Structural Determinant of Protein Designability
Abstract
Here we present an analytical theory for the relationship between a protein structure's contact matrix and the shape of its energy spectrum in amino acid sequence space. We demonstrate a dependence of the number of sequences of low energy in a structure on the eigenvalues of the structure's contact matrix, and then confirm the validity of our analytical result using a Monte Carlo simulation. We find that the structures with the most low-energy sequences exhibit some striking symmetries and regularities reminiscent of protein secondary structure. We argue that given sufficiently strict requirements for foldability, these structures are the most designable.Keywords
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