Harrigan T P, Hamilton J J, Reuben J D, Toni A, Viceconti M
Department of Orthopedic Surgery, University of Texas Health Center at Houston 77030, USA.
Biomaterials. 1996 Jan;17(2):223-32. doi: 10.1016/0142-9612(96)85767-x.
The internal parameters in bone remodelling theories often are not clearly related to the bony structure which results from the simulations in which they are implemented. For a restricted class of bone remodelling theories, we have previously found a connection between overall structural optimization and the parameters within a continuum-level remodelling rule. In this study, we assess whether a simplified analytical formula based on structural optimization can predict the behaviour of a large-scale finite element bone remodelling simulation. The analytical formula predicts when bone will remain around an intramedullary implant. The predictions of the formula are borne out in the numerical results. This leads to a physical interpretation of one of the two parameters in the remodelling rule used. The results also show some characteristics which are clinically relevant. This study extends earlier results due to Huiskes for internal remodelling around intramedullary implants by using a different, numerically stable remodelling algorithm based on optimization. The study also shows a direct practical application of the optimizing remodelling theory the authors have developed previously.
骨重塑理论中的内部参数通常与实施这些参数的模拟所产生的骨结构没有明确的关联。对于一类受限的骨重塑理论，我们之前已经发现了整体结构优化与连续水平重塑规则中的参数之间的联系。在本研究中，我们评估基于结构优化的简化解析公式是否能够预测大规模有限元骨重塑模拟的行为。该解析公式可预测骨何时会保留在髓内植入物周围。公式的预测结果在数值结果中得到了证实。这导致了对所用重塑规则中两个参数之一的物理解释。结果还显示了一些具有临床相关性的特征。本研究通过使用基于优化的不同数值稳定重塑算法，扩展了Huiskes早期关于髓内植入物周围内部重塑的结果。该研究还展示了作者之前开发的优化重塑理论的直接实际应用。
