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Title: Restrained Proton Indicator in Combined Quantum-Mechanics/Molecular-Mechanics Dynamics Simulations of Proton Transfer through a Carbon Nanotube

Abstract

Recently, a collective variable “proton indicator” was purposed for tracking an excess proton solvated in bulk water in molecular dynamics simulations. In this work, we demonstrate the feasibility of utilizing the position of this proton indicator as a reaction coordinate to model an excess proton migrating through a hydrophobic carbon nanotube in combined quantum-mechanics/molecular-mechanics simulations. Our results indicate that applying a harmonic restraint to the proton indicator in the bulk solvent near the nanotube pore entrance leads to the recruitment of water molecules into the pore. This is consistent with an earlier study that employed a multistate empirical valence bond potential and a different representation (center of excess charge) of the proton. We attribute this water recruitment to the delocalized nature of the solvated proton, which prefers to be in high-dielectric bulk solvent. While water recruitment into the pore is considered an artifact in the present simulations (because of the artificially imposed restraint on the proton), if the proton were naturally restrained, it could assist in building water wires prior to proton transfer through the pore. The potential of mean force for a proton translocation through the water-filled pore was computed by umbrella sampling, where the bias potentials were appliedmore » to the proton indicator. The free energy curve and barrier heights agree reasonably with those in the literature. Finally, the results suggest that the proton indicator can be used as a reaction coordinate in simulations of proton transport in confined environments.« less

Authors:
 [1]; ORCiD logo [1]
  1. Univ. of Colorado, Denver, CO (United States). Chemistry Dept.
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1480293
Grant/Contract Number:  
CHE-140070; ACI-1053575
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry
Additional Journal Information:
Journal Volume: 121; Journal Issue: 36; Journal ID: ISSN 1520-6106
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Duster, Adam W., and Lin, Hai. Restrained Proton Indicator in Combined Quantum-Mechanics/Molecular-Mechanics Dynamics Simulations of Proton Transfer through a Carbon Nanotube. United States: N. p., 2017. Web. doi:10.1021/acs.jpcb.7b06657.
Duster, Adam W., & Lin, Hai. Restrained Proton Indicator in Combined Quantum-Mechanics/Molecular-Mechanics Dynamics Simulations of Proton Transfer through a Carbon Nanotube. United States. https://doi.org/10.1021/acs.jpcb.7b06657
Duster, Adam W., and Lin, Hai. Fri . "Restrained Proton Indicator in Combined Quantum-Mechanics/Molecular-Mechanics Dynamics Simulations of Proton Transfer through a Carbon Nanotube". United States. https://doi.org/10.1021/acs.jpcb.7b06657. https://www.osti.gov/servlets/purl/1480293.
@article{osti_1480293,
title = {Restrained Proton Indicator in Combined Quantum-Mechanics/Molecular-Mechanics Dynamics Simulations of Proton Transfer through a Carbon Nanotube},
author = {Duster, Adam W. and Lin, Hai},
abstractNote = {Recently, a collective variable “proton indicator” was purposed for tracking an excess proton solvated in bulk water in molecular dynamics simulations. In this work, we demonstrate the feasibility of utilizing the position of this proton indicator as a reaction coordinate to model an excess proton migrating through a hydrophobic carbon nanotube in combined quantum-mechanics/molecular-mechanics simulations. Our results indicate that applying a harmonic restraint to the proton indicator in the bulk solvent near the nanotube pore entrance leads to the recruitment of water molecules into the pore. This is consistent with an earlier study that employed a multistate empirical valence bond potential and a different representation (center of excess charge) of the proton. We attribute this water recruitment to the delocalized nature of the solvated proton, which prefers to be in high-dielectric bulk solvent. While water recruitment into the pore is considered an artifact in the present simulations (because of the artificially imposed restraint on the proton), if the proton were naturally restrained, it could assist in building water wires prior to proton transfer through the pore. The potential of mean force for a proton translocation through the water-filled pore was computed by umbrella sampling, where the bias potentials were applied to the proton indicator. The free energy curve and barrier heights agree reasonably with those in the literature. Finally, the results suggest that the proton indicator can be used as a reaction coordinate in simulations of proton transport in confined environments.},
doi = {10.1021/acs.jpcb.7b06657},
journal = {Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry},
number = 36,
volume = 121,
place = {United States},
year = {Fri Aug 18 00:00:00 EDT 2017},
month = {Fri Aug 18 00:00:00 EDT 2017}
}

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Works referenced in this record:

The Grotthuss mechanism
journal, October 1995


Proton Transfer 200 Years after von Grotthuss: Insights from Ab Initio Simulations
journal, September 2006


Polarization model for water and its ionic dissociation products
journal, August 1978

  • Stillinger, Frank H.; David, Carl W.
  • The Journal of Chemical Physics, Vol. 69, Issue 4
  • DOI: 10.1063/1.436773

A variable charge central force model for water and its ionic dissociation products
journal, May 1996

  • David, Carl W.
  • The Journal of Chemical Physics, Vol. 104, Issue 18
  • DOI: 10.1063/1.471438

A polarizable, dissociating molecular dynamics model for liquid water
journal, March 1993

  • Halley, J. W.; Rustad, James R.; Rahman, A.
  • The Journal of Chemical Physics, Vol. 98, Issue 5
  • DOI: 10.1063/1.465046

Protonizable Water Model for Quantum Dynamical Simulations
journal, June 1998

  • Billeter, S. R.; van Gunsteren, W. F.
  • The Journal of Physical Chemistry A, Vol. 102, Issue 24
  • DOI: 10.1021/jp980774q

A fully polarizable and dissociable potential for water
journal, November 2003


Dissociative Water Potential for Molecular Dynamics Simulations
journal, August 2007

  • Mahadevan, T. S.; Garofalini, S. H.
  • The Journal of Physical Chemistry B, Vol. 111, Issue 30
  • DOI: 10.1021/jp072530o

A reactive molecular dynamics simulation of the silica-water interface
journal, May 2010

  • Fogarty, Joseph C.; Aktulga, Hasan Metin; Grama, Ananth Y.
  • The Journal of Chemical Physics, Vol. 132, Issue 17
  • DOI: 10.1063/1.3407433

A Reactive Molecular Dynamics Algorithm for Proton Transport in Aqueous Systems
journal, June 2010

  • Selvan, Myvizhi Esai; Keffer, David J.; Cui, Shengting
  • The Journal of Physical Chemistry C, Vol. 114, Issue 27
  • DOI: 10.1021/jp101680q

Lewis-inspired representation of dissociable water in clusters and Grotthuss chains
journal, June 2011


Explicit proton transfer in classical molecular dynamics simulations
journal, February 2014

  • Wolf, Maarten G.; Groenhof, Gerrit
  • Journal of Computational Chemistry, Vol. 35, Issue 8
  • DOI: 10.1002/jcc.23536

An empirical valence bond model for proton transfer in water
journal, February 1998

  • Sagnella, Diane E.; Tuckerman, Mark E.
  • The Journal of Chemical Physics, Vol. 108, Issue 5
  • DOI: 10.1063/1.475586

Multistate Empirical Valence Bond Model for Proton Transport in Water
journal, July 1998

  • Schmitt, Udo W.; Voth, Gregory A.
  • The Journal of Physical Chemistry B, Vol. 102, Issue 29
  • DOI: 10.1021/jp9818131

An extended empirical valence bond model for describing proton transfer in H+(H2O)n clusters and liquid water
journal, February 1998


A second generation multistate empirical valence bond model for proton transport in aqueous systems
journal, September 2002

  • Day, Tyler J. F.; Soudackov, Alexander V.; Čuma, Martin
  • The Journal of Chemical Physics, Vol. 117, Issue 12
  • DOI: 10.1063/1.1497157

Kinetics of Proton Transport in Water
journal, April 2003

  • Kornyshev, A. A.; Kuznetsov, A. M.; Spohr, E.
  • The Journal of Physical Chemistry B, Vol. 107, Issue 15
  • DOI: 10.1021/jp020857d

A polarizable multistate empirical valence bond model for proton transport in aqueous solution
journal, June 2005

  • Brancato, Giuseppe; Tuckerman, Mark E.
  • The Journal of Chemical Physics, Vol. 122, Issue 22
  • DOI: 10.1063/1.1902924

Proton Solvation and Transport in Aqueous and Biomolecular Systems:  Insights from Computer Simulations
journal, May 2007

  • Swanson, Jessica M. J.; Maupin, C. Mark; Chen, Hanning
  • The Journal of Physical Chemistry B, Vol. 111, Issue 17
  • DOI: 10.1021/jp070104x

An Improved Multistate Empirical Valence Bond Model for Aqueous Proton Solvation and Transport
journal, January 2008

  • Wu, Yujie; Chen, Hanning; Wang, Feng
  • The Journal of Physical Chemistry B, Vol. 112, Issue 2
  • DOI: 10.1021/jp076658h

A Refined MS-EVB Model for Proton Transport in Aqueous Environments
journal, December 2011

  • Park, Kyoyeon; Lin, Wei; Paesani, Francesco
  • The Journal of Physical Chemistry B, Vol. 116, Issue 1
  • DOI: 10.1021/jp208946p

A combined quantum mechanical and molecular mechanical potential for molecular dynamics simulations
journal, July 1990

  • Field, Martin J.; Bash, Paul A.; Karplus, Martin
  • Journal of Computational Chemistry, Vol. 11, Issue 6
  • DOI: 10.1002/jcc.540110605

QM/MM: what have we learned, where are we, and where do we go from here?
journal, July 2006


QM/MM Methods for Biological Systems
book, November 2006


Specific Reaction Path Hamiltonian for Proton Transfer in Water: Reparameterized Semiempirical Models
journal, May 2013

  • Wu, Xin; Thiel, Walter; Pezeshki, Soroosh
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 6
  • DOI: 10.1021/ct400224n

The Solvation Structure of Na + and K + in Liquid Water Determined from High Level ab Initio Molecular Dynamics Simulations
journal, March 2012

  • Rowley, Christopher N.; Roux, Benoı̂t
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 10
  • DOI: 10.1021/ct300091w

A QM/MM simulation method applied to the solution of Li+ in liquid ammonia
journal, November 1996


ONIOM-XS: an extension of the ONIOM method for molecular simulation in condensed phase
journal, April 2002


Adaptive Partitioning in Combined Quantum Mechanical and Molecular Mechanical Calculations of Potential Energy Functions for Multiscale Simulations
journal, March 2007

  • Heyden, Andreas; Lin, Hai; Truhlar, Donald G.
  • The Journal of Physical Chemistry B, Vol. 111, Issue 9
  • DOI: 10.1021/jp0673617

Toward a Practical Method for Adaptive QM/MM Simulations
journal, July 2009

  • Bulo, Rosa E.; Ensing, Bernd; Sikkema, Jetze
  • Journal of Chemical Theory and Computation, Vol. 5, Issue 9
  • DOI: 10.1021/ct900148e

Recent progress in adaptive multiscale molecular dynamics simulations of soft matter
journal, January 2010

  • Nielsen, Steven O.; Bulo, Rosa E.; Moore, Preston B.
  • Physical Chemistry Chemical Physics, Vol. 12, Issue 39
  • DOI: 10.1039/c004111d

Adaptive-Partitioning Redistributed Charge and Dipole Schemes for QM/MM Dynamics Simulations: On-the-fly Relocation of Boundaries that Pass through Covalent Bonds
journal, September 2011

  • Pezeshki, Soroosh; Lin, Hai
  • Journal of Chemical Theory and Computation, Vol. 7, Issue 11
  • DOI: 10.1021/ct2005209

The number-adaptive multiscale QM/MM molecular dynamics simulation: Application to liquid water
journal, February 2012


Multiscale Modeling of Chemistry in Water: Are We There Yet?
journal, November 2013

  • Bulo, Rosa E.; Michel, Carine; Fleurat-Lessard, Paul
  • Journal of Chemical Theory and Computation, Vol. 9, Issue 12
  • DOI: 10.1021/ct4005596

Adaptive-Partitioning QM/MM Dynamics Simulations: 3. Solvent Molecules Entering and Leaving Protein Binding Sites
journal, October 2014

  • Pezeshki, Soroosh; Davis, Christal; Heyden, Andreas
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 11
  • DOI: 10.1021/ct500553x

Recent developments in QM/MM methods towards open-boundary multi-scale simulations
journal, May 2014


A Density-Based Adaptive Quantum Mechanical/Molecular Mechanical Method
journal, June 2014


Size-Consistent Multipartitioning QM/MM: A Stable and Efficient Adaptive QM/MM Method
journal, September 2014

  • Watanabe, Hiroshi C.; Kubař, Tomáš; Elstner, Marcus
  • Journal of Chemical Theory and Computation, Vol. 10, Issue 10
  • DOI: 10.1021/ct5005593

Adaptive Switching of Interaction Potentials in the Time Domain: An Extended Lagrangian Approach Tailored to Transmute Force Field to QM/MM Simulations and Back
journal, May 2015

  • Böckmann, Marcus; Doltsinis, Nikos L.; Marx, Dominik
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 6
  • DOI: 10.1021/acs.jctc.5b00142

Proton Transfer in Aqueous Solution: Exploring the Boundaries of Adaptive QM/MM
book, January 2015

  • Jiang, T.; Boereboom, J. M.; Michel, C.
  • Challenges and Advances in Computational Chemistry and Physics
  • DOI: 10.1007/978-3-319-21626-3_2

Adaptive-Partitioning QM/MM for Molecular Dynamics Simulations: 4. Proton Hopping in Bulk Water
journal, May 2015

  • Pezeshki, Soroosh; Lin, Hai
  • Journal of Chemical Theory and Computation, Vol. 11, Issue 6
  • DOI: 10.1021/ct501019y

Recent Progress in Adaptive-Partitioning QM/MM Methods for Born-Oppenheimer Molecular Dynamics
book, January 2015


Toward Hamiltonian Adaptive QM/MM: Accurate Solvent Structures Using Many-Body Potentials
journal, July 2016

  • Boereboom, Jelle M.; Potestio, Raffaello; Donadio, Davide
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 8
  • DOI: 10.1021/acs.jctc.6b00205

Adaptive quantum mechanics/molecular mechanics methods: Adaptive QM/MM methods
journal, April 2016

  • Zheng, Min; Waller, Mark P.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 6, Issue 4
  • DOI: 10.1002/wcms.1255

Adaptive quantum/molecular mechanics: what have we learned, where are we, and where do we go from here?: Adaptive QM/MM
journal, April 2017

  • Duster, Adam W.; Wang, Chun-Hung; Garza, Christina M.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 7, Issue 5
  • DOI: 10.1002/wcms.1310

An Algorithm for Adaptive QC/MM Simulations
journal, April 2017


Toward more efficient density-based adaptive QM/MM methods: ZHENG
journal, December 2016

  • Zheng, Min; Kuriappan, Jissy A.; Waller, Mark P.
  • International Journal of Quantum Chemistry, Vol. 117, Issue 6
  • DOI: 10.1002/qua.25336

Free Energy Profiles for H+ Conduction along Hydrogen-Bonded Chains of Water Molecules
journal, July 1998


Molecular Basis of Proton Blockage in Aquaporins
journal, March 2004


Toward Theoretical Analyis of Long-Range Proton Transfer Kinetics in Biomolecular Pumps
journal, January 2006

  • König, P. H.; Ghosh, N.; Hoffmann, M.
  • The Journal of Physical Chemistry A, Vol. 110, Issue 2
  • DOI: 10.1021/jp052328q

“Proton Holes” in Long-Range Proton Transfer Reactions in Solution and Enzymes:  A Theoretical Analysis
journal, December 2006

  • Riccardi, Demian; König, Peter; Prat-Resina, Xavier
  • Journal of the American Chemical Society, Vol. 128, Issue 50
  • DOI: 10.1021/ja065451j

Acid activation mechanism of the influenza A M2 proton channel
journal, October 2016

  • Liang, Ruibin; Swanson, Jessica M. J.; Madsen, Jesper J.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 45
  • DOI: 10.1073/pnas.1615471113

Multiscale Simulations Reveal Key Aspects of the Proton Transport Mechanism in the ClC-ec1 Antiporter
journal, March 2016

  • Lee, Sangyun; Swanson, Jessica M. J.; Voth, Gregory A.
  • Biophysical Journal, Vol. 110, Issue 6
  • DOI: 10.1016/j.bpj.2016.02.014

Hydrated Excess Protons Can Create Their Own Water Wires
journal, September 2014

  • Peng, Yuxing; Swanson, Jessica M. J.; Kang, Seung-gu
  • The Journal of Physical Chemistry B, Vol. 119, Issue 29
  • DOI: 10.1021/jp5095118

Combining a Dissociative Water Model with a Hybrid QM/MM Approach—A Simulation Strategy for the Study of Proton Transfer Reactions in Solution
journal, March 2012

  • Hofer, Thomas S.; Hitzenberger, Manuel; Randolf, Bernhard R.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 10
  • DOI: 10.1021/ct300062k

Flexible simple point-charge water model with improved liquid-state properties
journal, January 2006

  • Wu, Yujie; Tepper, Harald L.; Voth, Gregory A.
  • The Journal of Chemical Physics, Vol. 124, Issue 2
  • DOI: 10.1063/1.2136877

All-Atom Empirical Potential for Molecular Modeling and Dynamics Studies of Proteins
journal, April 1998

  • MacKerell, A. D.; Bashford, D.; Bellott, M.
  • The Journal of Physical Chemistry B, Vol. 102, Issue 18
  • DOI: 10.1021/jp973084f

Scalable molecular dynamics with NAMD
journal, January 2005

  • Phillips, James C.; Braun, Rosemary; Wang, Wei
  • Journal of Computational Chemistry, Vol. 26, Issue 16, p. 1781-1802
  • DOI: 10.1002/jcc.20289

Canonical dynamics: Equilibrium phase-space distributions
journal, March 1985


Constant pressure molecular dynamics simulation: The Langevin piston method
journal, September 1995

  • Feller, Scott E.; Zhang, Yuhong; Pastor, Richard W.
  • The Journal of Chemical Physics, Vol. 103, Issue 11
  • DOI: 10.1063/1.470648

The calculation of the potential of mean force using computer simulations
journal, September 1995


The nature of the hydrated excess proton in water
journal, February 1999

  • Marx, Dominik; Tuckerman, Mark E.; Hutter, Jürg
  • Nature, Vol. 397, Issue 6720
  • DOI: 10.1038/17579

Hybrid Models for Combined Quantum Mechanical and Molecular Mechanical Approaches
journal, January 1996

  • Bakowies, Dirk; Thiel, Walter
  • The Journal of Physical Chemistry, Vol. 100, Issue 25
  • DOI: 10.1021/jp9536514

IMOMM: A new integratedab initio + molecular mechanics geometry optimization scheme of equilibrium structures and transition states
journal, September 1995

  • Maseras, Feliu; Morokuma, Keiji
  • Journal of Computational Chemistry, Vol. 16, Issue 9
  • DOI: 10.1002/jcc.540160911

What Really Prevents Proton Transport through Aquaporin? Charge Self-Energy versus Proton Wire Proposals
journal, December 2003


Reactive collisions of hydronium and hydroxide ions studied with the polarization model
journal, April 1982

  • Weber, Thomas A.; Stillinger, Frank H.
  • The Journal of Physical Chemistry, Vol. 86, Issue 8
  • DOI: 10.1021/j100397a020

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Modulating the Chemical Transport Properties of a Transmembrane Antiporter via Alternative Anion Flux
journal, November 2018

  • Wang, Zhi; Swanson, Jessica M. J.; Voth, Gregory A.
  • Journal of the American Chemical Society, Vol. 140, Issue 48
  • DOI: 10.1021/jacs.8b07614