Cited by 6,808Advanced Physical and Chemical Molecular InteractionsProtein Structure and DynamicsComputational Drug Discovery Methods

THE weighted histogram analysis method for free‐energy calculations on biomolecules. I. The method

Kumar, Shankar, Rosenberg, John M., Bouzida, Djamal, Swendsen, Robert H., Kollman, Peter A.·1992·Journal of Computational Chemistry

Abstract

The Weighted Histogram Analysis Method (WHAM), an extension of Ferrenberg and Swendsen's Multiple Histogram Technique, has been applied for the first time on complex biomolecular Hamiltonians. The method is presented here as an extension of the Umbrella Sampling method for free‐energy and Potential of Mean Force calculations. This algorithm possesses the following advantages over methods that are currently employed: (1) It provides a built‐in estimate of sampling errors thereby yielding objective estimates of the optimal location and length of additional simulations needed to achieve a desired level of precision; (2) it yields the “best” value of free energies by taking into account all the simulations so as to minimize the statistical errors; (3) in addition to optimizing the links between simulations, it also allows multiple overlaps of probability distributions for obtaining better estimates of the free‐energy differences. By recasting the Ferrenberg–Swendsen Multiple Histogram equations in a form suitable for molecular mechanics type Hamiltonians, we have demonstrated the feasibility and robustness of this method by applying it to a test problem of the generation of the Potential of Mean Force profile of the pseudorotation phase angle of the sugar ring in deoxyadenosine. © 1992 by John Wiley & Sons, Inc.

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Crossref · 10.1002/jcc.540130812

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  • Final relative free energy differences were calculated with WHAM, and statistical errors were estimated using bootstrapping.

    “Final relative free energy differences were calculated with WHAM144, and statistical errors were estimated using bootstrapping.”

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Authors
Kumar, S., Rosenberg, J. M., Bouzida, D., Swendsen, R. H., & Kollman, P. A.
Affiliations
  • University of Pittsburgh (US)
  • Carnegie Mellon University (US)
  • University of California, San Francisco (US)
Corresponding author
Rosenberg, John M.
Venue
Journal of Computational Chemistry
Publisher
Wiley
Published
1992-10
Volume
13
Issue
8
Pages
1011-1021
ISSN
  • 0192-8651 (ISSN-L)
  • 1096-987X
OpenAlex
W2112154906
Cited by
6,808
References
0
Citations by year
2026: 330 · 2025: 388 · 2024: 395 · 2023: 365 · 2022: 407 · 2021: 450 · 2020: 392 · 2019: 390 · 2018: 388 · 2017: 369 · 2016: 346 · 2015: 311 · 2014: 328 · 2013: 286 · 2012: 261
FWCI
2.02
Type
journal article
Language
en
Open access
closed
Locations
Journal of Computational Chemistry (publishedVersion)
Topics
  • Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
Keywords
weighted histogram analysis method, free energy calculation, umbrella sampling, potential of mean force, sampling error estimation, deoxyadenosine, molecular mechanics

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