Stolarska Magdalena A, Rammohan Aravind R
Department of Mathematics, University of St. Thomas, St. Paul, MN, United States of America.
Advanced Modeling and Analysis, Corning Incorporated, Corning, NY, United States of America.
PLoS One. 2017 Feb 3;12(2):e0171430. doi: 10.1371/journal.pone.0171430. eCollection 2017.
Focal adhesions are often observed at the cell's periphery. We provide an explanation for this observation using a system-level mathematical model of a cell interacting with a two-dimensional substrate. The model describes the biological cell as a hypoelastic continuum material whose behavior is coupled to a deformable, linear elastic substrate via focal adhesions that are represented by collections of linear elastic attachments between the cell and the substrate. The evolution of the focal adhesions is coupled to local intracellular stresses which arise from mechanical cell-substrate interactions. Using this model we show that the cell has at least three mechanisms through which it can control its intracellular stresses: focal adhesion position, size, and attachment strength. We also propose that one reason why focal adhesions are typically located on the cell periphery instead of its center is because peripheral focal adhesions allow the cell to be more sensitive to changes in the microenvironment. This increased sensitivity is caused by the fact that peripherally located focal adhesions allow the cells to modulate its intracellular properties over a much larger portion of the cell area.
粘着斑常在细胞周边被观察到。我们使用一个细胞与二维基质相互作用的系统级数学模型来解释这一观察结果。该模型将生物细胞描述为一种次弹性连续介质材料,其行为通过粘着斑与可变形的线性弹性基质耦合,粘着斑由细胞与基质之间的线性弹性附着集合表示。粘着斑的演化与由机械性细胞 - 基质相互作用产生的局部细胞内应力耦合。使用这个模型,我们表明细胞至少有三种机制来控制其细胞内应力:粘着斑位置、大小和附着强度。我们还提出粘着斑通常位于细胞周边而非中心的一个原因是,周边粘着斑使细胞对微环境变化更敏感。这种增加的敏感性是由于周边粘着斑使细胞能够在更大的细胞面积部分调节其细胞内特性这一事实导致的。