Enhanced self-attraction of proteins and its evolutionary implications
  Statistical analysis of protein-protein interactions shows anomalously high frequency of homodimers [Ispolatov, I., et al. (2005) Nucleic Acids Res 33, 3629-35]. Furthermore, recent findings [Wright, C.F., et al. (2005) Nature 438, 878-81] demonstrate that maintaining low sequence identity is a key evolutionary mechanism that inhibits protein aggregation. Here, we study statistical properties of interacting protein-like surfaces and predict the effect of universal, enhanced self-attraction of proteins. The effect originates in the fact that a pattern self-match between two identical, even randomly organized interacting protein surfaces is always stronger compared to the pattern match between two different, promiscuous protein surfaces. This finding implies an increased probability of homodimer selection in the course of early evolution. Our simple model of early evolutionary selection of interacting proteins accurately reproduces the experimental data on homodimer interface aminoacid compositions. In addition, we predict that heterodimers evolved from homodimers with the negative design evolutionary pressure applied against promiscuous homodimer formation. We predict that the anti-homodimer negative design evolutionary signal is conveyed through the enrichment of heterodimeric interfaces in polar residues, and most profoundly in glutamic acid and lysine, which is consistent with experimental findings. We predict therefore that the negative design against homodimers is the 
D.B. Lyjatsky and E.I.Shakhnovich