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结合组织分化的机械调节以及细胞扩散/增殖的骨折愈合模拟

Simulation of fracture healing incorporating mechanoregulation of tissue differentiation and dispersal/proliferation of cells.

作者信息

Andreykiv A, van Keulen F, Prendergast P J

机构信息

Faculty of Mechanical, Maritime and Material Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands.

出版信息

Biomech Model Mechanobiol. 2008 Dec;7(6):443-61. doi: 10.1007/s10237-007-0108-8. Epub 2007 Oct 31.

Abstract

Modelling the course of healing of a long bone subjected to loading has been the subject of several investigations. These have succeeded in predicting the differentiation of tissues in the callus in response to a static mechanical load and the diffusion of biological factors. In this paper an approach is presented which includes both mechanoregulation of tissue differentiation and the diffusion and proliferation of cell populations (mesenchymal stem cells, fibroblasts, chondrocytes, and osteoblasts). This is achieved in a three-dimensional poroelastic finite element model which, being poroelastic, can model the effect of the frequency of dynamic loading. Given the number of parameters involved in the simulation, a parameter variation study is reported, and final parameters are selected based on comparison with an in vivo experiment. The model predicts that asymmetric loading creates an asymmetric distribution of tissues in the callus, but only for high bending moments. Furthermore the frequency of loading is predicted to have an effect. In conclusion, a numerical algorithm is presented incorporating both mechanoregulation and evolution of cell populations, and it proves capable of predicting realistic difference in bone healing in a 3D fracture callus.

摘要

对承受负荷的长骨愈合过程进行建模一直是多项研究的主题。这些研究成功地预测了骨痂中组织在静态机械负荷作用下的分化以及生物因子的扩散。本文提出了一种方法,该方法既包括组织分化的机械调节,也包括细胞群体(间充质干细胞、成纤维细胞、软骨细胞和成骨细胞)的扩散与增殖。这是在一个三维多孔弹性有限元模型中实现的,该模型由于具有多孔弹性,能够模拟动态负荷频率的影响。鉴于模拟中涉及的参数数量,报告了一项参数变化研究,并根据与体内实验的比较选择了最终参数。该模型预测,不对称负荷会在骨痂中产生不对称的组织分布,但仅在高弯矩情况下如此。此外,预计负荷频率也会产生影响。总之,本文提出了一种结合了机械调节和细胞群体演化的数值算法,并且证明它能够预测三维骨折骨痂中骨愈合的实际差异。

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