A method for the determination of furanose ring coordinates in its pseudorotation circuit for different amplitudes of pucker

Interconversion between energetically favored molecular conformations must proceed through less favored intermediate states. Thus, a knowledge of the nucleotide furanose ring conformations, other than the crystallographically well-determined ones, are of interest in investigating nucleotide conformational energies and dynamics. The sugar ring flexibility affects the conformation and dynamics of the monomer and determines the range of feasible nucleic acid secondary and tertiary structures. We have generated furanose geometries for varying amplitudes of pucker over its entire range of pseudorotation by making use of a ring closure procedure and the empirical dependence of endocyclic bond lengths and bond angles on sugar pucker. Atomic coordinates are tabulated here for the furanose ring at pseudorotation phase angle intervals of 9 degrees for the average amplitude (tau m) of pucker of 39 degrees as well as for decreased (20 degrees and 30 degrees) and increased (44 degrees) values of tau m. However, the coordinates for any values of P and tau m can be readily calculated.     

Correlated Variations of Bond Lengths in Pseudorotating Furanose Rings

Abstract

Correlated variations of bond lengths in pseudorotating furanose rings are investigated by a theoretical method. At first, matrix equations are proposed to determine the spatial coordinates of the ring atoms from the bond lengths, the bond angles, and the pseudorotation parameters. Secondly, a necessary functional form of the variations of the bond lengths of five-membered rings is derived from a consideration of symmetry. Finally, demonstrations are performed on a furanose ring whose bond angle variations have been precisely determined by experimental analyses. The resulting bond length variations are:

δR_i = β_iCos(8/5π · (i-2)+2P)

where δR_i is the variation of the bond length between atoms i and i+1, P is the pseudorotation phase, and β_iis a negative constant about ?0.01 Å. These bond length variations are balanced on the apparent strains of the bond lengths and the bond angles.     

Conformational Studies of Nucleic Acids I. A Rapid and Direct Method for Generating Furanose Coordinates from the Pseudorotation Angle

Abstract

The greatest difficulty in modeling a nucleic acid is generating the coordinates of its furanoses. This difficulty arises from constraints imposed by the closed ring geometries of these sugars. We have developed a new method for modeling these furanose rings. Using this method, the coordinates of a sugar can be obtained quickly and unambiguously for any point on the pseudorotational pathway from one parameter: the phase angle of pseudorotation P. The significant difference between this and previous sugar modeling schemes is that here the endocyclic bond lengths of the five-membered sugar ring are allowed to vary a small amount according to simple, explicit, and experimentally reasonable analytic functions of P. The coefficients of these functions follow from the empirical behavior of the endocyclic bond angles and from geometrical constraints due to ring closure. The ability to model the sugars directly from one parameter greatly facilitates carrying out the global conformational studies on nucleic acid constituents which will be attempted in subsequent papers of this series.     

Stereochemistry of nucleic acids and their constituents. IV. Allowed and preferred conformations of nucleosides,nucleoside mono-, di-, tri-, tetraphosphates,nucleic acids and polynucleotides

A uniform notation and convention is suggested to describe the torsional angles in nucleic acids and their derivatives. The torsional angle χ, relating the stereochemistry of the base with respect to the sugar, shows more variation for the β-purine glycosides than for the β-pyrimidine glycosides. This variation is attributed to the fact that the β-purine derivatives may form intramolecular O(5′)-H…N(3) hydrogen bonding. The χ values for the α-purine and α-pyrimidine glycosides show preference for the –syn-clinal (or anti) conformation. The mode of puckering of the sugar also influences the χ value. The various possible conformations for the furanose ring are described by the torsional angles τ₀ τ₁, τ₂, τ₃, τ₄, about the five ring bonds. From an analysis of the torsional angles (ω, ?, ψ, ψ′, ?′, ω′) about the sugar phosphate bonds in the x-ray structures of the known nucleosides, nucleotides, phosphodiesters, nucleic acids, and related compounds, and from a consideration of molecular models, it is found that the possible conformations for the backbone of helical nucleic acids is strikingly limited. Most importantly, the preferred conformation of the nucleotide unit in poly nucleotides and nucleic acids turns out to be the same as that found for the nucleotide in the crystal structure. It is observed that base “stacking” is a consequence of the restricted backbone conformation. The torsional angles are illustrated in the form of conformational “wheels”. Interrelation between the torsion angles about successive pairs of sugar-phosphate bonds are presented in the form of conformational maps: ω,?; ?,ψ; ψ.ψ′; ψ′,?′; ?′,ω′; ω′,ω. The ω′,ω map shows the perferred conformations about the inter-nucleotide bonds of right- and left-handed helices and the possible conformations of phosphodiesters. The preferred conformation of the pyrophosphate and triphosphate is that in which the phosphate oxygens display a staggered arrangement when viewed along the P–P axis. A plausible structure and conformation for the ATPM^2? backbound complex is presented. This structure differs from that proposed by SzentGyorgi in that the metal (only transition metals are considered here) is not bound to the NH₂ nitrogen of adenine, but rather is simultaneously bound to N(7) of the ring and three phosphates (α, β, γ), or N(7) of the ring and two phosphates (β, γ). The remaining metal coordination may be satisfied by solvent–metal or enzyme–metal bonds.     

Stereochemical studies on nucleic acid analogues. I. Conformations of alpha-nucleosides and alpha-nucleotides: interconversion of sugar puckers via O4'-exo.

The preferred conformations of ribo and deoxyribo alpha-nucleosides and alpha-nucleotides, the stereoisomers of the naturally occurring beta-isomers, are worked out by minimizing the conformational energy as a function of all the major parameters including the sugar ring conformations along the pseudorotation path. The results of the studies bring out certain distinct conformational features that are at variance with their beta counterparts. The range of glycosyl conformations are found to be not only quite restricted here but favor predominantly the anti conformation. The syn glycosyl conformation for the entire region of P values are found to be energetically less favorable, with the barrier to anti in equilibrium with syn interconversion being higher especially in alpha-ribonucleosides. The energetically preferred range of pseudorotation phase angles (P) is also considerably restricted and P values corresponding to the C1'-exo range of sugars are highly unfavorable for alpha-nucleosides, in sharp contrast to the broad range of sugar ring conformations favored by beta-isomers. While both trans congruent to 180 degrees and skew congruent to 270 degrees conformations around the C3'-O3' (phi') bond are favored for alpha-3'-nucleotides with deoxyribose sugars, ribose sugars seem to favor only the skew values of phi'. Most interestingly and in sharp contrast to beta-stereoisomers, an energy barrier is encountered at P values corresponding to O4'-endo sugars. This suggests that the possible sugar pucker interconversion between C2'-endo/C3'-exo and C3'-endo/C2'-exo in alpha-anomers could take place only through the O4'-exo region. Likewise the possible path of anti in equilibrium with syn interconversion in alpha-nucleosides is not via high anti, in sharp contrast to beta-nucleosides. These observations should be borne in mind while assigning the sugar ring conformers in alpha-nucleosides and those containing them from nmr investigations. Comparison of the results with beta-anomers seem to suggest on the whole a lack of conformational variability or the restricted nature of alpha-stereoisomers. This could be one of the reasons for its nonselection in the naturally occurring nucleic acids.     

Evaluation of Biopolymer Conformations: Substituent Electronegativity in Nucleosides

Coupling constants J_ij for resonating vicinal protons i and j in NMR are studied theoretically and computationally. Electronegativity as a source of an additive correction for J_{1′, 2′} and J_{2′, 3′}, in two families of nucleosides is examined. Variations in J_{1′, 2′} + J_{3′, 4′} and J_{2′, 3′} are explained by conformational changes only. Variations in J_{1′, 2′} and J_{3′, 4′} are partially explained by a change of conformation, but mainly by variation in population caused by the 2′ substituents and by bee changes. Moreover, the changes of populations are quantifiable with respect to the substituent in 1′ or 2′. A computer program called SEARCH has been developed which optimizes the phase angle of pseudorotation P and the degree of pucker τ_m for a set of ring sugar coupling constants.     

Conformational studies of nucleic acids. I. A rapid and direct method for generating furanose coordinates from the pseudorotation angle

The greatest difficulty in modeling a nucleic acid is generating the coordinates of its furanoses. This difficulty arises from constraints imposed by the closed ring geometries of these sugars. We have developed a new method for modeling these furanose rings. Using this method, the coordinates of a sugar can be obtained quickly and unambiguously for any point on the pseudorotational pathway from one parameter: the phase angle of pseudorotation P. The significant difference between this and previous sugar modeling schemes is that here the endocyclic bond lengths of the five-membered sugar ring are allowed to vary a small amount according to simple, explicit, and experimentally reasonable analytic functions of P. The coefficients of these functions follow from the empirical behavior of the endocyclic bond angles and from geometrical constraints due to ring closure. The ability to model the sugars directly from one parameter greatly facilitates carrying out the global conformational studies on nucleic acid constituents which will be attempted in subsequent papers of this series.     

Correlated variations of bond lengths in pseudorotating furanose rings

Correlated variations of bond lengths in pseudorotating furanose rings are investigated by a theoretical method. At first, matrix equations are proposed to determine the spatial coordinates of the ring atoms from the bond lengths, the bond angles, and the pseudorotation parameters. Secondly, a necessary functional form of the variations of the bond lengths of five-membered rings is derived from a consideration of symmetry. Finally, demonstrations are performed on a furanose ring whose bond angle variations have been precisely determined by experimental analyses. The resulting bond length variations are: delta Ri = beta icos(8/5 pi.(i-2)+2P) where delta Ri is the variation of the bond length between atoms i and i+1, P is the pseudorotation phase, and beta i is a negative constant about -0.01 A. These bond length variations are balanced on the apparent strains of the bond lengths and the bond angles.     

The conformationally constrained N-methanocarba-dT analogue adopts an unexpected C4'-exo sugar pucker in the structure of a DNA hairpin

Incorporation of a bicyclo[3.1.0]hexane scaffold into the nucleoside sugar was devised to lock the embedded cyclopentane ring in conformations that mimic the furanose North and South sugar puckers. To analyze the effects of North-methanocarba-2'-deoxythymidine (N-MCdT) on the B-form DNA, we crystallized d(CGCGAA[mcTmcT]CGCG) with two N-MCdTs. Instead of a duplex, the 12mer forms a tetraloop hairpin, whereby loop N-MCdTs adopt the C4'-exo pucker (NE; P = 50°). Thus, the bicyclic framework does not limit the pucker to the anticipated C2'-exo range (NNW; P = -18°).     

Conformational analysis of the 2'-deoxyribofuranose ring from proton-proton coupling constants: analysis of a nucleoside-carcinogen adduct formed from 2-acetylaminofluorene utilizing a three-state model

The conformation of the sugar moiety of 8-(N-fluoren-2-ylamino)-2′-deoxyguanosine in solution has been examined as a function of temperature by ¹H-nmr spectroscopy. Analysis of coupling constants shows that lowering the temperature to ?50°C in methanol shifts the conformational equilibrium of the sugar ring resulting in a C2′-endo conformation at a mole fraction of 0.97. The computed phase angle of pseudorotation and amplitude of pucker are 154° and 36°, respectively, with very little discrepancy between the five calculated coupling constants and coupling constants extrapolated from the temperature profiles. A computer program has been written enabling a three-state best-fit analysis. The three-state analysis indicates an equilibrium between C2′-endo, C3′-endo, and 04′-endo conformations. In aqueous solution, the computed mole fraction of the 04′-endo form is 0.18 at 30°C. The conformation associated with the sugar ring and the C4′? C5′ bond is compared to that of 2′-deoxyguanosine.     

The X-ray Crystal and Molecular Structure of 5-Amino-1-(2,3:5,6-Di-O-isopropylidene-α-D-mannofuranosyl) Imidazole-4-carboxamide

Abstract

5-Amino-1-(2,3:5,6-di-O-isopropylidene-α-D-mannofuranosyl) imidazole-4-carboxamide (ADIMIC) crystallizes with six molecules in a hexagonal unit cell of space group P6_3.. The imidazole ring is closely planar, the furanose ring pucker is O1′ endo-C4′ exo, and the dioxolane rings are puckered C6′ endo-O6′ exo and C7′ endo-O3′ exo. In addition to an intramolecular hydrogen bond from the 5-amino hydrogen to the 4-carboxamide oxygen, a circuit of intermolecular hydrogen bonds links nearly coplanar imidazole rings.     

Anti-Syn Conformational Range of Pyrimidines with Deoxyribofuranose

Abstract

The ability of pyrimidine bases to adopt the syn conformation in DNA has been investigated. The distances between atoms on the sugar and base and the resulting steric energies have been calculated as a function of glycosidic torsion angle for the principal sugar puckers of the deoxyribose of cytosine. The results indicate that pyrimidines can assume both the anti and syn conformations for the ³E, ₄E, ₁E, ²E, ₃E sugar puckers and syn for the ₂E sugar pucker. For these sugar puckers the difference between the minimum energies of the anti and syn conformations is in the range of 0.1–2.0 kcal/mole, with the minimum syn energy being lower in the case of the ₄E, ₁E and ²E sugar puckers. It is particularly significant that cytosine can assume the syn conformation for the ³E sugar pucker commonly observed for the syn nucleotides in Z-DNA with both alternating pyrimidine/purine (APP) and non-APP sequences. The results of this investigation confirm that steric interactions resulting from putting a pyrimidine nucleotide in the syn conformation are not a major factor in the preference for APP base sequences in Z-DNA.     

Another method for specifying furanose ring puckering.

A set of pseudorotation coordinates is proposed for characterizing the puckering of the furanose ring. These are defined from the curvilinear displacements of the C1' and C4' atoms from the planar conformation. The present coordinates have some practical advantages over the ones currently used.     

Geometry of the five-membered ring mathematical demonstration of the pseudorotation formulae

The geometrical relations between the 15 typical parameters (bond lengths and angles, torsion angles) of a five-membered ring are derived for any ring then for a regular one. It is demonstrated that for the case of the 20 symmetrical C ₂ and C _sconformations, only geometrical considerations are needed to obtain the pseudorotation formulae for the torsion angles. However, the puckering intensity as well as the bond angle values cannot be expressed from geometrical constraints alone but would require energetical considerations.     

Conformations of cyclic 2,3-nucleotides and 2,3-Cyclic-5-diphosphates. Interrelation between the phase angle of pseudorotation of the sugar and the torsions about the glycosyl C(1)-N and the backbone C(4)-C(5) bonds

Semiempirical potential energy calculations have been carried out for cyclic 2′,3′-nucleotides and their 5′-phosphorylated derivatives, which are the intermediates in the hydrolysis of RNA. Calculations have been performed for both purine and pyrimidine bases for the observed O(1′)-endo, O(1′)-exo and the unpuckered planar sugar ring conformations. It is found that the mode of sugar pucker largely determines the preferred conformations of these molecules. For cyclic 2′,3′-nucleotides themselves, the O(1′)-endo sugars show a preference for the syn glycosyl conformation while the O(1′)-exo sugars exclusively favor the anti conformation regardless of whether the base is a purine or pyrimidine. For the unpuckered planar sugar, the syn conformation is favored for purines and anti for pyrimidines. Both the gauche (+) (60°) and trans (180°) conformations about the C(4′)? C(5′) bond are favored for O(1′)-endo sugars, while the gauche (?) (300°) and trans (180°) are favored for O(1′)-exo sugars. On the contrary, the 5′-phosphorylated cyclic 2′,3′-nucleotides of both purines and pyrimidines show a preference for the anti-gauche (+) conformational combination about the glycosyl and C(4′)? C(5′) bonds for the O(1′)-endo sugars and the anti-trans combination for the O(1′)-exo sugars. The correlation between the phase angle of the sugar ring and the favored torsions about the glycosyl and the backbone C(4′)? C(5′) bonds as one traverses along the pseudorotational pathway of the sugar ring is examined.     

Crystal Structure and Conformation of 5‐Fluorouridine: Conformational Preferences for 5‐Fluorinated Pyranosides

Crystals of 5‐fluorouridine (5FUrd) have unit cell dimensions a = 7.716(1), b = 5.861(2), c = 13.041(1)Å, α = γ = 90°, β = 96.70° (1), space group P2₁, Z = 2, ρ_obs = 1.56 gm/c.c and ρ_calc = 1574 gm/c.c The crystal structure was determined with diffractometric data and refined to a final reliability index of 0.042 for the observed 2205 reflections (I ≥ 3σ). The nucleoside has the anti conformation [χ = 53.1(4)°] with the furanose ring in the favorite C2′–endo conformation. The conformation across the sugar exocyclic bond is g⁺, with values of 49.1(4) and ? 69.3(4)° for Φ_θc and Φ_∞ respectively. The pseudorotational amplitude τ_m is 34.5 (2) with a phase angle of 171.6(4)°. The crystal structure is stabilized by a network of N–H…O and O–H…O involving the N3 of the uracil base and the sugar O3′ and O2′ as donors and the O2 and O4 of the uracil base and O3′ oxygen as acceptors respectively. Fluorine is neither involved in the hydrogen bonding nor in the stacking interactions. Our studies of several 5‐fluorinated nucleosides show the following preferred conformational features: 1) the most favored anti conformation for the nucleoside [χ varies from ? 20 to + 60°] 2) an inverse correlation between the glycosyl bond distance and the χ angle 3) a wide variation of conformations of the sugar ranging froni C2′–endo through C3′–endo to C4′–exo 4) the preferred g⁺ across the exocyclic C4′–C5′ bond and 5) no role for the fluorine atom in the hydrogen bonding or base stacking interactions.     

Crystal Structure and Molecular Conformation of 4-Thiouracil-2′-Trifluorothioacetamide -3′, 5′-Diacetyl-β-D-Riboside

Abstract

4-thiouracil-2′-trifluorothioacetamide-3′, 5′-diacetyl-β-D-riboside is one of the modified thiouracil analogs synthesized in our institute. The determination of the crystal and molecular structure of this compound was carried out with a view to study the conformation of the molecule in the solid state as well as to investigate the conformations of the trifluoroacetamide and the acetyl substituents of the ribose and their effects on the conformation of the ribose ring. Crystals of 4-thiouracil-2′-trifluorothioacetamide-3′,5′- diacetyl-β-D-riboside are orthorhombic, space group P2₁ 2₁ 2₁, with cell dimensions a= 15.351 (2), b= 15.535 (1), c= 8.307 (1) Å, V=1981.0 (7) ų, Z=4, D_m= 1.53, D_c=1.527 g/c.c. and μ=30.1cm -¹. The structure was determined using CuKα (λ, =1.5418 Å) at a temperature T of 297K, with 2333 reflections, which were collected on a Enraf-Nonius CAD-4 diffactometer, out of which 2249 (I ≥20) were considered observed. The structure was determined by direct methods using MULTAN and refined by full matrix least squares method to a final reliability factor of 0.054 and a weighted R factor of 0.079. The nucleoside is in the anti conformation [X_CN =51.4 (5)°], the ribose has the unusual C (2′) endo -C (1′) exo (²T₁), and a g+ conformation [ψ=47.5 (4)] across C(4′)-C(5′) bond. The pseudorotation angle P is 152.8 (4) ° and the amplitude of pucker τ_m of 42.7 (3)°. The average C-F bond distance is 1.308 Å. There is no base pairing and the typical base-base hydrogen bonded interactions are not present in this structure. On the other hand, a hydrogen bonded dimer is formed involving C(3′) - H(3′)… O (2) and N(3) -H (N3) … O (Al) hydrogen bonds joining the base, ribose ring and the acetyl group. The trend towards longer exocyclic bonds at the acetyl centers in compounds with strongly electronegative aglycones, is also exhibited in this compound, with C(3′)-O(3′) and C(5′)-0(5′) being much longer than C(1′)-O(4′). The acetyl groups also take part in C-H…O hydrogen bonding with the acetyl oxygen atom OA2.     

Crystal Structure of Sodium Deoxyinosine Monophosphate

Abstract

The crystal and molecular structure of sodium deoxyinosine monophosphate (5′-dIMP) has been determined by x-ray crystallographic methods. The crystals belong to orthorhombic space group P2₁2₁2₁, with a = 21.079(5) Å, b = 9.206(3) Å and c = 12.770(6) Å. This deoxynucleotide shows common nucleotide features namely anti conformation about the glycosyl bond, C2′ endo pucker for the deoxyribose sugar and gauche-gauche orientation for the phosphate group. The sodium ion is directly coordinated to the O3′ atom, a feature observed in many crystal structures of sodium salts of nucleotides.     

Cytldlne Cyclic (3′, 5′) Monophosphate: Cyclic Nucleotide With a Non-Characteristic Ribose Ring Conformation

Abstract

Cytidine 3′,-5′-cyclic phosphate (cCMP) occurs in nature and has growth stimulatory activity on L-1210 cells. The initiation of cell growth by cCMP, under conditions where CAMP, cGMP and cUMP delay the onset of proliferation suggests that cCMP may play a regulatory role in the cell metabolism. It has been reported that in 3′,5′-cyclic nucleotides, the phosphate ring fused to the furanose ring resuicts the conformation of the furanose ring to the twist form C(3′) endo C(4′) exo (³T₄), in contrast to the C(2′) endo C(3′) endo (²T₃) and C(3′) endo C(2′) exo (³T₂) twist forms normally found in nucleotides and nucleosides. We have carried out an accurate crystal structure of cCMP and found that the furanose ring in cCMP has the C(3′) endo C(2′) exo conformation (³T₂), with a pseudo rotation amplitude (P) of 44° and phase angle τ_m of 12°. cCMP is in low anti conformation (X_CN = 15.4°) and O(5′) has the fixed g conformation. The phosphate ring is constrained to the chair conformation, as in other cyclic nucleotides. The two exocyclic P-O bond distances are short (1.489, 1.476Å) and the ring angle at N(3) is large (125.2°) suggesting that the molecule in the solid state is a zwitterion with a plus charge on N(3). The crystals are hydrated and highly unstable. The three water molecules are highly disordered in ten locations. The crystals of cCMP 3H₂O are hexagonal, a = 16.294(3), b = c = 11.099(4)Å, space group P6₁, final R value is 0.067 for 1620 reflections 230.     

The crystal and molecular structure of 2'-deoxy-2'-fluoroinosine monohydrate.

The structure of the hydrate of 2'-deoxy-2'-fluoroinosine has been determined by single-crystal x-ray diffraction. The nucleoside crystallizes in space group P2(1)2(1)2(1) with unit cell dimensions, a = 33.291, b = 10. 871, c = 6.897A. There are two nucleosides and two water molecules in the asymmetric unit. The structure was solved by direct methods and refined to a residual R = 0.095. The two independent nucleosides in the asymmetric unit show different conformations about the glycosidic bond, while other structural details are similar. The base orientation to the sugar is syn in molecule A, whereas anti in molecule B. The exocyclic C(4')-C(5') bond conformation defined with respect to C(3')-C(4')-C(5')-O(5') is gauche+ in both molecules A and B. The sugar ring pucker defined by the pseudorotation phase angle P is a twisted conformation in both, C(3')-endo-C(4')-exo with P = 29 degrees in molecule A and C(4')-exo-C(3')-endo with P = 41 degrees in molecule B. It is shown by comparison with x-ray results of other 2'-fluoronucleosides and unmodified nucleosides including inosines that, in addition to a strong preference of the C(3')-endo type pucker, twisted conformations involving C(4')-exo puckering may be one of characteristic features of 2'-fluoronucleosides.