Kinetics of association of anti-lysozyme monoclonal antibody D44.1 and hen-egg lysozyme

Association rate constants for antigen/antibody associations have been computed by Brownian Dynamics simulations of D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69:1352-1360, 1978. The model of monoclonal antibody (mAb) D44.1 is based on crystallographic data (B. C. Braden et al., J. Mol. Biol. 243:767-781, 1994). Electrostatic forces that steer the antigen to the antibody-combining site are computed by solving the linearized Poisson-Boltzmann equation. D44. 1-HEL complex displays very similar association motifs to a related anti-lysozyme antibody, HyHEL-5-HEL system. The computed association rate constants are comparable in the two systems, although the experimental affinity constants differ by three orders of magnitude (D. Tello et al., Biochem. Soc. Trans. 21:943-946, 1993; K. A. Hibbits et al., Biochemistry. 33:3584-3590, 1994). Simulations suggest that the origin of the differences in the affinity come from dissociation rate constants. We have also carried out simulation experiments on a number of mutant antibody fragment-HEL associations to address the role of electrostatics and, to a limited extent, the orientational aspects of association.     

Thermodynamics of hydrolysis of oligosaccharides

Microcalorimetry has been used to determine enthalpy changes for the hydrolysis of a series of oligosaccharides. High-pressure liquid chromatography was used to determine the extents of reaction and to check for any possible side reactions. The enzyme glucan 1,4-alpha-glucosidase was used to bring about the following hydrolysis reactions: (A) maltose(aq) + H2O(liq) = 2D-glucose(aq); (B) maltotriose(aq) + 2H2O(liq) = 3D-glucose(aq); (C) maltotetraose(aq) + 3H2O(liq) = 4D-glucose(aq); (D) maltopentaose(aq) + 4H2O(liq) = 5D-glucose(aq); (E) maltohexaose(aq) + 5H2O(liq) = 6D-glucose(aq); (F) maltoheptaose(aq) + 6H2O(liq) = 7D-glucose(aq); (G) amylose(aq) + nH2O(liq) = (n + 1) D-glucose(aq); and (H) panose(aq) + 2H2O(liq) = 3D-glucose(aq); (J) isomaltotriose(aq) + 2H2O(liq) = 3D-glucose(aq). The enzyme beta-fructofuranosidase was used for the reactions: (K) raffinose(aq) + H2O(liq) = alpha-D-melibiose(aq) + D-fructose(aq); and (L) stachyose(aq) + H2O(liq) = o-alpha-D-galactopyranosyl-(1----6)- alpha-o-D-galactopyranosyl-(1----6)-alpha-D-glucopyranose + D-fructose(aq). The results of the calorimetric measurements (298.15 K, 0.1 M sodium acetate buffer, pH 4.44-6.00) are: delta H0A = -4.55 +/- 0.10, delta H0B = -9.03 +/- 0.10, delta H0C = -13.79 +/- 0.15, delta H0D = -18.12 +/- 0.10, delta H0E = -22.40 +/- 0.15, delta H0F = -26.81 +/- 0.20, delta H0H = 1.46 +/- 0.40, delta H0J = 11.4 +/- 2.0, delta H0K = -15.25 +/- 0.20, and delta H0L = -14.93 +/- 0.20 kJ mol-1. The enthalpies of hydrolysis of two different samples of amylose were 1062 +/- 20 and 2719 +/- 100 kJ mol-1, respectively.(ABSTRACT TRUNCATED AT 250 WORDS)     

Fluorescence correlation spectroscopic examination of insulin and insulin-like growth factor 1 binding to live cells

We used fluorescence correlation spectroscopy to examine the binding of insulin, insulin-like growth factor 1 (IGF1) and anti-receptor antibodies to insulin receptors (IR) and IGF1 receptors (IGF1R) on individual 2H3 rat basophilic leukemia cells. Experiments revealed two distinct classes of insulin binding sites with K(D) of 0.11 nM and 75 nM, respectively. IGF1 competes with insulin for a portion of the low-affinity insulin binding sites with K(D) of 0.14 nM and for the high-affinity insulin binding sites with K(D) of 10 nM. Dissociation rate constants of insulin and IGF1 were determined to be 0.015 min(-1) and 0.013 min(-1), respectively, allowing estimation of ligand association rate constants. Combined, our results suggest that, in addition to IR and IGF1R homodimers, substantial numbers of hybrid IR-IGF1R heterodimers are present on the surface of these cells.     

Application of different surface plasmon resonance biosensor chips to monitor the interaction of the CaM-binding site of nitric oxide synthase I and calmodulin.

Surface plasmon resonance biosensors depend on modified gold surfaces to allow immobilization of proteins or peptides for interaction analysis. We investigated sensor chip surfaces that differ in the geometry of the immobilization matrix: two contain a three-dimensional coupling matrix and two have a surface with immobilization sites on a two-dimensional plane. Properties of sensor chips were compared by studying the interaction of calmodulin with a peptide representing the calmodulin-binding site of nitric oxide synthase I. Apparent K(D) values were determined by three different procedures in order to apply tests for self-consistency. At low surface densities (5-8 fmol/mm(2)) on three of the four tested surfaces, estimated K(D) values were within one order of magnitude and similar to the value found in solution (K(D) = 1-3 nM). When immobilization densities were increased by one to two orders of magnitude, apparent association rate constants were less distorted on a flat carboxymethylated surface than on dextran-coated sensor chips.     

Secondary conformation of short lysine- and leucine-rich peptides assessed by optical spectroscopies: effect of chain length, concentration, solvent, and time

Solution secondary structures of three synthetic cationic peptides, currently used in antisense oligonucleotide delivery into living cells, have been analyzed by means of circular dichroism (CD) and Raman scattering in different buffers as a function of concentration and time. All three peptides are of minimalist conception, i.e., formed by only two types of amino acids (leucine: L and lysine: K). Two of these peptides contain 15 aminoacids: N(ter)- KLLKLLLKLLLKLLK (L(10)K(5)), N(ter)-KLKLKLKLKLKLKLK (L(7)K(8)), and the third one has only 9 residues: N(ter)-KLKLKLKLK (L(4)K(5)). The conformational behavior of the 15-mers in pure water differs considerably one from another. Although both of them are initially disordered in the 50-350 microM range, L(10)K(5) gradually undergoes a disordered to alpha-helix transition for molecular concentrations above 100 microM. In all other solvents used, L(10)K(5) adopts a stable alpha-helical conformation. In methanol and methanol/Tris mixture, nonnative alpha-helices can be induced in both KL-alternating peptides, i.e., L(7)K(8) and L(4)K(5). However, in major cases and with a time delay depending on peptide concentration, beta-like structures can be gradually formed in both solutions. In PBS and methanol/PBS mixture, the tendency for L(7)K(8) and L(4)K(5) is to form structures belonging to beta-family. A discussion has been undertaken on the effect of counterions as well as their nature in the stabilization of ordered structures in both KL-alternating peptides.     

Evidence of multiple operational affinities for D-glucose inside the human erythrocyte membrane.

1. The Michaelis-Menten parameters of labelled D-glucose exit from human erythrocytes at 2 degrees C into external solution containing 50 mM D-galactose were obtained. The Km is 3.4 +/0 0.4 mM, V 17.3 +/- 1.4 MMOL . 1(-1) cell water . min-1 for this infinite-trans exit procedure. 2. The kinetic parameters of equilibrium exchange of D-glucose at 2 degrees C are Km = 25 +/- 3.4 mM, V 30 +/- 4.1 mmol . 1(-1) cell water . min-1. 3. The Km for net exit of D-glucose into solutions containing zero sugar is 15.8 +/- 1.7 mM, V 9.3 +/- 3.3 mmol . 1(-1) cell water . min-1. 4. This experimental evidence corroborates the previous finding of Hankin, B.L., Lieb, W.R. and Stein, W.D. [(1972) Biochim. Biophys. Acta 255, 126--132] that there are sites with both high and low operational affinities for D-glucose at the inner surface of the human erythrocyte membrane. This result is inconsistent with current asymmetric carrier models of sugar transport.     

Effect of multiple symmetries on the association of R67 DHFR subunits bearing interfacial complementing mutations

It was shown previously that complementation could be a powerful mean to probe protein-protein interactions in the normally tetrameric R67 DHFR. Indeed, mixing complementing inactive dimeric mutants produced active heterotetramers. This approach turned a homo-oligomer into a hetero-oligomer and thus allowed the use of combinatorial assays, a subtle analysis of the association forces, and a precise determination of the equilibrium dissociation constants (K(D)) by titrimetry. However, for some of the complementing pairs, the experimental data implied multiple equilibria involving heterodimers, although no monomers could be detected. Thus, the reactions involved had to be identified to elaborate a suitable model to determine the K(D) of those pairs correctly. That model suggested that homodimers associated rapidly before the protomers could be redistributed in a multiple equilibrium system. Kinetic data confirmed that view. The association data at equilibrium were analyzed by multiple curve fitting with all plausible combinations of parameters. This gave a confidence interval for K(D) that is safer than the usual 67% or 90% confidence interval. Finally, the K(D) of one specific reaction, the dissociation of a heterotetramer with the relevant symmetry into two homodimers could be determined with the relevant model for each complementing pair, although multiple equilibria were present. These K(D) can thus be used as a set of references data to test and improve theoretical methods such as association free energy calculations.     

Identification of an Mr 75000 component of the H+/D-glucose cotransporter from Zea mays with monoclonal antibodies directed against the mammalian Na+/D-glucose cotransporter

Monoclonal antibodies which interact with the mammalian Na+/D-glucose cotransporter and bind to Mr 75,000 and Mr 47,000 polypeptide components of this transporter have been described (Koepsell, H., Korn, K., Raszeja-Specht, A., Bernotat-Danielowski, S. and Ollig, D. (1988) J. Biol. Chem., 263, 18419-18429). The interaction of these antibodies with plasma membranes from Zea mays L. coleoptiles containing an H+/D-glucose cotransporter was studied. Four monoclonal antibodies cross-reacted with Mr 75,000 and Mr 33,000 polypeptides. One of these antibodies, which inhibits Na+/D-glucose cotransport in the kidney and stimulates Na+/D-glucose cotransport in intestine, stimulates electrogenic uptake of 3-O-methyl-D-[14C]glucose in plant membrane vesicles. The data indicate common epitopes in the mammalian Na+/D-glucose cotransporter and the H+/D-glucose cotransporter of plants and suggest that both transporters contain an Mr 75000 polypeptide component.     

Measuring dissociation constants of RNA and aminoglycoside antibiotics by electrospray ionization mass spectrometry

Electrospray ionization mass spectrometry (ESI-MS) has been used to determine the dissociation constants (K(D)s) and binding stoichiometry for tobramycin and paromomycin with a 27-nucleotide RNA construct representing the A-site of the 16S ribosomal RNA. K(D) values determined by holding the ligand concentration fixed are compared with K(D) values derived by holding the RNA target concentration fixed. Additionally, the effect of solution conditions such as the amount of organic solvent present and the amount of salt present in the solution on the K(D) measurement is investigated. It is shown that the preferred method for determining dissociation constants using ESI-MS is holding the RNA target concentration fixed below the expected K(D) and titrating the ligand. K(D) measurements should also be carried out at as high as possible salt concentration to minimize nonspecific binding due primarily to electrostatic interactions. For tobramycin, two nonequivalent binding sites were found with K(D1) = 352 nM and K(D2) = 9 microM. For paromomycin, there is only one binding site with K(D) = 52 nM.     

Comparison of the self-association properties of the 5'-triphosphates of inosine (ITP), guanosine (GTP), and adenosine (ATP). Further evidence for ionic interactions in the highly stable dimeric [H2(ATP)]2(4-) stack

The concentration dependence of the chemical shifts for the hydrogens H-2, H-8 and H-1' of ITP and for H-8 and H-1' of GTP has been measured in D2O at 25 degrees C under several degrees of protonation in the pD range 1.2-8.4. For reasons of comparison, inosine and guanosine have been included in the study The results are consistent with the isodesmic model of indefinite noncooperative stacking. The association constants for the nucleosides (Ns) inosine and guanosine decrease with increasing protonation: Ns greater than D(Ns)+/Ns in a 1:1 ratio greater than D(Ns)+. In contrast, a maximum is observed with ITP and GTP; the stacking tendency of GTP following the series: GTP4- less than or equal to D(GTP)3- (K approximately 0.7 M-1) less than D(GTP)3-/D2(GTP)2- in a 1:1 ratio (K approximately 2.9 M-1) greater than D2(GTP)2- greater than D3(GTP)- (K approximately 1.5 M-1). The order of the series with ITP corresponds to that with GTP, but the association constants are slightly smaller. At the maximum of the self-association tendency the triphosphate residue has only a minor influence; this follows from the fact that the association constants for the 1:1 ratios of Ino/D(Ino)+ and D(ITP)3-/D2(ITP)2- are identical within experimental error; this holds also for Guo/D(Guo)+ and D(GTP)3-/D2(GTP)2-; in all these pairs the K-7 site is 50% protonated. Comparison of the association constant for the deprotonated species shows that here charge effects, i.e. repulsion between the negatively charged triphosphate chains, are important: Ino (K approximately 3.3 M-1) greater than ITP4- (K approximately 0.4 M-1) and Guo (K approximately 8 M-1) greater than GTP4- (K approximately 0.8 M-1). In addition the series holds: Ado (K approximately 15 M-1) greater than Guo greater than Ino. However, most important is the comparison of the ITP and GTP series with previous data for ATP: ATP4- (K approximately 1.3 M-1) less than D(ATP)3- (2.1 M-1) less than 1:1 ratio of D(ATP)3-/D2(ATP)2- (6 M-1) much less than D2(ATP)2- (approximately 200 M-1) much greater than D3(ATP)- (K less than or equal to 17 M-1).(ABSTRACT TRUNCATED AT 400 WORDS)     

Kinetic epitope mapping of the chicken lysozyme.HyHEL-10 Fab complex: delineation of docking trajectories.

The rate constants, k(on), for the formation of hen (chicken) lysozyme (HEWL). Fab-10 complexes have been determined for wild-type (WT) and epitope-mutated lysozymes by a homogeneous solution method based on the 95% reduced enzymatic activity of the complex. The values fall within a narrow 10-fold range [(0.18 to 1.92) x 10(6) M(-1)s(-l)]. The affinity constants, K(D), cover a broader, 440-fold, range from 0.075 to 33 nM. Values of K(D) as high as 7 microM were obtained for the complexes prepared from some mutations at HEWL positions 96 and 97, but the associated kinetic constants could not be determined. The values of k(on) are negatively correlated with side-chain volume at position 101HEWL, but are essentially independent of this parameter for position 21HEWL substitutions. The multiple mutations made at positions 21HEWL and 101HEWL provide sufficient experimental data on complex formation to evaluate phi values [phi = (deltadeltaGon)/(deltadeltaG(D))] at these two positions to begin to define trajectories for protein-protein association. The data, when interpreted within the concept of a two-step association sequence embracing a metastable encounter complex intermediate, argue that the rate determining step at position 21HEWL (phiavg = 0.2) is encounter complex formation, but the larger phi(avg) value of 0.36 experienced for most position 101HEWL mutations indicates a larger contribution from the post-encounter annealing process at this site for these replacements.     

The effect of the lattice spacing change on cross-bridge kinetics in chemically skinned rabbit psoas muscle fibers. II. Elementary steps affected by the spacing change.

The actin-myosin lattice spacing of rabbit psoas fibers was osmotically compressed with a dextran T-500, and its effect on the elementary steps of the cross-bridge cycle was investigated. Experiments were performed at the saturating Ca (pCa 4.5-4.9), 200 mM ionic strength, pH 7.0, and at 20 degrees C, and the results were analyzed by the following cross-bridge scheme: [formula: see text] where A = actin, M = myosin head, S = MgATP, D = MgADP, and P = Pi = phosphate. From MgATP and MgADP studies on exponential process (C) and (D), the association constants of cross-bridges to MgADP (K0), MgATP (K1a), the rate constants of the isomerization of the AM S state (k1b and k-1b), and the rate constants of the cross-bridge detachment step (k2 and k-2) were deduced. From Pi study on process (B), the rate constants of the cross-bridge attachment (power stroke) step (k4- and k-4) and the association constant of Pi ions to cross-bridges (K5) were deduced. From ATP hydrolysis measurement, the rate constant of ADP-isomerization (rate-limiting) step (k6) was deduced. These kinetic constants were studied as functions of dextran concentrations. Our results show that nucleotide binding, the ATP-isomerization, and the cross-bridge detachment steps are minimally affected by the compression. The rate constant of the reverse power stroke step (k-4) decreases with mild compression (0-6.3% dextran), presumably because of the stabilization of the attached cross-bridges in the AM*DP state. The rate constant of the power stroke step (k4) does not change with mild compression, but it decreases with higher compression (> 6.3% dextran), presumably because of an increased difficulty in performing the power stroke. These results are consistent with the observation that isometric tension increases with a low level of compression and decreases with a high level of compression. Our results also show that the association constant K5 of Pi with cross-bridge state AM*D is not changed with compression. Our result further show that the ATP hydrolysis rate decreased with compression, and that the rate constants of the ADP-isomerization step (k6) becomes progressively less with compression. The effect of compression on the power stroke step and rate-limiting step implies that a large-scale molecular rearrangement in the myosin head takes place in these two slow reaction steps.     

Quantitative account of the enhanced affinity of two linked scFvs specific for different epitopes on the same antigen

Protein and other antigens typically have a number of different epitopes. This presents an opportunity for designing high-affinity antibodies by connecting via a flexible peptide linker two antibody fragments recognizing non-overlapping epitopes on the same antigen. The same strategy was employed in natural and designed DNA-binding proteins. According to a previous theory, the linking enhances the antigen-binding affinity over those of the individual antibody fragments (with association constants K(A) and K(B)) by p(d(0))K(B) or p(d(0))K(A), where p(d(0))=(3/4pil(p)bL)(3/2)exp(-3d(0)(2)/4l(p)bL)(1-5l(p)/4bL+ cdots, three dots, centered ) is the probability density for the end-to-end vector of the flexible linker with L residues to have a distance d(0). The predicted affinity enhancement is found to be actually approached by a bi-specific antibody against hen egg lysozyme consisting of scFv fragments of D1.3 and HyHEL-10. The wide applicability of the theory is demonstrated by diverse examples of protein-protein interactions constrained by flexible linkers.     

Folding of a three-stranded coiled coil

Coiled coils consist of two or more amphipathic a-helices wrapped around each other to form a superhelical structure stabilized at the interhelical interface by hydrophobic residues spaced in a repeating 3-4 sequence pattern. Dimeric coiled coils have been shown to often form in a single step reaction in which association and folding of peptide chains are tightly coupled. Here, we ask whether such a simple folding mechanism may also apply to the formation of a three-stranded coiled coil. The designed 29-residue peptide LZ16A was shown previously to be in a concentration-dependent equilibrium between unfolded monomer (M), folded dimer (D), and folded trimer (T). We show by time-resolved fluorescence change experiments that folding of LZ16A to D and T can be described by 2M (k1)<==>(k(-1)) D and M + D (k2)<==>(k(-2)) T. The following rate constants were determined (25 degrees C, pH 7): k1 = 7.8 x 10(4) M(-1) s(-1), k(-1) = 0.015 s(-1), k2 = 6.5 x 10(5) M(-1) s(-1), and k(-2) = 1.1 s(-1). In a separate experiment, equilibrium binding constants were determined from the change with concentration of the far-ultraviolet circular dichroism spectrum of LZ16A and were in good agreement with the kinetic rate constants according to K(D) = k1/2k(-1) and K(T) = k2/k(-2). Furthermore, pulsed hydrogen-exchange experiments indicated that only unfolded M and folded D and T were significantly populated during folding. The results are compatible with a two-step reaction in which a subpopulation of association competent (e.g., partly helical) monomers associate to dimeric and trimeric coiled coils.     

Quantitative evaluation of the chicken lysozyme epitope in the HyHEL-10 Fab complex: free energies and kinetics.

The hen (chicken) egg-white lysozyme (HEWL) epitope for the monoclonal antibody HyHEL-10 Fab (Fab-10) was investigated by alanine scan mutagenesis. The association rate constants (k(on)) for the HEWL Fab-10 complexes were obtained from the homogenous solution method described in the preceding paper (Taylor et al., 1998). A new method for determining the dissociation rate constant (k(off)) for the complex, by trapping nascent free antibody with an inactive HEWL mutant is described. The values of k(on) fall within a factor of 2 of the wild-type (WT) HEWL value (1.43+/-0.13 X 10(6)M(-1)s(-1)), while the increases in k(off)more nearly reflect the total change in free energies of the complex (deltadeltaG(D)). The dissociation constants (K(D)) were measured directly in those cases where satisfactory kinetic data could not be obtained. The Y20A, K96A, and K97A HEWL.Fab-10 complexes are destabilized by more than 4 kcal/mol compared to the WT complex. The R21A, L75A, and D101A antibody complexes are moderately destabilized (0.7 < deltadeltaG(D)< or = 1.0 kcal/mol). Additional mutations of the "hotspot" residues (Tyr20, Lys96, Lys97) were constructed to probe, more precisely, the nature of their contributions to complex formation. The results show that the entire hydrocarbon side chains of Tyr20 and Lys97, and only the epsilon-amino group of Lys96, contribute to the stability of the complex. The value of deltadeltaG(D) for the R21A mutant complex is a distinct outlier in the Arg21 replacement series demonstrating the importance of supplementing alanine scan mutagenesis with additional mutations.     

肌醇磷脂激酶(PI4-K)单克隆抗体的制备及其对细胞生长的抑制

制备了抗肌醇磷脂激酶 ( PI4- K)单克隆抗体 ( A6D)并测定了抗原 -抗体反应基本特性及功能 .结果表明 ,单克隆抗体与固相及溶液中肌醇磷脂激酶的亲和常数分别为 7.5× 1 0 6和 6× 1 0 8( mol/L) -1.单抗 1 .9× 1 0 -7mol/L可以抑制从细胞提取液的 PI4- K酶活力 50 % .用 FITC标记单抗在蛋白微球引导下进入细胞内 ,主要富集在细胞质膜区 ,并对 He La细胞和小鼠小脑细胞生长有明显抑制作用 .     

Glucose condensation by glucoamylase in organic solvents

Summary Oligosaccharides were synthesized through the enzymatic condensation of D-glucose by glucoamylase in water-organic mixtures with high concentrations of two of diethylene glycol diethyl ether or triethylene glycol dimethyl ether. The effect of water content on the yield of reaction was studied; maximum yield was obtained with 10% (v/v) of water in the two systems. Kinetics of synthesis and products composition were different with the two solvents. 37% of glucose were condensed by action of glucoamylase from a reaction medium containing 20 g/L of glucose and 90% (v/v) of diethylene glycol diethyl ether.     

Kinetics of D-glucose transport across the intestinal brush-border membrane of the cat

1. D-glucose transport across the intestinal brush-border membrane of the cat, a carnivorous animal, was investigated using isolated brush-border membrane vesicles (BBMV). Kinetic experiments were performed under zero-trans conditions (initial [Na+]in and [Gluc]in = O) with the transmembrane electrical potential difference clamped to zero. 2. D-glucose uptake by the BBMV was strongly stimulated by an inwardly directed Na+-gradient. Uptake under Na+-free conditions seemed to occur by simple diffusion. 3. The apparent kinetic constants (Vmax, Km) of Na+-dependent D-glucose transport were computed by forcing initial uptake rates at 0.002-10.0 mmol/l D-glucose to either a Michaelis-Menten type equation with a single or with two carrier-mediated components. 4. Best fit of the experimental data was obtained with the two-component model indicating the existence of two Na+-dependent carrier-mediated mechanisms. System 1 and system 2 differ with respect to the transport velocity as well as the substrate affinity constants with Vmax being 2.5-fold and Km being 5-fold higher for system 1 compared with system 2.     

Self-association of adenosine 5'-monophosphate (5'-AMP) as a function of pH and in comparison with adenosine, 2'-AMP and 3'-AMP

The concentration dependence of the chemical shifts for protons H-2, H-8, and H-1' of adenosine (Ado), 2'-AMP, 3'-AMP and 5'-AMP was measured in D2O at 27 degrees C under several degrees of protonation. All results are consistent with the isodesmic model of indefinite noncooperative stacking. The association constants for Ado decrease with increasing protonation: Ado (K = 15 M-1) greater than D(Ado)+/Ado (6.0 M-1) greater than D(Ado)+ (0.9 M-1). In contrast, a maximum is observed with 5'-AMP: 5'-AMP2- (K = 2.1 M-1) less than D(5'-AMP)- (3.4 M-1) less than D2(5'-AMP) +/- /D(5'-AMP)- (5.6 M-1) greater than D2(5'-AMP) +/- (approximately 2 M-1) greater than D3(5'-AMP)+ (less than or equal to 1 M-1). Self-stacking is most pronounced here if 50% of the adenine residues are protonated at N-1; complete base protonation reduces the stacking tendency drastically. Comparing the self-association of 2'-, 3'- and 5'-AMP shows that there is no influence of the phosphate-group position in the 2-fold negatively charged species, i.e., K congruent to 2 M-1 for all three AMP2- species. More importantly, there is also no significant influence observed if the stacking tendency of the three D2(AMP) +/- /D(AMP)-1:1 mixtures is compared (K congruent to 6-7 M-1); moreover, the measured association constants are within experimental error identical with the constant determined for D(Ado)+/Ado (K = 6.0 M-1). This indicates that any coulombic contribution between the -PO3(H)- group and the H+ (N-1) unit of the adenine residue to the stability of the mentioned stacks in D2O is small. However, experiments in 50% (v/v) dioxane-D8/D2O with the D2(5'-AMP) +/- /D(5'-AMP)- 1:1 system reveal, despite its low solubility, that coulombic interactions contribute to the self-association in an environment with a reduced polarity (compared to that of water). The implications of these observations for biological systems are briefly indicated.     

Anomeric specificity and kinetics of glucokinase: theoretical unsuitability of the Hill equation

The kinetics of the low-Km hexokinase isoenzymes, which obey the Michaelis-Menten equation, can be established from the Km (Michaelis constant) and Vmax (maximal velocity) values for either equilibrated D-glucose or its alpha- and beta-anomers. In the case of the high-Km glucokinase isoenzyme, however, the sigmoidal substrate dependency and the competition between the two anomers of D-glucose do not allow, theoretically, to assign any meaningful value to either the Km, Vmax or n (Hill number) constants for equilibrated D-glucose. Thus, with equilibrated D-glucose, the concentration dependency fails to display a rectilinear relationship in the Hill plot. These observations illustrate the shortcomings of current biochemical studies in which the anomeric heterogeneity of D-glucose is ignored.