Development of a widely applicable gradientless shape optimization based bone adaptation model for comparative parametric studies

Florio, C. S.

doi:10.1007/s00158-015-1227-y

Cited by 6 publications

(19 citation statements)

References 83 publications

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“…The moment arms used in the momentum balance equations are measured from a 3‐dimensional CAD model developed using commercial software Pro/Engineer of the system studied, developed from physical measurements reported in the literature . The muscle forces and appropriate boundary constraints are applied to a discretized form of this CAD model, and bone stress distributions are calculated by using the commercial finite element solver (ANSYS)…”

Section: Methodsmentioning

confidence: 99%

“…The shape changes that result from the functional adaptations of the cortical bone tissue due to these muscle forces are predicted based on a gradientless optimization scheme that progresses the tibia to a more uniform stress state as a function of the relative effects of measures of the local stress state, the global stress state, and the variation of the local stress state over the design surface (Equations and ) The amount of change of each node's position per iteration is independent of the order of magnitude of the bone stresses, allowing the model to be applied to any system without the need for system‐based or condition‐specific parameter adjustments. The simulation is stopped when a 50% decrease in stress variation from the conditions because of the initial geometry is achieved on both the endosteal and periosteal surfaces.…”

Section: Methodsmentioning

confidence: 99%

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Effectiveness of various isometric exercises at improving bone strength in cortical regions prone to distal tibial stress fractures

Florio

2018

Numer Methods Biomed Eng

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A computational model was used to compare the local bone strengthening effectiveness of various isometric exercises that may reduce the likelihood of distal tibial stress fractures. The developed model predicts local endosteal and periosteal cortical accretion and resorption based on relative local and global measures of the tibial stress state and its surface variation. Using a multisegment 3-dimensional leg model, tibia shape adaptations due to 33 combinations of hip, knee, and ankle joint angles and the direction of a single or sequential series of generated isometric resultant forces were predicted. The maximum stress at a common fracture-prone region in each optimized geometry was compared under likely stress fracture-inducing midstance jogging conditions. No direct correlations were found between stress reductions over an initially uniform circular hollow cylindrical geometry under these critical design conditions and the exercise-based sets of active muscles, joint angles, or individual muscle force and local stress magnitudes. Additionally, typically favorable increases in cross-sectional geometric measures did not guarantee stress decreases at these locations. Instead, tibial stress distributions under the exercise conditions best predicted strengthening ability. Exercises producing larger anterior distal stresses created optimized tibia shapes that better resisted the high midstance jogging bending stresses. Bent leg configurations generating anteriorly directed or inferiorly directed resultant forces created favorable adaptations. None of the studied loads produced by a straight leg was significantly advantageous. These predictions and the insight gained can provide preliminary guidance in the screening and development of targeted bone strengthening techniques for those susceptible to distal tibial stress fractures.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Effectiveness of various isometric exercises at improving bone strength in cortical regions prone to distal tibial stress fractures

Florio

2018

Numer Methods Biomed Eng

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“…The computational modeling method developed in this work couples two models previously developed by the author which predict the individual muscle force magnitudes in a multisegment system that create a given resultant isometric force and simulate mechanically based bone shape adaptation . The model functions completely within a commercial finite element program with significant customization through user‐defined subroutines.…”

Section: Model Developmentmentioning

confidence: 99%

Development and implementation of a coupled computational muscle force optimization bone shape adaptation modeling method

Florio

2015

Numer Methods Biomed Eng

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Improved methods to analyze and compare the muscle-based influences that drive bone strength adaptation can aid in the understanding of the wide array of experimental observations about the effectiveness of various mechanical countermeasures to losses in bone strength that result from age, disuse, and reduced gravity environments. The coupling of gradient-based and gradientless numerical optimization routines with finite element methods in this work results in a modeling technique that determines the individual magnitudes of the muscle forces acting in a multisegment musculoskeletal system and predicts the improvement in the stress state uniformity and, therefore, strength, of a targeted bone through simulated local cortical material accretion and resorption. With a performance-based stopping criteria, no experimentally based or system-based parameters, and designed to include the direct and indirect effects of muscles attached to the targeted bone as well as to its neighbors, shape and strength alterations resulting from a wide range of boundary conditions can be consistently quantified. As demonstrated in a representative parametric study, the developed technique effectively provides a clearer foundation for the study of the relationships between muscle forces and the induced changes in bone strength. Its use can lead to the better control of such adaptive phenomena.

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“…Nutu (2015) gives an interpretation of bone remodelling models parameters, like the homeostatic equilibrium threshold, during the process of topology optimization. Florio (2015) developed the gradient-free shape optimization method based on bone adaptation model. The paper contains discussion of the different stress measures as a base for the remodelling scenarios.…”

Section: Introductionmentioning

confidence: 99%

Justification of a certain algorithm for shape optimization in 3D elasticity

Nowak

Sokołowski

Żochowski

2017

Struct Multidisc Optim

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The trabecular bone adapts its form to mechanical loads and is able to form structures that are both lightweight but very stiff. In this sense, it is a problem (for the Nature or living entities) similar to the structural optimization, especially the topology optimization. The structural optimization system developed by the authors previously was based directly on the bio-mechanical models. The paper aims to clarify the approach of using the bio-mechanical models of the trabecular bone remodelling phenomenon as a base for the structural optimization. The justified algorithm for shape optimization mimics the natural phenomenon to satisfy the condition of constant value of the strain energy density on the structural surface, issuing from the considerations in the area of mechanics. The main body of the paper contains the analysis of the stiffness optimization problem in the framework of speed method approach to shape optimization. The given numerical example (cantilever beam in bending) includes the influence of the structural surface curvature on the optimization procedure. The presented in the paper approach can be used as a method of structural optimization unrelated already to trabecular bone remodelling phenomenon.

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Development of a widely applicable gradientless shape optimization based bone adaptation model for comparative parametric studies

Cited by 6 publications

References 83 publications

Effectiveness of various isometric exercises at improving bone strength in cortical regions prone to distal tibial stress fractures

Effectiveness of various isometric exercises at improving bone strength in cortical regions prone to distal tibial stress fractures

Development and implementation of a coupled computational muscle force optimization bone shape adaptation modeling method

Justification of a certain algorithm for shape optimization in 3D elasticity

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