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Sponer J, Riley KE, Hobza P. Nature and magnitude of aromatic stacking of nucleic acid bases. Phys Chem Chem Phys 2008; 10:2595-610. [PMID: 18464974 DOI: 10.1039/b719370j] [Citation(s) in RCA: 270] [Impact Index Per Article: 16.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
This review summarises recent advances in quantum chemical calculations of base-stacking forces in nucleic acids. We explain in detail the very complex relationship between the gas-phase base-stacking energies, as revealed by quantum chemical (QM) calculations, and the highly variable roles of these interactions in nucleic acids. This issue is rarely discussed in quantum chemical and physical chemistry literature. We further extensively discuss methods that are available for base-stacking studies, complexity of comparison of stacking calculations with gas phase experiments, balance of forces in stacked complexes of nucleic acid bases, and the relation between QM and force field descriptions. We also review all recent calculations on base-stacking systems, including details analysis of the B-DNA stacking. Specific attention is paid to the highest accuracy QM calculations, to the decomposition of the interactions, and development of dispersion-balanced DFT methods. Future prospects of computational studies of base stacking are discussed.
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Affiliation(s)
- Jirí Sponer
- Institute of Organic Chemistry and Biochemistry, vvi, Academy of Sciences of the Czech Republic and Center for Biomolecules and Complex Molecular Systems, Prague 6, Czech Republic
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52
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Das G, Lyngdoh RD. Can configuration of solitary wobble base pairs determine the specificity and degeneracy of the genetic code? Clues from molecular orbital modelling studies. ACTA ACUST UNITED AC 2008. [DOI: 10.1016/j.theochem.2007.11.027] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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53
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Vazquez-Mayagoita Á, Huertas O, Fuentes-Cabrera M, Sumpter BG, Orozco M, Luque FJ. Ab Initio Study of Naphtho-Homologated DNA Bases. J Phys Chem B 2008; 112:2179-86. [DOI: 10.1021/jp7095746] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Affiliation(s)
- Álvaro Vazquez-Mayagoita
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
| | - Oscar Huertas
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
| | - Miguel Fuentes-Cabrera
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
| | - Bobby G. Sumpter
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
| | - Modesto Orozco
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
| | - F. Javier Luque
- Universidad Autónoma Metropolitana Iztapalapa, Department Quím., Div. Ciencias Básicas and Ingn., San Rafael Atlixco 186, Col. Vincetina, Iztapalapa, Mexico City, DF 09340 Mexico, Departament de Fisicoquímica and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona, 08028, Spain, Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6493, Unitat de
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54
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Rutledge LR, Durst HF, Wetmore SD. Computational comparison of the stacking interactions between the aromatic amino acids and the natural or (cationic) methylated nucleobases. Phys Chem Chem Phys 2008; 10:2801-12. [DOI: 10.1039/b718621e] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
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55
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Wang Y. Theoretical Evidence for the Stronger Ability of Thymine to Disperse SWCNT than Cytosine and Adenine: self-stacking of DNA bases vs their cross-stacking with SWCNT. THE JOURNAL OF PHYSICAL CHEMISTRY. C, NANOMATERIALS AND INTERFACES 2008; 112:14297-14305. [PMID: 18946514 PMCID: PMC2570535 DOI: 10.1021/jp803917t] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
Self-stacking of four DNA bases, adenine (A), cytosine (C), guanine (G) and thymine (T), and their cross-stacking with (5,5) as well as (10,0) single walled carbon nanotubes (SWCNTs) were extensively investigated with a novel hybrid DFT method, MPWB1K/cc-pVDZ. The binding energies were further corrected with MP2/6-311++G(d,p) method in both gas phase and aqueous solution, where the solvent effects were included with conductor-like polarized continuum model (CPCM) model and UAHF radii. The strongest self-stacking of G and A takes displaced anti-parallel configuration, but un-displaced or "eclipsed" anti-parallel configuration is the most stable for C and T. In gas phase the self-stacking of nucleobases decreases in the sequence G>A>C>T, while because of quite different solvent effects their self-stacking in aqueous solution exhibits a distinct sequence A>G>T>C. For a given base, cross-stacking is stronger than self-stacking in both gas phase and aqueous solution. Binding energy for cross-stacking in gas phase varies as G>A>T>C for both (10,0) and (5,5) SWCNTs, and the binding of four nucleobases to (10,0) is slightly stronger than to (5,5) SWCNT by a range of 0.1-0.5 kcal/mol. The cross-stacking in aqueous solution varies differently from that gas phase: A>G>T>C for (10,0) SWCNT and G>A>T>C for (5,5) SWCNT. It is suggested that the ability of nucleobases to disperse SWCNT depends on relative strength [Formula: see text] of self-stacking and cross-stacking with SWCNT in aqueous solution. Of the four investigated nucleobases thymine (T) exhibits the highest [Formula: see text] which can well explain the experimental finding that T more efficiently functionalizes SWCNT than C and A.
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56
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Lin IC, Lilienfeld OAV, Coutinho-Neto MD, Tavernelli I, Rothlisberger U. Predicting noncovalent interactions between aromatic biomolecules with London-dispersion-corrected DFT. J Phys Chem B 2007; 111:14346-54. [PMID: 18052270 DOI: 10.1021/jp0750102] [Citation(s) in RCA: 58] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Within the framework of Kohn-Sham density functional theory, interaction energies of hydrogen bonded and pi-pi stacked supramolecular complexes of aromatic heterocycles, nucleobase pairs, and complexes of nucleobases with the anti-cancer agent ellipticine as well as its derivatives are evaluated. Dispersion-corrected atom-centered potentials (DCACPs) are employed together with a generalized gradient approximation to the exchange correlation functional. For all systems presented, the DCACP calculations are in very good agreement with available post Hartree-Fock quantum chemical results. Estimates of 3-body contributions (<15% of the respective interaction energy) and deformation energies (5-15% of the interaction energy) are given. Based on our results, we predict a strongly bound interaction energy profile for the ellipticine intercalation process with a stabilization of nearly 40 kcal/mol (deformation energy not taken into account) when fully intercalated. The frontier orbitals of the intercalator-nucleobase complex and the corresponding non-intercalated nucleobases are investigated and show significant changes upon intercalation. The results not only offer some insights into the systems investigated but also suggest that DCACPs can serve as an effective way to achieve higher accuracy in density functional theory without incurring an unaffordable computational overhead, paving ways for more realistic studies on biomolecular complexes in the condensed phase.
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Affiliation(s)
- I-Chun Lin
- Laboratory of Computational Chemistry and Biochemistry, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
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57
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Swart M, van der Wijst T, Fonseca Guerra C, Bickelhaupt FM. Pi-pi stacking tackled with density functional theory. J Mol Model 2007; 13:1245-57. [PMID: 17874150 PMCID: PMC2039870 DOI: 10.1007/s00894-007-0239-y] [Citation(s) in RCA: 100] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2007] [Accepted: 08/02/2007] [Indexed: 11/26/2022]
Abstract
Through comparison with ab initio reference data, we have evaluated the performance of various density functionals for describing pi-pi interactions as a function of the geometry between two stacked benzenes or benzene analogs, between two stacked DNA bases, and between two stacked Watson-Crick pairs. Our main purpose is to find a robust and computationally efficient density functional to be used specifically and only for describing pi-pi stacking interactions in DNA and other biological molecules in the framework of our recently developed QM/QM approach "QUILD". In line with previous studies, most standard density functionals recover, at best, only part of the favorable stacking interactions. An exception is the new KT1 functional, which correctly yields bound pi-stacked structures. Surprisingly, a similarly good performance is achieved with the computationally very robust and efficient local density approximation (LDA). Furthermore, we show that classical electrostatic interactions determine the shape and depth of the pi-pi stacking potential energy surface.
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Affiliation(s)
- Marcel Swart
- Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
- Institució Catalana de Recerca i Estudis Avançats (ICREA), 08010 Barcelona, Spain
- Institut de Química Computacional, Universitat de Girona, Campus Montilivi, 17071 Girona, Spain
| | - Tushar van der Wijst
- Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - Célia Fonseca Guerra
- Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
| | - F. Matthias Bickelhaupt
- Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
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58
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Czyżnikowska Ż, Zaleśny R, Ziółkowski M, Gora RW, Cysewski P. The nature of interactions in uracil dimer: An ab initio study. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.10.106] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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59
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Rutledge LR, Campbell-Verduyn LS, Hunter KC, Wetmore SD. Characterization of nucleobase-amino acid stacking interactions utilized by a DNA repair enzyme. J Phys Chem B 2007; 110:19652-63. [PMID: 17004834 DOI: 10.1021/jp061939v] [Citation(s) in RCA: 67] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
The present work characterizes the gas-phase stacking interactions between four aromatic amino acid residues (histidine, phenylalanine, tyrosine, and tryptophan) and adenine or 3-methyladenine due to the proposed utilization of these interactions by enzymes that repair DNA alkylation damage. The MP2 potential energy surfaces of the stacked dimers are considered as a function of four variables (vertical displacement, angle of rotation, horizontal displacement, and tilt angle) using a variety of basis sets. It is found that the maximum stacking interaction energy decreases with the amino acid according to TRP > TYR approximately HIS > PHE for both nucleobases. However, the magnitude of the stacking interaction significantly increases upon alkylation (by 50-115%). Comparison of the stacking energies calculated using our surface scans to those estimated from experimental crystal structures indicates that the stacking interactions within the active site of 3-methyladenine DNA glycosylase can account for 65-75% of the maximum possible stacking interaction between the relevant molecules. The decrease in stacking in the crystal structure arises due to significant differences in the relative orientations of the nucleobase and amino acid. Nevertheless, alkylation is found to significantly increase the stacking energy when the crystal structure geometries are considered. Our calculations provide computational support for suggestions that alkylation enhances the stacking interactions within the active site of DNA repair enzymes, and they give a measure of the magnitude of this enhancement. Our results suggest that alkylation likely plays a more important role in substrate identification and removal than the nature of the aromatic amino acid that interacts with the substrate via stacking interactions.
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Affiliation(s)
- Lesley R Rutledge
- Department of Chemistry, Mount Allison University, 63C York Street, Sackville, New Brunswick, Canada E4L 1G8
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60
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Abstract
Non-covalent interactions play an important role in chemistry, physics and especially in biodisciplines. They determine the structure of biomacromolecules such as DNA and proteins and are responsible for the molecular recognition process. Theoretical evaluation of interaction energies is difficult; however, perturbation as well as variation (supermolecular) methods are briefly described. Accurate interaction energies can be obtained by complete basis set limit calculations providing a large portion of correlation energy is covered (e.g. by performing CCSD(T) calculations). The role of H-bonding and stacking interactions in the stabilisation of DNA, oligopeptides and proteins is described, and the importance of London dispersion energy is shown.
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Affiliation(s)
- Jirí Cerný
- Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic
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61
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Sponer JE, Spackova N, Leszczynski J, Sponer J. Principles of RNA base pairing: structures and energies of the trans Watson-Crick/sugar edge base pairs. J Phys Chem B 2007; 109:11399-410. [PMID: 16852393 DOI: 10.1021/jp051126r] [Citation(s) in RCA: 73] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Due to the presence of the 2'-OH hydroxyl group of ribose, RNA molecules utilize an astonishing variability of base pairing patterns to build up their structures and perform the biological functions. Many of the key RNA base pairing families have no counterparts in DNA. In this study, the trans Watson-Crick/sugar edge (trans WC/SE) RNA base pair family has been characterized using quantum chemical and molecular mechanics calculations. Gas-phase optimized geometries from density functional theory (DFT) calculations and RIMP2 interaction energies are reported for the 10 crystallographically identified trans WC/SE base pairing patterns. Further, stable structures are predicted for all of the remaining six possible members of this family not seen in RNAs so far. Among these novel six base pairs, the computations substantially refine two structures suggested earlier based on simple isosteric considerations. For two additional trans WC/SE base pairs predicted in this study, no arrangement was suggested before. Thus, our study brings a complete set of trans WC/SE base pairing patterns. The present results are also contrasted with calculations reported recently for the cis WC/SE base pair family. The computed base pair sizes are in sound correlation with the X-ray data for all WC/SE pairing patterns including both their cis and trans isomers. This confirms that the isostericity of RNA base pairs, which is one of the key factors determining the RNA sequence conservation patterns, originates in the properties of the isolated base pairs. In contrast to the cis structures, however, the isosteric subgroups of the trans WC/SE family differ not only in their H-bonding patterns and steric dimensions but also in the intrinsic strength of the intermolecular interactions. The distribution of the total interaction energy over the sugar-base and base-base contributions is controlled by the cis-trans isomerism.
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Affiliation(s)
- Judit E Sponer
- Institute of Biophysics, Academy of Sciences of the Czech Republic, Kralovopolska 135, 612 65 Brno, Czech Republic.
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62
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Piquemal JP, Chevreau H, Gresh N. Toward a Separate Reproduction of the Contributions to the Hartree−Fock and DFT Intermolecular Interaction Energies by Polarizable Molecular Mechanics with the SIBFA Potential. J Chem Theory Comput 2007; 3:824-37. [DOI: 10.1021/ct7000182] [Citation(s) in RCA: 94] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Jean-Philip Piquemal
- Laboratoire de Chimie Théorique, UMR 7616, Université P. & M. Curie, Case courrier 137, 4, place Jussieu, F. 75252 Paris, Cedex 05, France, and Laboratoire de Pharmacochimie Moléculaire et Structurale, U648 INSERM, IFR Biomédicale, 45, Rue des Saints-Pères, 75006, Paris, France
| | - Hilaire Chevreau
- Laboratoire de Chimie Théorique, UMR 7616, Université P. & M. Curie, Case courrier 137, 4, place Jussieu, F. 75252 Paris, Cedex 05, France, and Laboratoire de Pharmacochimie Moléculaire et Structurale, U648 INSERM, IFR Biomédicale, 45, Rue des Saints-Pères, 75006, Paris, France
| | - Nohad Gresh
- Laboratoire de Chimie Théorique, UMR 7616, Université P. & M. Curie, Case courrier 137, 4, place Jussieu, F. 75252 Paris, Cedex 05, France, and Laboratoire de Pharmacochimie Moléculaire et Structurale, U648 INSERM, IFR Biomédicale, 45, Rue des Saints-Pères, 75006, Paris, France
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63
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Kubar T, Jurecka P, Cerný J, Rezac J, Otyepka M, Valdés H, Hobza P. Density-functional, density-functional tight-binding, and wave function calculations on biomolecular systems. J Phys Chem A 2007; 111:5642-7. [PMID: 17411021 DOI: 10.1021/jp068858j] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Recently, two computational approaches that supply a density-functional-based quantum-chemical method with an empirical term accounting for London dispersion were introduced and found use in the studies of biomolecular systems, namely, DFT-D and SCC-DFTB-D. Here, we examine the performance and usability of these combined techniques for dealing with several tasks typically occurring in the research of biomolecules. The interaction energy of small biomolecular complexes agrees very well with the reference data yielded by correlated ab initio quantum chemical methods. In real-life studies aimed at interaction energy, structure, and infrared spectra, the mentioned methods provide results in good agreement with each other and with experiment (where available). The very favorable time demands of these approaches are discussed, and for each of them, a suitable area of use is proposed on the basis of the results of our analysis.
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Affiliation(s)
- Tomas Kubar
- Institute of Organic Chemistry and Biochemistry, Czech Academy of Sciences and Center of Biomolecules and Complex Molecular Systems, Flemingovo nAm. 2, 166 10 Praha 6, Czech Republic
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64
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McNamara JP, Hillier IH. Semi-empirical molecular orbital methods including dispersion corrections for the accurate prediction of the full range of intermolecular interactions in biomolecules. Phys Chem Chem Phys 2007; 9:2362-70. [PMID: 17492099 DOI: 10.1039/b701890h] [Citation(s) in RCA: 117] [Impact Index Per Article: 6.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Semi-empirical calculations including an empirical dispersive correction are used to calculate intermolecular interaction energies and structures for a large database containing 156 biologically relevant molecules (hydrogen-bonded DNA base pairs, interstrand base pairs, stacked base pairs and amino acid base pairs) for which MP2 and CCSD(T) complete basis set (CBS) limit estimates of the interaction energies are available. The dispersion corrected semi-empirical methods are parameterised against a small training set of 22 complexes having a range of biologically important non-covalent interactions. For the full molecule set (156 complexes), compared to the high-level ab initio database, the mean unsigned errors of the interaction energies at the corrected semi-empirical level are 1.1 (AM1-D) and 1.2 (PM3-D) kcal mol(-1), being a significant improvement over existing AM1 and PM3 methods (8.6 and 8.2 kcal mol(-1)). Importantly, the new semi-empirical methods are capable of describing the diverse range of biological interactions, most notably stacking interactions, which are poorly described by both current AM1 and PM3 methods and by many DFT functionals. The new methods require no more computer time than existing semi-empirical methods and therefore represent an important advance in the study of important biological interactions.
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65
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Dułak M, Wesołowski TA. Interaction energies in non-covalently bound intermolecular complexes derived using the subsystem formulation of density functional theory. J Mol Model 2007; 13:631-42. [PMID: 17354013 DOI: 10.1007/s00894-007-0182-y] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2006] [Accepted: 02/01/2007] [Indexed: 11/30/2022]
Abstract
Interaction energies for a representative sample of 39 intermolecular complexes are calculated using two computational approaches based on the subsystem formulation of density functional theory introduced by Cortona (Phys. Rev. B 44:8454, 1991), adopted for studies of intermolecular complexes (Wesolowski and Weber in Chem. Phys. Lett. 248:71, 1996). The energy components (exchange-correlation and non-additive kinetic) expressed as explicit density functionals are approximated by means of gradient-free- (local density approximation) of gradient-dependent- (generalized gradient approximation) approximations. The sample of the considered intermolecular complexes was used previously by Zhao and Truhlar to compare the interaction energies derived using various methods based on the Kohn-Sham equations with high-level quantum chemistry results considered as the reference. It stretches from rare gas dimers up to strong hydrogen bonds. Our results indicate that the subsystem-based methods provide an interesting alternative to that based on the Kohn-Sham equations. Local density approximation, which is the simplest approximation for the relevant density functionals and which does not rely on any empirical data, leads to a computational approach comparing favorably with more than twenty methods based on the Kohn-Sham equations including the ones, which use extensively empirical parameterizations. For various types of non-bonding interactions, the strengths and weaknesses of gradient-free and gradient-dependent approximations to exchange-correlation and non-additive kinetic energy density functionals are discussed in detail.
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Affiliation(s)
- Marcin Dułak
- Département de Chimie Physique, Université de Genève, 30, quai Ernest-Ansermet, CH-1211, Genève 4, Switzerland
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66
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McConnell TL, Wetmore SD. How Do Size-Expanded DNA Nucleobases Enhance Duplex Stability? Computational Analysis of the Hydrogen-Bonding and Stacking Ability of xDNA Bases. J Phys Chem B 2007; 111:2999-3009. [PMID: 17388411 DOI: 10.1021/jp0670079] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
Computational chemistry (B3LYP, MP2) is used to study the properties of size-expanded DNA nucleobases generated by inserting a benzene spacer into the natural nucleobases. Although the addition of the spacer does not significantly affect the hydrogen-bonding properties of natural nucleobases, the orientation of the base about the glycosidic bond necessary for Watson-Crick binding is destabilized, which could have implications for the selectivity of expanded bases, as well as the stability of expanded duplexes. Consideration of the (stacked) binding energies in the preferred relative orientation of natural and expanded nucleobases aligned according to their centers of mass reveals that the stacking within natural dimers can be increased by up to 50% upon expansion of one nucleobase and up to 90% upon expansion of two nucleobases. The implications of these findings to the stability of expanded duplexes were revealed by considering simplified models of natural and mixed duplexes composed of four nucleobases. Although intra- and interstrand interactions within double helices are typically less than those predicted when nucleobases are stacked according to their centers of mass, some nucleobases utilize their full stacking potential within double helices, where both intra- and interstrand interactions can be significant. Most importantly, increasing the size of nucleobases within the duplex significantly increases both intra- and interstrand stacking interactions. Specifically, some interactions are double the magnitude of the corresponding intrastrand interactions in natural helices, and even greater increases in interstrand interactions are sometimes found. Thus, our work suggests that mixed duplexes composed of natural bases hydrogen bound to expanded bases may exploit the increase in the inherent stacking ability of the expanded bases in more than one way and thereby afford duplexes with greater stability than natural DNA.
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Affiliation(s)
- Tom L McConnell
- Department of Chemistry, Mount Allison University, 63C York Street, Sackville, New Brunswick, E4L 1G8, Canada
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67
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Olaso-González G, Roca-Sanjuán D, Serrano-Andrés L, Merchán M. Toward the understanding of DNA fluorescence: the singlet excimer of cytosine. J Chem Phys 2007; 125:231102. [PMID: 17190539 DOI: 10.1063/1.2408411] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
By using the multiconfigurational second-order perturbation method CASPT2, including corrections for the basis set superposition error, the lowest-singlet excited state of the face-to-face pi-stacked cytosine homodimer is revealed to be bound by about half an eV, being the source of an emissive feature consistent with the observed redshifted fluorescence.
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Affiliation(s)
- Gloria Olaso-González
- Instituto de Ciencia Molecular, Universitat de València, Apartado 22085, ES-46071 Valencia, Spain
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68
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Jurecka P, Cerný J, Hobza P, Salahub DR. Density functional theory augmented with an empirical dispersion term. Interaction energies and geometries of 80 noncovalent complexes compared withab initioquantum mechanics calculations. J Comput Chem 2007; 28:555-69. [PMID: 17186489 DOI: 10.1002/jcc.20570] [Citation(s) in RCA: 504] [Impact Index Per Article: 29.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
Standard density functional theory (DFT) is augmented with a damped empirical dispersion term. The damping function is optimized on a small, well balanced set of 22 van der Waals (vdW) complexes and verified on a validation set of 58 vdW complexes. Both sets contain biologically relevant molecules such as nucleic acid bases. Results are in remarkable agreement with reference high-level wave function data based on the CCSD(T) method. The geometries obtained by full gradient optimization are in very good agreement with the best available theoretical reference. In terms of the standard deviation and average errors, results including the empirical dispersion term are clearly superior to all pure density functionals investigated-B-LYP, B3-LYP, PBE, TPSS, TPSSh, and BH-LYP-and even surpass the MP2/cc-pVTZ method. The combination of empirical dispersion with the TPSS functional performs remarkably well. The most critical part of the empirical dispersion approach is the damping function. The damping parameters should be optimized for each density functional/basis set combination separately. To keep the method simple, we optimized mainly a single factor, s(R), scaling globally the vdW radii. For good results, a basis set of at least triple-zeta quality is required and diffuse functions are recommended, since the basis set superposition error seriously deteriorates the results. On average, the dispersion contribution to the interaction energy missing in the DFT functionals examined here is about 15 and 100% for the hydrogen-bonded and stacked complexes considered, respectively.
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Affiliation(s)
- Petr Jurecka
- Department of Chemistry, University of Calgary, 2500 University Drive NW Calgary, Alberta, Canada T2N 1N4.
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69
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Hunter KC, Millen AL, Wetmore SD. Effects of Hydrogen-Bonding and Stacking Interactions with Amino Acids on the Acidity of Uracil. J Phys Chem B 2007; 111:1858-71. [PMID: 17256895 DOI: 10.1021/jp066902p] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
The effects of hydrogen-bonding interactions with amino acids on the (N1) acidity of uracil are evaluated using (B3LYP) density functional theory. Many different binding arrangements of each amino acid to three uracil binding sites are considered. The effects on the uracil acidity are found to significantly depend upon the nature of the amino acid and the binding orientation, but weakly depend on the binding site. Our results reveal that in some instances small models for the amino acids can be used, while for other amino acids larger models are required to properly describe the binding to uracil. The gas-phase acidity of uracil is found to increase by up to approximately 60 kJ mol(-1) due to discrete hydrogen-bonding interactions. Although (MP2) stacking interactions with aromatic amino acids decrease the acidity of uracil, unexpected increases in the acidity are found when any of the aromatic amino acids, or the backbone, hydrogen bond to uracil. Consideration of enzymatic and aqueous environments leads to decreases in the effects of the amino acids on the acidity of uracil. However, we find that the magnitude of the decrease varies with the nature of the molecule bound, as well as the (gas-phase) binding orientations and strengths, and therefore solvation effects should be considered on a case-by-case basis in future work. Nevertheless, the effects of amino acid interactions within enzymatic environments are as much as approximately 35 kJ mol(-1). The present study has general implications for understanding the nature of active site amino acids in enzymes, such as DNA repair enzymes, that catalyze reactions involving anionic nucleobase intermediates.
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Affiliation(s)
- Ken C Hunter
- Department of Chemistry, Mount Allison University, 63C York Street, Sackville, New Brunswick E4L 1G8, Canada
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70
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Rutledge LR, Wheaton CA, Wetmore SD. A computational characterization of the hydrogen-bonding and stacking interactions of hypoxanthine. Phys Chem Chem Phys 2007; 9:497-509. [PMID: 17216066 DOI: 10.1039/b606388h] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The hydrogen-bonding and stacking interactions of hypoxanthine, a potential universal nucleobase, were calculated using a variety of methodologies (CCSD(T), MP2, B3LYP, PWB6K, AMBER). All methods predict that the hydrogen-bonding interaction in the hypoxanthine-cytosine pair is approximately 25 kJ mol(-1) stronger than that in the other dimers. Although the calculations support suggestions from experiments that hypoxanthine preferentially binds with cytosine, the trend in the calculated hydrogen-bond strengths for the remaining natural nucleobases do not show a strong correlation with the experimentally predicted binding preferences. However, our calculations suggest that the stacking interactions of hypoxanthine are similar in magnitude to the hydrogen-bonding interactions at all levels of theory (with the exception of B3LYP, which incorrectly predicts stacked dimers to be unstable). Therefore, stacking interactions should also be considered when analyzing the stability of DNA helices containing hypoxanthine and the use of larger models that account for both hydrogen-bonding and stacking within DNA duplexes will likely result in better agreement with experimental observations. For the majority of the dimers, PWB6K and AMBER provide reasonable binding strengths at reduced computational costs, and therefore will be useful techniques for considering larger models.
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Affiliation(s)
- Lesley R Rutledge
- Department of Chemistry, Mount Allison University, 63C York Street, Sackville, New Brunswick, Canada E4L 1G8
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71
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Fan WJ, Zhang RQ, Liu S. Computation of large systems with an economic basis set: Structures and reactivity indices of nucleic acid base pairs from density functional theory. J Comput Chem 2007; 28:967-74. [PMID: 17269120 DOI: 10.1002/jcc.20670] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
We show here that an economic basis set can describe nucleic acid base pairs involving the hydrogen bond interactions in density functional calculations. The economic basis set in which the polarization function is added only to oxygen and nitrogen atoms of strong electronegativity can predict reliable geometric structures and dipole moment of nucleic acid base pairs, comparable to those obtained from the basis set of 6-31G* in B3LYP calculations. Combining single point calculations with the standard basis set on the geometric structures optimized by the economic basis set, the present approach has predicted accurate natural bond orbital charge, binding energy, electronegativity, hardness, softness, and electrophilicity index. The principle for basis selection presented in this study can be regarded as a general guideline in the computation of large biological systems with considerably high accuracy and low computational expense.
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Affiliation(s)
- W J Fan
- Center of Super-Diamond and Advanced Films (COSDAF) & Department of Physics and Materials Science, City University of Hong Kong, Hong Kong SAR, People's Republic of China
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72
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Morgado C, Vincent MA, Hillier IH, Shan X. Can the DFT-D method describe the full range of noncovalent interactions found in large biomolecules? Phys Chem Chem Phys 2007; 9:448-51. [PMID: 17216059 DOI: 10.1039/b615263e] [Citation(s) in RCA: 121] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The DFT-D method is shown to yield interaction energies between biologically important groups to an accuracy comparable to that obtained using state-of-the-art ab initio methods.
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Affiliation(s)
- Claudio Morgado
- School of Chemistry, University of Manchester, Manchester, UK
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73
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Sinnokrot MO, Sherrill CD. High-Accuracy Quantum Mechanical Studies of π−π Interactions in Benzene Dimers. J Phys Chem A 2006; 110:10656-68. [PMID: 16970354 DOI: 10.1021/jp0610416] [Citation(s) in RCA: 588] [Impact Index Per Article: 32.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Although supramolecular chemistry and noncovalent interactions are playing an increasingly important role in modern chemical research, a detailed understanding of prototype noncovalent interactions remains lacking. In particular, pi-pi interactions, which are ubiquitous in biological systems, are not fully understood in terms of their strength, geometrical dependence, substituent effects, or fundamental physical nature. However, state-of-the-art quantum chemical methods are beginning to provide answers to these questions. Coupled-cluster theory through perturbative triple excitations in conjunction with large basis sets and extrapolations to the complete basis set limit have provided definitive results for the binding energy of several configurations of the benzene dimer, and benchmark-quality ab initio potential curves are being used to calibrate new density functional and force-field models for pi-pi interactions. Studies of substituted benzene dimers indicate flaws in the conventional wisdom about substituent effects in pi-pi interactions. Three-body and four-body interactions in benzene clusters have also been examined.
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Affiliation(s)
- Mutasem Omar Sinnokrot
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332-0400, USA
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74
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Sponer J, Jurecka P, Marchan I, Luque FJ, Orozco M, Hobza P. Nature of base stacking: reference quantum-chemical stacking energies in ten unique B-DNA base-pair steps. Chemistry 2006; 12:2854-65. [PMID: 16425171 DOI: 10.1002/chem.200501239] [Citation(s) in RCA: 195] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Base-stacking energies in ten unique B-DNA base-pair steps and some other arrangements were evaluated by the second-order Møller-Plesset (MP2) method, complete basis set (CBS) extrapolation, and correction for triple (T) electron-correlation contributions. The CBS(T) calculations were compared with decade-old MP2/6-31G*(0.25) reference data and AMBER force field. The new calculations show modest increases in stacking stabilization compared to the MP2/6-31G*(0.25) data and surprisingly large sequence-dependent variation of stacking energies. The absolute force-field values are in better agreement with the new reference data, while relative discrepancies between quantum-chemical (QM) and force-field values increase modestly. Nevertheless, the force field provides good qualitative description of stacking, and there is no need to introduce additional pair-additive electrostatic terms, such as distributed multipoles or out-of-plane charges. There is a rather surprising difference of about 0.1 A between the vertical separation of base pairs predicted by quantum chemistry and derived from crystal structures. Evaluations of different local arrangements of the 5'-CG-3' step indicate a sensitivity of the relative stacking energies to the level of calculation. Thus, describing quantitative relations between local DNA geometrical variations and stacking may be more complicated than usually assumed. The reference calculations are complemented by continuum-solvent assessment of solvent-screening effects.
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Affiliation(s)
- Jirí Sponer
- Intitute of Biophysics, Academy of Sciences of the Czech Republic, Královopolská 135, 612 65 Brno, Czech Republic.
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75
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Krasovska MV, Sefcikova J, Réblová K, Schneider B, Walter NG, Sponer J. Cations and hydration in catalytic RNA: molecular dynamics of the hepatitis delta virus ribozyme. Biophys J 2006; 91:626-38. [PMID: 16617077 PMCID: PMC1483112 DOI: 10.1529/biophysj.105.079368] [Citation(s) in RCA: 106] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The hepatitis delta virus (HDV) ribozyme is an RNA enzyme from the human pathogenic HDV. Cations play a crucial role in self-cleavage of the HDV ribozyme, by promoting both folding and chemistry. Experimental studies have revealed limited but intriguing details on the location and structural and catalytic functions of metal ions. Here, we analyze a total of approximately 200 ns of explicit-solvent molecular dynamics simulations to provide a complementary atomistic view of the binding of monovalent and divalent cations as well as water molecules to reaction precursor and product forms of the HDV ribozyme. Our simulations find that an Mg2+ cation binds stably, by both inner- and outer-sphere contacts, to the electronegative catalytic pocket of the reaction precursor, in a position to potentially support chemistry. In contrast, protonation of the catalytically involved C75 in the precursor or artificial placement of this Mg2+ into the product structure result in its swift expulsion from the active site. These findings are consistent with a concerted reaction mechanism in which C75 and hydrated Mg2+ act as general base and acid, respectively. Monovalent cations bind to the active site and elsewhere assisted by structurally bridging long-residency water molecules, but are generally delocalized.
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Affiliation(s)
- Maryna V Krasovska
- Institute of Biophysics, Academy of Sciences of the Czech Republic, 61265 Brno, Czech Republic
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76
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Otyepka M, Bártová I, Kríz Z, Koca J. Different Mechanisms of CDK5 and CDK2 Activation as Revealed by CDK5/p25 and CDK2/Cyclin A Dynamics. J Biol Chem 2006; 281:7271-81. [PMID: 16407256 DOI: 10.1074/jbc.m509699200] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
Abstract
A detailed analysis is presented of the dynamics of human CDK5 in complexes with the protein activator p25 and the purine-like inhibitor roscovitine. These and other findings related to the activation of CDK5 are critically reviewed from a molecular perspective. In addition, the results obtained on the behavior of CDK5 are compared with data on CDK2 to assess the differences and similarities between the two kinases in terms of (i) roscovitine binding, (ii) regulatory subunit association, (iii) conformational changes in the T-loop following CDK/regulatory subunit complex formation, and (iv) specificity in CDK/regulatory subunit recognition. An energy decomposition analysis, used for these purposes, revealed why the binding of p25 alone is sufficient to stabilize the extended active T-loop conformation of CDK5, whereas the equivalent conformational change in CDK2 requires both the binding of cyclin A and phosphorylation of the Thr(160) residue. The interaction energy of the CDK5 T-loop with p25 is about 26 kcal.mol(-1) greater than that of the CDK2 T-loop with cyclin A. The binding pattern between CDK5 and p25 was compared with that of CDK2/cyclin A to find specific regions involved in CDK/regulatory subunit recognition. The analyses performed revealed that the alphaNT-helix of cyclin A interacts with the alpha6-alpha7 loop and the alpha7 helix of CDK2, but these regions do not interact in the CDK5/p25 complex. Further differences between the CDK5/p25 and CDK2/cyclin A systems studied are discussed with respect to their specific functionality.
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Affiliation(s)
- Michal Otyepka
- Department of Physical Chemistry and Center for Biomolecules and Complex Molecular Systems, Palacký University, tr. Svobody 26, 771 46 Olomouc, Czech Republic.
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78
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Jurecka P, Sponer J, Cerný J, Hobza P. Benchmark database of accurate (MP2 and CCSD(T) complete basis set limit) interaction energies of small model complexes, DNA base pairs, and amino acid pairs. Phys Chem Chem Phys 2006; 8:1985-93. [PMID: 16633685 DOI: 10.1039/b600027d] [Citation(s) in RCA: 1372] [Impact Index Per Article: 76.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
MP2 and CCSD(T) complete basis set (CBS) limit interaction energies and geometries for more than 100 DNA base pairs, amino acid pairs and model complexes are for the first time presented together. Extrapolation to the CBS limit is done by using two-point extrapolation methods and different basis sets (aug-cc-pVDZ - aug-cc-pVTZ, aug-cc-pVTZ - aug-cc-pVQZ, cc-pVTZ - cc-pVQZ) are utilized. The CCSD(T) correction term, determined as a difference between CCSD(T) and MP2 interaction energies, is evaluated with smaller basis sets (6-31G** and cc-pVDZ). Two sets of complex geometries were used, optimized or experimental ones. The JSCH-2005 benchmark set, which is now available to the chemical community, can be used for testing lower-level computational methods. For the first screening the smaller training set (S22) containing 22 model complexes can be recommended. In this case larger basis sets were used for extrapolation to the CBS limit and also CCSD(T) and counterpoise-corrected MP2 optimized geometries were sometimes adopted.
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Affiliation(s)
- Petr Jurecka
- Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic and Center for Biomolecules and Complex Molecular Systems, Flemingovo námestí 2, 166 10, Prague 6, Czech Republic
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Huertas O, Blas JR, Soteras I, Orozco M, Luque FJ. Benzoderivatives of Nucleic Acid Bases as Modified DNA Building Blocks. J Phys Chem A 2005; 110:510-8. [PMID: 16405323 DOI: 10.1021/jp052126u] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The tautomeric properties of benzoderivatives of the canonical nucleic acid bases have been studied by using different computational approaches. Attention has been paid to the impact of the benzene group in altering the tautomeric preferences of the canonical bases both in the gas phase and in aqueous solution. To this end, relative solvation free energies of the tautomers determined from Self-Consistent Reaction Field continuum calculations and Monte Carlo-Free Energy Perturbation are combined with gas-phase tautomerization free energies determined from quantum mechanical calculations. The results provide a detailed picture of the tautomeric preferences of the benzoderivatives of nucleic acid bases. This information is used to examine the recognition properties of the preferred tautomers of the benzo-fused derivatives, paying particular attention to the ability to form Watson-Crick hydrogen-bonding and stacking interactions as well as to the hydrophobic nature of the modified bases. The implications of present results on the potential use of benzo-fused bases as potential building blocks in modified DNA duplexes are examined.
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Affiliation(s)
- Oscar Huertas
- Departament de Fisicoquímica, Facultat de Farmacia, Universitat de Barcelona, Avgda Diagonal 643, Barcelona 08028, Spain
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80
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Stacking Interactions in Benzene and Cytosine Dimers: From Molecular Electron Density Perspective. Struct Chem 2005. [DOI: 10.1007/s11224-005-4455-8] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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81
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Zhao Y, Truhlar DG. How well can new-generation density functional methods describe stacking interactions in biological systems? Phys Chem Chem Phys 2005; 7:2701-5. [PMID: 16189582 DOI: 10.1039/b507036h] [Citation(s) in RCA: 226] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We compare the performance of four recently developed DFT methods (MPW1B95, MPWB1K, PW6B95, and PWB6K) and two previous, generally successful DFT methods (B3LYP and B97-1) for the calculation of stacking interactions in six nucleic acid bases complexes and five amino acid pairs and for the calculation of hydrogen bonding interactions in two Watson-Crick type base pairs. We found that the four newly developed DFT methods give reasonable results for the stacking interactions in the DNA base pairs and amino acid pairs, whereas the previous DFT methods fail to describe interactions in these stacked complexes. We conclude that the new generation of DFT methods have greatly improved performance for stacking interaction as compared to previously available methods. We recommend the PWB6K method for investigating large DNA or protein systems where stacking plays an important role.
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Affiliation(s)
- Yan Zhao
- Department of Chemistry and Supercomputing Institute, University of Minnesota, Minneapolis, MN 55455-0431, USA
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