Fig. 6.

The configurations of perturbed $r=r-m\mathit{ϵ}u(r)sin(m\mathit{\theta })$ from the $u_{wkb}(r)$ satisfying the boundary conditions are plotted, setting an arbitrary finite value for the perturbation amplitude $\mathit{ϵ}$. a $m=20$ when $R_0/d=20$. b $m=10$ when $R_0/d=5$. c $m=3$ when $R_0/d=5$. d $m=2$ when $R_0/d=5$. Both the wound border and the interface between the proliferating and non-proliferating region are deformed. For $m=2$ the normal stress ($\mathbf{e}$) and the shear stress ($\mathbf{f}$) in the first order of $\mathit{ϵ}$ is plotted by the left hand side of Eqs. (12) and (13). Notice although the frontier is free of both stresses (orange), the undulation of the wound results in compression (black for the normal stress plot) or tension (white for the normal stress plot), and shear (non-orange areas for the shear stress plot) to the tissue behind the border. The stresses penetrate to the surrounding tissue due to the continuity (not shown)