Simulating Metaphyseal Fracture Healing in the Distal Radius

Engelhardt, Lucas; Niemeyer, Frank; Christen, Patrik; Müller, Ralph; Stock, Kerstin; Blauth, M.; Urban, Karsten; Ignatius, Anita; Simon, Ulrich

doi:10.3390/biomechanics1010003

Cited by 6 publications

(3 citation statements)

References 51 publications

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“…Hospitals are continuously statistically evaluating their successful or unsuccessful treatments, and the data could be associated with our biomechanical results. For example, for future extension, the bone-healing model presented in [35] could be applied for mechanobiological rules in the ossification of femoral fractures under differing biomechanical conditions and varying anatomy and fracture types.…”

Section: Discussionmentioning

confidence: 99%

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

et al. 2022

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This paper represents a multidisciplinary approach to biomechanics (medicine engineering and mathematics) in the field of collum femoris fractures, i.e., of osteosyntheses with femoral/cancellous screws with full or cannulated cross-sections. It presents our new numerical model of femoral screws together with their stochastic (probabilistic, statistical) assessment. In the first part of this article, the new simple numerical model is presented. The model, based on the theory of planar (2D) beams on an elastic foundation and on 2nd-order theory, is characterized by rapid solution. Bending and compression loadings were used for derivation of a set of three 4th-order differential equations. Two examples (i.e., a stainless-steel cannulated femoral screw and full cross-section made of Ti6Al4V material) are presented, explained, and evaluated. In the screws, the internal shearing forces, internal normal forces, internal bending moments, displacement (deflections), slopes, and mechanical stresses are calculated using deterministic and stochastic approaches. For the stochastic approach and a “fully” probabilistic reliability assessment (which is a current trend in science), the simulation-based reliability assessment method, namely, the application of the direct Monte Carlo Method, using Anthill software, is applied. The probabilities of plastic deformations in femoral screws are calculated. Future developments, which could be associated with different configurations of cancellous screws, nonlinearities, experiments, and applications, are also proposed.

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Section: Discussionmentioning

confidence: 99%

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

et al. 2022

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“…Numerical simulations have been used to predict mechanobiological processes in the regions of fracture healing. Numerous finite-element (FE) models have been developed to analyze local mechanical responses to varying loading conditions (Ament and Hofer 2000;Claes et al 2002;Lacroix and Prendergast 2002;Shefelbine et al 2005;Simon et al 2011;Steiner et al 2013Steiner et al , 2014Wilson et al 2017;Wang and Yang 2018;Pietsch et al 2018;Ghiasi et al 2019;Engelhardt et al 2021). Such models have been used to study different factors that impact the healing process, for example the mechanics of the fixation hardware, or outcomes following inverse dynamization (Wehner et al 2014;Wilson et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Image-based radiodensity profilometry measures early remodeling at the bone-callus interface in sheep

Ren

Klein

Rechenberg

et al. 2022

Biomech Model Mechanobiol

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Bone healing has been traditionally described as a four-phase process: inflammatory response, soft callus formation, hard callus development, and remodeling. The remodeling phase has been largely neglected in most numerical mechanoregulation models of fracture repair in favor of capturing early healing using a pre-defined callus domain. However, in vivo evidence suggests that remodeling occurs concurrently with repair and causes changes in cortical bone adjacent to callus that are typically neglected in numerical models of bone healing. The objective of this study was to use image processing techniques to quantify this early-stage remodeling in ovine osteotomies. To accomplish this, we developed a numerical method for radiodensity profilometry with optimization-based curve fitting to mathematically model the bone density gradients in the radial direction across the cortical wall and callus. After assessing data from 26 sheep, we defined a dimensionless density fitting function that revealed significant remodeling occurring in the cortical wall adjacent to callus during early healing, a 23% average reduction in density compared to intact. This fitting function is robust for modeling radial density gradients in both intact bone and fracture repair scenarios and can capture a wide variety of the healing responses.The fitting function can also be scaled easily for comparison to numerical model predictions and may be useful for validating future mechanoregulatory models of coupled fracture repair and remodeling.

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“…Purpose of fracture treatment is to achieve the union of the bone fragments [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 ]. Moreover, it is to restore the function of the musculoskeletal system and prevent future complications associated with the failure of restoration of the normal anatomy [ 10 , 11 , 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

Quantitative Assessment of the Restoration of Original Anatomy after 3D Virtual Reduction of Long Bone Fractures

Kim

Yoon²,

Shin

et al. 2022

Diagnostics

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Background: The purpose of this study was to demonstrate the usefulness of 3D image-based virtual reduction by validating the evaluation criteria according to guidelines suggested by the AO Surgery Reference. Methods: For this experiment, 19 intact radial ORTHObones (ORTHObones radius, 3B Scientific, Germany, Hamburg) without any fractures were prepared. All ORTHObones with six cortical marking holes (three points on the distal part and three points on the proximal part) were scanned using a CT scanner twice (before/after intentional fracture of the ORTHObone). After the virtual reduction of all 19 ORTHObones, accuracy evaluations using the four criteria (length variation, apposition variation, alignment variation, Rotation Variation) suggested in the AO Surgery Reference were performed. Results: The mean (M) length variation was 0.42 mm, with 0.01 mm standard deviation (SD). The M apposition variation was 0.48 mm, with 0.40 mm SD. The M AP angulation variation (for alignment variation) was 3.24°, with 2.95° SD. The M lateral angulation variation (for alignment variation) was 0.09°, with 0.13° SD. The M angle of axial rotation was 1.27° with SD: 1.19°. Conclusions: The method of accuracy evaluation used in this study can be helpful in establishing a reliable plan.

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Simulating Metaphyseal Fracture Healing in the Distal Radius

Cited by 6 publications

References 51 publications

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

Image-based radiodensity profilometry measures early remodeling at the bone-callus interface in sheep

Quantitative Assessment of the Restoration of Original Anatomy after 3D Virtual Reduction of Long Bone Fractures

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