Fundamental questions about role of the quaternary structures are addressed
by using a statistical mechanics off-lattice model of a dimer protein. The
model, in spite of its simplicity, captures key features of the monomer-mo
nomer interactions revealed by atomic force experiments. Force curves durin
g association and dissociation processes are characterized by sudden jumps
followed by smooth behavior and form hysteresis loops. Furthermore, the pro
cess is reversible in a finite range of temperature stabilizing the dimer,
and the width of the hysteresis loop increases as the design procedure impr
oves: i.e., stabilizes the dimer more. It is shown that, in the interface b
etween the two monomeric subunits, the design procedure naturally favors th
ose amino acids whose mutual interaction is stronger.