## Abstract The weighted histogram analysis method (WHAM) has become the standard technique for the analysis of umbrella sampling simulations. In this article, we address the challenges (1) of obtaining fast and accurate solutions of the coupled nonlinear WHAM equations, (2) of quantifying the stat
Multidimensional free-energy calculations using the weighted histogram analysis method
β Scribed by Shankar Kumar; John M. Rosenberg; Djamal Bouzida; Robert H. Swendsen; Peter A. Kollman
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 824 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0192-8651
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β¦ Synopsis
The recently formulated weighted histogram analysis method (WHAM)' is an extension of Ferrenberg and Swendsen's multiple histogram technique for freeenergy and potential of mean force calculations. As an illustration of the method, we have calculated the two-dimensional potential of mean force surface of the dihedrals gamma and chi in deoxyadenosine with Monte Carlo simulations using the all-atom and united-atom representation of the AMBER force fields. This also demonstrates one of the major advantages of WHAM over umbrella sampling techniques. The method also provides an analysis of the statistical accuracy of the potential of mean force as well as a guide to the most efficient use of additional simulations to minimize errors.
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A challenge in free energy calculation for complex molecular systems by computer simulation is to obtain a reliable estimate within feasible computational time. In this study, we suggest an answer to this challenge by exploring a simple method, overlap sampling (OS), for producing reliable free-ener