AM1/d-CB1: A Semiempirical Model for QM/MM Simulations of Chemical Glycobiology Systems.

A semiempirical method based on the AM1/d Hamiltonian is introduced to model chemical glycobiological systems. We included in the parameter training set glycans and the chemical environment often found about them in glycoenzymes. Starting with RM1 and AM1/d-PhoT models we optimized H, C, N, O, and P atomic parameters targeting the best performing molecular properties that contribute to enzyme catalyzed glycan reaction mechanisms. The training set comprising glycans, amino acids, phosphates and small organic model systems was used to derive parameters that reproduce experimental data or high-level density functional results for carbohydrate, phosphate and amino acid heats of formation, amino acid proton affinities, amino acid and monosaccharide dipole moments, amino acid ionization potentials, water-phosphate interaction energies, and carbohydrate ring pucker relaxation times. The result is the AM1/d-Chemical Biology 1 or AM1/d-CB1 model that is considerably more accurate than existing NDDO methods modeling carbohydrates and the amino acids often present in the catalytic domains of glycoenzymes as well as the binding sites of lectins. Moreover, AM1/d-CB1 computed proton affinities, dipole moments, ionization potentials and heats of formation for transition state puckered carbohydrate ring conformations, observed along glycoenzyme catalyzed reaction paths, are close to values computed using DFT M06-2X. AM1/d-CB1 provides a platform from which to accurately model reactions important in chemical glycobiology.

[1]  J. Stewart Optimization of parameters for semiempirical methods II. Applications , 1989 .

[2]  D. Truhlar,et al.  Direct dynamics calculations with NDDO (neglect of diatomic differential overlap) molecular orbital theory with specific reaction parameters , 1991 .

[3]  Donald G. Truhlar,et al.  Parameterization of NDDO wavefunctions using genetic algorithms. An evolutionary approach to parameterizing potential energy surfaces and direct dynamics calculations for organic reactions , 1995 .

[4]  J. Stivers,et al.  Kinetic isotope effect studies of the reaction catalyzed by uracil DNA glycosylase: evidence for an oxocarbenium ion-uracil anion intermediate. , 2000, Biochemistry.

[5]  G. Dianov,et al.  Targeting base excision repair to improve cancer therapies. , 2007, Molecular aspects of medicine.

[6]  G. Davies,et al.  Glycosidase inhibition: assessing mimicry of the transition state , 2009, Organic & biomolecular chemistry.

[7]  Christopher B. Barnett,et al.  Ring puckering: a metric for evaluating the accuracy of AM1, PM3, PM3CARB-1, and SCC-DFTB carbohydrate QM/MM simulations. , 2010, The journal of physical chemistry. B.

[8]  James J. P. Stewart,et al.  MOPAC: A semiempirical molecular orbital program , 1990, J. Comput. Aided Mol. Des..

[9]  Hong Wang,et al.  Towards a quantum mechanical force field for carbohydrates: a reparametrized semi-empirical MO approach. , 2004 .

[10]  Brent A. Gregersen,et al.  Hybrid QM/MM study of thio effects in transphosphorylation reactions: the role of solvation. , 2004, Journal of the American Chemical Society.

[11]  J. Bertrán,et al.  Promiscuity in alkaline phosphatase superfamily. Unraveling evolution through molecular simulations. , 2011, Journal of the American Chemical Society.

[12]  M. Dewar,et al.  Ground States of Molecules. 38. The MNDO Method. Approximations and Parameters , 1977 .

[13]  T. Windus,et al.  Accurate heats of formation and acidities for H3PO4, H2SO4, and H2CO3 from ab initio electronic structure calculations , 2005 .

[14]  Jonathan Y. Mane,et al.  New parameterization of the PM3 method for monosaccharides , 2010 .

[15]  D. York,et al.  Benchmark calculations of proton affinities and gas-phase basicities of molecules important in the study of biological phosphoryl transfer. , 2005, Physical chemistry chemical physics : PCCP.

[16]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[17]  G. I. Almerindo,et al.  Ionization of Organic Acids in Dimethyl Sulfoxide Solution: A Theoretical Ab Initio Calculation of the pKa Using a New Parametrization of the Polarizable Continuum Model , 2004 .

[18]  Multilevel and density functional electronic structure calculations of proton affinities and gas-phase basicities involved in biological phosphoryl transfer. , 2006, The journal of physical chemistry. A.

[19]  D. Kapitonov,et al.  Conserved domains of glycosyltransferases. , 1999, Glycobiology.

[20]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[21]  Alfredo Mayall Simas,et al.  RM1: A reparameterization of AM1 for H, C, N, O, P, S, F, Cl, Br, and I , 2006, J. Comput. Chem..

[22]  Àngels González-Lafont,et al.  A PM3/d specific reaction parameterization for iron atom in the hydrogen abstraction catalyzed by soybean lipoxygenase‐1 , 2007, J. Comput. Chem..

[23]  D. York,et al.  The structure and stability of biological metaphosphate, phosphate, and phosphorane compounds in the gas phase and in solution. , 2004, Journal of the American Chemical Society.

[24]  D. Truhlar,et al.  The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals , 2008 .

[25]  Eamonn F. Healy,et al.  Development and use of quantum mechanical molecular models. 76. AM1: a new general purpose quantum mechanical molecular model , 1985 .

[26]  P. Berti,et al.  Toward a detailed understanding of base excision repair enzymes: transition state and mechanistic analyses of N-glycoside hydrolysis and N-glycoside transfer. , 2006, Chemical reviews.

[27]  W. Thiel,et al.  Retaining glycosyltransferase mechanism studied by QM/MM methods: lipopolysaccharyl-α-1,4-galactosyltransferase C transfers α-galactose via an oxocarbenium ion-like transition state. , 2012, Journal of the American Chemical Society.

[28]  J. Iglesias-Fernández,et al.  Catalytic itinerary in 1,3-1,4-β-glucanase unraveled by QM/MM metadynamics. Charge is not yet fully developed at the oxocarbenium ion-like transition state. , 2011, Journal of the American Chemical Society.

[29]  Christopher B. Barnett,et al.  Free Energies from Adaptive Reaction Coordinate Forces (FEARCF): an application to ring puckering , 2009 .

[30]  Brent A. Gregersen,et al.  QCRNA 1.0: a database of quantum calculations for RNA catalysis. , 2006, Journal of molecular graphics & modelling.

[31]  L. Adamowicz,et al.  Conformational topology of ribose: A computational study , 2006 .

[32]  D. York,et al.  Parameterization of semiempirical methods to treat nucleophilic attacks to biological phosphates: AM1/d parameters for phosphorus , 2003 .

[33]  Henry S. Rzepa,et al.  Ground states of molecules: Part XLII. Vibrational frequencies of isotopically-substituted molecules calculated using MINDO/3 force constants , 1977 .

[34]  G J Davies,et al.  Structure of the Fusarium oxysporum endoglucanase I with a nonhydrolyzable substrate analogue: substrate distortion gives rise to the preferred axial orientation for the leaving group. , 1996, Biochemistry.

[35]  J. M. Lluch,et al.  Substrate-assisted and nucleophilically assisted catalysis in bovine α1,3-galactosyltransferase. Mechanistic implications for retaining glycosyltransferases. , 2013, Journal of the American Chemical Society.

[36]  J. Stewart Optimization of parameters for semiempirical methods V: Modification of NDDO approximations and application to 70 elements , 2007, Journal of molecular modeling.

[37]  A. M. Magill,et al.  Basicity of nucleophilic carbenes in aqueous and nonaqueous solvents-theoretical predictions. , 2004, Journal of the American Chemical Society.

[38]  Efthimios Kaxiras,et al.  A QM/MM Implementation of the Self-Consistent Charge Density Functional Tight Binding (SCC-DFTB) Method , 2001 .

[39]  M. Karplus,et al.  Theoretical evaluation of pK(a) in phosphoranes: implications for phosphate ester hydrolysis. , 2002, Journal of the American Chemical Society.

[40]  Jianpeng Ma,et al.  CHARMM: The biomolecular simulation program , 2009, J. Comput. Chem..

[41]  J. Stewart Optimization of parameters for semiempirical methods I. Method , 1989 .

[42]  D. York,et al.  Accurate proton affinity and gas-phase basicity values for molecules important in biocatalysis. , 2010, The journal of physical chemistry. B.

[43]  Q. Guo,et al.  First-principle predictions of absolute pKa's of organic acids in dimethyl sulfoxide solution. , 2004, Journal of the American Chemical Society.

[44]  David Feller,et al.  Hydrogen bond energy of the water dimer , 1996 .

[45]  A. Perczel,et al.  Conformation dependence of pKa: Ab initio and DFT investigation of histidine , 2004 .

[46]  D. York,et al.  Specific Reaction Parametrization of the AM1/d Hamiltonian for Phosphoryl Transfer Reactions:  H, O, and P Atoms. , 2007, Journal of chemical theory and computation.

[47]  Brent A. Gregersen,et al.  Hybrid QM/MM study of thio effects in transphosphorylation reactions. , 2003, Journal of the American Chemical Society.

[48]  Kevin J Naidoo,et al.  Evaluating AM1/d-CB1 for Chemical Glycobiology QM/MM Simulations. , 2014, Journal of chemical theory and computation.

[49]  Walter Thiel,et al.  Extension of MNDO to d Orbitals: Parameters and Results for the Second-Row Elements and for the Zinc Group , 1996 .

[50]  Christopher B. Barnett,et al.  Interpreting medium ring canonical conformers by a triangular plane tessellation of the macrocycle. , 2013, The Journal of chemical physics.