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D G Gorenstein

Publications and source records attributed to D G Gorenstein.

At least 37 records · Page 2Linked to original sources

NMR solution structure of a nonanucleotide duplex with a dG mismatch opposite a 10S adduct derived from trans addition of a deoxyadenosine N6-amino group to (+)-(7R,8S,9S,10R)-7,8-dihydroxy-9,10-epoxy-7,8,9,10- tetrahydrobenzo[a]pyrene: an unusual syn glycosidic torsion angle at the modified dA.

A nonanucleotide, d(G1G2T3C4[BaP]A5C6G7A8G9), in which (+)-(7R,8S,9S,10R)-7,8-dihydroxy-9,10-epoxy-7,8,9,10- tetrahydrobenzo[a]pyrene (7-hydroxyl group and epoxide oxygen are trans) is covalently bonded to the exocyclic N6-amino group of deoxyadenosine (dA5) through trans addition at C10 of the epoxide (to give a 10S adduct) has been synthesized. The solution structure of the duplex, d(G1G2T3C4[BaP]A5C6G7A8G9).d(C10T11C12G13G14G15A16C17C18+ ++), containing a dG mismatch opposite the modified dA (designated 10S-[BaP]dA.dG 9-mer duplex) has been investigated using a combination of 1D and 2D (including COSY, PECOSY, TOCSY, NOESY, and indirect detection of 1H-31P HETCOR) NMR spectroscopies. The NMR results together with restrained molecular dynamics/energy minimization calculations show that the modified dA5 adopts a syn glycosidic torsion angle whereas all other nucleotide residues adopt anti glycosidic torsion angles. The sugar ring of dA5 is in the C3'-endo conformation, and the sugar rings of the other residues are in the C2'-endo conformation. The hydrocarbon attached at dA5 orients toward the 3' end of the modified strand (i.e., dC6 direction) and intercalates between and parallel to bases of dG13 and dG14 of the complementary strand directly opposite dC6 and dA5, respectively. The edge of the hydrocarbon bearing H11 and H12 is positioned between the imino protons of dG13 and dG14 in the interior of the duplex, whereas H4 and H5 at the opposite edge are positioned near the sugar H1' and H2" protons of dG13 and facing the exterior of the duplex. The mismatched AG base pair is stabilized by dAsyn-dGanti base pairing in which the imino proton and the O6 of dG14 are hydrogen bonded to N7- and the single N6-amino proton, respectively, of the modified dA5. The modified DNA duplex remains in a right-handed helix, which bends at the site of intercalation about 20 to 30 degrees away from the helical axis and toward the direction of the modified strand.

7,8-Dihydro-7,8-dihydroxybenzo(a)pyrene 9,10-oxide↗

Nuclear magnetic resonance solution structure of an undecanucleotide duplex with a complementary thymidine base opposite a 10R adduct derived from trans addition of a deoxyadenosine N6-amino group to (-)-(7R,8S,9R,10S)-7,8-dihydroxy- 9,10-epoxy-7,8,9,10-tetrahydrobenzo[a]pyrene.

The solution structure of a modified undecamer duplex containing (-)-(7R,8S,9R,10S)-7,8-dihydroxy-9,10-epoxy-7,8,9,10-tetrahydrobenzo[a] pyrene covalently bonded through trans ring opening at C10 of the epoxide by the N6-amino group of deoxyadenosine (dA) was studied. This diol epoxide 1 diastereomer has the benzylic 7-hydroxyl group and the epoxide oxygen cis. The modified nucleotide residue has R chirality at C10 of the hydrocarbon (10R adduct). The undecamer duplex d(C1G2G3T4C5A*6C7G8A9G10G11).d(C12C13T14C15G16T17G18A19C2 0C21G22) has a complementary T opposite the modified dA (dA*6 is the modified dA). Exchangeable and nonexchangeable proton assignments were made using 2D TOCSY, NOESY, and water/NOESY NMR spectroscopy. The hybrid complete relaxation matrix program MORASS was used to generate NOESY distance constraints for iterative refinement using distance-restrained molecular dynamics calculations. The refined structure showed the hydrocarbon intercalated from the major groove between dA*6-T17 and dC5-dG18 base pairs. The modified dA*6 was in the normal anti configuration and showed Watson-Crick base pairing to T17 opposite. The chemical shifts of the hydrocarbon protons and the unusual shifts of sugar protons were accounted for by the intercalated orientation of the hydrocarbon.

Base Composition↗

Delivery of antisense oligodeoxyribonucleotides against the human epidermal growth factor receptor into cultured KB cells with liposomes conjugated to folate via polyethylene glycol.

Antisense oligodeoxyribonucleotides targeted to the epidermal growth factor (EGF) receptor were encapsulated into liposomes linked to folate via a polyethylene glycol spacer (folate-PEG-liposomes) and efficiently delivered into cultured KB cells via folate receptor-mediated endocytosis. The oligonucleotides were a phosphodiester 15-mer antisense to the EGF receptor (EGFR) gene stop codon (AEGFR2), the same sequence with three phosphorothioate linkages at each terminus (AEGFR2S), a randomized 15-mer control of similar base composition to AEGFR2 (RC15), a 14-mer control derived from a symmetrized Escherichia coli lac operator (LACM), and the 5'-fluorescein-labeled homologs of several of the above. Cellular uptake of AEGFR2 encapsulated in folate-PEG-liposomes was nine times higher than AEGFR2 encapsulated in nontargeted liposomes and 16 times higher than unencapsulated AEGFR2. Treatment of KB cells with AEGFR2 in folate-PEG-liposomes resulted in growth inhibition and significant morphological changes. Curiously, AEGFR2 and AEGFR2S encapsulated in folate-PEG-liposomes exhibited virtually identical growth inhibitory effects, reducing KB cell proliferation by > 90% 48 hr after the cells were treated for 4 hr with 3 microM oligonucleotide. Free AEGFR2 caused almost no growth inhibition, whereas free AEGFR2S was only one-fifth as potent as the folate-PEG-liposome-encapsulated oligonucleotide. Growth inhibition of the oligonucleotide-treated cells was probably due to reduced EGFR expression because indirect immunofluorescence staining of the cells with a monoclonal antibody against the EGFR showed an almost quantitative reduction of the EGFR in cells treated with folate-PEG-liposome-entrapped AEGFR2. These results suggest that antisense oligonucleotide encapsulation in folate-PEG-liposomes promise efficient and tumor-specific delivery and that phosphorothioate oligonucleotides appear to offer no major advantage over native phosphodiester DNA when delivered by this route.

Base Sequence↗

NMR solution structure of a nonanucleotide duplex with a dG mismatch opposite a 10R adduct derived from trans addition of a deoxyadenosine N6-amino group to (-)-(7S,8R,9R,10S)-7,8-dihydroxy-9,10-epoxy-7,8,9,10- tetrahydrobenzo[a]pyrene.

A nonanucleotide in which (-)-(7S,8R,9R,10S)-7,8-dihydroxy-9,10-epoxy- 7,8,9,10-tetrahydrobenzo[a]pyrene (7-hydroxy group and epoxide oxygen are trans) is covalently bonded to the exocyclic N6-amino group of deoxyadenosine through trans addition at C10 of the epoxide (10R adduct) has been synthesized. The modified oligonucleotide d(GGTCA*CGAG) was incorporated into the duplex d(GGTCA*CGAG).d(CTCGGGACC), containing a dG mismatch opposite the modified base (dA*). Proton assignments for the solution structure of the duplex containing the 10R adduct were made using 2D TOCSY and NOESY NMR spectra. The complete hybrid relaxation matrix program, MORASS2.0, was used to generate NOESY distance constraints for iterative refinement using distance-restrained molecular dynamics calculations with AMBER4.0. The iteratively refined structure showed the hydrocarbon intercalated from the major groove immediately below the dC4-dG15 base pair and oriented toward the 5'-end of the modified strand. The modified dA is in an anti configuration, with the dG of the GA mismatch turned out into the major groove. Chemical shifts of the hydrocarbon protons and unusual chemical shifts of sugar protons were accounted for by this orientation of the adduct. The information available currently provides the foundation for the rational explanation of observed benzo[a]pyrene (BaP) structures and predictions for other BaP dG and dA adducts.

Base Sequence↗

Exact vs approximate methods for simulation of 3D NOE-NOE spectra.

An exact full matrix analysis of 2D NOESY spectroscopy has been extended to 3D homonuclear NOE-NOE spectroscopy and applied to the simulation of NOE-NOE spectra of the Dickerson dodecamer d(CGCGAATTCGCG)2 and a tandem GA mismatched decamer deoxynucleotide duplex d(CCAAGATTGG)2. The exact method has been compared with the approximation method based on Taylor expansions. It has been found that the approximations using one or two terms in the Taylor expansion series are generally inadequate for simulations of 3D NOE-NOE volumes and fail at very short mixing times, depending on the motional properties of the biomolecule in question. Specifically, the first-order approximation fails at tau c tau m > or = 1.8 x 10(-10) s2 for both the dodecamer and the decamer if an RMS error in the volumes of < 50% is desired.

Adenine↗

A hybrid-hybrid matrix method for 3D NOE-NOE data analysis.

A hybrid-hybrid matrix method is described that quantitatively analyzes 3D NOE-NOE NMR data. Experimental 3D data are merged with simulated 3D data to create a hybrid 3D NOE-NOE spectrum. This is then deconvoluted into a 2D hybrid NOESY spectrum. The deconvoluted, 2D hybrid NOESY spectrum can then be merged with other 2D NOESY experimental data along with additional simulated 2D data as necessary to create a hybrid-hybrid 2D NOE volume matrix. This hybrid-hybrid volume matrix is then used with the complete relaxation program, MORASS, to calculate a rate matrix, and the resulting distances taken from the off-diagonal cross-relaxation rates can then be utilized in a distance geometry or restrained molecular-dynamics refinement of the structure. This process is repeated until a satisfactory agreement between the calculated and observed 3D volumes is obtained. This hybrid-hybrid matrix method retains computational efficiency and utilizes the resolution of the 3D data set while retaining any information content of the available 2D data. The initial tests of the deconvolution algorithm give high correlation results even with the introduction of random error into the 3D data set. Our results suggest that the hybrid-hybrid matrix method for analysis of 3D NOE-NOE spectra may provide a viable tool in the refinement of large molecules.

Algorithms↗

Helical stacking in DNA three-way junctions containing two unpaired pyrimidines: proton NMR studies.

The proton NMR spectra of DNA three-way junction complexes (TWJ) having unpaired pyrimidines, 5'-TT- and 5'-TC- on one strand at the junction site were assigned from 2D NOESY spectra acquired in H2O and D2O solvents and homonuclear 3D NOESY-TOCSY and 3D NOESY-NOESY in D2O solvent. TWJ are the simplest branched structures found in biologically active nucleic acids. Unpaired nucleotides are common features of such structures and have been shown to stabilize junction formation. The NMR data confirm that the component oligonucleotides assemble to form conformationally homogeneous TWJ complexes having three double-helical, B-form arms. Two of the helical arms stack upon each other. The unpaired pyrimidine bases lie in the minor groove of one of the helices and are partly exposed to solvent. The coaxial stacking arrangement deduced is different from that determined by Rosen and Patel (Rosen, M.A., and D.J. Patel. 1993. Biochemistry. 32:6576-6587) for a DNA three-way junction having two unpaired cytosines, but identical to that suggested by Welch et al. (Welch, J. B., D. R. Duckett, D. M. J. Lilley. 1993. Nucleic Acids Res. 21:4548-4555) on the basis of gel electrophoretic studies of DNA three-way junctions containing unpaired adenosines and thymidines.

Base Sequence↗

Structure of the signal sequences for two mitochondrial matrix proteins that are not proteolytically processed upon import.

The N-terminal sequences of rhodanese and 3-oxoacyl-CoA thiolase, two mitochondrial matrix proteins that are not proteolytically processed upon import, have been studied by NMR and CD spectroscopy. In aqueous trifluoroethanol, in the presence of micelles, and in the presence of small unilamellar vesicles (SUVs), these peptides form alpha-helical structures beginning near the N-terminus and extending, continuously, for at least three helical turns. This result is consistent with a previous finding that a mutant rat liver mitochondrial aldehyde dehydrogenase signal sequence we designed, which formed a continuous alpha-helix, could successfully direct protein import but was not proteolytically processed (Thornton, K., Wang, Y., Weiner, H., & Gorenstein, D. G. (1993) J. Biol. Chem. 268, 19906-19914). From these three examples, a model is developed which suggests that a mitochondrial signal sequence that has an N-terminal alpha-helix longer than 11 residues can take on the necessary conformation to be imported but cannot adopt the necessary conformation to be processed.

Acetyl-CoA C-Acetyltransferase↗

Structure of glucagon-like peptide (7-36) amide in a dodecylphosphocholine micelle as determined by 2D NMR.

We have used 2D 1H NMR to determine the structure of glucagon-like peptide-1-(7-36) amide bound to a dodecylphosphocholine micelle. In this membranelike environment, the peptide hormone is shown to have a structure similar to that observed for glucagon. It consists of an N-terminal random coil segment (residues 1-7), two helical segments (7-14 and 18-29), and a linker region (15-17). The C-terminal helix is more stable than the N-helix as determined by amide proton exchange experiments. The C-terminal helix shows much larger alpha and amide proton upfield secondary shifts relative expected for a random coil conformation. This suggests a highly helical structure in this portion of the molecule. The C-terminal helix also has a much larger fraction of residues that are hydrophobic, presumably enhancing the interaction of this portion of the peptide with the micelle (or membrane). The structure refined from the NOESY data is not a uniform alpha-helix throughout residues 6-30. A uniform helix would not be perfectly amphiphilic since the hydrophobic face of the N-terminal portion of the helix is positioned in nearly perfect opposition to the hydrophobic face of the C-terminal portion. However, helical distortion around residues 15-17 allows a phase shift of the two helical segments to position nearly all of the hydrophobic residues (and none of the hydrophilic ones) on a single face of the distorted single helix as would be required to favorably interact with the hydrophobic portion of the micelle or membrane.

Amides↗

Import, processing, and two-dimensional NMR structure of a linker-deleted signal peptide of rat liver mitochondrial aldehyde dehydrogenase.

Previous NMR studies (Karslake, C., Piotto, M. E., Pak, Y. M., Weiner, H., and Gorenstein, D. G. (1990) Biochemistry 29, 9872-9878) had shown that a 22-amino acid signal peptide of rat liver aldehyde dehydrogenase (ALDH) when bound to a micelle had two amphiphilic alpha-helices, one located at the N terminus and the other at the C terminus. It was shown that deletion of either helix caused the precursor protein not to be imported (Wang, Y., and Weiner, H., (1993) J. Biol. Chem. 268, 4759-4765). The two helices are separated by a Arg-Gly-Pro flexible "linker" region, and to test the role of this linker region in the import and processing of the precursor protein, we deleted it from the ALDH signal peptide and precursor protein. The 19-amino acid signal peptide of ALDH, to which has been added 3 residues at the C terminus and from which has been deleted the 3-residue flexible linker region, has been studied by two-dimensional NMR in a dodecylphosphocholine micelle. In this membrane-like environment the peptide contains a single alpha-helical segment that extends almost the entire length of the peptide. NH exchange experiments show residues on the hydrophobic face of the peptide to exchange much more slowly than those of the hydrophilic face. Combined with the previous study, these results suggest that precursor protein import simply requires a sufficiently long amphiphilic helix (or helices) to bind stably to the membrane. The N and C helices of native ALDH are only about 6-8 residues long; this represents only about two turns of a helix, and either helix on its own does not provide enough stabilization to ensure folding and binding to the membrane. The linker-deleted ALDH peptide contains a single helix of 12-14 residues that is long enough to provide a hydrophobic surface that can stably interact with the hydrophobic interior of the membrane. The function of the C helix in the native signal peptide is therefore to enhance the stability and binding of the N-terminal signal to the membrane. Significantly, unlike native ALDH precursor protein, the linker-deleted signal peptide precursor protein could no longer be processed after import into mitochondria. As explained by modeling of the alpha-helix and the NH exchange rate data, the precursor protein requires that the first several residues of the mature protein be part of the hydrophobic membrane associated face of the helix.(ABSTRACT TRUNCATED AT 400 WORDS)

Aldehyde Dehydrogenase↗

31P nuclear magnetic resonance spectra and dissociation constants of lac repressor headpiece.duplex operator complexes: the importance of phosphate backbone flexibility in protein.DNA recognition.

An alkaline phosphatase assay was used to determine the dissociation constants (KD) of the lac repressor N-terminal 56 amino acid fragment of the wild type and of a Y7I mutant complexed to 22 base pair (bp) wild-type and mutant symmetrical operator sequences. KD's in 0.35 M monovalent salt ranged from 5.4 X 10(-8) M for the wild-type repressor.wild-type operator complex to approximately > 1 X 10(-6) M for the wild-type repressor.nonspecific DNA complex. Mutant operators O2 (G5 --> A5 and G16 --> T16) and O4 (G5 --> C5 and C16 --> G16) bind nearly as tightly as the wild-type headpiece, while mutant O3 (A8 --> T8 and T13 --> A13) binds over 5-fold poorer. Operators O1, O2, and O4 bind ca. 10-fold poorer to the Y7I mutant headpiece. Operator O3 binds 2-fold poorer to the mutant headpiece. The temperature and salt dependence on the dissociation constants of wild-type headpiece binding to 22-bp operator support the conclusion that the headpiece contains the major DNA recognition portion of the protein and that electrostatics plays as important a role in the binding of operator to headpiece as it does in the whole repressor. The 31P NMR spectra of shortened 14-bp wild-type and mutant symmetrical operators bound to the N-terminal 56-residue headpiece of the Y7I mutant repressor were compared to the spectra of the same operator bound to the wild-type repressor headpiece. These results are consistent with a recent proposal [Karslake, C., Botuyan, M. V., & Gorenstein, D. G. (1992) Biochemistry 31, 1849-1858] that specific, tight-binding operator.protein complexes retain the inherent phosphate ester conformational flexibility of the operator itself, whereas the phosphate esters are conformationally restricted in the weak-binding operator-protein complexes. This retention of backbone torsional freedom in tight complexes is entropically favorable and provides a mechanism for protein discrimination of different operator binding sites.

Alkaline Phosphatase↗

Fast and sensitive laser-based enzymatic detection of the lactose operon in microorganisms.

This work investigates the ability of laser-based, time-resolved fluorometry to detect the lactose operon genetic marker in microorganisms and to study protein-DNA interactions. In the first study, rapid detection of the Escherichia coli lacZY operon inserted in two strains of Pseudomonas proposed as fungal biological control organisms was achieved. Optimization of incubation time, immobilization apparatus size, and reagent volumes, along with the laser-based instrumentation, yielded an assay capable of detecting 10(4) immobilized lac+ Pseudomonas fluorescens cells within a 30-min incubation time. In the second study, the synthesis of E. coli beta-galactosidase was monitored in "real-time" with observable enzymatic activity beginning 4 to 5 min after induction with isopropylthiogalactoside.

DNA Transposable Elements↗

Bacterial expression and characterization of the CREB bZip module: circular dichroism and 2D 1H-NMR studies.

In this paper we describe the expression and purification from bacteria of the recombinant basic leucine zipper (bZip) domain of the cAMP response element binding protein, CREB327. The bZip peptide, CREB259-327, purified to near homogeneity, maintains the sequence-specific CRE site recognition demonstrated by in vitro competition assays. Alkylation of the three cysteine residues of CREB259-327 was employed to prevent aggregation of the peptide due to cysteine oxidation. The Kd of the purified native and modified CREB259-327 for the CRE site was determined by gel retardation assays to be on the order of 10(-7) M. We employed CD spectroscopy to study the folding properties of the native and modified CREB259-327. The CD analyses of the native/modified CREB259-327 peptide demonstrated a 20% increase in the alpha-helical content upon binding to the cAMP response-element. Only a 5% increase in the alpha-helical content of CREB259-327 is observed upon binding to the AP-1 site. This observation contrasts with CREB from the GCN4 protein (Weiss, M.A., et al., 1990, Nature 347, 575-578). In addition, the two-dimensional (2D) 1H-NMR studies of the bZip CREB peptide further support the distinct features of the CREB protein, in comparison to GCN4. Analysis by CD and 2D NMR of the dimerization domain of CREB suggests that the distinct DNA binding characteristics of CREB reside in the basic portion of the bZip module.

Amino Acid Sequence↗

2D 1H and 31P NMR spectra and distorted A-DNA-like duplex structure of a phosphorodithioate oligonucleotide.

Assignment of the 1H and 31P NMR spectra of a phosphorodithioate modified oligonucleotide decamer duplex, d(CGCTTpS2-AAGCG)2 (10-mer-S; a site of dithioate substitution is designated with the symbols pS2-), was achieved by two-dimensional homonuclear TOCSY, NOESY and 1H-31P Pure Absorption phase Constant time (PAC) heteronuclear correlation spectroscopy. In contrast to the parent palindromic decamer sequence (1) which has been shown to exist entirely in the duplex B-DNA conformation under comparable conditions (100 mM KCl), the dithiophosphate analogue forms a hairpin loop. However, the duplex form of the dithioate oligonucleotide can be stabilized at lower temperatures, higher salt and strand concentration. The solution structure of the decamer duplex was calculated by an iterative hybrid relaxation matrix method (MORASS) combined with 2D NOESY-distance restrained molecular dynamics. These backbone modified compounds, potentially attractive antisense oligonucleotide agents, are often assumed to possess similar structure as the parent nucleic acid complex. Importantly, the refined structure of the phosphorodithioate duplex shows a significant deviation from the parent unmodified, phosphoryl duplex. An overall bend and unwinding in the phosphorodithioate duplex is observed. The structural distortion of the phosphorodithioate duplex was confirmed by comparison of helicoidal parameters and groove dimensions. Especially, the helical twists of the phosphorodithioate decamer deviate significantly from the parent phosphoryl decamer. The minor groove width of phosphorodithioate duplex 10-mer-S varies between 8.4 and 13.3 A which is much wider than those of the parent phosphoryl decamer d(CGCTTAAGCG)2 (4.2 approximately 9.4 A). The larger minor groove width of 10-mer-S duplex contributes to the unwinding of the backbone and indicates that the duplex has an overall A-DNA-like conformation in the region surrounding the dithiophosphate modification.

Base Sequence↗

A model for the solution structure of a branched, three-strand DNA complex.

The solution structure of a DNA three-way junction (TWJ) containing two unpaired thymidines was elucidated using two- and three-dimensional 1H nuclear magnetic resonance (NMR) spectroscopy. TWJs with unpaired nucleotides are ubiquitous structural motifs of complex single-stranded nucleic acids. In the presence of Mg2+, the TWJ complex adopts a unique conformation in which the bases of one of the oligonucleotides ("strand 1") are continuously stacked across the junction. Guanosine 8 of strand 3 (S3-G8), which pairs with S1-C5, stacks on S2-G5, which is paired to S1-C6. The unpaired thymidine bases (S3-T6 and S3-T7) are exposed to the solvent, whereas the sugar of S3-G8 is largely buried. S3-T6 also interacts with the sugar residue of S3-G11. All three stems conform to B-type DNA.

Base Composition↗

31P NMR spectra of oligodeoxyribonucleotide duplex lac operator-repressor headpiece complexes: importance of phosphate ester backbone flexibility in protein-DNA recognition.

The 31P NMR spectra of various 14-base-pair lac operators bound to both wild-type and mutant lac repressor headpiece proteins were analyzed to provide information on the backbone conformation in the complexes. The 31P NMR spectrum of a wild-type symmetrical operator, d(TGTGAGCGCTCACA)2, bound to the N-terminal 56-residue headpiece fragment of a Y7I mutant repressor was nearly identical to the spectrum of the same operator bound to the wild-type repressor headpiece. In contrast, the 31P NMR spectrum of the mutant operator, d(TATAGAGCGCTCATA)2, wild-type headpiece complex was significantly perturbed relative to the wild-type repressor-operator complex. The 31P chemical shifts of the phosphates of a second mutant operator, d(TGTGTGCGCACACA)2, showed small but specific changes upon complexation with either the wild-type or mutant headpiece. The 31P chemical shifts of the phosphates of a third mutant operator, d(TCTGAGCGCTCAGA)2, showed no perturbations upon addition of the wild-type headpiece. The 31P NMR results provide further evidence for predominant recognition of the 5'-strand of the 5'-TGTGA/3'-ACACT binding site in a 2:1 protein to headpiece complex. It is proposed that specific, strong-binding operator-protein complexes retain the inherent phosphate ester conformational flexibility of the operator itself, whereas the phosphate esters are conformationally restricted in the weak-binding operator-protein complexes. This retention of backbone torsional freedom in strong complexes is entropically favorable and provides a new (and speculative) mechanism for protein discrimination of different operator binding sites. It demonstrates the potential importance of phosphate geometry and flexibility on protein recognition and binding.

Base Sequence↗