A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models

Chapurlat, Roland; Weinans, Harrie; Huiskes, Rik; Odgaard, A.

doi:10.1016/0021-9290(95)80008-5

Cited by 738 publications

(254 citation statements)

References 20 publications

(8 reference statements)

Supporting

Mentioning

246

Contrasting

Unclassified

Order By: Relevance

“…This information obtained is then typically assigned to a finite-element program, which, in its simplest form, assigns one element to each voxel belonging to the tissue. In more recent implementations, additional surface smoothing can be applied and techniques have been designed to reduce the amount of elements in the 3D Micro Finite Element models (μFE) by mesh optimisation procedures [47][48][49][50][51][52].…”

Section: Mechanical Models For Cancellous Bonementioning

confidence: 99%

Effects of architecture, density and connectivity on the properties of trabecular bone: a two-dimensional, Voronoi cell based model study

Ruiz¹,

Schouwenaars

Ramírez

et al. 2011

AIP Conference Proceedings

View full text Add to dashboard Buy / Rent full text

Trabecular bone, rather than being considered as a homogeneous material, must be analysed as a structure of interconnected beam and plate-like elements. The arrangement and morphology of these elements depend on the specific tissue studied as well as on the physiology of the individual. It is therefore impossible to define the mechanical properties trabecular bone in general. To estimate the properties of an individual structure, flexible numerical models must be developed, which allow the calculation of elastic constants and resistance of tissue previously characterised by non-destructive observation. Voxel-based modelling of structures observed by X-ray microtomography is computation intensive. Here, synthetic 2D-microstructures are analysed, constructed as a collection of Voronoi-cells obtained from the observation of plane sections of cancellous bone. The effect of architecture (vertebra and femur), bone density and loss of trabecular connectivity was researched. The study confirms findings of earlier experimental and numerical studies relating to the effect of these parameters; the technique is efficient in terms of experimental effort and numerical analysis. Consequently, the use of synthetic microstructures based on a Voronoi-cell approximation of the real bone architecture may be a promising approach for the prediction of the mechanical properties of trabecular bone.

show abstract

Section: Mechanical Models For Cancellous Bonementioning

confidence: 99%

Effects of architecture, density and connectivity on the properties of trabecular bone: a two-dimensional, Voronoi cell based model study

Ruiz¹,

Schouwenaars

Ramírez

et al. 2011

AIP Conference Proceedings

View full text Add to dashboard Buy / Rent full text

show abstract

“…Various methods have been developed to improve computational efficiency. The element-by-element (EBE) method (van Rietbergen et al 1995) saves memory by using uniformly shaped elements, allowing large models to be computed on commonly available computer hardware. More recently, more effective preconditioners optimized for massively parallel computer architectures (Adams et al 2003;Arbenz et al 2008) have reduced the execution times of simulations with around a billion unknowns from weeks to hours (Bekas et al 2008).…”

Section: Linear and Nonlinear Micro-finite Element Modelsmentioning

confidence: 99%

Multiscale modelling and nonlinear finite element analysis as clinical tools for the assessment of fracture risk

Christen

Webster

Müller

2010

Phil. Trans. R. Soc. A.

View full text Add to dashboard Buy / Rent full text

The risk of osteoporotic fractures is currently estimated based on an assessment of bone mass as measured by dual-energy X-ray absorptiometry. However, patient-specific finite element (FE) simulations that include information from multiple scales have the potential to allow more accurate prognosis. In the past, FE models of bone were limited either in resolution or to the linearization of the mechanical behaviour. Now, nonlinear, high-resolution simulations including the bone microstructure have been made possible by recent advances in simulation methods, computer infrastructure and imaging, allowing the implementation of multiscale modelling schemes. For example, the mechanical loads generated in the musculoskeletal system define the boundary conditions for organ-level, continuum-based FE models, whose nonlinear material properties are derived from microstructural information. Similarly microstructure models include tissuelevel information such as the dynamic behaviour of collagen by modifying the model's constitutive law. This multiscale approach to modelling the mechanics of bone allows a more accurate characterization of bone fracture behaviour. Furthermore, such models could also include the effects of ageing, osteoporosis and drug treatment. Here we present the current state of the art for multiscale modelling and assess its potential to better predict an individual's risk of fracture in a clinical setting.

show abstract

“…Current strategies involve the use of voxel-based mesh generators that cope with the topological complexity at the cost of a very large number (up to 100 million) of degrees of freedom to be solved (Ruimerman et al 2005). This has pushed the development of special solvers capable of solving these problems in a reasonable amount of time using homogeneity assumptions (van Rietbergen et al 1995;Niebur et al 2000) or by exploiting massive parallelism (Arbenz et al 2007). A more recent approach, developed by our group, uses a different numerical method to solve the elasticity equations, called the cells method (Taddei et al in press).…”

Section: Tissue Level: Constitutive Equation and Failure Criterionmentioning

confidence: 99%

“…A model of the femur (at the organ level) is first identified by its geometry, which can be obtained, also in vivo, from medical imaging datasets of the region of interest (van Rietbergen et al 1995;Ota et al 1999;Taylor 2003;Keyak et al 2005;Taddei et al 2007). The method of choice for the definition of the bone boundary is segmentation of computed tomography (CT) data, which provide a good contrast between mineralized bone tissue and surrounding soft tissues.…”

Section: Organ Level: the Bone Modelmentioning

confidence: 99%

Multiscale investigation of the functional properties of the human femur

Cristofolini

Taddei²,

Baleani³

et al. 2008

Phil. Trans. R. Soc. A.

View full text Add to dashboard Buy / Rent full text

The mechanical strength of human bones has often been investigated in the past. Bone failure is related to musculoskeletal loading, tissue properties, bone metabolism, etc. This is intrinsically a multiscale problem. However, organ-level performance in most cases is investigated as a separate problem, incorporating only part (if any) of the information available at a higher scale (body level) or at a lower one (tissue level, cell level). A multiscale approach is proposed, where models available at different levels are integrated. A middle-out strategy is taken: the main model to be investigated is at the organ level. The organ-level model incorporates as an input the outputs from the bodylevel (musculoskeletal loads), tissue-level (constitutive equations) and cell-level models (bone remodelling). In this paper, this approach is exemplified by a clinically relevant application: fractures of the proximal femur. We report how a finite-element model of the femur (organ level) becomes part of a multiscale model. A significant effort is related to model validation: a number of experiments were designed to quantify the model's sensitivity and accuracy. When possible, the clinical accuracy and the clinical impact of a model should be assessed. Whereas a large amount of information is available at all scales, only organ-level models are really mature in this perspective. More work is needed in the future to integrate all levels fully, while following a sound scientific method to assess the relevance and validity of such an integrated model.

show abstract

A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models

Cited by 738 publications

References 20 publications

Effects of architecture, density and connectivity on the properties of trabecular bone: a two-dimensional, Voronoi cell based model study

Effects of architecture, density and connectivity on the properties of trabecular bone: a two-dimensional, Voronoi cell based model study

Multiscale modelling and nonlinear finite element analysis as clinical tools for the assessment of fracture risk

Multiscale investigation of the functional properties of the human femur

Contact Info

Product

Resources

About