Conformational memories and a simulated annealing program that learns: Application to LTB4

The use of computer simulations in all areas of chemistry is growing rapidly because of the powerful insights that they have provided into many interesting phenomena. As investigators continuously examine more sophisticated problems, they need increasingly more powerful tools. Hence, much effort has gone into the development of algorithms which might extend the scope and power of standard dynamic and Monte Carlo techniques. In the Monte Carlo regime, the most common area subject to improvement is the choice of a trial move. In the ordinary case, trial moves are generated uniformly at random. In the extended and hopefully improved case, trial moves are generated randomly but not uniformly. In this article we present a new and totally general method of biased sampling which is applicable to any flexible molecule. In our method, multiple simulated annealing runs are performed to reveal populated and unpopulated regions of the multidimensional conformation space. The second phase of the simulation is done at a fixed temperature with sampling only from populated regions found in the first phase. Because the simulated annealing runs quickly reveal unpopulated regions of the conformation space, the volume of conformation space that needs to be sampled in the second phase of the algorithm is reduced by many orders of magnitude. Additionally, because no energy minimization is used, these populations represent a canonical ensemble which may be used to estimate conformational free energies. © 1995 by John Wiley & Sons, Inc.

[1]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[2]  H. C. Andersen Molecular dynamics simulations at constant pressure and/or temperature , 1980 .

[3]  Luis Garrido,et al.  Statistical Mechanics of Neural Networks , 1990 .

[4]  W. L. Jorgensen Free energy calculations: a breakthrough for modeling organic chemistry in solution , 1989 .

[5]  T. G. Fox,et al.  Dilute Solution Hydrodynamic Behavior of Flexible Chain Molecules: Polymethyl Methacrylate , 1953 .

[6]  Stephen R. Wilson,et al.  Conformational Analysis of Flexible Molecules: Location of the Global Minimum Energy Conformation by the Simulated Annealing Method , 1988 .

[7]  H. Berendsen,et al.  A LEAP-FROG ALGORITHM FOR STOCHASTIC DYNAMICS , 1988 .

[8]  Stephen R. Wilson,et al.  Applications of simulated annealing to the conformational analysis of flexible molecules , 1991 .

[9]  R. Murphy,et al.  Introduction of a nomenclature: leukotrienes. , 1979, Prostaglandins.

[10]  William G. Hoover,et al.  Melting Transition and Communal Entropy for Hard Spheres , 1968 .

[11]  Stephen R. Wilson,et al.  Calculation of rotational states of flexible molecules using simulated annealing , 1991 .

[12]  Peter A. Kollman,et al.  FREE ENERGY CALCULATIONS : APPLICATIONS TO CHEMICAL AND BIOCHEMICAL PHENOMENA , 1993 .

[13]  B. Berne,et al.  Monte Carlo methods for accelerating barrier crossing: Anti-force-bias and variable step algorithms , 1990 .

[14]  M. Rao,et al.  On the force bias Monte Carlo simulation of simple liquids , 1979 .

[15]  B. Alder,et al.  Velocity Autocorrelations for Hard Spheres , 1967 .

[16]  W. Clark Still,et al.  A rapidly convergent simulation method: Mixed Monte Carlo/stochastic dynamics , 1994, J. Comput. Chem..

[17]  R. Tolman,et al.  The Principles of Statistical Mechanics. By R. C. Tolman. Pp. xix, 661. 40s. 1938. International series of monographs on physics. (Oxford) , 1939, The Mathematical Gazette.

[18]  Martin Saunders,et al.  Conformations of cycloheptadecane. A comparison of methods for conformational searching , 1990 .

[19]  Simulated annealing of rings using an exact ring closure algorithm , 1992 .

[20]  J. D. Doll,et al.  Brownian dynamics as smart Monte Carlo simulation , 1978 .

[21]  Dieter W. Heermann,et al.  Hybrid molecular dynamics , 1990 .

[22]  S. Wilson,et al.  Applications of simulated annealing to peptides , 1990, Biopolymers.

[23]  R. Hoult The leukotrienes: Their biological significance , 1987 .

[24]  J. Mccammon,et al.  Dynamics of Proteins and Nucleic Acids , 2018 .