Online citations, reference lists, and bibliographies.

Computer Simulation Of Trabecular Remodeling In Human Proximal Femur Using Large-scale Voxel FE Models: Approach To Understanding Wolff's Law.

Ken-ichi Tsubota, Yusuke Suzuki, Tomonori Yamada, Masaki Hojo, Akitake Makinouchi, Taiji Adachi
Published 2009 · Engineering, Medicine

Cite This
Download PDF
Analyze on Scholarcy
Share
Ever since Julius Wolff proposed the law of bone transformation in the 19th century, it has been widely known that the trabecular structure of cancellous bone adapts functionally to the loading environment. To understand the mechanism of Wolff's law, a three-dimensional (3D) computer simulation of trabecular structural changes due to surface remodeling was performed for a human proximal femur. A large-scale voxel finite element model was constructed to simulate the structural changes of individual trabeculae over the entire cancellous region. As a simple remodeling model that considers bone cellular activities regulated by the local mechanical environment, nonuniformity of local stress was assumed to drive the trabecular surface remodeling to seek a uniform stress state. Simulation results demonstrated that cell-scale ( approximately 10microm) remodeling in response to mechanical stimulation created complex 3D trabecular structures of the entire bone-scale ( approximately 10cm), as illustrated in the reference of Wolff. The bone remodeling reproduced the characteristic anisotropic structure in the coronal cross section and the isotropic structures in other cross sections. The principal values and axes of a structure characterized by fabric ellipsoids corresponded to those of the apparent stress of the structure. The proposed large-scale computer simulation indicates that in a complex mechanical environment of a hierarchical bone structure of over 10(4) length scale (from approximately 10microm to approximately 10cm), a simple remodeling at the cellular/trabecular levels creates a highly complex and functional trabecular structure, as characterized by bone density and orientation.
This paper references
10.1016/S0021-9290(01)00204-4
A contact model with ingrowth control for bone remodelling around cementless stems.
P. Fernandes (2002)
10.1016/S0021-9290(96)00189-3
Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations.
C. Jacobs (1997)
10.1115/1.3138584
Wolff's law of trabecular architecture at remodeling equilibrium.
S. Cowin (1986)
10.1103/PHYSREVLETT.93.228102
Stochastic lattice model for bone remodeling and aging.
R. Weinkamer (2004)
10.1299/JBSE.1.124
Simulation Study on Local and Integral Mechanical Quantities at Single Trabecular Level as Candidates of Remodeling Stimuli
K. Tsubota (2006)
10.1002/jcb.240550303
Osteonal and hemi-osteonal remodeling: the spatial and temporal framework for signal traffic in adult human bone.
A. Parfitt (1994)
10.1016/J.JBIOMECH.2006.05.028
Measurement of local strain on cell membrane at initiation point of calcium signaling response to applied mechanical stimulus in osteoblastic cells.
K. Sato (2007)
10.1002/jor.1100080507
An approach for time-dependent bone modeling and remodeling-application: a preliminary remodeling simulation.
G. Beaupré (1990)
10.1016/j.jbiomech.2008.05.037
Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization.
In Gwun Jang (2008)
10.1016/J.BBRC.2006.07.214
Signal transduction pathways involved in mechanotransduction in bone cells.
A. Liedert (2006)
10.1016/S8756-3282(00)00245-3
Gap junctions and biophysical regulation of bone cell differentiation.
H. Donahue (2000)
10.1007/s001980200095
Mechanical Strain and Bone Cell Function: A Review
P. Ehrlich (2002)
10.1114/1.1574028
Effects of a Fixation Screw on Trabecular Structural Changes in a Vertebral Body Predicted by Remodeling Simulation
K. Tsubota (2004)
10.1115/1.2891234
Candidates for the mechanosensory system in bone.
S. Cowin (1991)
10.1016/0021-9290(87)90030-3
Adaptive bone-remodeling theory applied to prosthetic-design analysis.
R. Huiskes (1987)
10.1016/S0021-9290(02)00173-2
Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state.
K. Tsubota (2002)
10.1016/S8756-3282(99)00098-8
The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone.
D. Ulrich (1999)
10.1038/361511a0
Materials with structural hierarchy
R. Lakes (1993)
10.1016/s0021-9290(03)00123-4
"Whither flows the fluid in bone?" An osteocyte's perspective.
M. K. Knothe Tate (2003)
10.1007/S10237-005-0067-X
A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity
J. M. García-Aznar (2005)
10.1016/S0021-9290(98)00150-X
Tissue stresses and strain in trabeculae of a canine proximal femur can be quantified from computer reconstructions.
B. van Rietbergen (1999)
10.1016/S0002-9629(15)40399-4
Strain amplification in the bone mechanosensory system
S. Cowin (1998)
10.1016/S0021-9290(08)70125-8
BONE TISSUE ADAPTATION – A HIERARCHICAL APPROACH FOR APPARENT DENSITY AND TRABECULAR STRUCTURE
Pedro G. Coelho (2008)
10.1016/0142-9612(96)85767-X
Bone remodelling adjacent to intramedullary stems: an optimal structures approach.
T. Harrigan (1996)
10.1055/s-0028-1144106
Das Gesetz der Transformation der Knochen
J. Wolff (1893)
10.1080/10255840410001729524
Changes in the Fabric and Compliance Tensors of Cancellous Bone due to Trabecular Surface Remodeling, Predicted by a Digital Image-based Model
K. Tsubota (2004)
10.1016/S0021-9290(03)00123-4
Whither flows the fluid in bone?" An osteocyte's perspective.
M. Tate (2003)
10.1016/J.JBIOMECH.2006.05.007
Bone remodelling algorithms incorporating both strain and microdamage stimuli.
L. McNamara (2007)
10.1016/0021-9290(94)90019-1
A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress.
S. J. Hollister (1994)
10.1002/jor.1100130405
Proposal for the regulatory mechanism of Wolff's law.
M. Mullender (1995)
10.1007/BF02406129
Mechanical loading histories and cortical bone remodeling
D. Carter (2006)
10.1016/J.BIOMATERIALS.2006.02.039
Framework for optimal design of porous scaffold microstructure by computational simulation of bone regeneration.
T. Adachi (2006)
10.1073/PNAS.0407429101
Mechanotransduction and strain amplification in osteocyte cell processes.
Y. Han (2004)
10.1096/fasebj.13.9001.s101
Mechanotransduction in bone—role of the lacunocanalicular network
E. Burger (1999)
10.1115/1.1392315
Trabecular surface remodeling simulation for cancellous bone using microstructural voxel finite element models.
T. Adachi (2001)
10.1016/0021-9290(95)80008-5
A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models.
B. van Rietbergen (1995)
10.1038/35015116
Effects of mechanical forces on maintenance and adaptation of form in trabecular bone
R. Huiskes (2000)
10.1002/jor.1100150416
Surface remodeling of trabecular bone using a tissue level model.
T. S. Smith (1997)
10.1016/0167-6636(85)90012-2
A symmetry invariant formulation of the relationship between the elasticity tensor and the fabric tensor.
M. Moesen (1985)
10.1196/ANNALS.1402.018
Osteocytes as dynamic multifunctional cells.
L. Bonewald (2007)
10.1016/J.MEDENGPHY.2004.09.013
Spatial and temporal regulation of cancellous bone structure: characterization of a rate equation of trabecular surface remodeling.
K. Tsubota (2005)
10.1299/JSMEC.40.782
Simulation of Trabecular Surface Remodeling based on Local Stress Nonuniformity.
Taiji Adachi (1997)
10.1073/pnas.0707246104
A model for the role of integrins in flow induced mechanotransduction in osteocytes
Y. Wang (2007)



This paper is referenced by
10.1109/BIBE.2010.23
Computational Framework for Microstructural Bone Dynamics Model and Its Evaluation
Taehyong Kim (2010)
10.1016/J.IJENGSCI.2011.08.004
A contribution to the mechanics and thermodynamics of surface growth. Application to bone external remodeling
J. Ganghoffer (2012)
10.1007/s10237-013-0539-3
Interstitial fluid flow in canaliculi as a mechanical stimulus for cancellous bone remodeling: in silico validation
Y Kameo (2014)
10.4329/wjr.v6.i9.643
From histology to micro-CT: Measuring and modeling resorption cavities and their relation to bone competence.
J. Vanderoost (2014)
Osteocyte Apoptosis -
Ji Yean Kwon (2012)
10.1016/j.bone.2017.12.012
Trabecular health of vertebrae based on anisotropy in trabecular architecture and collagen/apatite micro-arrangement after implantation of intervertebral fusion cages in the sheep spine.
T. Ishimoto (2018)
10.1142/S0219519413500036
NUMERICAL SIMULATIONS OF CHANGE IN TRABECULAR STRUCTURE DUE TO BONE REMODELING UNDER ULTRASOUND PROPAGATION
Atsushi Hosokawa (2013)
10.1007/s10237-019-01147-z
Exploring conditions that make cortical bone geometry optimal for physiological loading
Chander Sen (2019)
10.1007/S00707-014-1202-5
Modeling trabecular bone adaptation to local bending load regulated by mechanosensing osteocytes
Y Kameo (2014)
Fabricación y caracterización mecánica de barras coaxiales híbridas de hidroxiapatita/policaprolactona
Álvaro Chapado Gutiérrez (2018)
10.15377/2409-9848.2016.03.01.3
Spatial Distribution of Material Properties in Load Bearing Femur as Characterized by Evolutionary Structural Optimization
Mehmet Bilgen (2016)
10.7717/peerj.5779
Cancellous bone and theropod dinosaur locomotion. Part II—a new approach to inferring posture and locomotor biomechanics in extinct tetrapod vertebrates
P. Bishop (2018)
10.1007/s10853-019-03537-1
Polylactic acid/sodium alginate/hydroxyapatite composite scaffolds with trabecular tissue morphology designed by a bone remodeling model using 3D printing
I. Fernández-Cervantes (2019)
Modeling trabecular microstructure evolution via genetic algorithm
Samuel W. L. Shames (2013)
10.1177/1081286512461928
A general density-preserving remodeling law for isotropic materials
Ben Nadler (2014)
10.1115/1.4026227
An analytical approach to investigate the evolution of bone volume fraction in bone remodeling simulation at the tissue and cell level.
Michele Colloca (2014)
10.1016/j.jmbbm.2016.10.005
Mechanical stimuli of trabecular bone in osteoporosis: A numerical simulation by finite element analysis of microarchitecture.
C R Martha Sandino (2017)
10.1186/1475-925X-12-130
Simulation on the internal structure of three-dimensional proximal tibia under different mechanical environments
Juan Fang (2013)
Structural Meso-Scale Modelling Of The Tibia
Ned Wright (2012)
10.1007/978-4-431-54073-1_2
Mechanics of Biosolids and Computational Analysis
M. Tanaka (2012)
10.1038/s41598-019-40463-3
Forceful mastication activates osteocytes and builds a stout jawbone
M. Inoue (2019)
10.1038/s41598-019-54785-9
Biomechanical investigation of extragraft bone formation influences on the operated motion segment after anterior cervical spinal discectomy and fusion
Won Man Park (2019)
10.1016/J.MECHMAT.2011.07.012
Trabecular bone adaptation in a finite element frame model using load dependent fabric tensors
Éva Lakatos (2012)
10.1145/1854776.1854883
A graph-based approach for computational model of bone microstructure
Taehyong Kim (2010)
Mechanobiological Investigation of Periosteum Through Finite Element Modeling and Histology
R. M. Miller (2011)
10.2140/MEMOCS.2018.6.353
A general method for the determination of the local orthotropic directions of heterogeneous materials : application to bone structures using μCT images
Christophe Cluzel (2018)
10.1016/j.jmbbm.2009.10.005
Estimation of bone permeability considering the morphology of lacuno-canalicular porosity.
Y Kameo (2010)
10.1016/j.bone.2013.09.004
Scaling relations between trabecular bone volume fraction and microstructure at different skeletal sites.
C. Räth (2013)
Computational models of bone differentiation and adaptation
Carlos A. Narváez-Tovar (2011)
10.1007/978-4-431-56514-7_13
3D Trabecular Remodeling in Human Proximal Femur: Approach to Understanding Wolff’s Law
Y Kameo (2018)
Komputerowy algorytm badania procesu przebudowy tkanki kostnej gąbczastej
Alicja Wrona (2014)
10.1115/1.4028991
Inverse finite element modeling for characterization of local elastic properties in image-guided failure assessment of human trabecular bone.
Alexander Zwahlen (2015)
See more
Semantic Scholar Logo Some data provided by SemanticScholar