C. Jarque et B. Tidor, SIMULATED ANNEALING ON COUPLED FREE-ENERGY SURFACES - RELATIVE SOLVATION ENERGIES OF SMALL MOLECULES, JOURNAL OF PHYSICAL CHEMISTRY B, 101(45), 1997, pp. 9362-9374
A method previously presented for sampling coupled potential energy su
rfaces and selecting that with the most favorable free energy is exten
ded to perform a similar selection on the sum or difference of free en
ergies between two states. Whereas the original method is useful for s
electing a molecule based on its absolute stability, the new method al
lows selection based on its ability to drive a thermodynamic equilibri
um, such as binding. Operationally the original method locates the min
imum in Delta G(lambda) [lambda couples two chemical compounds], where
as the modified version performs the same task on Delta Delta G(lambda
), which is significantly more useful for molecular design strategies.
The new algorithm has been tested on the solvation free energy differ
ence between methanol and ethane, for which the Delta Delta G was calc
ulated to be 6.08 kcal/mol with a barrier of 1.08 or 3.55 kcal/mol (de
pending on problem formulation). Simulated annealing was able to rapid
ly and routinely locate the most favorable minimum. A significantly mo
re challenging artificial problem was also constructed with a calculat
ed Delta Delta G of -3.07 kcal/mol and a barrier height of 7.64 kcal/m
ol; methods described herein were also able to locate routinely the co
rrect minimum in Delta Delta G(lambda) for this problem.