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Title: How Large Should the QM Region Be in QM/MM Calculations? The Case of Catechol O -Methyltransferase

Journal Article · · Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry
 [1];  [2];  [2];  [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE); Stanford Univ., CA (United States). Dept. of Chemistry
  2. Univ. of California, Berkeley, CA (United States). California Inst. for Quantitative Biosciences, Dept. of Chemistry and of Molecular and Cell Biology

Hybrid quantum mechanical–molecular mechanical (QM/MM) simulations are widely used in studies of enzymatic catalysis. Until recently, it has been cost prohibitive to determine the asymptotic limit of key energetic and structural properties with respect to increasingly large QM regions. Here, leveraging recent advances in electronic structure efficiency and accuracy, we investigate catalytic properties in catechol O-methyltransferase, a prototypical methyltransferase critical to human health. Using QM regions ranging in size from reactants-only (64 atoms) to nearly one-third of the entire protein (940 atoms), we show that properties such as the activation energy approach within chemical accuracy of the large-QM asymptotic limits rather slowly, requiring approximately 500–600 atoms if the QM residues are chosen simply by distance from the substrate. This slow approach to asymptotic limit is due to charge transfer from protein residues to the reacting substrates. Our large QM/MM calculations enable identification of charge separation for fragments in the transition state as a key component of enzymatic methyl transfer rate enhancement. We introduce charge shift analysis that reveals the minimum number of protein residues (approximately 11–16 residues or 200–300 atoms for COMT) needed for quantitative agreement with large-QM simulations. The identified residues are not those that would be typically selected using criteria such as chemical intuition or proximity. These results provide a recipe for a more careful determination of QM region sizes in future QM/MM studies of enzymes.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE; USDOD
Grant/Contract Number:
AC02-76SF00515; NSSEFF; GM025765; GM039296
OSTI ID:
1360173
Journal Information:
Journal of Physical Chemistry. B, Condensed Matter, Materials, Surfaces, Interfaces and Biophysical Chemistry, Vol. 120, Issue 44; ISSN 1520-6106
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 130 works
Citation information provided by
Web of Science

References (112)

Crystal structures of rat catechol-O-methyltransferase complexed with coumarine-based inhibitor journal January 2009
Photoelectron Spectra of Aqueous Solutions from First Principles journal May 2016
Self-interaction error of local density functionals for alkali–halide dissociation journal April 2006
Intrinsic peroxidase-like activity of ferromagnetic nanoparticles journal August 2007
Hydrogen Tunneling Links Protein Dynamics to Enzyme Catalysis journal June 2013
A density functional study of the simplest hydrogen abstraction reaction. Effect of self-interaction correction journal April 1994
Quantum Chemistry on Graphical Processing Units. 1. Strategies for Two-Electron Integral Evaluation journal January 2008
Charge-Transfer Interactions in Macromolecular Systems:  A New View of the Protein/Water Interface journal June 1998
Effect of Geometry Optimizations on QM-Cluster and QM/MM Studies of Reaction Energies in Proteins journal August 2013
Auxiliary basis sets to approximate Coulomb potentials journal June 1995
Multicentered valence electron effective potentials: A solution to the link atom problem for ground and excited electronic states journal February 2006
.alpha.-Deuterium isotope effects and transition-state structure in an intramolecular model system for methyl-transfer enzymes journal July 1979
Crystal structure of catechol O-methyltransferase journal March 1994
Enzyme mechanisms with hybrid quantum and molecular mechanical potentials. I. Theoretical considerations journal January 1996
Charge Transfer and Polarization in Solvated Proteins from Ab Initio Molecular Dynamics journal June 2011
On the effect of a variation of the force field, spatial boundary condition and size of the QM region in QM/MM MD simulations journal December 2011
A climbing image nudged elastic band method for finding saddle points and minimum energy paths journal December 2000
Introducing ONETEP : Linear-scaling density functional simulations on parallel computers journal February 2005
QM/MM simulations for methyl transfer in solution and catalysed by COMT: ensemble-averaging of kinetic isotope effects journal January 2008
Comparative Study of ortho- and meta -Nitrated Inhibitors of Catechol- O -methyltransferase: Interactions with the Active Site and Regioselectivity of O -Methylation journal April 2006
Accurate Reaction Energies in Proteins Obtained by Combining QM/MM and Large QM Calculations journal November 2012
Importance of Correlated Motions in Forming Highly Reactive Near Attack Conformations in Catechol O -Methyltransferase journal December 1998
Robust Periodic Hartree−Fock Exchange for Large-Scale Simulations Using Gaussian Basis Sets journal October 2009
Insights into Current Limitations of Density Functional Theory journal August 2008
Q UANTUM M ECHANICAL M ETHODS FOR E NZYME K INETICS journal October 2002
Combined Quantum Mechanical/Molecular Mechanical Methodologies Applied to Biomolecular Systems journal October 1999
Kinetics and Crystal Structure of Catechol- O -Methyltransferase Complex with Co-Substrate and a Novel Inhibitor with Potential Therapeutic Application journal October 2002
Effect of Protein Environment within Cytochrome P450cam Evaluated Using a Polarizable-Embedding QM/MM Method journal February 2014
On the Nature of the Transition State in Catechol O -Methyltransferase. A Complementary Study Based on Molecular Dynamics and Potential Energy Surface Explorations journal August 2005
Energetics and Dynamics of Enzymatic Reactions journal August 2001
Convergence of Atomic Charges with the Size of the Enzymatic Environment journal February 2015
Spurious fractional charge on dissociated atoms: Pervasive and resilient self-interaction error of common density functionals journal November 2006
Enzymatic Methyl Transfer: Role of an Active Site Residue in Generating Active Site Compaction That Correlates with Catalytic Efficiency journal November 2011
Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density journal January 1988
A long-range-corrected density functional that performs well for both ground-state properties and time-dependent density functional theory excitation energies, including charge-transfer excited states journal February 2009
Variational optimization of effective atom centered potentials for molecular properties journal January 2005
Linear Scaling Density Functional Calculations with Gaussian Orbitals journal June 1999
Analysis of Electrostatics and Correlated Motions for Hydride Transfer in Dihydrofolate Reductase journal July 2004
A combined quantum mechanical and molecular mechanical potential for molecular dynamics simulations journal July 1990
Computer simulation and analysis of the reaction pathway of triosephosphate isomerase journal June 1991
Electrostatic considerations affecting the calculated HOMO–LUMO gap in protein molecules journal March 2013
QM/MM Determination of Kinetic Isotope Effects for COMT-Catalyzed Methyl Transfer Does Not Support Compression Hypothesis journal July 2004
Mechanisms and Free Energies of Enzymatic Reactions journal August 2006
Combined Quantum Mechanical and Molecular Mechanical Methods for Calculating Potential Energy Surfaces: Tuned and Balanced Redistributed-Charge Algorithm journal January 2010
Many-electron self-interaction and spin polarization errors in local hybrid density functionals journal October 2010
Computational Design of an Enzyme Catalyst for a Stereoselective Bimolecular Diels-Alder Reaction journal July 2010
Do Quantum Mechanical Energies Calculated for Small Models of Protein-Active Sites Converge? journal September 2009
Converging nuclear magnetic shielding calculations with respect to basis and system size in protein systems journal May 2015
Convergence in the QM-only and QM/MM modeling of enzymatic reactions: A case study for acetylene hydratase journal July 2013
Linear Scaling Self-Consistent Field Calculations with Millions of Atoms in the Condensed Phase journal March 2012
Ribose-Protonated DNA Base Excision Repair: A Combined Theoretical and Experimental Study journal July 2014
Simple one-electron quantum capping potentials for use in hybrid QM/MM studies of biological molecules journal June 2002
Evaluating Boundary Dependent Errors in QM/MM Simulations journal April 2009
Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields journal November 1994
Towards Accurate Ab Initio QM/MM Calculations of Free-Energy Profiles of Enzymatic Reactions journal February 2006
Fractional Electron Loss in Approximate DFT and Hartree–Fock Theory journal October 2015
Mechanism of chymotrypsin. Structure, reactivity, and nonproductive binding relations journal March 1973
Hidden alternative structures of proline isomerase essential for catalysis journal December 2009
Regioselectivity of catechol O-methyltransferase confers enhancement of catalytic activity journal April 2011
Synthesis and Evaluation of Heterocyclic Catechol Mimics as Inhibitors of Catechol-O-methyltransferase (COMT) journal January 2015
Current Status of the AMOEBA Polarizable Force Field journal March 2010
Implicit versus explicit solvent in free energy calculations of enzyme catalysis: Methyl transfer catalyzed by catechol O-methyltransferase journal May 2006
QM/MM studies of enzymes journal April 2007
Inhibition of rat liver and duodenum soluble catechol-O-methyltransferase by a tight-binding inhibitor OR-462 journal November 1989
Hybrid Models for Combined Quantum Mechanical and Molecular Mechanical Approaches journal January 1996
The Role and Perspective of Ab Initio Molecular Dynamics in the Study of Biological Systems journal June 2002
Electrostatic embedding in large-scale first principles quantum mechanical calculations on biomolecules journal December 2011
On the Role of Water in Peroxidase Catalysis: A Theoretical Investigation of HRP Compound I Formation journal April 2010
Kinetics of Human Soluble and Membrane-Bound Catechol O-Methyltransferase: A Revised Mechanism and Description of the Thermolabile Variant of the Enzyme journal April 1995
Linear scaling computation of the Fock matrix journal April 1997
Electronic Absorption Spectra from MM and ab Initio QM/MM Molecular Dynamics: Environmental Effects on the Absorption Spectrum of Photoactive Yellow Protein journal September 2012
Self‐Consistent Molecular‐Orbital Methods. IX. An Extended Gaussian‐Type Basis for Molecular‐Orbital Studies of Organic Molecules journal January 1971
Voronoi deformation density (VDD) charges: Assessment of the Mulliken, Bader, Hirshfeld, Weinhold, and VDD methods for charge analysis journal January 2003
Isotopic mapping of transition-state structural features associated with enzymic catalysis of methyl transfer journal June 1982
QM−FE and Molecular Dynamics Calculations on Catechol O -Methyltransferase:  Free Energy of Activation in the Enzyme and in Aqueous Solution and Regioselectivity of the Enzyme-Catalyzed Reaction journal March 2000
\mathcal{O}(N) methods in electronic structure calculations journal February 2012
Mediation of donor–acceptor distance in an enzymatic methyl transfer reaction journal June 2015
QM/MM Methods for Biomolecular Systems journal January 2009
Ab Initio Quantum Chemistry for Protein Structures journal October 2012
How Metal Substitution Affects the Enzymatic Activity of Catechol-O-Methyltransferase journal October 2012
Auxiliary basis sets for main row atoms and transition metals and their use to approximate Coulomb potentials
  • Eichkorn, Karin; Weigend, Florian; Treutler, Oliver
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4 https://doi.org/10.1007/s002140050244
journal October 1997
Theoretical Modeling of Enzyme Catalytic Power:  Analysis of “Cratic” and Electrostatic Factors in Catechol O -Methyltransferase journal June 2003
Orbital energies and negative electron affinities from density functional theory: Insight from the integer discontinuity journal July 2008
Density functionals that are one- and two- are not always many-electron self-interaction-free, as shown for H2+, He2+, LiH+, and Ne2+ journal March 2007
Incorrect Dissociation Behavior of Radical Ions in Density Functional Calculations journal October 1997
Dynamical Contributions to Enzyme Catalysis:  Critical Tests of A Popular Hypothesis journal May 2006
QM/MM: what have we learned, where are we, and where do we go from here? journal July 2006
Kohn−Sham Density Functional Theory Electronic Structure Calculations with Linearly Scaling Computational Time and Memory Usage journal December 2010
Density‐functional thermochemistry. III. The role of exact exchange journal April 1993
A pseudobond approach to combining quantum mechanical and molecular mechanical methods journal January 1999
On the Convergence of QM/MM Energies journal February 2011
Computation of the Hardness and the Problem of Negative Electron Affinities in Density Functional Theory journal October 2005
Excited-State Electronic Structure with Configuration Interaction Singles and Tamm–Dancoff Time-Dependent Density Functional Theory on Graphical Processing Units journal May 2011
H++: a server for estimating pKas and adding missing hydrogens to macromolecules journal July 2005
Methyltransferases do not work by compression, cratic, or desolvation effects, but by electrostatic preorganization: Methyltransferases Work by Electrostatic Preorganization journal January 2015
Quantum Chemistry on Graphical Processing Units. 3. Analytical Energy Gradients, Geometry Optimization, and First Principles Molecular Dynamics journal August 2009
Convergence of Electronic Structure with the Size of the QM Region: Example of QM/MM NMR Shieldings journal June 2012
Three-dimensional structure of the adenine-specific DNA methyltransferase M.Taq I in complex with the cofactor S-adenosylmethionine. journal November 1994
Many-electron self-interaction error in approximate density functionals journal November 2006
Crystal Structures of Human 108V and 108M Catechol O-Methyltransferase journal June 2008
Projected Hybrid Orbitals: A General QM/MM Method journal August 2014
A mixed quantum mechanics/molecular mechanics (QM/MM) method for large-scale modeling of chemistry in protein environments journal January 2000
Protein environmental effects on iron-sulfur clusters: A set of rules for constructing computational models for inner and outer coordination spheres journal April 2016
Quantum Chemistry on Graphical Processing Units. 2. Direct Self-Consistent-Field Implementation journal March 2009
A challenge for density functionals: Self-interaction error increases for systems with a noninteger number of electrons journal August 1998
H++ 3.0: automating pK prediction and the preparation of biomolecular structures for atomistic molecular modeling and simulations journal May 2012
A simple clustering algorithm can be accurate enough for use in calculations of pKs in macromolecules journal February 2006
The Charge Transfer Problem in Density Functional Theory Calculations of Aqueously Solvated Molecules journal October 2013
Difficulties in applying pure Kohn–Sham density functional theory electronic structure methods to protein molecules journal January 2012
A Convergence Study of QM/MM Isomerization Energies with the Selected Size of the QM Region for Peptidic Systems journal October 2009
Theoretical Modeling of Large Molecular Systems. Advances in the Local Self Consistent Field Method for Mixed Quantum Mechanics/Molecular Mechanics Calculations journal December 2012
Computational Chemistry Column: Combined Quantum Mechanical and Molecular Mechanical Approaches journal June 1998

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