Figure 6.

Perturbation of the membrane's shape by adhesive stresses. (a) Solutions for the membrane's curvature, for values of that range from approximately unity to 1.75 and which are marked in (b) by crosses. (b) The change in free energy as a function of the membrane's curvature towards the outer region. (c) The correction to the membrane's shape near the substrate owing to the adhesive interaction, for . The solid line is the solution to (4.8) and the dotted line is the leading-order solution of constant curvature given by the pinned solution. The pinned shape is translated upwards by to obtain the composite expansions shown in figure 5b.