Kinetics and mechanism in the reaction of gene regulatory proteins with DNA

We have measured the kinetic properties of the Escherichia coli cAMP receptor protein (CAP) and lac repressor interacting with lac promoter restriction fragments. Under our reaction conditions (10 mM-Tris X HCl (pH 8.0 at 21 degrees C), 1 mM-EDTA, 10 microM-cAMP, 50 micrograms bovine serum albumin/ml, 5% glycerol), the association of CAP is at least a two-step process, with an initial, unstable complex formed with rate constant kappa a = 5(+/- 2.5) X 10(7) M-1 s-1. Subsequent formation of a stable complex occurs with an apparent bimolecular rate constant kappa a = 6.7 X 10(6) M-1 s-1. At low total DNA concentration, the dissociation rate constant for the specific CAP-DNA complex is 1.2 X 10(-4) s-1. The ratio of formation and dissociation rate constants yields an estimate of the equilibrium constant, Keq = 5 X 10(10) M-1, in good agreement with static results. We observed that the dissociation rate constant of both CAP-DNA and repressor-DNA complexes is increased by adding non-specific "catalytic" DNA to the reaction mixture. CAP dissociation by the concentration-dependent pathway is second-order in added non-specific DNA, consistent with either the simultaneous or the sequential participation of two DNA molecules in the reaction mechanism. The results imply a role for distal DNA in assembly-disassembly of specific CAP-DNA complexes, and are consistent with a model in which the subunits in the CAP dimer separate in the assembly-disassembly process. The dissociation of lac repressor-operator complexes was found to be DNA concentration-dependent as well, although in contrast to CAP, the reaction is first-order in catalytic DNA. Added excess operator-rich DNA gave more rapid dissociation than equivalent concentrations of non-specific DNA, indicating that the sequence content of the competing DNA influences the rate of repressor dissociation. The simplest interpretation of these observations is that lac repressor can be transferred directly from one DNA molecule to another. A comparison of the translocation rates calculated for direct transfer with those predicted by the one-dimensional sliding model indicates that direct transfer may play a role in the binding site search of lac repressor.     

Kinetics of binding of oligosaccharides to a homogeneous pneumococcal antibody: dependence on antigen chain length suggests a labile intermediate complex.

Temperature-jump experiments were performed with di-, tetra-, and hexasaccharides derived from type III pneumococcal polysaccharide using a homogeneous corresponding antibody IgG 45-394. A decrease in stability of the oligosaccharide-antibody complexes with decreasing chain length was observed and entirely reflected in the decrease of the association rate constants which were 1.7 X 10(4) M-1 s-1 for the di-, 3.7 X 10(5) M-1 s-1 for the tetra-, and 1.1 X 10(6) M-1 s-1 for the hexasaccharide at 23 degrees C. The dissociation rate constants for all oligomers were about 12 s-1. This marked chain-length dependence of the association rate constants as well as their low values are unexpected for a single binding step. A mechanism is proposed which consists of a fast formation of a labile oligosaccharide-antibody precomplex followed by a slow isomerization step which is induced by the oligosaccharide ligands but which is chain-length independent.     

Promoter recognition and promoter strength in the Escherichia coli system.

The strength of Escherichia coli promoters in vivo as well as the rates of association between RNA polymerase and promoter sequences differ by more than an order of magnitude. Since efficient promoter recognition and rapid binding of the enzyme might be a prerequisite for exceptional promoter strength we have determined the forward rate constants kon (as well as koff) for nine promoters including PL, PA1, and PN25 from phages lambda, T7, and T5, respectively as well as Pbla and PlacUV5 from E. coli. The second order forward rate constants span a 30-fold range from 1 X 10(7) M-1 s-1 for Pbla and PL up to 2.9 X 10(8) M-1 S-1 for PN25. Little correlation between 'promoter recognition' as defined by the rate of complex formation of a promoter sequence with RNA polymerase and its strength in vivo as defined by the rate of RNA synthesis has been found. This adds to the evidence that the complex functional pathway encoded in a promoter sequence can be limited at various levels and that promoter strength in vivo is the result of an optimization process involving more than just one functional parameter.     

Manganese peroxidase from the lignin-degrading basidiomycete Phanerochaete chrysosporium. Transient state kinetics and reaction mechanism

Stopped-flow techniques were used to investigate the kinetics of the formation of manganese peroxidase compound I (MnPI) and of the reactions of MnPI and manganese peroxidase compound II (MnPII) with p-cresol and MnII. All of the rate data were obtained from single turnover experiments under pseudo-first order conditions. In the presence of H2O2 the formation of MnPI is independent of pH over the range 3.12-8.29 with a second-order rate constant of (2.0 +/- 0.1) x 10(6) M-1 s-1. The activation energy for MnPI formation is 20 kJ mol-1. MnPI formation also occurs with organic peroxides such as peracetic acid, m-chloroperoxybenzoic acid, and p-nitroperoxybenzoic acid with second-order rate constants of 9.7 x 10(5), 9.5 x 10(4), and 5.9 x 10(4) M-1 s-1, respectively. The reactions of MnPI and MnPII with p-cresol strictly obeyed second-order kinetics. The second-order rate constant for the reaction of MnPII with p-cresol is extremely low, (9.5 +/- 0.5) M-1 s-1. Kinetic analysis of the reaction of MnII with MnPI and MnPII showed a binding interaction with the oxidized enzymes which led to saturation kinetics. The first-order dissociation rate constants for the reaction of MnII with MnPI and MnPII are (0.7 +/- 0.1) and (0.14 +/- 0.01) s-1, respectively, when the reaction is conducted in lactate buffer. Rate constants are considerably lower when the reactions are conducted in succinate buffer. Single turnover experiments confirmed that MnII serves as an obligatory substrate for MnPII and that both oxidized forms of the enzyme form productive complexes with MnII. Finally, these results suggest the alpha-hydroxy acids such as lactate facilitate the dissociation of MnIII from the enzyme.     

Mechanism and role of cooperative binding of bacteriophage fd gene 5 protein to single-stranded deoxyribonucleic acid

The highly cooperative binding of fd gene 5 to single-stranded DNA was studied kinetically by rapid photo-cross-linking and stopped-flow UV absorption measurements. The observed change in absorbance was shown to be due to the binding by direct evidence of rapid photo-cross-linking of the bound proteins to fd DNA. The bimolecular rate constant obtained for the association was 1.6 X 10(10) M-1 s-1 (in terms of the molecular concentration of DNA), which was concluded to be diffusion controlled. The breakdown of cluster complexes on fd DNA was induced by the addition of large excess amounts of short single-stranded DNA. The breakdown took place in about 1 s. The kinetic process of redistribution of dissociated proteins was monitored by rapid photo-cross-linking and subsequent electrophoresis of the cross-linked complex. The dissociated proteins first formed isolated complexes, but later they were again converted into the cluster. The kinetic results showed that the cooperativity originated from the stabilization of the protein-DNA complex by the cluster formation, not from the accelerated association in the cluster formation. This kind of cooperative binding was shown to perform negative feedback control in the cluster formation. On the basis of the kinetic results obtained, we proposed a model for the regulatory role of the fd gene 5 protein in the synthesis of single-stranded fd DNA.     

Kinetic analysis of the hydrolysis of GTP by p21N-ras. The basal GTPase mechanism

The rate constants have been determined for elementary steps in the basal GTPase mechanism of normal p21N-ras (Gly-12) and an oncogenic mutant (Asp-12): namely GTP binding, hydrolysis, phosphate release, and GDP release. By extrapolation from data at lower temperatures, the GTP association rate constant at 37 degrees C is 1.4 x 10(8) M-1 s-1 for the normal protein and 4.8 x 10(8) M-1 s-1 for the mutant. Other rate constants were measured directly at 37 degrees C, and three processes have similar slow values. GTP dissociation is at 1.0 x 10(-4) s-1 (normal) and 5.0 x 10(-4) s-1 (mutant). The hydrolysis step is at 3.4 x 10(-4) s-1 (normal) and 1.5 x 10(-4) s-1 (mutant). GDP dissociates at 4.2 x 10(-4) s-1 (normal) and 2.0 x 10(-4) s-1 (mutant). GDP association rate constants are similar to those for GTP, 0.5 x 10(8) M-1 s-1 for normal and 0.7 x 10(8) M-1 s-1 for mutant. Both hydrolysis and GDP release therefore contribute to rate limitation of the basal GTPase activity. There are distinct differences (up to 5-fold) between rate constants for the normal and mutant proteins at a number of steps. The values are consistent with the reduced GTPase activity for this mutant and suggest little difference between normal and mutant proteins in the relative steady-state concentrations of GTP and GDP complexes that may represent active and inactive states. The results are discussed in terms of the likely role of p21ras in transmembrane signalling.     

Studies of electron migration in DNA in aqueous solution using intercalating dyes.

The reactions of the hydrated electron (e-aq) and of the hydroxyl radical (OH) with double-stranded DNA in aqueous solution at room temperature have been studied through the use of the intercalating dyes, proflavine and ethidium. These dyes react with e-aq with rate constants of (2.5 +/- 0.2) - 10(10) M-1 - s-1 and (3.0 +/- 0.3) - 10(10) M-1 - s-1, respectively; the rate constant for the reaction of OH with proflavine is (1.0 +/- 0.2) - 10(10) M-1 - s-1. When these molecules are bound within the DNA structure both the yields and the rate constants of reaction with e-aq are reduced in a manner entirely consistent with a simple competition between the DNA bases and restricted dye molecules reacting with a bimolecular rate constant of about 2 - 10(9) M-1 - s-1. No evidence of free electron migration in the DNA was obtained, and an upper limit of five base pairs for the range of such migration was derived. Reactions of the hydroxyl radical with DNA-bound proflavine also lead to a rate constant of about 2 - 10(9) M-1 - s-1. These rate constants are in good agreement with rate predictions (per base unit) for a diffusion-controlled reaction with the DNA structure.     

Functional characteristics of the rrnD promoters of Escherichia coli

The function of the tandem rrnD promoters (P1, P2) of Escherichia coli, which are highly efficient in directing rRNA synthesis, was studied in vitro using the strong hybrid promoter PtacI as a reference. One of the characteristics of the rrnD promoters is a pronounced instability of binary and initiating complexes formed with RNA polymerase. The rate of productive complex formation and of chain initiation at these promoters was found to be limited by a step in binary complex transitions with an apparent first-order rate constant equal to 3.9 x 10(-2) s-1. A comparison of this rate with that determined previously by filter binding assays (Gourse, R. (1988) Nucleic Acids Res. 16, 9789-9809) suggests that the rate-limiting step is a conversion of an intermediate species of open complex to one that is efficient in productive initiation. The slow rate of this reaction and the instability of open complexes account for the relatively low competitive strengths of the rrnD promoters. However, this limitation of rrn promoter function changes with promoter occupancy because the rate of chain initiation increased after completion of the first round of initiation. Despite their poor competitive strength, the rrnD promoters are more productive than PtacI at nonlimiting RNA polymerase concentrations. This can be ascribed to the different rates with which RNA polymerases leave PtacI and the rrnD promoters. These functional differences of the promoters are consistent with a "stressed intermediate" model of chain initiation (Straney, D.C., and Crothers, D.M. (1987) J. Mol. Biol. 193, 267-278) which predicts that rapid clearance of the rrn promoters is mechanistically related to the instability of the binary complexes.     

Kinetic and equilibrium studies on steroid interaction with human corticosteroid-binding globulin

Kinetic and equilibrium studies on the interaction of steroids with human corticosteroid-binding globulin (CBG, transcortin) were performed with pH, temperature, and steroid structure as variables. Dissociation rate constants were determined fluorometrically; the values for cortisol, corticosterone, deoxycorticosterone, and progesterone are 0.031, 0.047, 0.10, and 0.16 s-1, respectively, at 20 degrees C, pH 7.4. The pH dependence of the dissociation rate constant for the corticosterone complex below pH 10.5 at 20 degrees C is given by koff = 0.043 (1 + [H+]/10(-6.50)) s-1; above pH 11, koff = 0.030 (1 + 10(-12.15/[H+] s-1. A temperature-dependence study of koff for the cortisol and progesterone complexes gave values of 0.0028 s-1 and 0.012 s-1 at 4 degrees C, respectively, and 0.88 s-1 and 4.5 s-1 at 37 degrees C, with progesterone dissociating about four to five times faster over the entire temperature range. The affinity constants, determined by equilibrium dialysis, for the binding of cortisol, corticosterone, and progesterone at 4 degrees C were 7.9, 7.2, and 7.0 X 10(8) M-1; values of 0.40 and 0.26 X 10(8) M-1 were determined at 37 degrees C for cortisol and progesterone. The close similarity of the affinity constants of the three steroids combined with differing dissociation rates implies that the association rate changes with steroid structure, in contrast to our earlier findings with progesterone-binding globulin.     

Kinetic studies of calcium binding to parvalbumins from bullfrog skeletal muscle

In addition to steady-state properties of calcium binding to parvalbumins, kinetic studies are required for adequate evaluation of the physiological roles of parvalbumins. By using a dual-wavelength spectrophotometer equipped with a stopped-flow accessory, the transient kinetics of calcium binding to parvalbumins (PA-1 and 2) from bullfrog skeletal muscle was examined at 20 degrees C in medium containing 20 mM MOPS-KOH, pH 6.80, 0.13 mM tetramethylmurexide, 25 microM CaCl2, metal-deprived PA-1 or PA-2, various concentrations of Mg2+, and KCl to adjust the ionic strength of the medium to 0.106. The results can be explained in terms of the following rate constants under the conditions mentioned above when a second-order kinetic scheme is assumed. For PA-1, the association and apparent dissociation rate constants for Ca2+ are 1.5 X 10(7) M-1 X s-1 and 1.5 s-1, respectively, or more. The rate constants for Mg2+ are 7,500 M-1 X s-1 and 5-6 s-1, respectively. For PA-2, the rate constants for Ca2+ are 7 X 10(6) M-1 X s-1 and 1.16 s-1, respectively, and those for Mg2+ are 3,500 M-1 X s-1 and 3.5-4 s-1, respectively. Increased affinities for Ca2+ and Mg2+ at 10 degrees C are largely due to decreased apparent dissociation rate constants for these divalent cations, because no significant change in the association rate constants was found.     

Kinetic studies on the interaction of eglin c with human leukocyte elastase and cathepsin G

We have investigated the inhibition of human leukocyte elastase and cathepsin G by recombinant Eglin c under near physiological conditions. The association rate constants k on of Eglin c for elastase and cathepsin G were 1.3 X 10(7) M-1 s-1 and 2 X 10(6) M-1 s-1, respectively. Under identical conditions, the k on for the association of human plasma alpha 1-proteinase inhibitor with the two leukocproteinases were 2.4 X 10(7) M-1 s-1 and 10(6) M-1 s-1, respectively. The consistency of these data could be verified using a set of competition experiments. The elastase-Eglin c interaction was studied in greater detail. The dissociation rate constant k off was determined by trapping of free elastase from an equilibrium mixture of elastase and Eglin c with alpha 1-proteinase inhibitor or alpha 2-macroglobulin. The rate of dissociation was very low (k off = 3.5 X 10(-5) s-1). The calculated equilibrium dissociation constant of the complex, Ki(calc) = k off/k on, was found to be 2.7 X 10(-12) M. Ki was also measured by adding elastase to mixtures of Eglin c and substrate and determining the steady-state rates of substrate hydrolysis. The Ki determined from these experiments (7.5 X 10(-11) M) was significantly higher than Ki(calc). This discrepancy might be explained by assuming that the interaction of Eglin c with elastase involves two steps: a fast binding reaction followed by a slow isomerization step. From the above kinetic constants it may be inferred that at a therapeutic concentration of 5 X 10(-7) M, Eglin c will inhibit leukocyte elastase in one second and will bind this enzyme in a "pseudo-irreversible" manner.     

Characterization of recombinant C1 inhibitor P1 variants.

Twelve human C1 inhibitor P1 variants were constructed by site-directed mutagenesis of the codon for arginine 444 and were expressed in COS-1 cells to analyze the functional properties. The ability to bind to target proteases, as well as potential substrate-like behavior, was investigated with radioimmunoassays. The P1-Lys variant retained binding capacity toward C1s, plasmin, and kallikrein. In addition, complex formation with C1s was detected for P1-Asn and P1-His. All other P1 substitutions resulted in C1 inhibitor variants that neither complexed with nor were inactivated by C1s, kallikrein, beta-factor XIIa, or plasmin. Electrophoretic studies confirmed that P1-Lys and P1-His can form sodium dodecyl sulfate-resistant complexes with C1s. In contrast, the C1s-P1-Asn complex dissociated upon addition of sodium dodecyl sulfate. Kinetic experiments by the method of progress curves generated association rate constants (kon) with C1s of 4.2 x 10(4) M-1 s-1 for recombinant wild-type C1 inhibitor and 1.7 x 10(4) M-1 s-1 for P1-Lys. For P1-Asn and P1-His, kon was decreased approximately 100-fold. The results from inhibition experiments were compatible with a model of reversible inhibition, although the observed dissociation rate for wild-type C1 inhibitor is too low (1-2 x 10(-6) s-1) to be physiologically relevant. The overall inhibition constant (Ki) was estimated to be 0.03 nM. With P1-Asn, reversible inhibition could be demonstrated directly upon dilution of preformed complexes; the observed dissociation rate constant was 3.2 x 10(-4) s-1; and Ki increased to approximately 380 nM. These findings are discussed in relation to inhibitor specificity and inhibition mechanism.