Tc. Beutler et Wf. Vangunsteren, UMBRELLA SAMPLING ALONG LINEAR-COMBINATIONS OF GENERALIZED COORDINATES - THEORY AND APPLICATION TO A GLYCINE DIPEPTIDE, Chemical physics letters, 237(3-4), 1995, pp. 308-316
Umbrella sampling allows one to calculate potentials of mean force whi
ch can be used to determine free energy differences between, e.g., iso
meric states. If the potential of mean force is to be determined along
a linear combination of generalized coordinates, the proper choice of
the umbrella potential energy function requires some care. It is show
n what conditions the pathway must fulfil and what umbrella potential
energy function must be chosen. As an illustration, the method is appl
ied to a molecular dynamics study of the rotational isomers of a block
ed glycine dipeptide.