Literature DB >> 16821906

Analysis of the statistical error in umbrella sampling simulations by umbrella integration.

Johannes Kästner1, Walter Thiel.   

Abstract

Umbrella sampling simulations, or biased molecular dynamics, can be used to calculate the free-energy change of a chemical reaction. We investigate the sources of different sampling errors and derive approximate expressions for the statistical errors when using harmonic restraints and umbrella integration analysis. This leads to generally applicable rules for the choice of the bias potential and the sampling parameters. Numerical results for simulations on an analytical model potential are presented for validation. While the derivations are based on umbrella integration analysis, the final error estimate is evaluated from the raw simulation data, and it may therefore be generally applicable as indicated by tests using the weighted histogram analysis method.

Year:  2006        PMID: 16821906     DOI: 10.1063/1.2206775

Source DB:  PubMed          Journal:  J Chem Phys        ISSN: 0021-9606            Impact factor:   3.488


  18 in total

1.  Impact of mutation on proton transfer reactions in ketosteroid isomerase: insights from molecular dynamics simulations.

Authors:  Dhruva K Chakravorty; Sharon Hammes-Schiffer
Journal:  J Am Chem Soc       Date:  2010-06-02       Impact factor: 15.419

2.  Pairwise-additive force fields for selected aqueous monovalent ions from adaptive force matching.

Authors:  Jicun Li; Feng Wang
Journal:  J Chem Phys       Date:  2015-11-21       Impact factor: 3.488

3.  "Proton holes" in long-range proton transfer reactions in solution and enzymes: A theoretical analysis.

Authors:  Demian Riccardi; Peter König; Xavier Prat-Resina; Haibo Yu; Marcus Elstner; Thomas Frauenheim; Qiang Cui
Journal:  J Am Chem Soc       Date:  2006-12-20       Impact factor: 15.419

4.  Implementation of umbrella integration within the framework of the empirical valence bond approach.

Authors:  Dhruva K Chakravorty; Malika Kumarasiri; Alexander V Soudackov; Sharon Hammes-Schiffer
Journal:  J Chem Theory Comput       Date:  2008       Impact factor: 6.006

5.  Roadmaps through free energy landscapes calculated using the multi-dimensional vFEP approach.

Authors:  Tai-Sung Lee; Brian K Radak; Ming Huang; Kin-Yiu Wong; Darrin M York
Journal:  J Chem Theory Comput       Date:  2014-01-14       Impact factor: 6.006

6.  Advantages of a distant cellulase catalytic base.

Authors:  Tucker Burgin; Jerry Ståhlberg; Heather B Mayes
Journal:  J Biol Chem       Date:  2018-01-10       Impact factor: 5.157

7.  Computational approach for ranking mutant enzymes according to catalytic reaction rates.

Authors:  Malika Kumarasiri; Gregory A Baker; Alexander V Soudackov; Sharon Hammes-Schiffer
Journal:  J Phys Chem B       Date:  2009-03-19       Impact factor: 2.991

8.  A New Maximum Likelihood Approach for Free Energy Profile Construction from Molecular Simulations.

Authors:  Tai-Sung Lee; Brian K Radak; Anna Pabis; Darrin M York
Journal:  J Chem Theory Comput       Date:  2012-12-12       Impact factor: 6.006

9.  Vacancy-mediated dehydrogenation of sodium alanate.

Authors:  Hakan Gunaydin; Kendall N Houk; Vidvuds Ozolins
Journal:  Proc Natl Acad Sci U S A       Date:  2008-02-25       Impact factor: 11.205

10.  Hybrid quantum/classical molecular dynamics simulations of the proton transfer reactions catalyzed by ketosteroid isomerase: analysis of hydrogen bonding, conformational motions, and electrostatics.

Authors:  Dhruva K Chakravorty; Alexander V Soudackov; Sharon Hammes-Schiffer
Journal:  Biochemistry       Date:  2009-11-10       Impact factor: 3.162

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