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通过扩散方程预测支架中的时空骨形成。

Prediction of spatio-temporal bone formation in scaffold by diffusion equation.

机构信息

Laboratory of Biomechanical Orthopedics, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.

出版信息

Biomaterials. 2011 Oct;32(29):7006-12. doi: 10.1016/j.biomaterials.2011.05.085. Epub 2011 Jun 23.

DOI:10.1016/j.biomaterials.2011.05.085
PMID:21700329
Abstract

Developing a successful bone tissue engineering strategy entails translation of experimental findings to clinical needs. A major leap forward toward this goal is developing a quantitative tool to predict spatial and temporal bone formation in scaffold. We hypothesized that bone formation in scaffold follows diffusion phenomenon. Subsequently, we developed an analytical formulation for bone formation, which had only three unknown parameters: C, the final bone volume fraction, α, the so-called scaffold osteoconduction coefficient, and h, the so-called peri-scaffold osteoinduction coefficient. The three parameters were estimated by identifying the model within vivo data of polymeric scaffolds implanted in the femoral condyle of rats. In vivo data were obtained by longitudinal micro-CT scanning of the animals. Having identified the three parameters, we used the model to predict the course of bone formation in two previously published in vivo studies. We found the predicted values to be consistent with the experimental ones. Bone formation into a scaffold can then adequately be described through diffusion phenomenon. This model allowed us to spatially and temporally predict the outcome of tissue engineering scaffolds with only 3 physically relevant parameters.

摘要

开发成功的骨组织工程策略需要将实验结果转化为临床需求。朝着这一目标迈出的一大步是开发一种定量工具来预测支架中空间和时间的骨形成。我们假设支架中的骨形成遵循扩散现象。随后,我们开发了一种用于骨形成的分析公式,该公式只有三个未知参数:C,最终的骨体积分数,α,所谓的支架成骨传导系数,和 h,所谓的支架周向成骨诱导系数。通过识别在大鼠股骨髁中植入的聚合物支架的体内数据来估计这三个参数。体内数据是通过对动物进行纵向 micro-CT 扫描获得的。确定了三个参数后,我们使用该模型预测了之前发表的两项体内研究中的骨形成过程。我们发现预测值与实验值一致。通过扩散现象可以充分描述支架中的骨形成。该模型允许我们仅使用 3 个物理相关参数在空间和时间上预测组织工程支架的结果。

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Balancing the rates of new bone formation and polymer degradation enhances healing of weight-bearing allograft/polyurethane composites in rabbit femoral defects.
平衡新骨形成和聚合物降解的速率可增强负重异体骨/聚氨酯复合材料在兔股骨缺损中的愈合。
Tissue Eng Part A. 2014 Jan;20(1-2):115-29. doi: 10.1089/ten.TEA.2012.0762. Epub 2013 Oct 2.