Variable-Scale Coarse-Graining in Macromolecular Global Optimization

We discuss the use of variable-scale coarse-graining for global minimization of macromolecular energy functions and compare three related methods. The Diffusion Equation Method and Adiabatic Gaussian Density Annealing are briefly reviewed and our Packet Annealing Method is discussed in more detail. All three methods dissect the global minimization problem into a sequence of local minimization problems on smoothed objective functions. They differ in the use of either energy averaging or free-energy averaging, the degree of anisotropy allowed in the objective function smoothing, and in tracking either single or multiple trajectories during the annealing procedure. Energy landscape scaling properties, which characterize the suitability of a potential landscape for this type of approach, are are also discussed.

[1]  H. Scheraga,et al.  Monte Carlo-minimization approach to the multiple-minima problem in protein folding. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[2]  David Shalloway,et al.  Application of the renormalization group to deterministic global minimization of molecular conformation energy functions , 1992, J. Glob. Optim..

[3]  H. Scheraga,et al.  On the multiple-minima problem in the conformational analysis of molecules: deformation of the potential energy hypersurface by the diffusion equation method , 1989 .

[4]  T. L. Blundell,et al.  Knowledge-based prediction of protein structures and the design of novel molecules , 1987, Nature.

[5]  H. Scheraga,et al.  Application of the diffusion equation method for global optimization to oligopeptides , 1992 .

[6]  H. A. Scheraga,et al.  Application of the diffusion equation method of global optimization to water clusters , 1992 .

[7]  Zhijun Wu,et al.  The Eeective Energy Transformation Scheme as a General Continuation Approach to Global Optimization with Application to Molecular Conformation , 2022 .

[8]  Thomas F. Coleman,et al.  A parallel build-up algorithm for global energy minimizations of molecular clusters using effective energy simulated annealing , 1993, J. Glob. Optim..

[9]  H. Scheraga,et al.  Performance of the diffusion equation method in searches for optimum structures of clusters of Lennard-Jones atoms , 1991 .

[10]  Jianpeng Ma,et al.  Simulated annealing using the classical density distribution , 1994 .

[11]  C. Brooks,et al.  Cluster structure determination using Gaussian density distribution global minimization methods , 1994 .

[12]  Thomas F. Coleman,et al.  Isotropic effective energy simulated annealing searches for low energy molecular cluster states , 1993, Comput. Optim. Appl..

[13]  K. Dill,et al.  The Protein Folding Problem , 1993 .

[14]  J. Onuchic,et al.  Funnels, pathways, and the energy landscape of protein folding: A synthesis , 1994, Proteins.

[15]  W. M. Carson,et al.  Drugs by design. , 1993, Scientific American.

[16]  M. Orešič,et al.  Hierarchical characterization of energy landscapes using Gaussian packet states , 1994 .

[17]  K. Dill Folding proteins: finding a needle in a haystack , 1993 .

[18]  John P. Overington,et al.  Knowledge‐based protein modelling and design , 1988 .

[19]  Christian Schlötterer,et al.  Chromosomal homogeneity of Drosophila ribosomal DNA arrays suggests intrachromosomal exchanges drive concerted evolution , 1994, Current Biology.

[20]  H. Scheraga,et al.  Energy parameters in polypeptides. 10. Improved geometrical parameters and nonbonded interactions for use in the ECEPP/3 algorithm, with application to proline-containing peptides , 1994 .

[21]  M. Karplus,et al.  Crystallographic R Factor Refinement by Molecular Dynamics , 1987, Science.

[22]  David Shalloway,et al.  Macrostates of classical stochastic systems , 1996 .