Coarse-grained molecular dynamics simulations
offer a dramatic extension
of the time-scale
of simulations compared to all-atom approaches. In this article, we describe the use
of the
physics-based
united-residue (UNRES) force field, developed in our laboratory, in protein-structure simulations. We demonstrate that this force field
offers about a 4000-times extension
of the simulation time scale; this feature arises both from averaging out the fast-moving degrees
of freedom and reduction
of the cost
of energy and force calculations compared to all-atom approaches with explicit solvent. With massively parallel computers, microsecond folding simulation times
of proteins containing about 1000 residues can be obtained in days. A straightforward application
of canonical UNRES/MD simulations, demonstrated with the example
of the N-terminal part
of the B-domain
of staphylococcal protein A (PDB code:
1BDD, a three-α-helix bundle), discerns the folding mechanism and determines kinetic parameters by parallel simulations
of several hundred or more trajectories. Use
of generalized-ensemble techniques,
of which the multiplexed replica exchange method proved to be the most effective, enables us to compute thermodynamics
of folding and carry out fully
physics-based prediction
of protein structure, in which the predicted structure is determined as a mean over the most populated ensemble below the folding-transition temperature. By using principal component analysis
of the UNRES folding trajectories
of the formin-binding protein WW domain (PDB code:
1E0L; a three-stranded antiparallel β-sheet) and
1BDD, we identified representative structures along the folding pathways and demonstrated that only a few (low-indexed) principal components can capture the main structural features
of a protein-folding trajectory; the potentials
of mean force calculated along these essential modes exhibit multiple minima, as opposed to those along the remaining modes that are unimodal. In addition, a comparison between the structures that are representative
of the minima in the free-energy pr
ofile along the essential collective coordinates
of protein folding (computed by principal component analysis) and the free-energy pr
ofile projected along the virtual-bond dihedral angles γ
of the backbone revealed the key residues involved in the transitions between the different basins
of the folding free-energy pr
ofile, in agreement with existing experimental data for
1E0L.