Lazopoulos Konstantinos A, Stamenović Dimitrije
Mechanics Laboratory, Faculty of Applied Sciences, National Technical University of Athens, Athens, Greece.
Mol Cell Biomech. 2006 Mar;3(1):43-8.
It is well documented that in response to substrate stretching adhering cells alter their orientation. Generally, the cells reorient away from the direction of the maximum substrate strain, depending upon the magnitude of the substrate strain and the state of cell contractility. Theoretical models from the literature can describe only some aspects of this phenomenon. In the present study, we developed a more comprehensive mathematical model of cell reorientation than the current models. Using the framework of theory of non-linear elasticity, we found that the problem of cell reorientation was a stability problem, with the global (Maxwell's) criterion for stability. For the case of uniaxial substrate stretching, we showed that cells would orient away from the direction of substrate strain such that the angle between the cell long axis and the direction of the substrate strain would increase with increasing magnitude of the strain. We also showed that at a given substrate strain this angle would be greater in cells having greater contractile strain. These results are consistent with experimental observations reported in the literature.
有充分文献记载，附着细胞会响应底物拉伸而改变其方向。一般来说，细胞会根据底物应变的大小和细胞收缩状态，从最大底物应变方向重新定向。文献中的理论模型只能描述这一现象的某些方面。在本研究中，我们开发了一个比当前模型更全面的细胞重新定向数学模型。利用非线性弹性理论框架，我们发现细胞重新定向问题是一个稳定性问题，具有全局（麦克斯韦）稳定性判据。对于单轴底物拉伸的情况，我们表明细胞会从底物应变方向重新定向，使得细胞长轴与底物应变方向之间的角度会随着应变大小的增加而增大。我们还表明，在给定的底物应变下，具有更大收缩应变的细胞中这个角度会更大。这些结果与文献中报道的实验观察结果一致。
