Rapid exploration of configuration space with diffusion-map-directed molecular dynamics
Open accessAbstract
The gap between the time scale of interesting behavior in macromolecular systems and that which our computational resources can afford often limits molecular dynamics (MD) from understanding experimental results and predicting what is inaccessible in experiments. In this paper, we introduce a new sampling scheme, named diffusion-map-directed MD (DM-d-MD), to rapidly explore molecular configuration space. The method uses a diffusion map to guide MD on the fly. DM-d-MD can be combined with other methods to reconstruct the equilibrium free energy, and here, we used umbrella sampling as an example. We present results from two systems: alanine dipeptide and alanine-12. In both systems, we gain tremendous speedup with respect to standard MD both in exploring the configuration space and reconstructing the equilibrium distribution. In particular, we obtain 3 orders of magnitude of speedup over standard MD in the exploration of the configurational space of alanine-12 at 300 K with DM-d-MD. The method is reaction coordinate free and minimally dependent on a priori knowledge of the system. We expect wide applications of DM-d-MD to other macromolecular systems in which equilibrium sampling is not affordable by standard MD.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Diffusion maps have been used for adaptive exploration of conformation space along slow-process eigenfunctions.
“Diffusion maps have been used for adaptive exploration of the conformation space along the slow-process eigenfunctions [11].”
From Markov state models of biomolecular conformational dynamics (2014) · cites this paper as [11]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
GROMACS: Fast, flexible, and free
van der Spoel, D., Lindahl, E. R., Hess, B., Groenhof, G., Mark, A. E., & Berendsen, H. J. C. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20291 · Cited by 19,187 · see citing works
Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling
Torrie, G. M., & Valleau, J. P. (1977) · Journal of Computational Physics · doi:10.1016/0021-9991(77)90121-8 · Cited by 6,091 · see citing works
Laio, A., & Parrinello, M. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.202427399 · Cited by 5,626 · see citing works
Duan, Y., Wu, C., Chowdhury, S., Lee, M. C., Xiong, G., Zhang, W., Yang, R., Cieplak, P., Luo, R., Lee, T.-S., et al. (2003) · Journal of Computational Chemistry · doi:10.1002/jcc.10349 · Cited by 4,271 · see citing works
Coifman, R. R., & Lafon, S. (2006) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2006.04.006 · Cited by 2,380 · see citing works
Transition path sampling and the calculation of rate constants
Dellago, C., Bolhuis, P. G., Csajka, F. S., & Chandler, D. (1998) · The Journal of Chemical Physics · doi:10.1063/1.475562 · Cited by 1,066 · see citing works
Souaille, M., & Roux, B. (2001) · Computer Physics Communications · doi:10.1016/s0010-4655(00)00215-0 · Cited by 779 · see citing works
Everything you wanted to know about Markov State Models but were afraid to ask
Pande, V. S., Beauchamp, K., & Bowman, G. R. (2010) · Methods · doi:10.1016/j.ymeth.2010.06.002 · Cited by 698 · see citing works
A novel path sampling method for the calculation of rate constants
van Erp, T. S., Moroni, D., & Bolhuis, P. G. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1562614 · Cited by 567 · see citing works
Finite Temperature String Method for the Study of Rare Events
Weinan, E., Ren, W., & Vanden‐Eijnden, E. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp0455430 · Cited by 567 · see citing works
Maragliano, L., & Vanden‐Eijnden, E. (2006) · Chemical Physics Letters · doi:10.1016/j.cplett.2006.05.062 · Cited by 521 · see citing works
Simulating rare events in equilibrium or nonequilibrium stochastic systems
Allen, R. J., Frenkel, D., & ten Wolde, P. R. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2140273 · Cited by 394 · see citing works
Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems
Coifman, R., Kevrekidis, I., Lafon, S., Maggioni, M., & Nadler, B. (2008) · Multiscale Modeling & simulation · doi:10.1137/070696325 · Cited by 323 · see citing works
Determination of reaction coordinates via locally scaled diffusion map
Rohrdanz, M. A., Zheng, W., Maggioni, M., & Clementi, C. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3569857 · Cited by 292 · see citing works
Self-citationOn the use of the adiabatic molecular dynamics technique in the calculation of free energy profiles
Rosso, L., Mináry, P., Zhu, Z., & Tuckerman, M. E. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1448491 · Cited by 268 · see citing works
Kollman, P. A. (1996) · Accounts of Chemical Research · doi:10.1021/ar9500675 · Cited by 264 · see citing works
Rohrdanz, M. A., Zheng, W., & Clementi, C. (2013) · Annual Review of Physical Chemistry · doi:10.1146/annurev-physchem-040412-110006 · Cited by 242 · see citing works
Self-citationBlue Moon Sampling, Vectorial Reaction Coordinates, and Unbiased Constrained Dynamics
Ciccotti, G., Kapral, R., & Vanden‐Eijnden, E. (2005) · ChemPhysChem · doi:10.1002/cphc.200400669 · Cited by 190 · see citing works
Systematic determination of order parameters for chain dynamics using diffusion maps
Ferguson, A. L., Panagiotopoulos, A. Z., Debenedetti, P. G., & Kevrekidis, I. G. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1003293107 · Cited by 165 · see citing works
Nonlinear dimensionality reduction in molecular simulation: The diffusion map approach
Ferguson, A. L., Panagiotopoulos, A. Z., Kevrekidis, I. G., & Debenedetti, P. G. (2011) · Chemical Physics Letters · doi:10.1016/j.cplett.2011.04.066 · Cited by 165 · see citing works
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps
Singer, A., Radek Erban, A., Kevrekidis, I. G., & Coifman, R. R. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0905547106 · Cited by 151 · see citing works
Milestoning without a Reaction Coordinate
Májek, P., & Elber, R. (2010) · Journal of Chemical Theory and Computation · doi:10.1021/ct100114j · Cited by 112 · see citing works
Integrating diffusion maps with umbrella sampling: Application to alanine dipeptide
Ferguson, A. L., Panagiotopoulos, A. Z., Debenedetti, P. G., & Kevrekidis, I. G. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3574394 · Cited by 81 · see citing works
Polymer reversal rate calculated via locally scaled diffusion map
Zheng, W., Rohrdanz, M. A., Maggioni, M., & Clementi, C. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3575245 · Cited by 79 · see citing works
Self-citationDelineation of Folding Pathways of a β-Sheet Miniprotein
Zheng, W., Qi, B., Rohrdanz, M. A., Caflisch, A., Dinner, A. R., & Clementi, C. (2011) · The Journal of Physical Chemistry B · doi:10.1021/jp2076935 · Cited by 39 · see citing works
Self-citationZhou, T., & Caflisch, A. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct300147t · Cited by 24 · see citing works
Härdle, W. K., & Simar, L. (2012) · Springer eBooks · doi:10.1007/978-3-642-17229-8_16 · Cited by 4 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [26]Härdle W Simar L Applied Multivariate Statistical Analysis Springer Berlin, Germany 2012 397 412
Cited by
Sorted by citations
Markov state models of biomolecular conformational dynamics
Chodera, J. D., & Noé, F. (2014) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2014.04.002 · Cited by 776 · see citing works
Intrinsic map dynamics exploration for uncharted effective free-energy landscapes
Chiavazzo, E., Covino, R., Coifman, R. R., Gear, C. W., Georgiou, A. S., Hummer, G., & Kevrekidis, I. G. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1621481114 · Cited by 125 · see citing works
- Authors
- Zheng, W., Rohrdanz, M. A., & Clementi, C.
- Affiliations
- Rice University (US)
- Corresponding author
- Clementi, Cecilia
- Venue
- The Journal of Physical Chemistry B
- Publisher
- American Chemical Society (ACS)
- Published
- 2013-08-07
- Volume
- 117
- Issue
- 42
- Pages
- 12769-12776
- ISSN
- 1520-5207 (ISSN-L)
- 1520-6106
- PMC
- PMC3808479
- OpenAlex
- W2167077362
- Cited by
- 86
- References
- 27
- Citations by year
- 2026: 1 · 2025: 8 · 2023: 8 · 2022: 8 · 2021: 8 · 2020: 5 · 2019: 8 · 2018: 6 · 2017: 11 · 2016: 7 · 2015: 8 · 2014: 7 · 2013: 1
- FWCI
- 3.44
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- The Journal of Physical Chemistry B (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- Rice Research Repository (Rice University) (acceptedVersion)
- Rice Research Repository (Rice University) (submittedVersion)
- Funders
- National Institutes of Health (1s10rr002950-01)
- National Center for Research Resources (S10RR029501, S10RR02950)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
- Keywords
- configuration space exploration, umbrella sampling, alanine dipeptide
- MeSH terms
- Alanine, Diffusion, Dipeptides, Hydrogen Bonding, Temperature, Thermodynamics, Protein Folding, Molecular Dynamics Simulation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review