Scanning molecular sieve chromatography of interacting protein systems. III. Effect of kinetic parameters on the large zone boundary profiles for local equilibration between mobile and stationary phases

Large zone reaction boundary profiles for molecular sieve chromatography as affected by kinetic parameters have been simulated for local equilibration between the mobile and stationary phases. Our studies of monomer-dimer and monomer-tetramer systems indicate that in a slowly equilibrating system, the kinetic controls operating between the mobile and stationary phases contribute most significantly to the overall boundary profile. In a rapidly equilibrating system, however, the kinetic parameters k(ij) and k(ji) operating in the mobile phase are the principal determinants of the reaction boundary, while the kinetic effects of k(ii) and k-(ii) between the mobile and stationary phases are minimal.     

Uridine-cytidine kinase. Kinetic studies and reaction mechanism.

The initial velocity pattern has been determined for uridine-cytidine kinase purified from the murine mast cell neoplasm P815. With either uridine or cytidine as phosphate acceptor, and ATP as phosphate donor, the pattern observed was one of intersecting lines, ruling out a ping-pong reaction mechanism, and suggesting that the reaction probably proceeds by the sequential addition of both substrates to the enzyme to form a ternary complex, followed by the sequential release of the two products. This pattern was obtained whether the reaction was run in 0.01 m potassium phosphate buffer, pH 7.5, or in 0.1 m Tris-HCl, pH 7.2. When analyzed by the Sequen computer program, the data indicated an apparent K_m of the enzyme for uridine of 1.5 × 10^?4m, an apparent K_m for cytidine of 4.5 × 10^?5m, and a K_m for ATP, with uridine or cytidine as phosphate acceptor, of 3.6 × 10^?3m or 2.1 × 10^?3m, respectively. The V was 1.83 μmol phosphorylated/min/mg enzyme protein for the uridine kinase reaction and 0.91 μmol for the cytidine kinase reaction.     

Adenylate kinase bound to the envelope membranes of spinach chloroplasts.

The activity of adenylate kinase (ATP:AMP phosphotransferase, EC 2.7.4.3) in both the forward (2ADP → ATP + AMP) and backward (ATP + AMP → 2ADP) reactions was found to be associated with the envelope membranes which were isolated from spinach chloroplasts. Sonication and repeated washing in a medium of high ionic strength were unable to release the enzymes from the envelope membranes. Adenylate kinase bound to the envelope is stable in the cold and inactivated by heat and acid treatments. The enzyme requires magnesium ion as an activator. The pH-activity profile of the forward reaction catalyzed by membrane-bound adenylate kinase gave a maximal activity at pH 8.5. The apparent Michaelis constant, K_m, value for ADP in the forward reaction was estimated to be 1.3 ± 0.2 × 10^?4m. A Lineweaver-Burk plot of the forward reaction gave a straight line when the reciprocal of the reaction rate was plotted versus the reciprocal, and not the square of the reciprocal, of the concentration of substrate ADP. This favors the view that the adenylate kinase bound to the chloroplast envelope has a single or equivalent binding site of Mg-ADP^?. The probable involvement of adenylate kinase bound to the chloroplast envelope in controlling the energy pool and adenylate translocation in chloroplasts is suggested.     

Mathematical modelling of dynamics and control in metabolic networks. II. Simple dimeric enzymes

The dynamics of enzyme cooperativity are examined by studying a homotropic dimeric enzyme with identical reaction sites, both of which follow irreversible Michaelis-Menten kinetics. The problem is approached via scaling and linearization of the governing mass action kinetic equations. Homotropic interaction between the two sites are found to depend on three dimensionless groups, two for the substrate binding step and one for the chemical transformation. The interaction between the two reaction sites is shown capable of producing dynamic behavior qualitatively different from that of a simple Michaelis-Menten system; when the two sites interact to increase enzymatic activity over that of two independent monomeric enzymes (positive cooperativity) damped oscillatory behavior is possible, and for negative cooperativity in the chemical transformation step a multiplicity of steady states can occur, with one state unstable and leading to runaway behavior. Linear analysis gives significant insight into system dynamics, and their parametric sensitivity, and a way to identify regions of the parameter space where the approximate quasi-stationary and quasi-equilibrium analyses are appropriate.     

Effects of solvent and ionic medium on the kinetics of axial ligand substitution in vitamin B12. Part IV. The reaction between aquocobalamin and the thiocyanate ion in acetonitrile-water mixtures

The rate constants for the reaction of aquocobalamin with the thiocyanate ion were measured as a function of ionic strength and solvent composition in acetonitrile-water mixtures. The reaction is described by a two-step mechanism: the ligation reaction, where the most stable isomer (S-bonded) is formed and the isomerisation reaction (S-bonded to N-bonded thiocyanate). For the ligation reaction a full quantitative analysis of solvent effects could be performed, whereas for the isomerisation reaction only qualitative observations were made. The equilibrium constant for the isomerisation (S-bonded/N-bonded) is large and does not change with the solvent composition. It is found that the transfer Gibbs energies of activation for the ligation reaction are the same as found for the ligand thiourea. The absence of a solvent effect on the isomerisation reaction is a further example of the ability of vitamin B₁₂ to create its own micro environment.     

On the function of the fluorescence quenchers in chloroplasts and their relation to the primary electron acceptor of photosystem II.

Redox titrations of the fluorescence quenching components in chloroplasts indicate the presence of two components, one with E_m7.6 = + 25 mV and the second with E_m7.6 = -270 mV. These midpoint potentials are almost the same as those of two Photosystem II components previously shown to contribute to the chloroplast electrogenic reaction measured at 518 nm (R. Malkin, 1978, FEBS Lett.87, 329–333). Comparison of light-induced fluorescence yield changes with those obtained by redox titration suggests that both fluorescence quenchers are photoreduced. A direct demonstration of the photoreduction of the low-potential fluorescence quencher was observed in experiments at defined redox potentials. Fluorescence induction curves measured at low light intensity in the presence of 3-(3,4-dichlorophenyl)-1,1-dimethylurea (DCMU) also showed a contribution from both fluorescence quenchers. An additional electron acceptor, other than the two fluorescence quenchers, was also identified in the acceptor complex. These results are discussed in terms of several electron acceptors functioning in the Photosystem II reaction center complex, and the possible function of these acceptors is considered.     

Rate enhancement by guided diffusion. Chain length dependence of repressor-operator association rates

Association rates are calculated for cases where one reaction partner belongs to a chain that has an unspecific affinity to the other. Provided that the unspecific attachment does not completely suppress diffusion along the chain, this channeling may considerably speed up the association. Explicit formulae are derived to show how this effect depends on the chain length and other parameters. The influence of electrostatic forces and reaction barriers is discussed. Time dependent solutions of the diffusion equations are analyzed in order to test the usual steady state assumptions. Experiments on the repressor-operator system seem to be in good agreement with our theory.     

Protein crystallography at sub-zero temperatures: lysozyme-substrate complexes in cooled mixed solvents.

To determine the feasibility of direct X-ray crystallographic structure determination of productive enzyme-substrate complexes and to ascertain the best conditions for such studies, the hydrolysis of bacterial cell walls and oligosaccharides by human leukaemic lysozyme was investigated in mixed aqueous/organic solvents and high salt solutions. Although high salt solutions modify the enzymic reaction, hydrolysis in mixed solvents appears to proceed by the same mechanism as in aqueous solution. At low temperatures the reaction is slowed progressively, and at −25 °C the enzyme-substrate complex in mixed solvents is stable indefinitely. The conformation of the enzyme is not significantly altered in these solvents, and the enzyme-substrate complex can be formed by direct addition of substrate to the enzyme at sub-zero temperatures, as required for crystallographic studies. The pH profile of the reaction in mixed solvents allows conditions of optimal binding to be selected. These studies in solution demonstrate that low-temperature protein crystallography may indeed permit the direct determination of the three-dimensional structure of enzyme-substrate complexes. They also delineate the precise conditions of pH, temperature and solvent to use in the crystallographic experiments.     

Benzo(a)pyrene quinone metabolism in tracheal organ cultures.

The C^? methyl group of methionine-29 of RNAase was enriched with ¹³C. The synthesis involved the reaction of RNAase with ¹³CH₃I at pH 4. S-Methylmethionine-29 RNAase was recovered in 80% yield. This sulfonium derivative was subsequently demethylated with 0.1 M mercaptoethanol at pH 8.5, 25°C for 4 days. These conditions allowed the demethylation reaction to successfully compete with the reaction of the thiol with the four disulfide bridges in RNAase. After dialysis, concentration and chromatography, native RNAase with approx. 50% of its Met²⁹ methyl groups enriched in ¹³C was recovered as was unreversed S-Methylmethionine-29 RNAase. Both proteins showed full enzymatic activity toward cytidine 2′:3′-cyclic monophosphate. ¹³C-methyl signals from enriched RNAase and the sulfonium derivative were observed at 13.8 and 26.7 ppm from TMS respectively. Preliminary denaturation studies with the methylated protein suggest that ¹³C enrichment of methionine methyl groups in RNAase will be a useful technique for following the unfolding transition at these sites of the protein.     

The electrolytic preparation of bioactive radioiodinated parathyroid hormone of high specific activity.

A technique for the preparation of microgram quantities of bovine parathyroid hormone (bPTH) labeled with carrier-free ¹²⁵I to a specific activity of 1300 Ci/mmol is described. A restructured and simplified apparatus was used for electrolytic iodination, making it feasible to use reaction volumes of 100 to 200 ml. The miniaturized setup requires only a small platinum crucible connected via an agar-KCl salt bridge to a saturated KCl solution, a battery to drive the reaction, and a voltmeter to monitor the potential difference between the reference-saturated KCl solution (via a calomel electrode) and the platinum crucible. The [¹²⁵I]-labeled bPTH elutes as a single species when chromatographed on a Biogel P-10 column equilibrated in 3 m guanidine HCl-2.3 m formic acid, and it retains full biologic activity when bioassayed in vivo. It is evident that bPTH labeled to a high specific activity with ¹²⁵I does not suffer in regard to its biological potency.     

In vitro sensitization to transplantation antigens. VII. Enhanced graft-vs-host activity of in vitro allosensitized lymphoid cells

We have previously demonstrated that C57BL/6J lymphoid cells sensitized in vitro to C3H/He transplantation antigens, present on macrophage monolayers, can transfer an accelerated C3H allograft response to recipient C57 mice. The present report indicates that C57 lymphoid cells sensitized to C3H alloantigens, present on macrophage monolayers, can also mediate a graft-versus-host (GVH) reaction in (C3H × C57) F₁ newborn mice. This GVH reaction is of greater magnitude than that produced by noncultured C57 cells. The magnitude of the augmented GVH reaction produced by cultured C57 cells is dependent on the source of lymphoid cells: lymph node, spleen, and bone marrow cells are consistently more active than cultured thymus cells—the reduced capability of cultured thymus cells to mediate the GVH reaction parallels their reduced ability to transfer allograft immunity. To test whether monolayers, other than macrophages, can sensitize lymphoid cells in vitro we incubated C57 lymphoid cells on C3H-derived L cells. Lymph node cells incubated with L cells demonstrate an increased GVH reaction in newborn mice. The in vitro sensitization of spleen and bone marrow cells on L cells is less consistent. Thymus cannot be sensitized by L cells. Monolayers of L cells are therefore not as efficient a sensitizing source as macrophages.     

15-ketoprostaglandin delta13 reductase from human placenta: purification, kinetics, and inhibitor binding.

An NADH-dependent 15-ketoprostaglandin Δ¹³ reductase has been purified to near homogeneity from human placenta by a procedure which includes affinity chromatography on blue Sepharose. The enzyme utilizes as substrates 15-ketoprostaglandins of the E, F, A, and B series, and the reaction is experimentally irreversible. Molecular weight estimations on Sephadex G-100 and sodium dodecyl sulfate disc gel electrophoresis suggest that the enzyme is a dimer. The subunits appear to be similar in size if not identical and have a molecular weight of 35,000. The mechanism of the reaction of 15-ketoprostaglandin E₂ and NADH catalyzed by this enzyme has been investigated by steady-state kinetic methods. The 13,14-dihydro-15-ketoprostaglandin product is an inhibitor of the reaction, being competitive with respect to 15-ketoprostaglandin E₂ and noncompetitive with respect to NADH; NAD⁺ does not inhibit the reaction. NADPH and Cibacron blue 3G-A are “dead-end” inhibitors of the reaction; both act competitively with respect to NADH and noncompetitively with respect to 15-ketoprostaglandin E₂. These observations are consistent with a rapid equilibrium random mechanism with the formation of an unreactive enzyme · NADH · 13,14-dihydro-15-ketoprostaglandin E₂ complex. The interaction of NADPH and Cibacron blue 3G-A with the free enzyme was investigated further by fluorimetry. Both substances bind to the free enzyme and quench its fluorescence. This property was utilized to titrate the enzyme, and a value of 3.28 × 10^?11 mol of binding sites/mU of enzyme was obtained.     

The mixed lymphocyte reaction: selective activation and inactivation of the stimulating cells.

Allogeneic cells pretreated for 48 hr with 2 × 10^?6M ouabain have lost the capacity to show the mixed lymphocyte reaction (MLR). Analysis of various combinations of cells in the one-way MLR revealed that this effect was on the stimulating cells and not on the responding cells. Pretreatment of cells from both donors with 10^?7M ouabain caused no change in incorporation of labeled thymidine into DNA during the first 5 days of mixed lymphocyte culture; thereafter, as incorporation by the controls declined, that of the pretreated cells continued to increase. This effect was also on the stimulating cells and not on the responders. The irreversible effects of ouabain are thus either to activate or inactivate the stimulating cells depending on the concentration of the drug; there is little or no effect on the responding cells.     

A simple isotope derivative assay for prostaglandins and prostaglandin metabolites. I. Assay of e-type prostaglandins.

Prostaglandins of the E series may be reduced with [³H]borohydride to their corresponding counterparts of the F series: during reduction a tritium label is incorporated into the molecule. We describe a simple assay based on this reaction which can be used to measure E-type prostaglandins, and with slight modifications, to measure F-, A-, and D-type prostaglandins, as well as the 15-keto and 13,14-dihydro-15-keto metabolites. The assay will estimate 1–10 ng PGE compounds (～10^?11–10^?12 moles) but some prior purification of the sample is necessary.     

Mathematical modelling of dynamics and control in metabolic networks. I. On Michaelis-Menten kinetics

As a starting point for modeling of metabolic networks this paper considers the simple Michaelis-Menten reaction mechanism. After the elimination of diffusional effects a mathematically intractable mass action kinetic model is obtained. The properties of this model are explored via scaling and linearization. The scaling is carried out such that kinetic properties, concentration parameters and external influences are clearly separated. We then try to obtain reasonable estimates for values of the dimensionless groups and examine the dynamic properties of the model over this part of the parameter space. Linear analysis is found to give excellent insight into reaction dynamics and it also gives a forum for understanding and justifying the two commonly used quasi-stationary and quasi-equilibrium analyses. The first finding is that there are two separate time scales inherent in the model existing over most of the parameter space, and in particular over the regions of importance here. Full modal analysis gives a new interpretation of quasi-stationary analysis, and its extension via singular perturbation theory, and a rationalization of the quasi-equilibrium approximation. The new interpretation of the quasi-steady state assumption is that the applicability is intimately related to dynamic interactions between the concentration variables rather than the traditional notion that a quasi-stationary state is reached, after a short transient period, where the rates of formation and decomposition of the enzyme intermediate are approximately equal. The modal analysis reveals that the generally used criterion for the applicability of quasi-stationary analysis that total enzyme concentration must be much less than total substrate concentration, et much less than St, is incomplete and that the criterion et much less than Km much less than St (Km is the well known Michaelis constant) is the appropriate one. The first inequality (et much less than Km) guarantees agreement over the longer time scale leading to quasi-stationary behavior or the applicability of the zeroth order outer singular perturbation solution but the second half of the criterion (Km much less than St) justifies zeroth order inner singular perturbation solution where the substrate concentration is assumed to be invariant. Furthermore linear analysis shows that when a fast mode representing the binding of substrate to the enzyme is fast it can be relaxed leading to the quasi-equilibrium assumption. The influence of the dimensionless groups is ascertained by integrating the equations numerically, and the predictions made by the linear analysis are found to be accurate.(ABSTRACT TRUNCATED AT 400 WORDS)     

Limiting laws and counterion condensation in polyelectrolyte solutions: V. Further development of the chemical model

Counterion binding to polyelectrolyte chains is formulated as a chemical reaction M^z(free) → M^z(bound). Expressions for the chemical potentials of free and bound counterions are set equal to obtain the reaction equilibrium. The results are equivalent to those in the previous paper of this series. An additional result obtained here is that a polyion holds its bound counterion layer with a strength on the order of 100 $\text{kcal}\text{(mole cooperative unit)}$. The method is then applied to the calculation of the polarizability along the chain due to the bound (condensed) counterions.     

The effect of halides on the equilibrium and reactivity of aspartate aminotransferase.

For the pork heart, extramitochondrial aspartate aminotransferase (EC 2.6.1.1), the “half-reaction” equilibrium, amino acid + phosphopyridoxal enzyme ? keto acid + phosphopyridoxamine enzyme, is displaced in favor of the phosphopyridoxamine enzyme by the addition of halide ions. The order of effectiveness is I^? > Br^? > Cl^? > F^?. A kinetic analysis of this equilibrium with alanine and pyruvate as substrates showed that halide ions (0.01–0.1 m) both increase the rate of the forward reaction and decrease the rate of the reverse reaction. Chloride ions decrease the rate of the reverse reaction by competitively inhibiting the formation of an intermediate enzyme-pyruvate complex. The rate of the forward reaction is proportional to the alanine concentration up to 0.5 m alanine, indicating that the initial combination of alanine with the enzyme is the rate-limiting step in this direction. The activation by anions must therefore involve the initial binding of the substrates to the enzyme. Chloride ions also cause a marked activation of the enzyme in the presence of glutarate by displacing the inhibitory glutarate from the enzyme. These results indicate that some enzyme activations may be due to relieving a preexisting inhibition by ligand substitution reactions. The finding that aspartate aminotransferase has an anion-sensitive “half-reaction” equilibrium, or redox potential, suggests that transaminases may function in both active and passive transport of anions across membranes.     

The Reaction of Pt-Antitumor Drugs with Selected Nucleophiles.: II. Preparation and Characterization of Coordination Compounds of Pt(II) andl-Histidine

Various His-Pt(II) coordination compounds were prepared by reaction of K₂PtCl₄ or cis-[Pt(NH₃)₂Cl₂](cis-DDP) with His and analyzed by ¹H and ¹³C NMR spectroscopy, electrophoresis, and ion-exchange chromatography. His may be coordinated to Pt by the imidazol iminogroup and/or the α-aminogroup; the carboxy group remains always free. Both bidentate as well as monodentate ligands were identified. Cis-DDP reacts with His to give a mixture of compounds where all these possibilities are present: cis-diamine-(histidine-N,N-)Pt(II) and three different types of cis-diammine-bis(histidine). HCl trans cleavage of compounds with bidentate His ligands leads to a mixture of two compounds having His ligated to Pt by an amino or imin group. The methods applied are suitable for analyzing reactions of His with cis-DDP under model conditions similar to physiological conditions.     

Chronic graft-versus-host disease (GVHD) as a model for scleroderma. I. Description of model systems

A model murine system of chronic graft-versus-host disease (GVHD) was explored to determine its suitability for studying scleroderma-like syndromes. The basic protocol was to inject lymphoid cell suspensions into irradiated semiallogeneic or allogeneic recipients which had been irradiated. Serial body weights, skin biopsies, and anti-nuclear antibodies were followed. Changes seen in the skin included increased collagen deposition, a mononuclear infiltrate deep in the dermis, loss of dermal fat, and "dropout" of skin appendages such as hair follicles. Body weight loss was a sensitive index of GVHD. Anti-nuclear antibodies occurred at times, but did not correlate with the tissue changes in the skin of mice undergoing GVHD. This chronic GVHD syndrome was produced across major and minor histocompatibility barriers. The most consistent findings were seen in BALB/c recipients of B10.D2 cells. These strains are nonreactive in unprimed mixed-leukocyte cultures. This combination represents primarily a GVH reaction against minor antigens where the HVG reaction is suppressed by irradiation. Some data suggest that the cutaneous changes may be reversible with time.