Quantum refinement - a combination of quantum chemistry and protein crystallography.

The combination of quantum mechanics and molecular mechanics (QM/MM) is one of the most promising approaches to study the structure, function, and properties of proteins. We here review our applications of QM/MM methods to alcohol dehydrogenase, blue copper proteins, iron–sulphur clusters, ferrochelatase, and myoglobin. We also describe our new quantum refinement method, which is a combination of quantum chemistry and protein crystallography. It has been shown to work properly and it can be used to improve the structure of protein metal centres in terms of the crystallographic Rfree factor and electron-density maps. It can be used to determine the protonation status of metal-bound solvent molecules in proteins by refining the various possible states and see which fits the crystallographic raw data best. Applications to ferrochelatase, cytochrome c553, alcohol dehydrogenase, myoglobin, and methylmalonyl coenzyme A mutase are described.

[1]  U. Singh,et al.  A combined ab initio quantum mechanical and molecular mechanical method for carrying out simulations on complex molecular systems: Applications to the CH3Cl + Cl− exchange reaction and gas phase protonation of polyethers , 1986 .

[2]  S. G. Pandalai,et al.  Recent Research Developments in Protein Engineering , 2001 .

[3]  Michele Parrinello,et al.  Equilibrium Geometries and Electronic Structure of Iron−Porphyrin Complexes: A Density Functional Study , 1997 .

[4]  U. Ryde,et al.  Molecular dynamics simulations of alcohol dehydrogenase with a four‐ or five‐coordinate catalytic zinc ion , 1995, Proteins.

[5]  U. Ryde,et al.  On the role of Glu‐68 in alcohol dehydrogenase , 1995, Protein science : a publication of the Protein Society.

[6]  K. Morokuma,et al.  Effects of the protein environment on the structure and energetics of active sites of metalloenzymes. ONIOM study of methane monooxygenase and ribonucleotide reductase. , 2002, Journal of the American Chemical Society.

[7]  Ulf Ryde,et al.  A comparison of the inner-sphere reorganization energies of cytochromes, iron-sulphur clusters, and blue copper proteins , 2001 .

[8]  O. Tapia,et al.  Electronic aspects of LADH catalytic mechanism , 1991 .

[9]  Feliu Maseras,et al.  The IMOMM method opens the way for the accurate calculation of “real” transition metal complexes , 2000 .

[10]  Hong Wang,et al.  Calculations of hydrogen tunnelling and enzyme catalysis: A comparison of liver alcohol dehydrogenase, methylamine dehydrogenase and soybean lipoxygenase , 2002 .

[11]  R. Huber,et al.  Accurate Bond and Angle Parameters for X-ray Protein Structure Refinement , 1991 .

[12]  K. Morokuma,et al.  ONIOM: A Multilayered Integrated MO + MM Method for Geometry Optimizations and Single Point Energy Predictions. A Test for Diels−Alder Reactions and Pt(P(t-Bu)3)2 + H2 Oxidative Addition , 1996 .

[13]  Björn O. Roos,et al.  On the role of strain in blue copper proteins , 2000, JBIC Journal of Biological Inorganic Chemistry.

[14]  Ulf Ryde,et al.  Structure, strain, and reorganization energy of blue copper models in the protein , 2001 .

[15]  U. Ryde,et al.  The importance of porphyrin distortions for the ferrochelatase reaction , 2003, JBIC Journal of Biological Inorganic Chemistry.

[16]  B. Roos,et al.  The cupric geometry of blue copper proteins is not strained. , 1996, Journal of molecular biology.

[17]  G J Kleywegt,et al.  Where freedom is given, liberties are taken. , 1995, Structure.

[18]  M. Blomberg,et al.  Density functional theory of biologically relevant metal centers. , 2003, Annual review of physical chemistry.

[19]  Björn O. Roos,et al.  Relation between the Structure and Spectroscopic Properties of Blue Copper Proteins , 1998 .

[20]  Michael Levitt,et al.  Refinement of Large Structures by Simultaneous Minimization of Energy and R Factor , 1978 .

[21]  Ulf Ryde,et al.  Combined quantum and molecular mechanics calculations on metalloproteins. , 2003, Current opinion in chemical biology.

[22]  G. Kachalova,et al.  A steric mechanism for inhibition of CO binding to heme proteins. , 1999, Science.

[23]  S. Al-Karadaghi,et al.  Structural and mechanistic basis of porphyrin metallation by ferrochelatase. , 2000, Journal of molecular biology.

[24]  Jonas Boström,et al.  Conformational energy penalties of protein-bound ligands , 1998, J. Comput. Aided Mol. Des..

[25]  M. Karplus,et al.  A combined quantum mechanical and molecular mechanical potential for molecular dynamics simulations , 1990 .

[26]  G J Kleywegt,et al.  Model building and refinement practice. , 1997, Methods in enzymology.

[27]  Sally A. Hindle,et al.  Quantum mechanical/molecular mechanical methods and the study of kinetic isotope effects: modelling the covalent junction region and application to the enzyme xylose isomerase , 2001 .

[28]  S. Larsson,et al.  Connection between Structure, Electronic Spectrum, and Electron-Transfer Properties of Blue Copper Proteins , 1995 .

[29]  D. Case,et al.  Density functional calculation of pKa values and redox potentials in the bovine Rieske iron-sulfur protein , 2002, JBIC Journal of Biological Inorganic Chemistry.

[30]  F. J. Luque,et al.  Theoretical Methods for the Description of the Solvent Effect in Biomolecular Systems. , 2000, Chemical reviews.

[31]  Peter Pulay,et al.  The calculation of ab initio molecular geometries: efficient optimization by natural internal coordinates and empirical correction by offset forces , 1992 .

[32]  Wolfgang Lubitz,et al.  Quantum chemical calculations of [NiFe] hydrogenase. , 2002, Current opinion in chemical biology.

[33]  Is the CO adduct of myoglobin bent, and does it matter? , 2001, Accounts of chemical research.

[34]  D. Truhlar,et al.  Canonical variational theory for enzyme kinetics with the protein mean force and multidimensional quantum mechanical tunneling dynamics. Theory and application to liver alcohol dehydrogenase , 2001 .

[35]  K. Hodgson,et al.  Electronic structure of the perturbed blue copper site in nitrite reductase: spectroscopic properties, bonding and implications for the entatic/rack state. , 1996 .

[36]  Feliu Maseras,et al.  IMOMM: A new integrated ab initio + molecular mechanics geometry optimization scheme of equilibrium structures and transition states , 1995, J. Comput. Chem..

[37]  Nathalie Reuter,et al.  Frontier Bonds in QM/MM Methods: A Comparison of Different Approaches , 2000 .

[38]  J. S. Olson,et al.  Myoglobin discriminates between O2, NO, and CO by electrostatic interactions with the bound ligand , 1997, JBIC Journal of Biological Inorganic Chemistry.

[39]  U. Ryde,et al.  Inner-sphere reorganization energy of iron-sulfur clusters studied with theoretical methods. , 2001, Inorganic chemistry.

[40]  A. Mulholland The QM/MM Approach to Enzymatic Reactions , 2001 .

[41]  Emma Sigfridsson,et al.  On the significance of hydrogen bonds for the discrimination between CO and O2 by myoglobin , 1999, JBIC Journal of Biological Inorganic Chemistry.

[42]  Lawrence Que,et al.  The Flexible Fe2(μ-O)2 Diamond Core: A Terminal Iron(IV)−Oxo Species Generated from the Oxidation of a Bis(μ-oxo)diiron(III) Complex , 2000 .

[43]  S. Mazumdar,et al.  NMR studies on interaction of lauryl maltoside with cytochrome c oxidase: a model for surfactant interaction with the membrane protein. , 2002, Journal of inorganic biochemistry.

[44]  E. Solomon,et al.  ELECTRONIC STRUCTURE OF THE REDUCED BLUE COPPER ACTIVE SITE : CONTRIBUTIONS TO REDUCTION POTENTIALS AND GEOMETRY , 1995 .

[45]  M. Levitt,et al.  Theoretical studies of enzymic reactions: dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme. , 1976, Journal of molecular biology.

[46]  Ulf Ryde,et al.  The coordination of the catalytic zinc ion in alcohol dehydrogenase studied by combined quantum-chemical and molecular mechanics calculations , 1996, J. Comput. Aided Mol. Des..

[47]  Kristina Nilsson,et al.  Quantum chemical geometry optimizations in proteins using crystallographic raw data , 2002, J. Comput. Chem..

[48]  Edward I. Solomon,et al.  Spectroscopic and Geometric Variations in Perturbed Blue Copper Centers: Electronic Structures of Stellacyanin and Cucumber Basic Protein , 1998 .

[49]  R. Read,et al.  Improved Structure Refinement Through Maximum Likelihood , 1996 .

[50]  Keith S. Wilson,et al.  Crystal structure of oxidized Bacillus pasteurii cytochrome c553 at 0.97-A resolution. , 2000, Biochemistry.

[51]  G Pettersson,et al.  Liver alcohol dehydrogenase. , 1987, CRC critical reviews in biochemistry.

[52]  S. Ramaswamy,et al.  Contributions of valine-292 in the nicotinamide binding site of liver alcohol dehydrogenase and dynamics to catalysis. , 2001, Biochemistry.

[53]  U. Ryde,et al.  Theoretical study of the discrimination between O(2) and CO by myoglobin. , 2002, Journal of inorganic biochemistry.

[54]  B. Jönsson,et al.  Vectorizing a general purpose molecular dynamics simulation program , 1986 .

[55]  Timothy Clark,et al.  Molecular orbital studies of enzyme mechanisms. II. Catalytic oxidation of alcohols by liver alcohol dehydrogenase , 1993, J. Comput. Chem..

[56]  T. Hurley,et al.  Structure of human chi chi alcohol dehydrogenase: a glutathione-dependent formaldehyde dehydrogenase. , 1996, Journal of molecular biology.

[57]  Ulf Ryde,et al.  The coordination chemistry of the catalytic zinc ion in alcohol dehydrogenase studied by ab initio quantum chemical calculations , 1994 .

[58]  Peter A. Kollman,et al.  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 , 2000 .

[59]  U. Ryde,et al.  Geometry, reduction potential, and reorganization energy of the binuclear Cu(A) site, studied by density functional theory. , 2001, Journal of the American Chemical Society.

[60]  M. Blomberg,et al.  Transition-metal systems in biochemistry studied by high-accuracy quantum chemical methods. , 2000, Chemical reviews.

[61]  Martin J. Field,et al.  Simulating enzyme reactions: Challenges and perspectives , 2002, J. Comput. Chem..

[62]  Martin Karplus,et al.  A Theoretical Analysis of the Proton and Hydride Transfer in Liver Alcohol Dehydrogenase (LADH) , 2002 .

[63]  R. Ahlrichs,et al.  Efficient molecular numerical integration schemes , 1995 .

[64]  R. Read,et al.  Cross-validated maximum likelihood enhances crystallographic simulated annealing refinement. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[65]  E. Oldfield,et al.  Solid-State NMR, Crystallographic and Density Functional Theory Investigation of Fe−CO and Fe−CO Analogue Metalloporphyrins and Metalloproteins† , 1999 .

[66]  K. Merz,et al.  Combined Quantum Mechanical/Molecular Mechanical Methodologies Applied to Biomolecular Systems , 1999 .

[67]  Peter Comba,et al.  Hybrid quantum mechanics/molecular mechanics studies of the active site of the blue copper proteins amicyanin and rusticyanin , 2001 .

[68]  B. Malmström Rack-induced bonding in blue-copper proteins. , 1994, European journal of biochemistry.

[69]  J. Klinman,et al.  A link between protein structure and enzyme catalyzed hydrogen tunneling. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[70]  Jean-Pierre Daudey,et al.  Effective Group Potentials. 1. Method , 2001 .

[71]  J Berendzen,et al.  Crystal structures of myoglobin-ligand complexes at near-atomic resolution. , 1999, Biophysical journal.

[72]  K M Merz,et al.  New developments in applying quantum mechanics to proteins. , 2001, Current opinion in structural biology.

[73]  R J Williams,et al.  Energised (entatic) states of groups and of secondary structures in proteins and metalloproteins. , 1995, European journal of biochemistry.

[74]  F. Jensen Introduction to Computational Chemistry , 1998 .

[75]  Peter G. Schultz,et al.  Antibody-catalyzed porphyrin metallation. , 1990, Science.

[76]  D. Gamelin,et al.  Electronic structure contributions to electron transfer in blue Cu and CuA , 2000, JBIC Journal of Biological Inorganic Chemistry.

[77]  P R Evans,et al.  Crystal structure of substrate complexes of methylmalonyl-CoA mutase. , 1999, Biochemistry.

[78]  D. Truhlar,et al.  Quantum Dynamics of Hydride Transfer in Enzyme Catalysis , 2000 .

[79]  D. Truhlar,et al.  Quantum mechanical methods for enzyme kinetics. , 2003, Annual review of physical chemistry.

[80]  Ulf Ryde,et al.  The coordination chemistry of the structural zinc ion in alcohol dehydrogenase studied by ab initio quantum chemical calculations , 1996, European Biophysics Journal.

[81]  P. Kollman,et al.  Biomolecular simulations: recent developments in force fields, simulations of enzyme catalysis, protein-ligand, protein-protein, and protein-nucleic acid noncovalent interactions. , 2001, Annual review of biophysics and biomolecular structure.

[82]  M. Karplus,et al.  Crystallographic refinement by simulated annealing: application to crambin , 1989 .

[83]  Michael K. Johnson,et al.  Magnetic Circular Dichroism and Electron Paramagnetic Resonance Studies of Cobalt-Substituted Horse Liver Alcohol Dehydrogenase , 1995 .

[84]  A T Brünger,et al.  Crystallographic refinement by simulated annealing: methods and applications. , 1997, Methods in enzymology.

[85]  U. Ryde,et al.  Quantum chemical calculations of the reorganization energy of blue‐copper proteins , 1998, Protein science : a publication of the Protein Society.

[86]  A. Gewirth,et al.  Electronic structure of plastocyanin: excited state spectral features , 1988 .

[87]  U. Ryde,et al.  The influence of axial ligands on the reduction potential of blue copper proteins , 1999, JBIC Journal of Biological Inorganic Chemistry.

[88]  L. Hemmingsen,et al.  Cd-substituted horse liver alcohol dehydrogenase: catalytic site metal coordination geometry and protein conformation. , 1995, Biochemistry.

[89]  Kalju Kahn,et al.  Transition-State and Ground-State Structures and Their Interaction with the Active-Site Residues in Catechol O-Methyltransferase , 2000 .

[90]  M Eichinger,et al.  Influence of the heme pocket conformation on the structure and vibrations of the Fe-CO bond in myoglobin: a QM/MM density functional study. , 2001, Biophysical journal.