Computational study on the effect of loading alteration caused by disc degeneration on the trabecular architecture in human lumbar spine.

A thorough understanding of age-related phenomena on the trabecular architecture in the human lumbar spine can help the diagnosis and prognosis of age-related architectural changes, and provide an insight into the corresponding clinical assessments. In this paper we considered the different loading conditions of the young and old lumbar spines mainly caused by disc degeneration and studied the effect of loading alteration on trabecular architecture in lumbar spines. A two-dimensional muFE models with a 40mum pixel resolution were built to represent the full trabecular architecture in the human lumbar spine, and a topology optimization with the aid of finite element method was conducted to numerically investigate the trabecular morphological changes. Topology optimization iteratively distributes material in a design domain producing optimal layout or configuration, and it has been widely and successfully used for the study of bone remodeling. As a result of adaptive response of bone remodeling due to different loading conditions, we obtained two distinctively different trabecular architectures for the young and old lumbar spines, and we observed a strong correlation between our numerical results and the actual trabecular architecture in the literature. The proposed numerical framework and results demonstrated the potential use of the topology optimization-based numerical tool for putative treatments in advance of actual clinical procedures for the patients.

[1]  L. Mosekilde,et al.  Age-related changes in bone mass, structure, and strength – effects of loading , 2000, Zeitschrift für Rheumatologie.

[2]  In Gwun Jang,et al.  Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization. , 2008, Journal of biomechanics.

[3]  Michael A. Adams,et al.  'Stress' distributions inside intervertebral discs , 1996 .

[4]  R. Ketcham,et al.  Angular orientation of trabecular bone in the femoral head and its relationship to hip joint loads in leaping primates , 2005, Journal of morphology.

[5]  Yan Song,et al.  A study of age-related architectural changes that are most damaging to bones. , 2004, Biophysical journal.

[6]  L. Claes,et al.  New in vivo measurements of pressures in the intervertebral disc in daily life. , 1999, Spine.

[7]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[8]  A. Boyde,et al.  Cancellous Bone Structure in the Growing and Aging Lumbar Spine in a Historic Nubian Population , 1997, Calcified Tissue International.

[9]  G. Niebur,et al.  High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. , 2000, Journal of biomechanics.

[10]  D S McNally,et al.  'Stress' distributions inside intervertebral discs. The effects of age and degeneration. , 1996, The Journal of bone and joint surgery. British volume.

[11]  Glen L Niebur,et al.  Biomechanical effects of intraspecimen variations in tissue modulus for trabecular bone. , 2002, Journal of biomechanics.

[12]  Thomas R Oxland,et al.  Thoracolumbar spine mechanics contrasted under compression and shear loading , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[13]  B Hallgrímsson,et al.  Trabecular bone in the bird knee responds with high sensitivity to changes in load orientation , 2006, Journal of Experimental Biology.

[14]  Il Yong Kim,et al.  Analogy of strain energy density based bone-remodeling algorithm and structural topology optimization. , 2009, Journal of biomechanical engineering.

[15]  P. Meunier,et al.  Alendronate increases bone strength by increasing the mean degree of mineralization of bone tissue in osteoporotic women. , 2000, Bone.

[16]  M. Drezner,et al.  Bone histomorphometry: Standardization of nomenclature, symbols, and units: Report of the asbmr histomorphometry nomenclature committee , 1987, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[17]  HighWire Press,et al.  The journal of bone and joint surgery - British volume , 1948 .

[18]  A Shirazi-Adl,et al.  A finite element study of a lumbar motion segment subjected to pure sagittal plane moments. , 1986, Journal of biomechanics.

[19]  A A Biewener,et al.  Adaptive changes in trabecular architecture in relation to functional strain patterns and disuse. , 1996, Bone.

[20]  C. Turner,et al.  On Wolff's law of trabecular architecture. , 1992, Journal of biomechanics.

[21]  Gong He,et al.  A study of the effect of non-linearities in the equation of bone remodeling. , 2002, Journal of biomechanics.

[22]  P Kurowski,et al.  The Relationship of Degeneration of the Intervertebral Disc to Mechanical Loading Conditions on Lumbar Vertebrae , 1986, Spine.

[23]  J S Thomsen,et al.  A new method of comprehensive static histomorphometry applied on human lumbar vertebral cancellous bone. , 2000, Bone.

[24]  N. Langrana,et al.  Finite element analysis of vertebral body mechanics with a nonlinear microstructural model for the trabecular core. , 1999, Journal of biomechanical engineering.

[25]  P Brinckmann,et al.  Measurement of the Distribution of Axial Stress on the End-Plate of the Vertebral Body , 1981, Spine.

[26]  R Müller,et al.  Effects of Daily Treatment with Parathyroid Hormone on Bone Microarchitecture and Turnover in Patients with Osteoporosis: A Paired Biopsy Study * , 2001, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[27]  Julie Hides,et al.  Sitting versus standing: does the intradiscal pressure cause disc degeneration or low back pain? , 2008, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[28]  David P. Fyhrie,et al.  The Effect of Regional Variations of the Trabecular Bone Properties on the Compressive Strength of Human Vertebral Bodies , 2007, Annals of Biomedical Engineering.

[29]  J S Thomsen,et al.  Age-related differences between thinning of horizontal and vertical trabeculae in human lumbar bone as assessed by a new computerized method. , 2002, Bone.

[30]  N. Kikuchi,et al.  A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress. , 1994, Journal of biomechanics.

[31]  M. Grynpas,et al.  Inhomogeneity of human vertebral cancellous bone: systematic density and structure patterns inside the vertebral body. , 2001, Bone.

[32]  Tony M. Keaveny,et al.  The micro-mechanics of cortical shell removal in the human vertebral body , 2007 .

[33]  Taiji Adachi,et al.  Effects of a Fixation Screw on Trabecular Structural Changes in a Vertebral Body Predicted by Remodeling Simulation , 2003, Annals of Biomedical Engineering.

[34]  M. Hahn,et al.  The Thickness of Human Vertebral Cortical Bone and its Changes in Aging and Osteoporosis: A Histomorphometric Analysis of the Complete Spinal Column from Thirty‐Seven Autopsy Specimens , 1997, Journal of Bone and Mineral Research.

[35]  M. Bendsøe Optimal shape design as a material distribution problem , 1989 .

[36]  D M Spengler,et al.  Interdependence of lumbar disc and subdiscal bone properties: a report of the normal and degenerated spine. , 1993, Journal of spinal disorders.

[37]  L. Claes,et al.  Intradiscal Pressure, Shear Strain, and Fiber Strain in the Intervertebral Disc Under Combined Loading , 2007, Spine.

[38]  Ming Ding,et al.  Age‐related variations in the microstructure of human tibial cancellous bone , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[39]  M. Kleerekoper,et al.  The role of three-dimensional trabecular microstructure in the pathogenesis of vertebral compression fractures , 1985, Calcified Tissue International.

[40]  L. Gibson,et al.  Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. , 1997, Bone.

[41]  M. Adams,et al.  Internal Intervertebral Disc Mechanics as Revealed by Stress Profilometry , 1992, Spine.

[42]  B. Manthey,et al.  Intervertebral Disc Disorganization Is Related to Trabecular Bone Architecture in the Lumbar Spine , 2001, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[43]  Jesper Skovhus Thomsen,et al.  Zone-dependent changes in human vertebral trabecular bone: clinical implications. , 2002, Bone.

[44]  M Bagge,et al.  A model of bone adaptation as an optimization process. , 2000, Journal of biomechanics.

[45]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[46]  F Melsen,et al.  Effects of long-term risedronate on bone quality and bone turnover in women with postmenopausal osteoporosis. , 2002, Bone.

[47]  T Hansson,et al.  The Relation Between Bone Mineral Content, Experimental Compression Fractures, and Disc Degeneration in Lumbar Vertebrae , 1981, Spine.

[48]  John E. Renaud,et al.  Optimum design of an interbody implant for lumbar spine fixation , 2005, Adv. Eng. Softw..

[49]  In Gwun Jang,et al.  Computational simulation of trabecular adaptation progress in human proximal femur during growth. , 2009, Journal of biomechanics.

[50]  M. J. Drews,et al.  The effect of boundary conditions on experimentally measured trabecular strain in the thoracic spine. , 1998, Journal of biomechanics.

[51]  P. Brinckmann,et al.  Prediction of the Compressive Strength of Human Lumbar Vertebrae , 1989, Spine.

[52]  A E Goodship,et al.  In Vivo Stress Measurement Can Predict Pain on Discography , 1996, Spine.

[53]  L. Mosekilde,et al.  Sex differences in age-related loss of vertebral trabecular bone mass and structure--biomechanical consequences. , 1989, Bone.