Abstract Modeling the evolution of bone density is relevant for understanding, simulation and possible prediction of bone response to external and internal influences. In this work we present a formulation for the bone density evolution process that takes into account not only the commonly considered mechanical stimulus, but, as novelty, also the influence of the availability of nutrients and hormones, with its implementation pursued within the finite element method. A simple uni-axial extension test is used to illustrate and compare our novel model against the classical approach. The results of the proposed modified model are promising for application to real-life problems.

中文翻译：

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关于生物利用度依赖的骨重建

摘要 对骨密度的演变建模与理解、模拟和可能预测骨对外部和内部影响的反应有关。在这项工作中，我们提出了一种骨密度演变过程的公式，该公式不仅考虑了通常认为的机械刺激，而且作为新颖性，还考虑了营养物质和激素可用性的影响，并在有限元方法中进行了实施. 使用简单的单轴延伸测试来说明和比较我们的新模型与经典方法。所提出的修改模型的结果有望应用于现实生活中的问题。