Computational simulation of trabecular adaptation progress in human proximal femur during growth

Jang, In Gwun; Kim, Il Yong

doi:10.1016/j.jbiomech.2008.12.009

Cited by 34 publications

(18 citation statements)

References 33 publications

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“…With the development of computer technology, the minimum element size of the model used for simulation can be as small as 50 microns. From the previous bone remodeling studies, it is shown that the complex structure of trabecular bone can be simulated [22-24]. …”

Section: Introductionmentioning

confidence: 99%

Simulation on the internal structure of three-dimensional proximal tibia under different mechanical environments

et al. 2013

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BackgroundBone can adjust its morphological structure to adapt to the changes of mechanical environment, i.e. the bone structure change is related to mechanical loading. This implies that osteoarthritis may be closely associated with knee joint deformity. The purposes of this paper were to simulate the internal bone mineral density (BMD) change in three-dimensional (3D) proximal tibia under different mechanical environments, as well as to explore the relationship between mechanical environment and bone morphological abnormity.MethodsThe right proximal tibia was scanned with CT to reconstruct a 3D proximal tibia model in MIMICS, then it was imported to finite element software ANSYS to establish 3D finite element model. The internal structure of 3D proximal tibia of young normal people was simulated using quantitative bone remodeling theory in combination with finite element method, then based on the changing pattern of joint contact force on the tibial plateau in valgus knees, the mechanical loading was changed, and the simulated normal tibia structure was used as initial structure to simulate the internal structure of 3D proximal tibia for old people with 6° valgus deformity. Four regions of interest (ROIs) were selected in the proximal tibia to quantitatively analyze BMD and compare with the clinical measurements.ResultsThe simulation results showed that the BMD distribution in 3D proximal tibia was consistent with clinical measurements in normal knees and that in valgus knees was consistent with the measurement of patients with osteoarthritis in clinics.ConclusionsIt is shown that the change of mechanical environment is the main cause for the change of subchondral bone structure, and being under abnormal mechanical environment for a long time may lead to osteoarthritis. Besides, the simulation method adopted in this paper can more accurately simulate the internal structure of 3D proximal tibia under different mechanical environments. It helps to better understand the mechanism of osteoarthritis and provides theoretical basis and computational method for the prevention and treatment of osteoarthritis. It can also serve as basis for further study on periprosthetic BMD changes after total knee arthroplasty, and provide a theoretical basis for optimization design of prosthesis.

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Section: Introductionmentioning

confidence: 99%

Simulation on the internal structure of three-dimensional proximal tibia under different mechanical environments

et al. 2013

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“…The model may help us gain a better understanding of the relationships between bone morphology and the mechanical, as well as biological environments. Recently, state-of-the-art computational techniques in both hardware and software have been utilized to handle millions of finite elements in the PC base (even hundreds of millions in the supercomputer base) [21-23]. Hence, a further prospect of the bone adaptation model proposed in this paper is to perform a detailed 3 D bone-remodeling simulation.…”

Section: Discussionmentioning

confidence: 99%

“…Nowadays, increased computational resources have made it possible for large-scale bone-remodeling simulations to have an element size that is as small as about 50 με. This demonstrates that bone remodeling at the tissue level can create a highly complex and optimized trabecular structure in terms of bone density and orientation [21-23]. …”

Section: Introductionmentioning

confidence: 99%

An adaptation model for trabecular bone at different mechanical levels

et al. 2010

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BackgroundBone has the ability to adapt to mechanical usage or other biophysical stimuli in terms of its mass and architecture, indicating that a certain mechanism exists for monitoring mechanical usage and controlling the bone's adaptation behaviors. There are four zones describing different bone adaptation behaviors: the disuse, adaptation, overload, and pathologic overload zones. In different zones, the changes of bone mass, as calculated by the difference between the amount of bone formed and what is resorbed, should be different.MethodsAn adaptation model for the trabecular bone at different mechanical levels was presented in this study based on a number of experimental observations and numerical algorithms in the literature. In the proposed model, the amount of bone formation and the probability of bone remodeling activation were proposed in accordance with the mechanical levels. Seven numerical simulation cases under different mechanical conditions were analyzed as examples by incorporating the adaptation model presented in this paper with the finite element method.ResultsThe proposed bone adaptation model describes the well-known bone adaptation behaviors in different zones. The bone mass and architecture of the bone tissue within the adaptation zone almost remained unchanged. Although the probability of osteoclastic activation is enhanced in the overload zone, the potential of osteoblasts to form bones compensate for the osteoclastic resorption, eventually strengthening the bones. In the disuse zone, the disuse-mode remodeling removes bone tissue in disuse zone.ConclusionsThe study seeks to provide better understanding of the relationships between bone morphology and the mechanical, as well as biological environments. Furthermore, this paper provides a computational model and methodology for the numerical simulation of changes of bone structural morphology that are caused by changes of mechanical and biological environments.

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“…These approximations should involve explicit functions of ρ, as opposed to the original objective function where u(ρ) is defined implicitly by solving (2). The first term of the goal function, see (12), is linearized in the, so-called, intervening variables ρ −α i , α > 0, see Christensen and Klarbring [4]. If the linearization is made at the point ρ k we obtain…”

Section: Methodsmentioning

confidence: 99%

“…Research aimed at applying topology optimization theory to bone remodeling can be found in, e.g., recent work by Jang and Kim [11,12,13], while studies with the converse aim, i.e., applying bone remodeling theories in structural and topology optimization, can be found in Penninger et al [19] and Andreaus et al [1]. The theoretical basis for this connection of theories is independently discussed in Jang et al [14] and Klarbring and Torstenfelt [15,16].…”

Section: Introductionmentioning

confidence: 99%

Lazy zone bone remodeling theory and its relation to topology optimization

Klarbring

Torstenfelt

2012

Ann. Solid Struct. Mech.

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The connection between apparent density-type bone remodeling theories and density formulations of topology optimization is well known from a large number of publications and its theoretical basis has recently been discussed by making use of a dynamical systems approach to optimization. The present paper takes this connection one step further by showing how the Coleman-Noll procedure of rational thermodynamics can be used to derive general dynamical systems, where a special case includes the lazy zone concept of bone remodeling theory. It is also shown how a numerical solution method for the dynamical system can be developed by using the sequential convex approximation idea. The method is employed to obtain a series of solutions that show the influence of modeling parameters representing elements of plasticity and viscosity in the growth process.

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Computational simulation of trabecular adaptation progress in human proximal femur during growth

Cited by 34 publications

References 33 publications

Simulation on the internal structure of three-dimensional proximal tibia under different mechanical environments

Simulation on the internal structure of three-dimensional proximal tibia under different mechanical environments

An adaptation model for trabecular bone at different mechanical levels

Lazy zone bone remodeling theory and its relation to topology optimization

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