Biomechanical effect of mineral heterogeneity in trabecular bone

Renders, G.A.P.; Mulder, Lars; Langenbach, G.E.J.; Ruijven, Leo van; Eijden, T.M.G.J. van

doi:10.1016/j.jbiomech.2008.07.009

Cited by 72 publications

(64 citation statements)

References 52 publications

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“…50 The corresponding fracture strain estimates were double the damage strains, and so a failure strain between 0.02 and 0.007 appears reasonable. This range could not be achieved for the Renders et al 35 relationship when the failure volume was less than 10%. Despite the uncertainty in material behavior and failure conditions of mouse trabecular bone, applying constant properties and failure criteria across all models can still predict VB strength with reasonable accuracy, at least in situations where BV/TV and TMD drive differences in VB strength.…”

Section: Discussionmentioning

confidence: 84%

“…The decrease in predicted force with the use of inhomogeneous distribution of E t ( Figure 3) is consistent with observed decreases in predicted apparent modulus of human trabecular bone when using inhomogeneous FEAs. 35,52 That is, for a given apparent displacement of trabecular bone or VB, local stresses are lower and higher in regions of lower and higher tissue modulus, respectively. The net decrease in modulus when changing from the homogeneous (18 GPa) model to the inhomogeneous model leads to a decrease in the reaction force.…”

Section: Discussionmentioning

confidence: 99%

“…Keeping failure strain and failure volume set to 0.007 and 2%, respectively, results in an under-prediction of the peak force. The RSME was especially high for models developed using the Renders et al 35 relationship. Simply increasing failure strain improves the accuracy ( Figure 2) without negatively affecting predictive ability (no change in R 2 or Figure 1 Linear regression analysis of experimental vertebra (VB) strength versus predicted VB strength from micro-finite element analysis (mFEAs) for different homogeneous material definitions using the same critical failure volume (V f ) and failure strain (threshold ¼ 421.4 mg HA cm À 3 ).…”

Section: Effect Of Varying Failure Volume For Homogenous Materials Promentioning

confidence: 99%

“…This typically involves converting the TMD of each element to E t using a theoretical relationship between TMD and E t . We investigated three published conversions: Wagner et al 34 (equation 1), Easley et al 28 and Renders et al 35 The use of an elementspecific E t to generate mFEA models improved the R 2 , regardless of whether the Wagner et al, 34 the Easley et al 28 or the Renders et al 35 relationship was used to convert TMD to E t (Table 1 and Figure 2). Keeping failure strain and failure volume set to 0.007 and 2%, respectively, results in an under-prediction of the peak force.…”

Section: Effect Of Varying Failure Volume For Homogenous Materials Promentioning

confidence: 99%

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Predicting mouse vertebra strength with micro-computed tomography-derived finite element analysis

Nyman¹,

Uppuganti²,

Makowski³

et al. 2015

BoneKEy Reports

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As in clinical studies, finite element analysis (FEA) developed from computed tomography (CT) images of bones are useful in pre-clinical rodent studies assessing treatment effects on vertebral body (VB) strength. Since strength predictions from microCT-derived FEAs (mFEA) have not been validated against experimental measurements of mouse VB strength, a parametric analysis exploring material and failure definitions was performed to determine whether elastic mFEAs with linear failure criteria could reasonably assess VB strength in two studies, treatment and genetic, with differences in bone volume fraction between the control and the experimental groups. VBs were scanned with a 12-mm voxel size, and voxels were directly converted to 8-node, hexahedral elements. The coefficient of determination or R 2 between predicted VB strength and experimental VB strength, as determined from compression tests, was 62.3% for the treatment study and 85.3% for the genetic study when using a homogenous tissue modulus (E t ) of 18 GPa for all elements, a failure volume of 2%, and an equivalent failure strain of 0.007. The difference between prediction and measurement (that is, error) increased when lowering the failure volume to 0.1% or increasing it to 4%. Using inhomogeneous tissue density-specific moduli improved the R 2 between predicted and experimental strength when compared with uniform E t ¼ 18 GPa. Also, the optimum failure volume is higher for the inhomogeneous than for the homogeneous material definition. Regardless of model assumptions, mFEA can assess differences in murine VB strength between experimental groups when the expected difference in strength is at least 20%.

show abstract

Section: Discussionmentioning

confidence: 84%

Section: Discussionmentioning

confidence: 99%

Section: Effect Of Varying Failure Volume For Homogenous Materials Promentioning

confidence: 99%

Section: Effect Of Varying Failure Volume For Homogenous Materials Promentioning

confidence: 99%

See 2 more Smart Citations

Predicting mouse vertebra strength with micro-computed tomography-derived finite element analysis

Nyman¹,

Uppuganti²,

Makowski³

et al. 2015

BoneKEy Reports

View full text Add to dashboard Cite

show abstract

“…Th e resolution of the scans was 18 μm, the voltage 70 kV, the current 114 μA, and the integration time 1000 ms. To discriminate between bone and background, the reconstructions were segmented using an adaptive threshold procedure, which determines the minimum between the two peaks in the gray values histogram, representing bone and background, respectively. 331 For quantitative analysis, two cylindrical volumes of interest were defi ned: one representing the complete OCD, measuring 6 mm in diameter and 6 mm in depth, and one representing the central OCD, measuring 3 mm in diameter and 5 mm in depth. Th e latter volume of interest was defi ned at 5 mm in depth to avoid analyzing original bone at the base of the OCD.…”

Section: Micro-computed Tomographymentioning

confidence: 99%

Treatment of osteochondral defects of the talus

Bergen

Leeuw

Dijk

2008

Revue de Chirurgie Orthopédique et Réparatrice de l'Appareil Mo

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Metacarpal trabecular architecture variation in the chimpanzee (Pan troglodytes): Evidence for locomotion and tool‐use?

Lazenby

Skinner

Hublin

et al. 2010

American J Phys Anthropol

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Trabecular architecture was assessed by 3D micro-computed tomography from spherical volumes of interest located within the head and base of metacarpals (MC) 1, 2, and 5 from n = 19 adult common chimpanzees. Two subspecies, West African Pan troglodytes verus from the Taï Forest, Côte d'Ivoire (n = 12) and Central African P. t. troglodytes from Cameroon (n = 7), were studied. For the combined sample, the metacarpal head is distinguished by greater bone volume fraction across all metacarpals, though the MC 1 is distinctive in having thicker, more plate-like trabeculae. The architecture in the MC 2 and MC 5 can be related to strains associated with terrestrial knuckle-walking. In particular, the relatively robust MC 5 head architecture may result from functional loading incurred during braking and use of a palm-in hand posture. Examining differences between samples, we found that the Cameroon chimpanzees possess a more robust architecture across all metacarpals in the form of greater bone volume fraction, higher connectivity, and somewhat more plate-like structure. These differences are not explicable in terms of population distinctions in body size or daily travel distance, but possibly reflect a combination of more terrestrial knuckle-walking in the Cameroon sample and more diverse hand postures and precision handling required of nut-cracking in West African chimpanzees.

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Biomechanical effect of mineral heterogeneity in trabecular bone

Cited by 72 publications

References 52 publications

Predicting mouse vertebra strength with micro-computed tomography-derived finite element analysis

Predicting mouse vertebra strength with micro-computed tomography-derived finite element analysis

Treatment of osteochondral defects of the talus

Metacarpal trabecular architecture variation in the chimpanzee (Pan troglodytes): Evidence for locomotion and tool‐use?

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