The solubility of proteins in membranes depends both on the protein pr
operties and membrane characteristics. In this paper, we calculate the
concentration of membrane inclusions as a function of their concentra
tion in solution and the physical properties of the membrane. We find
that the membrane deformation plays a key role in determining the adso
rption. When there is no thickness mismatch between the inclusions and
the membrane, the effective adsorption energy decreases with the lipi
d spontaneous curvature and hence strongly favors protein adsorption i
nto the membrane.