Folding in two-dimenensional off-lattice models of proteins
Mai Suan Li, Marek Cieplak

TL;DR
This paper investigates two-dimensional off-lattice protein models, demonstrating that native states can be reliably identified and that Go-like native contact models facilitate effective folding, while other contacts hinder it.
Contribution
It introduces off-lattice 2D protein models with native states near on-lattice targets and evaluates folding properties of different interaction schemes.
Findings
Native states are reliably determined via Monte Carlo methods.
Rank-ordering contact energies often fails in off-lattice models.
Go-like models with native contacts show good folding behavior.
Abstract
Model off-lattice sequences in two dimensions are constructed so that their native states are close to an on-lattice target. The Hamiltonian involves the Lennard-Jones and harmonic interactions. The native states of these sequences are determined with a high degree of certainty through Monte Carlo processes. The sequences are characterized thermodynamically and kinetically. It is shown that the rank-ordering-based scheme of the assignment of contact energies typically fails in off-lattice models even though it generates high stability of on-lattice sequences. Similar to the on-lattice case, Go-like modeling, in which the interaction potentials are restricted to the native contacts in a target shape, gives rise to good folding properties. Involving other contacts deteriorates these properties.
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