Membrane proteins can deform the lipid bilayer in which they are embed
ded. If the bilayer is treated as an elastic medium, then these deform
ations will generate elastic interactions between the proteins. The in
teraction between a single pair is repulsive. However, for three or mo
re proteins, we show that there are nonpainwise forces whose magnitude
is similar to the pairwise forces. When there are five or more protei
ns, we show that the nonpairwise forces permit the existence of stable
protein aggregates, despite their pairwise repulsions.