2005
DOI: 10.1186/1742-4682-2-6
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Volume-based non-continuum modeling of bone functional adaptation

Abstract: Background: Bone adapts to mechanical strain by rearranging the trabecular geometry and bone density. The common finite element methods used to simulate this adaptation have inconsistencies regarding material properties at each node and are computationally demanding. Here, a volumebased, non-continuum formulation is proposed as an alternative. Adaptive processes corresponding to various external mechanical loading conditions are simulated for the femur.

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Cited by 8 publications
(3 citation statements)
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“…While it works for solid objects with small complexity, STL is an unfeasible format if internal pore architecture is an integral part of the computer-aided design (Melchels et al, 2012 ). New methods to create porous models from medical imaging-derived data are therefore under evaluation in order to enable the study of the effects of biomechanical forces on bone remodeling (Wang and Mondry, 2005 ).…”
Section: Clinical Translationmentioning
confidence: 99%
“…While it works for solid objects with small complexity, STL is an unfeasible format if internal pore architecture is an integral part of the computer-aided design (Melchels et al, 2012 ). New methods to create porous models from medical imaging-derived data are therefore under evaluation in order to enable the study of the effects of biomechanical forces on bone remodeling (Wang and Mondry, 2005 ).…”
Section: Clinical Translationmentioning
confidence: 99%
“…Many simulations have examined the biomechanical properties of bone in an attempt to simulate gait [70], or the effect of implanted prosthesis on the surrounding bone tissue [71,72], with a focus on modeling biomechanical qualities. An increasing number of simulations [72][73][74][75][76] focus on such issues as bone metabolism in adaptative situations, ion flux, and the influence of pharmacologic intervention on bone turnover, to name but a few. In so far as bone metabolism depends on electrolyte homeostasis, a process long described by quantitative mathematical models as prominently demonstrated by Brown's formulation of the calcium set-point [77], the study of bone in health and disease lends itself to quantitative mathematical modeling.…”
Section: Simulation Of Bone Turnover: a Systems Biology Approachmentioning
confidence: 99%
“…Bone transformation is a highly coordinated adaptation of the bone tissue, J. Wolff's stress trajectory hypothesis has been corroborated under relatively simple load FEA studies and is debated as there is currently a lack of consensus on the precise interpretation of stress trajectories in trabecular and cortical bone in complex load scenarios, as discussed by J. Skedros [43]. We are only beginning to understand the mechanical work of bone due to advances in computational models such as analytical discrete methods [44].…”
Section: Hierarchical Differentiation Of Fibrous Arrangementsmentioning
confidence: 99%