Conformational Characteristics of Mixed Sugar Puckered Deoxydinucleoside Triphosphate Units d-pCpGp and d-pGpCp from Energy Minimization Studies

Abstract

The deoxydinucleoside triphosphate units d-pCpGp and d-pGpCp were subjected to a rigorous theoretical investigation with a view to describing their distinctive conformational characteristics. For each unit 216 probable three-dimensional forms defined by the backbone-base dihedral angles and sugar pucker modes were considered for conformational energy minimization process and scrutinized with reference to properties, such as base-stacking, hydrogen-bonding, internal flexibility and base sequence-phosphate influence. The P-O bond torsions and the phosphate groups were treated with special attention. The results reveal a number of preferred conformational states other than the known helical forms, such as, A-, B-, C-, Z-, and Watson-Crick conformation. Many interesting one-step (change in only one of the dihedral angles or sugar puckers) conformational transitions which involve just about a kcal/mol of energy came to light. The two base sequences CG and GC were noted to differ strikingly in many of their conformational characteristics.     

Conformational characteristics of mixed sugar puckered deoxytetranucleoside triphosphate d-GpCpGpC from energy minimization studies

As a continuation of our theoretical studies on nucleic acid subunit systems, in this article we consider the case of the tetranucleoside d-GpCpGpC, the minimally ideal representative unit for analyzing the relative stabilities of different forms of homo- and mixed helical conformation of polynucleotides. The four sugar rings are kept so as to generate B-genus, B+A genus and Z-genus conformations. Twenty five helical conformational states which resulted from judicious mixing of A-, B-, C-, W-, and Z-, states locally are subjected to energy minimization permitting the 19 dihedral angles to vary simultaneously. Conformational states corresponding to regular helical forms and mixed helical forms, when analyzed provide valuable information as to the local conformational flexibility and transitions available to polynucleotides.     

Parallel double DNA spiral. A conformational analysis of regular spirals of poly(dA).poly(dT) with different variations of joining bases

We have performed a conformational analysis of DNA double helices poly(dA).poly(dT) with parallel directed backbone strands in heteronomic model frames. All possible models of base pairs and various mutual orientation of base pair and sugarphosphate backbones were checked. By the potential energy optimization the dihedral angles and helices parameters of stable conformations of parallel double polynucleotides were calculated. The dependences of conformational energy on the base pair structure were studied.     

Conformational Characteristics of Mixed Sugar Puckered Deoxytetranucleoside Triphosphate d-GpCpGpC from Energy Minimization Studies

Abstract

As a continuation of our theoretical studies on nucleic acid subunit systems, in this article we consider the case of the tetranucleoside d-GpCpGpC, the minimally ideal representative unit for analyzing the relative stabilities of different forms of homo- and mixed helical conformation of polynucleotides. The four sugar rings are kept so as to generate B-genus, B+A genus and Z-genus conformations. Twenty five helical conformational states which resulted from judicious mixing of A-, B-, C-, W-, and Z-, states locally are subjected to energy minimization permitting the 19 dihedral angles to vary simultaneously. Conformational states corresponding to regular helical forms and mixed helical forms, when analyzed provide valuable information as to the local conformational flexibility and transitions available to polynucleotides.     

Parallel DNA helices. Conformational analysis of regular poly(dG).poly(dC) helices with different variants of base binding]

We have performed a conformational analysis of DNA double helices with parallel directed backbone strands. The calculations were made for homopolymers poly(dG).poly(dC). All possible models of base binding were checked. By the potential energy optimization the dihedral angles and helices parameters of stable conformations of parallel double polynucleotides were calculated. The dependences of conformational energy on the base pair structure were studied. Possible structure of parallel helices with various nucleotide composition are discussed.     

Interdependence of conformational variables in double-helical DNA.

DNA exhibits conformational polymorphism, with the details depending on the sequence and its environment. To understand the mechanisms of conformational polymorphism and these transitions, we examine the interrelationships among the various conformational variables of DNA. In particular, we examine the stress-strain relation among conformational variables, describing base-pair morphology and their effects on the backbone conformation. For the calculation of base pairs, we use the method previously developed to calculate averages over conformational variables of DNA. Here we apply this method to calculate the Boltzmann averages of conformational variables for fixed values of one particular conformational variable, which reflects the strain in the structure responding to a particular driving stress. This averaging over all but one driving variable smooths the usual rough energy surface to permit observation of the effects of one conformational variable at a time. The stress-strain analyses of conformational variables of base pair slide, twist, and roll, which exhibit characteristic changes during the conformational transition of DNA, have shown that the conformational changes of base pairs are strongly correlated with one another. Furthermore, the stress-strain relations are not symmetrical with respect to these variables, i.e., the response of one coordinate to another is different from the reverse direction. We also examine the effect of conformational changes in base-pair variables on the sugar-backbone conformation by using the minimization method we developed. The conformational changes of base pairs affect the sugar pucker and other dihedral angles of the backbone of DNA, but each variable affects the sugar-backbone differently. In particular, twist is found to have the most influence in affecting the sugar pucker and backbone conformation. These calculated conformational changes in base pairs and backbone segments are consistent with experimental observations and serve to validate the calculation method.     

Simulation of conformational possibilities of DNA via calculation of nonbonded interactions of complementary dinucleoside phosphate complexes

Using classical potential functions, we carried out potential-energy calculations on the complementary deoxydinucleoside phosphate complexes dApdA:dUpdU, dUpdA:dUpdA, and dApdU:dApdU. All dihedral and bond angles, except those of the nitrogen bases, were varied. The resulting minimum-energy conformations of the complexes are close to DNA A- and B-family conformations, with a typical arrangement of the nitrogen bases. The dihedral and bond angles of one of the molecules forming the complex can thereby differ by several degrees from those of the other molecule. For different base sequences, some dihedral and bond angles may vary over a range of several degrees without appreciably changing the total energy of the complex. Some low-energy conformations of the complexes corresponding to other regions of the conformational space are also found. The biological consequences of possible changes in dihedral and bond angles, occurring on interaction with other molecules, are discussed.     

Modified nucleotides: Their conformational characteristics

Potential energy as contributions from non-bonded, electrostatic, hydrogen bonding and torsional interactions was computed as a function of dihedral angles around the glycosylic and exocyclic bonds for four important modified nucleic acid subunits, viz. (1) pseudouridine with unusual glycosylic bond, (2) dihydrouridine with saturated base ring, (3) N₂-dimethyl guanosine having double methylation in the base ring, and (4) 2′-0-methyl adenosine having methylation in the ribose moiety. The two preferred, C₂,-endo and C₃,-endo, sugar puckers were considered. The probable low energy regions in the χ-ψ space and the population of various conformational states for each of the molecules were determined. The results of modified units were compared with those of the corresponding normal units. Experimental results available on simple molecular systems and on tRNA molecules were used for comparisons with theoretical predictions.     

Four-stranded DNA helices: conformational analysis of regular poly(dT).poly(dA).poly(dA).poly(dT) helices with various types of base binding

The paper presents results obtained in conformational analysis of homopolymeric four-stranded poly(dT).poly(dA).poly(dA).poly(dT) DNA helices in which the pairs of strands with identical bases are parallel and have a two-fold symmetry axis. All possible models of base binding to yield a symmetric complex have been considered. The dihedral angles of sugar-phosphate backbones and helix parameters, which are consistent with the minima of conformational energy for four-stranded DNAs, have been determined using the results of optimization of conformational energy calculated at atom-atom approximation. Potential energy is shown to depend on the structure of base complexes and on the mutual orientation of unlike strands. Possible biological functions of four-stranded helices are discussed.     

Efficient search on energy minima for structure prediction of nucleic acid motifs

Structure prediction of non-canonical motifs such as mismatches, extra unmatched nucleotides or internal and hairpin loop structures in nucleic acids is of great importance for understanding the function and design of nucleic acid structures. Systematic conformational analysis of such motifs typically involves the generation of many possible combinations of backbone dihedral torsion angles for a given motif and subsequent energy minimization (EM) and evaluation. Such approach is limited due to the number of dihedral angle combinations that grows very rapidly with the size of the motif. Two conformational search approaches have been developed that allow both an effective crossing of barriers during conformational searches and the computational demand grows much less with system size then search methods that explore all combinations of backbone dihedral torsion angles. In the first search protocol single torsion angles are flipped into favorable states using constraint EM and subsequent relaxation without constraints. The approach is repeated in an iterative manner along the backbone of the structural motif until no further energy improvement is obtained. In case of two test systems, a DNA-trinucleotide loop (sequence: GCA) and a RNA tetraloop (sequence: UUCG), the approach successfully identified low energy states close to experiment for two out of five start structures. In the second method randomly selected combinations of up to six backbone torsion angles are simultaneously flipped into preset ranges by a short constraint EM followed by unconstraint EM and acceptance according to a Metropolis acceptance criterion. This combined stochastic/EM search was even more effective than the single torsion flip approach and selected low energy states for the two test cases in between two and four cases out of five start structures.     

Conformational characteristics of dApdA,dApdT, dTpdA,and dTpdT from energy minimization studies

The conformational characteristics of the deoxydinucleoside monophosphates with adenine and thymine bases in all possible sequences, namely, dApdA, dApdT, dTpdA, and dTpdT have been studied using an improved set of energy parameters to calculate the total potential energy and an improved set of energy parameters to calculate the total potential energy and an improved version of the minimization technique to minimize the total energy by allowing all seven dihedral angles of the molecular fragment to vary simultaneously. The results reveal that the most preferred conformation in all these units usually corresponds to one of the four helical conformations, namely, the A-DNA, B-DNA, C-DNA, and Watson-Crick DNA models. These helical conformations differ in energies by about 3 kcal/mol with respect to one another. The conformations which could promote a loop or bend in the backbone are, in general, less stable by about 3.5 kcal/mol with respect to the respective lowest-energy helical conformation. The results indicate that there is a definite influence of bases and their actual sequences on the preferred conformations of the deoxydinucleoside monophosphates. The lowest-energy structure, although corresponding to one of the four helical conformations, differ with the type of the deoxydinucleoside monophosphate. Good or reasonable base stacking is noted in dApdA and dTpdA with both C(3′)-endo and C(2′)-endo sugars and in dApdT and dTpdT with only C(3′)-endo sugar. The inversion of the base sequence in deoxydinucleoside monophosphates alters the order of preference of low-energy conformations as well as the base-stacking property of the unit. The paths linking the starting and final states in the (ω′, ω) plane show interesting features with regard to the energy spread, thus providing insight into the path of conformational movement ofthe molecule under slight perturbation. The stabilities of the A and B forms, including the internal energies of the C(3′)-endo ans C(2′)-endo sugar systems, indicate that for dTpdT the B → A transition is less probable. For dApdA, dApdT, and dTpdA this transition is probable in the same order of preference. We propose that the T-A sequence in the polynucleotide chain might serve as the site accessible for B ? A transitions. The theoretical predictions are in good agreement with the experimental observations.     

Parallel DNA double helices. II. Conformational analysis of regular helices having a second order axis of symmetry

Conformational analysis of double helices of DNA with parallel arranged sugar-phosphate chains connected by twofold symmetry has been performed. Homopolymers poly(dA).poly(dA), poly(dC).poly(dC), poly(dG).poly(dG) and poly(dT).poly(dT) were studied. For each of the homopolymers all variants of H-bond pairing were checked. The maps of closing of sugar-phosphate backbone were previously computed. By the optimization of potential energy the dihedral angles and helix parameters of relatively stable conformations of parallel stranded polynucleotides were calculated. The dependence of conformational energy on the nucleic base character and the base pair type were studied. Two main conformational regions for favourable "parallel" helix of polynucleotides were found. The former of these two regions coincide with the region of typical conformational parameters of B-DNA. On an average the conformational energy of "parallel" DNA is close to the energy of canonic "antiparallel" B-DNA.     

Side-chain conformational changes upon Protein-Protein Association

Conformational changes upon protein-protein association are the key element of the binding mechanism. The study presents a systematic large-scale analysis of such conformational changes in the side chains. The results indicate that short and long side chains have different propensities for the conformational changes. Long side chains with three or more dihedral angles are often subject to large conformational transition. Shorter residues with one or two dihedral angles typically undergo local conformational changes not leading to a conformational transition. A relationship between the local readjustments and the equilibrium fluctuations of a side chain around its unbound conformation is suggested. Most of the side chains undergo larger changes in the dihedral angle most distant from the backbone. The frequencies of the core-to-surface interface transitions of six nonpolar residues and Tyr are larger than the frequencies of the opposite surface-to-core transitions. The binding increases both polar and nonpolar interface areas. However, the increase of the nonpolar area is larger for all considered classes of protein complexes, suggesting that the protein association perturbs the unbound interfaces to increase the hydrophobic contribution to the binding free energy. To test modeling approaches to side-chain flexibility in protein docking, conformational changes in the X-ray set were compared with those in the docking decoy sets. The results lead to a better understanding of the conformational changes in proteins and suggest directions for efficient conformational sampling in docking protocols.     

Efficient Search on Energy Minima for Structure Prediction of Nucleic Acid Motifs

Abstract

Structure prediction of non-canonical motifs such as mismatches, extra unmatched nucleotides or internal and hairpin loop structures in nucleic acids is of great importance for understanding the function and design of nucleic acid structures. Systematic conformational analysis of such motifs typically involves the generation of many possible combinations of backbone dihedral torsion angles for a given motif and subsequent energy minimization (EM) and evaluation. Such approach is limited due to the number of dihedral angle combinations that grows very rapidly with the size of the motif. Two conformational search approaches have been developed that allow both an effective crossing of barriers during con-formational searches and the computational demand grows much less with system size then search methods that explore all combinations of backbone dihedral torsion angles. In the first search protocol single torsion angles are flipped into favorable states using constraint EM and subsequent relaxation without constraints. The approach is repeated in an iterative manner along the backbone of the structural motif until no further energy improvement is obtained. In case of two test systems, a DNA-trinucleotide loop (sequence: GCA) and a RNA tetraloop (sequence: UUCG), the approach successfully identified low energy states close to experiment for two out of five start structures. In the second method randomly selected combinations of up to six backbone torsion angles are simultaneously flipped into preset ranges by a short constraint EM followed by unconstraint EM and acceptance according to a Metropolis acceptance criterion. This combined stochastic/EM search was even more effective than the single torsion flip approach and selected low energy states for the two test cases in between two and four cases out of five start structures.     

Four-stranded DNA. Conformational analysis of regular spirals of poly(dT).poly(dA).poly(dA).poly(dT) with different base binding variations

Conformational analysis of four stranded DNA helices poly(dT).poly(dA).poly(dA).poly(dT) with parallel arrangement of the identical sugar-phosphate chains connected by twofold symmetry has been performed. All possible models of symmetrical base binding were checked. By the potential energy optimization the dihedral angles and helices parameters of stable conformations of four stranded polynucleotides were calculated. The dependences of conformational energy on the base complex structure and mutual orientation of the poly(dA).and poly(dT) chains were studied. Possible biological functions of four stranded helices are discussed.     

Consistent force field calculations on 2,5-diketopiperazine and its 3.6-dimethyl derivatives

The minimum energy conformations are calculated for 2, 5-diketopiperazine (DKP) and its 3,6-dimethyl derivatives (DL-DMDKP and LL-DMDKP), using a consistent force field approach developed previously. The energy function parameters that were not required in earlier calculations on alkanes, amides, mid lactams are fitted to spectral and conformational data on the diketopiperazines. Vibrational assignments are suggested for DKP. Conformational energies are also determined over a range of selected values for ring dihedral angles, and the shape of the potential energy functions is examined over deviations from planarity. DKP and LL-DMDKP are found to have non-planar minimum energy conformations, separated from planar by less than a kcal/mole. DL-DMKP exhibits a nearly flat trough about the planar conformation. Calculations of minimum energies with one dihedral angle coordinate constrainted show a coupling between bond angles and dihedral angles in agreement with recent suggestions of Benedetti.     

Molecular mechanics evaluation of the proposed mechanisms for the degradation of urea by urease

A thorough conformational search of all the conformations available to oxygen-bound urea within wild-type urease was carried out. Identical low energy urea conformations were obtained by a Ramachandran type plot for the NHis272-Ni1-O-Curea, and Ni1-O-Curea-Nurea dihedral angles. Ramachandran plots, with active sites and protonation states modified to model the different urease mechanisms, were used to evaluate the different mechanisms. Based upon the low energy conformations available to urea in the active site of wild-type urease one can conclude that the traditional "His320 acts as a base" mechanism is unlikely. while the N,O urea bridged and the reverse protonation mechanisms cannot be ruled out. A consensus hydrogen-bonding network that does not favor any of the mechanisms has been reconfirmed by the extensive conformational search.     

2'5'-linked polynucleotides do form a double-stranded helical structure: a result from the energy minimization study of A2'p5'A

Experimental results on 2′5′-linked subunit systems of nucleic acids are interpreted to substantiate the view that the 2′5′-linked polynucleotides cannot form double-stranded helical structures. In order to look into this aspect of the 2′5′-linked units, as well as to make a detailed comparison between the conformational characteristics of 3′5′- and 2′5′-linked systems, we carried out an exhaustive theoretical study on A2′p5′A. The method was to compute the various terms of energy contributions to a conformational state and then to minimize the total energy, permitting all the relevant dihedral angles to adjust themselves. Four hundred thirty two probable starting conformations were considered for this treatment, but we found only 10 of them to come under low-energy states, i.e., within 5 kcal/mol energy difference with reference to the global minimum energy state. The characteristic properties of these 10 conformations were compared in detail with those previously obtained on the corresponding 3′5′-linked subunit, as well as such units with other base sequences. As a further step, a model-building study was undertaken. Using the backbone-course, base-stacking, and hydrogen-bonding possibilities of the 10 low-energy conformations of the dimer A2′p5′A, double-stranded helical structures were scrutinized for the 2′5′-linked polynucleotide. Of a few reasonable forms, a right-handed duplex structure satisfied our requirements. We describe this new duplex, making comparisons with the standard A- and B-form states of DNA. The available experimental and theoretical results on 2′5′-linked systems are also analyzed.     

Biologically important conformational features of DNA as interpreted by quantum mechanics and molecular mechanics computations of its simple fragments

Deciphering the mechanism of functioning of DNA as the carrier of genetic information requires identifying inherent factors determining its structure and function. Following this path, our previous DFT studies attributed the origin of unique conformational characteristics of right-handed Watson-Crick duplexes (WCDs) to the conformational profile of deoxydinucleoside monophosphates (dDMPs) serving as the minimal repeating units of DNA strand. According to those findings, the directionality of the sugar-phosphate chain and the characteristic ranges of dihedral angles of energy minima combined with the geometric differences between purines and pyrimidines determine the dependence on base sequence of the three-dimensional (3D) structure of WCDs. This work extends our computational study to complementary deoxydinucleotide-monophosphates (cdDMPs) of non-standard conformation, including those of Z-family, Hoogsteen duplexes, parallel-stranded structures, and duplexes with mispaired bases. For most of these systems, except Z-conformation, computations closely reproduce experimental data within the tolerance of characteristic limits of dihedral parameters for each conformation family. Computation of cdDMPs with Z-conformation reveals that their experimental structures do not correspond to the internal energy minimum. This finding establishes the leading role of external factors in formation of the Z-conformation. Energy minima of cdDMPs of non-Watson-Crick duplexes demonstrate different sequence-dependence features than those known for WCDs. The obtained results provide evidence that the biologically important regularities of 3D structure distinguish WCDs from duplexes having non-Watson-Crick nucleotide pairing.     

Conformational characteristics of the RNA subunit ApA from energy minimization studies

In an attempt to better our understanding of the conformational stabilities in RNAs, an intensive theoraticl study has been carried out on one of its dimeric subunits, ApA, using an improved set of atom-atom interaction energy parameters and an improved version of energy-minimization technique. The C(3′)0endo and the C(2′)-endo sugar ApA units were sperately considered and 38 probable conformations have been analyzed in each case. The total potential energy, comprising nonbonded, electrostatic, and torsional contributions, was minimized by varying all seven relevant dihedral angles simumtaneously. The result reveal that 17 conformations in the case of C(3′)-endo sugar ApA and 7 confomations in the case of C(2′)-endo sugar ApA unit, the lowest energy conformation corresponds to a nonhelical structure and the A-RNA and the Watson-Crick-yype conformations lie at energy levels of about 0.5 and 1.0 Kcal/mo., respectively, above the lowest energy found. For ApA with the lops of different types in the backbone and they all differ in energies by about 3.5 Kcal/mol with refrence to the lowest energy founs. It is noted that the order ofmprefrence of the base stacking is observed in the A-RNA and the Watson-Crick type conformers. The ApA unit with C(2′)-endo sugar is forced to assume phosphodiester conformations with large deviations fom the expected staggered conformations compared to the ApA unit with C(3′)-endo sugar. The result obtained for ApA are discussed with refrence to those previously obtained for the dApdA unit. Te theoretical predictions are compared with the experimental data on the tRNA^Phe crystal, as well as those on fibrous RNAs and RNa subunitlike crystal structures. This study brings out many important aspects of the conformational stability of ApA which have been missed by studies made by others on this system.