Yn. Vorobjev et J. Hermans, ES/IS: Estimation of conformational free energy by combining dynamics simulations with explicit solvent with an implicit solvent continuum model, BIOPHYS CH, 78(1-2), 1999, pp. 195-205
This paper reviews a recently developed method for calculating the total co
nformational free energy of a solute macromolecule in water solvent. The me
thod consists of a relatively short simulation by molecular dynamics with e
xplicit solvent molecules (ES) to produce a set of microstates of the macro
scopic conformation. Conformational internal solute energy and entropy are
obtained from the simulation, the latter in the quasi-harmonic approximatio
n by analysis of the covariance matrix. The implicit solvent (IS) surface e
nergy-dielectric continuum model is used to calculate the average solvation
free energy as the sum of the free energies of creating the solute-size hy
drophobic cavity, of the van der Waals solute-solvent interactions and of t
he polarization of water solvent by the solute's charges. We have earlier a
pplied this method to calculate the conformational free energy of native an
d intentionally misfolded globular conformations of proteins (the EMBL set
of deliberately misfolded proteins), and have obtained good discrimination
in favor of the native conformations in all instances. These results are su
mmarized and further analyzed to show that, on average, three major compone
nt terms of the free energy all contribute in favor of discrimination. We d
iscuss possible improvements of the ES/IS method. It is shown how the force
field can be made self-consistent by adapting the parameters for calculati
on of surface and polarization free energies closely to the molecular mecha
nics force field used in the dynamics simulation, using established simulat
ion methods to compute free energies for cavity formation and a charging pr
ocess with the molecular mechanics force field to provide a set of (quasi-e
xperimental) reference data that can be used to refine the parameters of th
e continuum models. The molecular surface area together with a microscopic
surface free energy near 70 cal/(mol Angstrom(2)) is found to be a consiste
nt descriptor of the cavity free energy. Preliminary results indicate that
a linear-response approximation for the polarization of water solvent react
ion near typical polar and charged protein groups is accurate to within app
roximately 90%. (C) 1999 Elsevier Science B.V. All rights reserved.