Figure 3.

Predictions of the in-plane principal stresses and maximum shear stress in the cell layer. (A) Side view of the mechanical model of the cell layer adhering to the patterned substrate via adhesion molecules. (B) Top view of the model. The cell monolayer is considered as a homogeneous membrane of a ring shape, with the inner and outer radii denoted by R₀ and R₁, respectively. (C) Predictions of the distribution of the in-plane minimum and maximum principal stresses, ${\sigma }_{\text{r}}$ and ${\sigma }_{\theta }$, as well as the in-plane maximum shear stress, ${\overline{\tau }}_{\max }$, for three different substrate stiffnesses. (D) Predictions of the distribution of the principal stresses and shear stress, ${\sigma }_{\text{r}}$, ${\sigma }_{\theta }$, and ${\overline{\tau }}_{\max }$, for rings of different inner radius. (E) Color maps of the maximum and minimum principal stresses and the maximum shear stress in the cell layer on the ring pattern for three different stiffnesses, corresponding to the results in (C). (F) Color maps of the maximum and minimum principal stress and the maximum shear stress in the cell layer on ring patterns with three different inner radii, corresponding to the results in (D). To see this figure in color, go online.