Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1995-12-14
Phys. Rev. Lett. 79 (1997) 765
Physics
Condensed Matter
Statistical Mechanics
Revised version. 4 pages, Latex
Scientific paper
10.1103/PhysRevLett.79.765
In a statistical approach to protein structure analysis, Miyazawa and Jernigan (MJ) derived a $20\times 20$ matrix of inter-residue contact energies between different types of amino acids. Using the method of eigenvalue decomposition, we find that the MJ matrix can be accurately reconstructed from its first two principal component vectors as $M_{ij}=C_0+C_1(q_i+q_j)+C_2 q_i q_j$, with constant $C$'s, and 20 $q$ values associated with the 20 amino acids. This regularity is due to hydrophobic interactions and a force of demixing, the latter obeying Hildebrand's solubility theory of simple liquids.
Li Hao
Tang Changbing
Wingreen Ned
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