Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-06-16
J. Chem. Phys. Vol 110, number 2, pp 1252-1262 (1999)
Physics
Condensed Matter
Statistical Mechanics
24 pages, 10 figures, 2 tables
Scientific paper
10.1063/1.478168
In the framework of a lattice-model study of protein folding, we investigate the interplay between designability, thermodynamic stability, and kinetics. To be ``protein-like'', heteropolymers must be thermodynamically stable, stable against mutating the amino-acid sequence, and must be fast folders. We find two criteria which, together, guarantee that a sequence will be ``protein like'': i) the ground state is a highly designable stucture, i. e. the native structure is the ground state of a large number of sequences, and ii) the sequence has a large $\Delta/\Gamma$ ratio, $\Delta$ being the average energy separation between the ground state and the excited compact conformations, and $\Gamma$ the dispersion in energy of excited compact conformations. These two criteria are not incompatible since, on average, sequences whose ground states are highly designable structures have large $\Delta/\Gamma$ values. These two criteria require knowledge only of the compact-state spectrum. These claims are substantiated by the study of 45 sequences, with various values of $\Delta/\Gamma$ and various degrees of designability, by means of a Borst-Kalos-Lebowitz algorithm, and the Ferrenberg-Swendsen histogram optimization method. Finally, we report on the reasons for slow folding. A comparison between a very slow folding sequence, an average folding one and a fast folding one suggests that slow folding originates from a proliferation of nearly compact low-energy conformations, not present for fast folders.
Li Hao
Mélin Régis
Tang Changbing
Wingreen Ned S.
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