, Bhoi AK (2019) Weighted sum multi-objective optimization of skew composite laminates. Struct Eng Mech 69:21–31
19.
Zurück zum Zitat Gao M, Lei W, Wu Z, Liu D, Shi L (2011) Biomechanical evaluation of fixation strength of conventional and expansive pedicle screws with or without calcium based cement augmentation. Clin Biomech 26:238–244CrossRef Gao M, Lei W, Wu Z, Liu D, Shi L (2011) Biomechanical evaluation of fixation strength of conventional and expansive pedicle screws with or without calcium based cement augmentation. Clin Biomech 26:238–244CrossRef
20.
Zurück zum Zitat Biswas JK, Rana M, Majumder S, Karmakar SK, Roychowdhury A (2018) Effect of two-level pedicle-screw fixation with different rod materials on lumbar spine: a finite element study. J Orthopaed Sci 23:258–265CrossRef Biswas JK, Rana M, Majumder S, Karmakar SK, Roychowdhury A (2018) Effect of two-level pedicle-screw fixation with different rod materials on lumbar spine: a finite element study. J Orthopaed Sci 23:258–265CrossRef
21.
Zurück zum Zitat Shin DS, Lee K, Kim D (2007) Biomechanical study of lumbar spine with dynamic stabilization device using finite element method. Comput-Aided Des 39:559–567CrossRef Shin DS, Lee K, Kim D (2007) Biomechanical study of lumbar spine with dynamic stabilization device using finite element method. Comput-Aided Des 39:559–567CrossRef
22.
Zurück zum Zitat Tsuang Y-H, Chiang Y-F, Hung C-Y, Wei H-W, Huang C-H, Cheng C-K (2009) Comparison of cage application modality in posterior lumbar interbody fusion with posterior instrumentation_A finite element study. Med Eng Phys 31:565–570CrossRef Tsuang Y-H, Chiang Y-F, Hung C-Y, Wei H-W, Huang C-H, Cheng C-K (2009) Comparison of cage application modality in posterior lumbar interbody fusion with posterior instrumentation_A finite element study. Med Eng Phys 31:565–570CrossRef
23.
Zurück zum Zitat Hall SJ, Lysell D (1995) Basic biomechanics, vol 2. Mosby, St Louis Hall SJ, Lysell D (1995) Basic biomechanics, vol 2. Mosby, St Louis
24.
Zurück zum Zitat Nabhani F, Wake M (2002) Computer modelling and stress analysis of the lumbar spine. J Mater Process Technol 127:40–47CrossRef Nabhani F, Wake M (2002) Computer modelling and stress analysis of the lumbar spine. J Mater Process Technol 127:40–47CrossRef
25.
Zurück zum Zitat Majumder S, Roychowdhury A, Pal S (2007) Simulation of hip fracture in sideways fall using a 3D finite element model of pelvis–femur–soft tissue complex with simplified representation of whole body. Med Eng Phys 29:1167–1178CrossRef Majumder S, Roychowdhury A, Pal S (2007) Simulation of hip fracture in sideways fall using a 3D finite element model of pelvis–femur–soft tissue complex with simplified representation of whole body. Med Eng Phys 29:1167–1178CrossRef
26.
Zurück zum Zitat Ciarelli MJ, Goldstein SA, Kuhn JL, Cody DD, Brown MB (1991) Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography. J Orthop Res 9:674–682CrossRef Ciarelli MJ, Goldstein SA, Kuhn JL, Cody DD, Brown MB (1991) Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography. J Orthop Res 9:674–682CrossRef
27.
Zurück zum Zitat Biswas JK, Karmakar S, Majumder S, Banerjee PS, Saha S, Chowdhury AR (2014) Optimization of spinal implant screw for lower vertebra through finite element studies. J Long-term Effects Med Implants 24 Biswas JK, Karmakar S, Majumder S, Banerjee PS, Saha S, Chowdhury AR (2014) Optimization of spinal implant screw for lower vertebra through finite element studies. J Long-term Effects Med Implants 24
28.
Zurück zum Zitat Koza JR (1992) Genetic programming. MIT Press, CambridgeMATH Koza JR (1992) Genetic programming. MIT Press, CambridgeMATH
29.
Zurück zum Zitat Koza JR (1994) Genetic programming as a means for programming computers by natural selection. Stat Comput 4(2):87–112CrossRef Koza JR (1994) Genetic programming as a means for programming computers by natural selection. Stat Comput 4(2):87–112CrossRef
30.
Zurück zum Zitat Barricelli NA et al (1954) Esempi numerici di processi di evoluzione. Methodos 6(21–22):45–68MathSciNet Barricelli NA et al (1954) Esempi numerici di processi di evoluzione. Methodos 6(21–22):45–68MathSciNet
31.
Zurück zum Zitat Ghadai RK, Kalita K, Mondal SC, Swain BP (2018) PECVD process parameter optimization: towards increased hardness of diamond-like carbon thin films. Mater Manuf Process 33:1905–1913CrossRef Ghadai RK, Kalita K, Mondal SC, Swain BP (2018) PECVD process parameter optimization: towards increased hardness of diamond-like carbon thin films. Mater Manuf Process 33:1905–1913CrossRef
32.
Zurück zum Zitat Kalita K, Mallick PK, Bhoi AK, Ghadai KR (2018) Optimizing drilling induced delamination in GFRP composites using genetic algorithm and particle swarm optimisation. Adv Compos Lett 27:096369351802700101CrossRef Kalita K, Mallick PK, Bhoi AK, Ghadai KR (2018) Optimizing drilling induced delamination in GFRP composites using genetic algorithm and particle swarm optimisation. Adv Compos Lett 27:096369351802700101CrossRef
33.
Zurück zum Zitat Kalita K, Shivakoti I, Ghadai RK (2017) Optimizing process parameters for laser beam micro-marking using genetic algorithm and particle swarm optimization. Mater Manuf Process 32:1101–1108CrossRef Kalita K, Shivakoti I, Ghadai RK (2017) Optimizing process parameters for laser beam micro-marking using genetic algorithm and particle swarm optimization. Mater Manuf Process 32:1101–1108CrossRef
Metadaten
Titel
Symbolic regression metamodel-based optimal design of patient-specific spinal implant (pedicle screw fixation)
Publikationsdatum
01.07.2020
Erschienen in
Engineering with Computers / Ausgabe 2/2022
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01090-z

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