The DNA and RNA sugar-phosphate backbone emerges as the key player. An overview of quantum-chemical, structural biology and simulation studies.

Knowledge of geometrical and physico-chemical properties of the sugar-phosphate backbone substantially contributes to the comprehension of the structural dynamics, function and evolution of nucleic acids. We provide a side by side overview of structural biology/bioinformatics, quantum chemical and molecular mechanical/simulation studies of the nucleic acids backbone. We highlight main features, advantages and limitations of these techniques, with a special emphasis given to their synergy. The present status of the research is then illustrated by selected examples which include classification of DNA and RNA backbone families, benchmark structure-energy quantum chemical calculations, parameterization of the dihedral space of simulation force fields, incorporation of arsenate into DNA, sugar-phosphate backbone self-cleavage in small RNA enzymes, and intricate geometries of the backbone in recurrent RNA building blocks. Although not apparent from the current literature showing limited overlaps between the QM, simulation and bioinformatics studies of the nucleic acids backbone, there in fact should be a major cooperative interaction between these three approaches in studies of the sugar-phosphate backbone.

[1]  V. Sklenar,et al.  Phosphorus chemical shifts in a nucleic acid backbone from combined molecular dynamics and density functional calculations. , 2010, Journal of the American Chemical Society.

[2]  A. Anbar,et al.  A Bacterium That Can Grow by Using Arsenic Instead of Phosphorus , 2011, Science.

[3]  Stephen Neidle,et al.  Crystal structure of parallel quadruplexes from human telomeric DNA , 2002, Nature.

[4]  Jing Wang,et al.  Electron attachment-induced DNA single-strand breaks at the pyrimidine sites , 2010, Nucleic acids research.

[5]  R. Nussinov,et al.  Structural and Functional Consequences of Phosphate–Arsenate Substitutions in Selected Nucleotides: DNA, RNA, and ATP , 2012, The journal of physical chemistry. B.

[6]  S. Strobel,et al.  The chemical versatility of RNA , 2011, Philosophical Transactions of the Royal Society B: Biological Sciences.

[7]  Y. Chan,et al.  The common and the distinctive features of the bulged-G motif based on a 1.04 A resolution RNA structure. , 2003, Nucleic acids research.

[8]  F. Jensen THE MAGNITUDE OF INTRAMOLECULAR BASIS SET SUPERPOSITION ERROR , 1996 .

[9]  Alexander D. MacKerell,et al.  Intrinsic contribution of the 2'-hydroxyl to RNA conformational heterogeneity. , 2012, Journal of the American Chemical Society.

[10]  T. C. Bruice,et al.  Ground State Conformations and Entropic and Enthalpic Factors in the Efficiency of Intramolecular and Enzymatic Reactions. 1. Cyclic Anhydride Formation by Substituted Glutarates, Succinate, and 3,6-Endoxo-Δ4-tetrahydrophthalate Monophenyl Esters , 1996 .

[11]  M. Sundaralingam,et al.  Conformational analysis of the sugar ring in nucleosides and nucleotides. A new description using the concept of pseudorotation. , 1972, Journal of the American Chemical Society.

[12]  Jeremy C. Smith,et al.  Orientation preferences of backbone secondary amide functional groups in peptide nucleic acid complexes: quantum chemical calculations reveal an intrinsic preference of cationic D-amino acid-based chiral PNA analogues for the P-form. , 2007, Biophysical journal.

[13]  J. Doudna,et al.  Structural roles of monovalent cations in the HDV ribozyme. , 2007, Structure.

[14]  Felice C. Lightstone,et al.  Ground State and Transition State Contributions to the Rates of Intramolecular and Enzymatic Reactions , 1999 .

[15]  S. Nakano,et al.  General acid-base catalysis in the mechanism of a hepatitis delta virus ribozyme. , 2000, Science.

[16]  N. Špačková,et al.  Theoretical Study of Binding of Hydrated Zn(II) and Mg(II) Cations to 5‘-Guanosine Monophosphate. Toward Polarizable Molecular Mechanics for DNA and RNA , 2003 .

[17]  J. Šponer,et al.  Single Stranded Loops of Quadruplex DNA As Key Benchmark for Testing Nucleic Acids Force Fields. , 2009, Journal of chemical theory and computation.

[18]  Pavel Hobza,et al.  Evaluation of the intramolecular basis set superposition error in the calculations of larger molecules: [n]helicenes and Phe‐Gly‐Phe tripeptide , 2008, J. Comput. Chem..

[19]  Jerzy Leszczynski,et al.  Electronic properties, hydrogen bonding, stacking, and cation binding of DNA and RNA bases , 2001, Biopolymers.

[20]  Eric Westhof,et al.  Recurrent structural RNA motifs, Isostericity Matrices and sequence alignments , 2005, Nucleic acids research.

[21]  A. Deriabina,et al.  Computational study of the molecular mechanisms of caffeine action: Caffeine complexes with adenosine receptors , 2010 .

[22]  N. Yathindra,et al.  Preferred phosphodiester conformations in nucleic acids. A virtual bond torsion potential to estimate lone‐pair interactions in a phosphodiester , 1980 .

[23]  E. Westhof,et al.  A common motif organizes the structure of multi-helix loops in 16 S and 23 S ribosomal RNAs. , 1998, Journal of molecular biology.

[24]  R. Dickerson,et al.  Structure of the B-DNA decamer C-C-A-A-C-G-T-T-G-G and comparison with isomorphous decamers C-C-A-A-G-A-T-T-G-G and C-C-A-G-G-C-C-T-G-G. , 1991, Journal of molecular biology.

[25]  Bobby G. Sumpter,et al.  On the Geometry and Electronic Structure of the As-DNA Backbone , 2011 .

[26]  Craig L. Zirbel,et al.  Noncanonical hydrogen bonding in nucleic acids. Benchmark evaluation of key base-phosphate interactions in folded RNA molecules using quantum-chemical calculations and molecular dynamics simulations. , 2011, The journal of physical chemistry. A.

[27]  Eric Westhof,et al.  RNA 3D Structure Analysis and Prediction , 2012, Nucleic Acids and Molecular Biology.

[28]  R. Nanda,et al.  Quantum chemical studies on the conformational structure of nucleic acids. IV. Calculation of backbone structure by CNDO method. , 1974, Journal of theoretical biology.

[29]  D. Case,et al.  A systematic molecular dynamics study of nearest-neighbor effects on base pair and base pair step conformations and fluctuations in B-DNA , 2009, Nucleic acids research.

[30]  P. Salvador,et al.  Intramolecular basis set superposition error effects on the planarity of benzene and other aromatic molecules: a solution to the problem. , 2008, The Journal of chemical physics.

[31]  Ronald R. Breaker,et al.  Kinetics of RNA Degradation by Specific Base Catalysis of Transesterification Involving the 2‘-Hydroxyl Group , 1999 .

[32]  P. Herdewijn,et al.  How does hydroxyl introduction influence the double helical structure: the stabilization of an altritol nucleic acid:ribonucleic acid duplex , 2012, Nucleic acids research.

[33]  David H Mathews,et al.  Prediction of RNA secondary structure by free energy minimization. , 2006, Current opinion in structural biology.

[34]  Alexander D. MacKerell,et al.  Reevaluation of stereoelectronic contributions to the conformational properties of the phosphodiester and N3'-phosphoramidate moieties of nucleic acids. , 2001, Journal of the American Chemical Society.

[35]  D. Pérahia,et al.  Molecular orbital calculations on the conformation of nucleic acids and their constituents. 3. Backbone structure of di- and polynucleotides. , 1972, Biochimica et biophysica acta.

[36]  Pavel Hobza,et al.  True stabilization energies for the optimal planar hydrogen-bonded and stacked structures of guanine...cytosine, adenine...thymine, and their 9- and 1-methyl derivatives: complete basis set calculations at the MP2 and CCSD(T) levels and comparison with experiment. , 2003, Journal of the American Chemical Society.

[37]  A. Hocquet Intramolecular hydrogen bonding in 2′-deoxyribonucleosides: an AIM topological study of the electronic density , 2001 .

[38]  R. Wolfenden,et al.  The time required for water attack at the phosphorus atom of simple phosphodiesters and of DNA. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[39]  K. Réblová,et al.  Cations and hydration in catalytic RNA: molecular dynamics of the hepatitis delta virus ribozyme. , 2006, Biophysical journal.

[40]  S. Strobel,et al.  Structural investigation of the GlmS ribozyme bound to Its catalytic cofactor. , 2007, Chemistry & biology.

[41]  R. Manderville,et al.  Conformational flexibility of C8-phenoxylguanine adducts in deoxydinucleoside monophosphates. , 2011, The journal of physical chemistry. B.

[42]  F. J. Luque,et al.  Molecular Dynamics Simulations of PNADNA and PNARNA Duplexes in Aqueous Solution , 2000 .

[43]  Alexander D. MacKerell,et al.  Optimization of the CHARMM additive force field for DNA: Improved treatment of the BI/BII conformational equilibrium. , 2012, Journal of chemical theory and computation.

[44]  Peter Scholz,et al.  Chemical Etiology of Nucleic Acid Structure: The α-Threofuranosyl-(3'→2') Oligonucleotide System , 2000 .

[45]  S. Danyluk,et al.  Configurational effects on conformational properties of cyclic nucleotides. I. Theoretical calculations of conformer preferences in α‐nucleoside 3′,5′ cyclic monophosphates , 1978 .

[46]  Wilma K. Olson How flexible is the furanose ring? 2. An updated potential energy estimate , 1982 .

[47]  A. R. Srinivasan,et al.  Nucleic acid model building: the multiple backbone solutions associated with a given base morphology. , 1987, Journal of biomolecular structure & dynamics.

[48]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[49]  W. Goddard,et al.  Ab Initio Quantum Mechanical Study of the Structures and Energies for the Pseudorotation of 5‘-Dehydroxy Analogues of 2‘-Deoxyribose and Ribose Sugars , 1999 .

[50]  C R Calladine,et al.  Two distinct modes of protein-induced bending in DNA. , 1998, Journal of molecular biology.

[51]  D. Vasilescu,et al.  Examen par la méthode des orbitales moléculaires des préférences conformationnelles intrinsèques du squelette des acides nucléiques , 1979 .

[52]  Eric Meggers,et al.  A simple glycol nucleic acid. , 2005, Journal of the American Chemical Society.

[53]  B. Schneider,et al.  Effect of local sugar and base geometry on 13C and 15N magnetic shielding anisotropy in DNA nucleosides , 2008, Journal of biomolecular NMR.

[54]  G. Lipari,et al.  Conformational analysis of dimethylphosphate with quantum-mechanical and classical methods , 1978 .

[55]  J. Šponer,et al.  Relationships among rise, cup, roll and stagger in DNA suggested by empirical potential studies of base stacking. , 1993, Journal of biomolecular structure & dynamics.

[56]  J. Šponer,et al.  Theoretical studies of RNA catalysis: hybrid QM/MM methods and their comparison with MD and QM. , 2009, Methods.

[57]  M. Egholm,et al.  Sequence-selective recognition of DNA by strand displacement with a thymine-substituted polyamide. , 1991, Science.

[58]  Alexander D. MacKerell,et al.  Contribution of the Phosphodiester Backbone and Glycosyl Linkage Intrinsic Torsional Energetics to DNA Structure and Dynamics , 1999 .

[59]  Peter E. Nielsen,et al.  Peptide Nucleic Acid. A Molecule with Two Identities , 1999 .

[60]  Nils G Walter,et al.  Molecular dynamics suggest multifunctionality of an adenine imino group in acid-base catalysis of the hairpin ribozyme. , 2009, RNA.

[61]  D. Lilley,et al.  The chemical origins of life and its early evolution: an introduction , 2011, Philosophical Transactions of the Royal Society B: Biological Sciences.

[62]  Alexander D. MacKerell,et al.  All‐atom empirical force field for nucleic acids: I. Parameter optimization based on small molecule and condensed phase macromolecular target data , 2000 .

[63]  Jerzy Leszczynski,et al.  DNA strand breaks induced by near-zero-electronvolt electron attachment to pyrimidine nucleotides. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[64]  D. York,et al.  Quantum mechanical/molecular mechanical simulation study of the mechanism of hairpin ribozyme catalysis. , 2008, Journal of the American Chemical Society.

[65]  K. Réblová,et al.  Extensive molecular dynamics simulations showing that canonical G8 and protonated A38H+ forms are most consistent with crystal structures of hairpin ribozyme. , 2010, The journal of physical chemistry. B.

[66]  Jerzy Leszczynski,et al.  Electron attachment-induced DNA single strand breaks: C3'-O3' sigma-bond breaking of pyrimidine nucleotides predominates. , 2006, Journal of the American Chemical Society.

[67]  Anil Kumar,et al.  Low-energy electron attachment to 5'-thymidine monophosphate: modeling single strand breaks through dissociative electron attachment. , 2007, The journal of physical chemistry. B.

[68]  M. Sundaralingam,et al.  Backbone conformations in secondary and tertiary structural units of nucleic acids. Constraint in the phosphodiester conformation. , 1974, Proceedings of the National Academy of Sciences of the United States of America.

[69]  Andrej Lupták,et al.  A Genomewide Search for Ribozymes Reveals an HDV-Like Sequence in the Human CPEB3 Gene , 2006, Science.

[70]  J. Brickmann,et al.  Theoretical investigations on 1,2‐ethanediol: The problem of intramolecular hydrogen bonds , 1996 .

[71]  B. Honig,et al.  Nuance in the double-helix and its role in protein-DNA recognition. , 2009, Current opinion in structural biology.

[72]  M. Sevilla,et al.  Structure and Relative Stability of Deoxyribose Radicals in a Model DNA Backbone: Ab Initio Molecular Orbital Calculations , 1995 .

[73]  Wilma K Olson,et al.  Working the kinks out of nucleosomal DNA. , 2011, Current opinion in structural biology.

[74]  J. Leszczynski,et al.  Intramolecular hydrogen bonds in canonical 2'-deoxyribonucleotides: an atoms in molecules study. , 2006, The journal of physical chemistry. B.

[75]  P. Bevilacqua,et al.  Charged nucleobases and their potential for RNA catalysis. , 2011, Accounts of chemical research.

[76]  C. Pabo,et al.  Geometric analysis and comparison of protein-DNA interfaces: why is there no simple code for recognition? , 2000, Journal of molecular biology.

[77]  R. Dickerson,et al.  Helix geometry and hydration in an A-DNA tetramer: IC-C-G-G. , 1982, Journal of molecular biology.

[78]  J. Šponer,et al.  QM/MM studies of hairpin ribozyme self-cleavage suggest the feasibility of multiple competing reaction mechanisms. , 2011, The journal of physical chemistry. B.

[79]  M Suzuki,et al.  Use of a 3D structure data base for understanding sequence-dependent conformational aspects of DNA. , 1997, Journal of molecular biology.

[80]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[81]  Andrzej Leś,et al.  DFT Study of B-like Conformations of Deoxydinucleoside Monophosphates Containing Gua and/or Cyt and their Complexes with Na+ Cation , 2008, Journal of biomolecular structure & dynamics.

[82]  J. W. Long,et al.  Kinetics and thermodynamics of the formation of glucose arsenate. Reaction of glucose arsenate with phosphoglucomutase. , 1973 .

[83]  J. Šponer,et al.  Refinement of the Cornell et al. Nucleic Acids Force Field Based on Reference Quantum Chemical Calculations of Glycosidic Torsion Profiles , 2011, Journal of chemical theory and computation.

[84]  B. Pullman,et al.  Molecular orbital calculations on the conformation of nucleic acids and their constituents. II. Conformational energies of nucleosides with C(3')-and C(2')-exo sugars. , 1971, Biochimica et biophysica acta.

[85]  B. Golden,et al.  Metal binding motif in the active site of the HDV ribozyme binds divalent and monovalent ions. , 2011, Biochemistry.

[86]  L. Betts,et al.  A Nucleic Acid Triple Helix Formed by a Peptide Nucleic Acid-DNA Complex , 1995, Science.

[87]  Alexander D. MacKerell,et al.  Contribution of the intrinsic mechanical energy of the phosphodiester linkage to the relative stability of the A, BI, and BII forms of duplex DNA. , 2009, The journal of physical chemistry. B.

[88]  S. Kim,et al.  Conformational studies of nucleic acids. II. The conformational energetics of commonly occurring nucleosides. , 1985, Journal of biomolecular structure & dynamics.

[89]  Helen M Berman,et al.  RNA conformational classes. , 2004, Nucleic acids research.

[90]  J. M. Buzayan,et al.  Non-enzymatic cleavage and ligation of RNAs complementary to a plant virus satellite RNA , 1986, Nature.

[91]  P. Herdewijn,et al.  D-ALTRITOL NUCLEIC ACIDS (ANA) : HYBRIDISATION PROPERTIES, STABILITY, AND INITIAL STRUCTURAL ANALYSIS , 1999 .

[92]  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.

[93]  J. Piccirilli,et al.  General acid catalysis by the hepatitis delta virus ribozyme , 2005, Nature chemical biology.

[94]  Hirotaka Ode,et al.  Force field parameters for rotation around χ torsion axis in nucleic acids , 2008, J. Comput. Chem..

[95]  W. B. Arendall,et al.  RNA backbone is rotameric , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[96]  J. Šponer,et al.  Reference simulations of noncanonical nucleic acids with different χ variants of the AMBER force field: quadruplex DNA, quadruplex RNA and Z-DNA. , 2012, Journal of chemical theory and computation.

[97]  Cody W. Geary,et al.  The UA_handle: a versatile submotif in stable RNA architectures† , 2008, Nucleic acids research.

[98]  Jing Wang,et al.  Could hydrolysis of arsenic substituted DNA be prevented? Protection arises from stacking interactions. , 2012, Chemical communications.

[99]  Jing Wang,et al.  Structural and electronic property responses to the arsenic/phosphorus exchange in GC‐related DNA of the B‐form , 2012, J. Comput. Chem..

[100]  Pavel Hobza,et al.  On the convergence of the (ΔECCSD(T)−ΔEMP2) term for complexes with multiple H-bonds , 2002 .

[101]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[102]  Sarah W. Burge,et al.  Quadruplex DNA: sequence, topology and structure , 2006, Nucleic acids research.

[103]  Kevin E. Riley,et al.  Nature and magnitude of aromatic stacking of nucleic acid bases. , 2008, Physical chemistry chemical physics : PCCP.

[104]  M. Ghomi,et al.  Ground State Properties of the Nucleic Acid Constituents Studied by Density Functional Calculations. 2. Comparison between Calculated and Experimental Vibrational Spectra of Uridine and Cytidine , 1999 .

[105]  J. Wedekind,et al.  Direct Raman measurement of an elevated base pKa in the active site of a small ribozyme in a precatalytic conformation. , 2009, Journal of the American Chemical Society.

[106]  Allen R. Tannenbaum,et al.  Nonparametric Clustering for Studying RNA Conformations , 2011, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[107]  V. I. Poltev,et al.  DFT study of DNA sequence dependence at the level of dinucleoside monophosphates , 2011 .

[108]  I. Wool,et al.  The two faces of the Escherichia coli 23 S rRNA sarcin/ricin domain: the structure at 1.11 A resolution. , 1999, Journal of molecular biology.

[109]  H. Schaefer,et al.  Electron attachment to DNA single strands: gas phase and aqueous solution , 2007, Nucleic acids research.

[110]  H M Berman,et al.  Protein-DNA interactions: A structural analysis. , 1999, Journal of molecular biology.

[111]  S. Nakano,et al.  Mechanistic characterization of the HDV genomic ribozyme: assessing the catalytic and structural contributions of divalent metal ions within a multichannel reaction mechanism. , 2001, Biochemistry.

[112]  Pavel Hobza,et al.  RI-MP2 calculations with extended basis sets—a promising tool for study of H-bonded and stacked DNA base pairs , 2001 .

[113]  R. Bartlett,et al.  Coupled-cluster theory in quantum chemistry , 2007 .

[114]  K. Réblová,et al.  Trapped water molecules are essential to structural dynamics and function of a ribozyme , 2006, Proceedings of the National Academy of Sciences.

[115]  Szilvia Szép,et al.  The crystal structure of a 26-nucleotide RNA containing a hook-turn. , 2003, RNA.

[116]  W. Olson,et al.  A-form conformational motifs in ligand-bound DNA structures. , 2000, Journal of molecular biology.

[117]  Alexander D. MacKerell,et al.  Intrinsic conformational properties of deoxyribonucleosides: implicated role for cytosine in the equilibrium among the A, B, and Z forms of DNA. , 1999, Biophysical journal.

[118]  A. Pyle,et al.  Stepping through an RNA structure: A novel approach to conformational analysis. , 1998, Journal of molecular biology.

[119]  J. Wedekind,et al.  Identification of an imino group indispensable for cleavage by a small ribozyme. , 2009, Journal of the American Chemical Society.

[120]  Andrej Lupták,et al.  Widespread Occurrence of Self-Cleaving Ribozymes , 2009, Science.

[121]  Edward G Hohenstein,et al.  Improvement of the coupled-cluster singles and doubles method via scaling same- and opposite-spin components of the double excitation correlation energy. , 2008, The Journal of chemical physics.

[122]  Roman M. Balabin Enthalpy difference between conformations of normal alkanes: Intramolecular basis set superposition error (BSSE) in the case of n-butane and n-hexane. , 2008, The Journal of chemical physics.

[123]  Daniel Svozil,et al.  Can We Accurately Describe the Structure of Adenine Tracts in B-DNA? Reference Quantum-Chemical Computations Reveal Overstabilization of Stacking by Molecular Mechanics. , 2012, Journal of chemical theory and computation.

[124]  Harry A. Stern,et al.  Revision of AMBER Torsional Parameters for RNA Improves Free Energy Predictions for Tetramer Duplexes with GC and iGiC Base Pairs , 2011, Journal of chemical theory and computation.

[125]  G. Govil,et al.  Quantum chemical studies on the conformational structure of nucleic acids. I. Extended Hückel calculations on D-ribose phosphate. , 1971, Journal of theoretical biology.

[126]  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.

[127]  B. Golden,et al.  Direct measurement of a pK(a) near neutrality for the catalytic cytosine in the genomic HDV ribozyme using Raman crystallography. , 2007, Journal of the American Chemical Society.

[128]  H M Berman,et al.  Conformations of the sugar-phosphate backbone in helical DNA crystal structures. , 1997, Biopolymers.

[129]  J. Šponer,et al.  General base catalysis for cleavage by the active-site cytosine of the hepatitis delta virus ribozyme: QM/MM calculations establish chemical feasibility. , 2008, The journal of physical chemistry. B.

[130]  R. Collins,et al.  A site-specific self-cleavage reaction performed by a novel RNA in neurospora mitochondria , 1990, Cell.

[131]  F. Bickelhaupt,et al.  Structural interpretation of J coupling constants in guanosine and deoxyguanosine: modeling the effects of sugar pucker, backbone conformation, and base pairing. , 2009, The journal of physical chemistry. A.

[132]  J. Leszczynski,et al.  Conformational Analysis of Canonical 2-Deoxyribonucleotides. 2. Purine Nucleotides , 2004, Journal of biomolecular structure & dynamics.

[133]  Craig L. Zirbel,et al.  Classification and energetics of the base-phosphate interactions in RNA , 2009, Nucleic acids research.

[134]  Josef Paldus,et al.  Correlation Problems in Atomic and Molecular Systems. IV. Extended Coupled-Pair Many-Electron Theory and Its Application to the B H 3 Molecule , 1972 .

[135]  Jean-Pierre Perreault,et al.  Cellular and Molecular Life Sciences REVIEW Modulating RNA structure and catalysis: lessons from small cleaving ribozymes , 2022 .

[136]  Vladimír Sychrovský,et al.  Calculation of structural behavior of indirect NMR spin-spin couplings in the backbone of nucleic acids. , 2006, The journal of physical chemistry. B.

[137]  Harry A. Stern,et al.  Reparameterization of RNA χ Torsion Parameters for the AMBER Force Field and Comparison to NMR Spectra for Cytidine and Uridine , 2010, Journal of chemical theory and computation.

[138]  Alexander D. MacKerell,et al.  Ab initio conformational analysis of nucleic acid components: Intrinsic energetic contributions to nucleic acid structure and dynamics , 2001, Biopolymers.

[139]  V. Zhurkin,et al.  DNA sequence-dependent deformability deduced from protein-DNA crystal complexes. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[140]  M. Orozco,et al.  Molecular Dynamics Simulation of a PNA·DNA·PNA Triple Helix in Aqueous Solution , 1998 .

[141]  Alexander D. MacKerell,et al.  Impact of arsenic/phosphorus substitution on the intrinsic conformational properties of the phosphodiester backbone of DNA investigated using ab initio quantum mechanical calculations. , 2011, Journal of the American Chemical Society.

[142]  Emmanuel Tannenbaum,et al.  Automated identification of RNA conformational motifs: theory and application to the HM LSU 23S rRNA. , 2003, Nucleic acids research.

[143]  C. R. Calladine,et al.  Conformational characteristics of DNA: empirical classifications and a hypothesis for the conformational behaviour of dinucleotide steps , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[144]  Richard Lavery,et al.  α/γ Transitions in the B‐DNA backbone , 2002 .

[145]  Michal Otyepka,et al.  Performance of Molecular Mechanics Force Fields for RNA Simulations: Stability of UUCG and GNRA Hairpins. , 2010, Journal of chemical theory and computation.

[146]  T. C. Bruice,et al.  A view at the millennium: the efficiency of enzymatic catalysis. , 2002, Accounts of chemical research.

[147]  P. Hobza,et al.  Geometry of the Phosphate Group and Its Interactions with Metal Cations in Crystals and ab Initio Calculations , 1996 .

[148]  I. Shih,et al.  Imidazole rescue of a cytosine mutation in a self-cleaving ribozyme. , 1999, Science.

[149]  B. Golden,et al.  A 1.9 A crystal structure of the HDV ribozyme precleavage suggests both Lewis acid and general acid mechanisms contribute to phosphodiester cleavage. , 2010, Biochemistry.

[150]  Michal Otyepka,et al.  Simulations of A-RNA duplexes. The effect of sequence, solute force field, water model, and salt concentration. , 2012, The journal of physical chemistry. B.

[151]  W. Olson,et al.  3DNA: a software package for the analysis, rebuilding and visualization of three-dimensional nucleic acid structures. , 2003, Nucleic acids research.

[152]  Igor V. Filippov,et al.  PROSIT: Pseudo-Rotational Online Service and Interactive Tool, Applied to a Conformational Survey of Nucleosides and Nucleotides , 2004, J. Chem. Inf. Model..

[153]  R R Breaker,et al.  Relationship between internucleotide linkage geometry and the stability of RNA. , 1999, RNA.

[154]  Jirí Cerný,et al.  Scaled MP3 non-covalent interaction energies agree closely with accurate CCSD(T) benchmark data. , 2009, Chemphyschem : a European journal of chemical physics and physical chemistry.

[155]  Daniel Svozil,et al.  Geometrical and electronic structure variability of the sugar-phosphate backbone in nucleic acids. , 2008, The journal of physical chemistry. B.

[156]  R. Esnouf,et al.  Solution structure of a HNA-RNA hybrid. , 2000, Chemistry & biology.

[157]  S. Grimme,et al.  Towards chemical accuracy for the thermodynamics of large molecules: new hybrid density functionals including non-local correlation effects. , 2006, Physical chemistry chemical physics : PCCP.

[158]  Helen M Berman,et al.  RNA backbone: consensus all-angle conformers and modular string nomenclature (an RNA Ontology Consortium contribution). , 2008, RNA.

[159]  A. Warshel,et al.  Conformational Flexibility of Phosphate, Phosphonate, and Phosphorothioate Methyl Esters in Aqueous Solution , 1998 .

[160]  T. Dunning,et al.  A Road Map for the Calculation of Molecular Binding Energies , 2000 .

[161]  R. Breaker,et al.  Control of gene expression by a natural metabolite-responsive ribozyme , 2004, Nature.

[162]  Adèle D. Laurent,et al.  Important effects of neighbouring nucleotides on electron induced DNA single-strand breaks , 2009 .

[163]  I. Shih,et al.  Involvement of a cytosine side chain in proton transfer in the rate-determining step of ribozyme self-cleavage. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[164]  Darrin M York,et al.  Electrostatic interactions in the hairpin ribozyme account for the majority of the rate acceleration without chemical participation by nucleobases. , 2008, RNA.

[165]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[166]  Xiang-Jun Lu,et al.  The RNA backbone plays a crucial role in mediating the intrinsic stability of the GpU dinucleotide platform and the GpUpA/GpA miniduplex , 2010, Nucleic acids research.

[167]  Piotr Skurski,et al.  Mechanism for Damage to DNA by Low-Energy Electrons † , 2002 .

[168]  Donald G. Truhlar,et al.  How Well Can Hybrid Density Functional Methods Predict Transition State Geometries and Barrier Heights , 2001 .

[169]  F. Javier Luque,et al.  Polarization effects in molecular interactions , 2011 .

[170]  J. Micklefield,et al.  Backbone modification of nucleic acids: synthesis, structure and therapeutic applications. , 2001, Current medicinal chemistry.

[171]  A. Ferré-D’Amaré,et al.  Structural Basis of glmS Ribozyme Activation by Glucosamine-6-Phosphate , 2006, Science.

[172]  G. Sapiro,et al.  Statistical analysis of RNA backbone , 2006, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[173]  Richard E. Dickerson,et al.  The DNA Helix and How it is Read , 1983 .

[174]  Jennifer A. Doudna,et al.  A conformational switch controls hepatitis delta virus ribozyme catalysis , 2004, Nature.

[175]  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 .

[176]  G. Govil Conformational structure of polynucleotides around the O-P bonds: refined parameters for CPF calculations. , 1976, Biopolymers.

[177]  Anton I. Petrov,et al.  Quantum chemical studies of nucleic acids: can we construct a bridge to the RNA structural biology and bioinformatics communities? , 2010, The journal of physical chemistry. B.

[178]  Brian W. Matthews,et al.  No code for recognition , 1988, Nature.

[179]  Alexander D. MacKerell,et al.  Impact of 2′‐hydroxyl sampling on the conformational properties of RNA: Update of the CHARMM all‐atom additive force field for RNA , 2011, J. Comput. Chem..

[180]  A. Warshel,et al.  How much do enzymes really gain by restraining their reacting fragments? , 2002, Journal of the American Chemical Society.

[181]  F. J. Luque,et al.  Frontiers in molecular dynamics simulations of DNA. , 2012, Accounts of chemical research.

[182]  J. Šponer,et al.  Refinement of the AMBER Force Field for Nucleic Acids: Improving the Description of α/γ Conformers , 2007 .

[183]  J. Šponer,et al.  Molecular Dynamics and Quantum Mechanics of RNA: Conformational and Chemical Change We Can Believe In , 2009, Accounts of chemical research.

[184]  Jan Florián,et al.  IR AND RAMAN SPECTRA, CONFORMATIONAL FLEXIBILITY, AND SCALED QUANTUM MECHANICAL FORCE FIELDS OF SODIUM DIMETHYL PHOSPHATE AND DIMETHYL PHOSPHATE ANION , 1996 .

[185]  Heinz Sklenar,et al.  Molecular dynamics simulations of the 136 unique tetranucleotide sequences of DNA oligonucleotides. I. Research design and results on d(CpG) steps. , 2004, Biophysical journal.

[186]  Miguel Fuentes-Cabrera,et al.  Theoretical modeling on the kinetics of the arsenate-ester hydrolysis: implications to the stability of As-DNA. , 2011, Physical chemistry chemical physics : PCCP.

[187]  J. Leszczynski,et al.  Dependence of Deformability of Geometries and Characteristics of Intramolecular Hydrogen Bonds in Canonical 2′-Deoxyribonucleotides on DNA Conformations , 2009, Journal of biomolecular structure & dynamics.

[188]  J. Šponer,et al.  Protonation states of the key active site residues and structural dynamics of the glmS riboswitch as revealed by molecular dynamics. , 2010, The journal of physical chemistry. B.

[189]  Harry F Noller,et al.  RNA Structure: Reading the Ribosome , 2005, Science.

[190]  Cassandra D M Churchill,et al.  Developing a computational model that accurately reproduces the structural features of a dinucleoside monophosphate unit within B-DNA. , 2011, Physical chemistry chemical physics : PCCP.

[191]  J. Taylor,et al.  Antigenomic RNA of human hepatitis delta virus can undergo self-cleavage , 1988, Journal of virology.

[192]  J. Šponer,et al.  Hinge-like motions in RNA kink-turns: the role of the second a-minor motif and nominally unpaired bases. , 2005, Biophysical journal.

[193]  G. Govil,et al.  Quantum chemical studies on the conformational structure of nucleic acids. II. EHT and CNDO calculations on the puckering of D-ribose. , 1971, Journal of theoretical biology.

[194]  Alexander D. MacKerell,et al.  Conformational Properties of the Deoxyribose and Ribose Moieties of Nucleic Acids: A Quantum Mechanical Study , 1998 .

[195]  J. M. Buzayan,et al.  Autolytic Processing of Dimeric Plant Virus Satellite RNA , 1986, Science.

[196]  Arieh Warshel,et al.  Dynamical contributions to enzyme catalysis: critical tests of a popular hypothesis. , 2006, Chemical reviews.

[197]  M. Ghomi,et al.  Ground State Properties of the Nucleic Acid Constituents Studied by Density Functional Calculations. I. Conformational Features of Ribose, Dimethyl Phosphate, Uridine, Cytidine, 5‘-Methyl Phosphate−Uridine, and 3‘-Methyl Phosphate−Uridine , 1999 .

[198]  P. Kollman,et al.  How well does a restrained electrostatic potential (RESP) model perform in calculating conformational energies of organic and biological molecules? , 2000 .

[199]  H M Berman,et al.  A standard reference frame for the description of nucleic acid base-pair geometry. , 2001, Journal of molecular biology.

[200]  P. Kulhánek,et al.  Understanding the Sequence Preference of Recurrent RNA Building Blocks using Quantum Chemistry: The Intrastrand RNA Dinucleotide Platform. , 2012, Journal of chemical theory and computation.

[201]  Jirí Cerný,et al.  Density functional theory augmented with an empirical dispersion term. Interaction energies and geometries of 80 noncovalent complexes compared with ab initio quantum mechanics calculations , 2007, J. Comput. Chem..

[202]  T. Steitz,et al.  Crystal structure of the ribosomal RNA domain essential for binding elongation factors. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[203]  Anna Marie Pyle,et al.  RNA structure comparison, motif search and discovery using a reduced representation of RNA conformational space. , 2003, Nucleic acids research.

[204]  P. Kollman,et al.  A modified version of the Cornell et al. force field with improved sugar pucker phases and helical repeat. , 1999, Journal of biomolecular structure & dynamics.

[205]  G. Scuseria,et al.  Climbing the density functional ladder: nonempirical meta-generalized gradient approximation designed for molecules and solids. , 2003, Physical review letters.

[206]  B. Schneider,et al.  Structure and dynamics of the ApA, ApC, CpA, and CpC RNA dinucleoside monophosphates resolved with NMR scalar spin-spin couplings. , 2009, The journal of physical chemistry. B.

[207]  J. Šponer,et al.  A Novel Approach for Deriving Force Field Torsion Angle Parameters Accounting for Conformation-Dependent Solvation Effects. , 2012, Journal of chemical theory and computation.

[208]  Jiří Šponer,et al.  Molecular dynamics simulations of sarcin–ricin rRNA motif , 2006, Nucleic acids research.

[209]  L. Scott,et al.  Direct Measurement of the Ionization State of an Essential Guanine in the Hairpin Ribozyme , 2009, Nature chemical biology.

[210]  J. Cizek On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods , 1966 .

[211]  J. Šponer,et al.  Conformational Energies of DNA Sugar-Phosphate Backbone: Reference QM Calculations and a Comparison with Density Functional Theory and Molecular Mechanics , 2010 .

[212]  D. Truhlar,et al.  A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions. , 2006, The Journal of chemical physics.

[213]  Daniel Svozil,et al.  DNA conformations and their sequence preferences , 2008, Nucleic acids research.

[214]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[215]  T. Steitz,et al.  The kink‐turn: a new RNA secondary structure motif , 2001, The EMBO journal.

[216]  Donald G. Truhlar,et al.  Adiabatic connection for kinetics , 2000 .

[217]  L. Nilsson,et al.  Molecular Dynamics of Duplex Systems Involving PNA: Structural and Dynamical Consequences of the Nucleic Acid Backbone , 1998 .

[218]  Fangfang Wang,et al.  Studies on the torsions of nucleic acids using ABEEMσπ/MM method , 2009 .

[219]  D. Truhlar,et al.  Exploring the Limit of Accuracy of the Global Hybrid Meta Density Functional for Main-Group Thermochemistry, Kinetics, and Noncovalent Interactions. , 2008, Journal of chemical theory and computation.

[220]  P. Salvador,et al.  Intramolecular Basis Set Superposition Error Effects on the Planarity of DNA and RNA Nucleobases. , 2009, Journal of chemical theory and computation.

[221]  Andrej Lupták,et al.  HDV-like self-cleaving ribozymes , 2011, RNA biology.

[222]  H. Schwalbe,et al.  NMR Spectroscopy of RNA , 2003, Chembiochem : a European journal of chemical biology.

[223]  Stefan Grimme,et al.  Accurate description of van der Waals complexes by density functional theory including empirical corrections , 2004, J. Comput. Chem..

[224]  Nicolas Foloppe,et al.  Toward a full characterization of nucleic acid components in aqueous solution: simulations of nucleosides. , 2005, The journal of physical chemistry. B.

[225]  Alexander D. MacKerell,et al.  Intrinsic conformational energetics associated with the glycosyl torsion in DNA: a quantum mechanical study. , 2002, Biophysical journal.

[226]  R. Dickerson,et al.  DNA bending: the prevalence of kinkiness and the virtues of normality. , 1998, Nucleic acids research.

[227]  R. Manderville,et al.  Conformational flexibility of c8-phenoxyl-2'-deoxyguanosine nucleotide adducts. , 2010, Journal of Physical Chemistry B.

[228]  J. Rak,et al.  Single strand break in DNA coupled to the O-P bond cleavage. A computational study. , 2011, Journal of Physical Chemistry B.

[229]  John C. Chaput,et al.  Synthetic Genetic Polymers Capable of Heredity and Evolution , 2012, Science.

[230]  Victor M. Anisimov,et al.  DFT study of polymorphism of the DNA double helix at the level of dinucleoside monophosphates , 2010 .

[231]  W. Olson,et al.  How flexible is the furanose ring? 1. A comparison of experimental and theoretical studies , 1982 .

[232]  Eric Westhof,et al.  The non-Watson-Crick base pairs and their associated isostericity matrices. , 2002, Nucleic acids research.

[233]  Judith M. Fonville,et al.  Chemical shifts in nucleic acids studied by density functional theory calculations and comparison with experiment. , 2012, Chemistry.

[234]  Pavel Hobza,et al.  Accurate interaction energies of hydrogen-bonded nucleic acid base pairs. , 2004, Journal of the American Chemical Society.

[235]  Stephen Wilson,et al.  Intramolecular basis set superposition errors , 2001 .