Quantifying the local strain energy density distribution in the mouse tibia: the critical role of the loading direction

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Abstract
Understanding how bone adapts to external forces is fundamental for exploring potential biomechanical interventions against skeletal diseases. This can be studied preclinically, combining in vivo experiments in rodents and in silico mechanoregulation models. While the in vivo tibial loading model is widely used to study bone adaptation, the common assumption of purely axial loading may be a simplification. This study quantifies the effect of the loading direction on the strain energy density (SED) distribution in the mouse tibia, a commonly used input for mechanoregulated bone remodelling models. To achieve this, validated micro-finite element (micro-FE) models were used to test the differences in local SED when the bone was loaded along different loading directions. In vivo micro-computed tomography (micro-CT) images were acquired from the tibiae of eleven ovariectomised mice at 18 weeks old before intervention and at 20 weeks old, after six mice underwent external mechanical loading. Micro-CT-based micro-FE models were generated for each tibia at both time points and loaded with a unit load in each Cartesian direction independently. The results from these unit load models were linearly combined to simulate various loading directions, defined by angles θ (inferior-superior) and ϕ (anterior–posterior). The results revealed a high sensitivity of the mouse tibia to the loading direction across both groups and time points. Several loading directions (e.g., θ = 10 ° , ϕ = 205–210 ° ) resulted in lower medians of the top 5% SED values compared to those obtained for the nominal axial case ( θ = 0 ° , ϕ = 0 ° ). Conversely, higher values were observed for other directions (e.g., θ = 30 ° , ϕ = 35–50 ° ). These findings emphasise the importance of considering the loading direction in experimental and computational bone adaptation studies.
Funding Information
  • Engineering and Physical Sciences Research Council (X/013991-12, EP/K03877X/1 and EP/S032940/1)
  • National Centre for the Replacement, Refinement and Reduction of Animals in Research (NC/R001073/1)

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