Institute for Theoretical Physics and BioQuant, Heidelberg University, Heidelberg, Germany.
Institute for Theoretical Physics and BioQuant, Heidelberg University, Heidelberg, Germany.
Biophys J. 2014 Jun 3;106(11):2340-52. doi: 10.1016/j.bpj.2014.04.036.
Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft elastic substrates. To predict the dynamics and steady states of cell shape and forces without any a priori knowledge of how the cell will spread on a given micropattern, here we extend earlier formulations of the two-dimensional cellular Potts model. The third dimension is treated as an area reservoir for spreading. To account for local contour reinforcement by peripheral bundles, we augment the cellular Potts model by elements of the tension-elasticity model. We first parameterize our model and show that it accounts for momentum conservation. We then demonstrate that it is in good agreement with experimental data for shape, spreading dynamics, and traction force patterns of cells on micropatterned substrates. We finally predict shapes and forces for micropatterns that have not yet been experimentally studied.
微图案化基板常用于标准化细胞实验和定量研究细胞形状和功能之间的关系。此外，它们越来越多地与软弹性基板上的牵引力显微镜结合使用。为了在对给定微图案的细胞如何扩展没有任何先验知识的情况下预测细胞形状和力的动力学和稳态，我们在这里扩展了二维细胞 Potts 模型的早期公式。第三维被视为扩展的面积储备。为了说明通过外围束对局部轮廓的加强，我们通过张力弹性模型的元素来扩充细胞 Potts 模型。我们首先对模型进行参数化，并证明它符合动量守恒。然后，我们证明它与细胞在微图案化基板上的形状、扩展动力学和牵引力模式的实验数据吻合良好。最后，我们预测了尚未进行实验研究的微图案的形状和力。
