Gao Jie, Williams John L, Roan Esra
Department of Mechanical Engineering, University of Memphis, Memphis, TN, 38135, USA.
Department of Biomedical Engineering, University of Memphis, Memphis, TN, 38135, USA.
Biomech Model Mechanobiol. 2017 Apr;16(2):667-679. doi: 10.1007/s10237-016-0844-8. Epub 2016 Oct 21.
Growth plate chondrocytes are responsible for bone growth through proliferation and differentiation. However, the way they experience physiological loads and regulate bone formation, especially during the later developmental phase in the mature growth plate, is still under active investigation. In this study, a previously developed multiscale finite element model of the growth plate is utilized to study the stress and strain distributions within the cartilage at the cellular level when rapidly compressed to 20 %. Detailed structures of the chondron are included in the model to examine the hypothesis that the same combination of mechanoregulatory signals shown to maintain cartilage or stimulate osteogenesis or fibrogenesis in the cartilage anlage or fracture callus also performs the same function at the cell level within the chondrons of growth plate cartilage. Our cell-level results are qualitatively and quantitatively in agreement with tissue-level theories when both hydrostatic cellular stress and strain are considered simultaneously in a mechanoregulatory phase diagram similar to that proposed at the tissue level by Claes and Heigele for fracture healing. Chondrocytes near the reserve/proliferative zone border are subjected to combinations of high compressive hydrostatic stresses ([Formula: see text] MPa), and cell height and width strains of [Formula: see text] to [Formula: see text] respectively, that maintain cartilage and keep chondrocytes from differentiating and provide conditions favorable for cell division, whereas chondrocytes closer to the hypertrophic/calcified zone undergo combinations of lower compressive hydrostatic stress ([Formula: see text] MPa) and cell height and width strains as low as [Formula: see text] to +4 %, respectively, that promote cell differentiation toward osteogenesis; cells near the outer periphery of the growth plate structure experience a combination of low compressive hydrostatic stress (0 to [Formula: see text] MPa) and high maximum principal strain (20-29 %) that stimulate cell differentiation toward fibrocartilage or fibrous tissue.
生长板软骨细胞通过增殖和分化负责骨骼生长。然而,它们感受生理负荷并调节骨形成的方式,尤其是在成熟生长板发育后期,仍在积极研究中。在本研究中,利用先前开发的生长板多尺度有限元模型,研究在快速压缩至20%时软骨细胞水平上软骨内的应力和应变分布。模型中包含了软骨细胞的详细结构,以检验以下假设:在软骨原基或骨折痂中显示可维持软骨或刺激成骨或纤维生成的相同机械调节信号组合,在生长板软骨的软骨细胞内细胞水平上也执行相同功能。当在类似于Claes和Heigele在组织水平上为骨折愈合提出的机械调节相图中同时考虑静水细胞应力和应变时,我们的细胞水平结果在定性和定量上与组织水平理论一致。储备/增殖区边界附近的软骨细胞受到高压缩静水应力([公式:见原文]MPa)的组合影响,细胞高度和宽度应变分别为[公式:见原文]至[公式:见原文],这些应力维持软骨并防止软骨细胞分化,并为细胞分裂提供有利条件,而更接近肥大/钙化区的软骨细胞受到较低压缩静水应力([公式:见原文]MPa)的组合影响,细胞高度和宽度应变分别低至[公式:见原文]至 +4%,这些应力促进细胞向成骨方向分化;生长板结构外周附近的细胞受到低压缩静水应力(0至[公式:见原文]MPa)和高最大主应变(20 - 29%)的组合影响,这些应力刺激细胞向纤维软骨或纤维组织分化。