The hypoxanthine transporter of Novikoff rat hepatoma cells exhibits directional symmetry and equal mobility when empty or substrate-loaded

The kinetics of hypoxanthine transport were measured in hypoxanthine phosphoribosyltransferase-deficient Novikoff cells by rapid kinetic techniques applying both zero-trans and equilibrium exchange protocols. The data indicate operation of a simple carrier with directional symmetry and equal mobility when substrate loaded and empty. Zero-trans influx and efflux were about equivalent and so were zero-trans influx and equilibrium exchange flux. The apparent Michaelis-Menten constant and maximum velocity were about 500 μM and 100 pmol/s per μl cell H₂O, respectively. The time courses of accumulation of radioactively labeled hypoxanthine at a concentration above the Michaelis-Menten constant differed noticeably in zero-trans and equilibrium exchange mode, but computer simulations showed that the difference is predicted by the symmetrical carrier model and does not reflect trans-stimulation.     

The transport of chloroquine across human erythrocyte membranes is mediated by a simple symmetric carrier

The kinetic properties of the mediated transport of chloroquine in human erythrocytes are investigated. The high rates of translocation across the cell membrane and high adsorbance properties to glass surfaces have led to the development of new techniques for measuring initial rates of transport. Three different methodological procedures are used to accomplish a complete kinetic characterization of the system. All measurements were done at 25°C. Under zero-trans conditions the system displays complete symmetry, the Michaelis constants being 39.2±2.4 μM for influx and 36.6±5.6 μM for efflux. The respective maximal velocities are 206.4±36.0 μM·min^?1 and 190.0±7.8 μM·min^?1. Under equilibrium-exchange conditions the Michaelis constant is 108.6±15.6 μM and the maximal velocity is 630.3±50.4 μM·min^?1. This 3-fold increase in both K and V over the zero-trans values indicates that the rate-limiting step in the transport of chloroquine is the movement of the unloaded carrier. The kinetic data are consistent with the prediction of a simple carrier model.     

Effect of sulfhydryl reagents on nucleoside transport in cultured mammalian cells

Incubation of Novikoff rat hepatoma cells; mouse L929, P388 and L1210 cells; and Chinese hamster ovary cells with sulfhydryl reagents, such as p-hydroxymercuribenzoate or p-hydroxymercuribenzenesulfonate, reduced the zero-trans influx of uridine in a concentration-dependent manner. The sensitivity of uridine transport to inhibition varied somewhat for the cell lines, Chinese hamster ovary cells being the most sensitive. Maximum inhibition by p-hydroxymercuribenzoate occurred in 10–20 min of incubation at 37 °C, and was associated with a decrease in maximum transport velocity without significant change in substrate affinity of the carrier. The development of inhibition of uridine influx correlated with binding of [¹⁴C]p-hydroxymercuribenzoate to the cells. Inhibition of transport also roughly correlated with a decreased binding of 6-nitrobenzylthioinosine to high-affinity binding sites on the cells (presumably representing the nucleoside transporter) without affecting binding affinity. Treatment of cells with p-hydroxymercuribenzenesulfonate reduced uridine influx and efflux to a similar extent. Inhibition of uridine transport and binding of [¹⁴C]p-hydroxymercuribenzoate were readily reversed by incubation of the cells with dithiothreitol. The results indicate that sulfhydryl groups are essential for the functioning of the nucleoside transporter, perhaps for the binding of substrate. Blockage of the sulfhydryl groups results in a reversible inactivation of the carrier. Treatment of the cells with the sulfhydryl reagents also caused a concentration-dependent increase in cell volume, which was readily reversed by incubation of the cells with dithiothreitol but seemed unrelated to the inhibition of nucleoside transport.     

In Silico Kinetic Study of the Glucose Transporter

Glucose transport in plasma membranes is the prototypic example of facilitated diffusion through biological membranes, and transport in erythrocytes is the most widely studied. One of the oldest and simplest models describing the kinetics of the transport reaction is that of alternating conformers, schematized in a cycle of four partial reactions where glucose binds and dissociates at two opposite steps, and the transporter undergoes transconformations at the other two opposite steps. The transport kinetics is entirely defined by the forward and backward rate constants of the partial reactions and the glucose and transporter concentrations at each side of the membrane, related by the law of mass action. We studied, in silico, the effect of modifications of the variables on the transient kinetics of the transport reaction. The simulations took into account thermodynamic constraints and provided results regarding initial velocities of transport, maximal velocities in different conditions, apparent influx and efflux affinities, and the turnover number of the transporter. The results are in the range of those experimentally reported. Maximal initial velocities are obtained when the affinities of the ligand for the transporter are the same at the extra- and intracellular binding sites and when the equilibrium constants of the transconformation steps are equal among them and equal to 1, independently of the obvious effect of the increase of the rate constant values. The results are well adjusted to Michaelis–Menten kinetics. A larger initial velocity for efflux than for uptake described in human erythrocytes is demonstrated in a model with the same dissociation constants at the outer and inner sites of the membrane. The larger velocities observed for uptake and efflux when transport occurs towards a glucose-containing trans side can also be reproduced with the alternating conformer model, depending on how transport velocities are measured.     

The relationship between substrate dissociation constants derived from transport experiments and from equilibrium binding assays. Implications of the conventional carrier model

A kinetic analysis of substrate and inhibitor binding, based on the conventional carrier model, leads to the following conclusions. The substrate constant derived from equilibrium binding studies is not a simple dissociation constant; rather, it is identical to the half-saturating substrate concentration for equilibrium exchange transport, which is a function of both the dissociation constant and the rate constants for carrier reorientation. In general, binding and transport constants are identical, assuming the same substrate distribution across the membrane in the two experiments. Binding studies reveal only a single substrate site--even if the carrier is unsymmetrical, with different substrate affinities on the two sides of the membrane. The binding constants for inhibitors are identical to the inhibition constants found in transport. These rules, which apply to a carrier imbedded in the cell membrane or free in solution, offer a means of deciding whether an isolated carrier retains the properties of the intact system.     

Some kinetic and regulatory properties of the pea mitochondrial pyruvate dehydrogenase complex

The pyruvate dehydrogenase complex was isolated, partially purified, and characterized from green pea (Pisum sativum L., cv Little Marvel) leaf mitochondria. The pH optimum for the overall reaction was 7.6. The divalent cation requirement was best satisfied by Mg²⁺. Reaction velocity was maximal at 40°C. Pyruvate was a better substrate than 2-oxo-butyrate; other 2-oxo-acids were not substrates. Michaelis constants for substrates were; pyruvate, 57 micromolar; NAD, 122 micromolar; Coenzyme-A, 5 micromolar; Mg²⁺, 0.36 millimolar; Mg-thiamine pyrophosphate, 80 nanomolar. The products, NADH and acetyl-Coenzyme-A, were linear competitive inhibitors with respect to NAD and Coenzyme A. Inhibition constants were 18 and 10 micromolar, respectively. Glyoxylate inhibited complex activity only in the absence of thiol reagents. Glyoxylate inhibition was competitive with respect to pyruvate with an inhibition constant of 51 micromolar. Among mitochondrial metabolites examined as potential effectors, only ADP with an inhibition constant of 0.57 millimolar could be of physiological significance.     

An analysis of the adequacy of the asymmetric carrier model for sugar transport

In 1972, Lieb, W. R.; Stein, W. D. (Biochim. Biophys. Acta 265, 187–207) in their review of sugar transport in human erythrocytes concluded that the conventional two-state carrier model was inconsistent with the experimental data available at that time. Since then, other papers have appeared which question the validity of the model. In this paper, we give a brief derivation of the equations describing the two-state carrier model, and analyze the predictions of the model in the classical experiments, i.e. zero-trans, infinite-cis, and equilibrium exchange. We show that the estimate of the half saturatiion constant of 2.8 mM for glucose at the inner face of the human red cell membrane for the infinite-cis procedure reported by Hankin, B. L., Lieb, W. R. and Stein, W. D ((1972) Biochim. Biophys. Acta 288, 114–126) is unreliable. We note that all of the other experimental findings are consistent with the asymmetric carrier model.     

The pH dependence of exchange transport of glucose in human erythrocytes

In glucose exchange transport into red blood cells the rate of glucose uptake showed two pH dependent maxima, with the larger at approximately pH 7.5 and the smaller one at pH 3. In the studied pH range the relation between the rate of glucose uptake and the substrate concentration followed Michaelis-Menten kinetics. While the maximal velocity (V) reflected the pH changes of the media, the Michaelis constant (K_m) remained constant. The dissociation constants of the groups of the free carrier and the carrier-glucose complex were the same. The pK of the acidic group was 5.2 and of the basic group 9.5. Glucose was not bound to groups of the carrier which dissociated protons in the pH range of three to nine. By rearranging the equation for the pH dependence of the relative influx a more definitive graphic determination of the pK values was produced.     

Theoretical analysis of intrinsic reaction kinetics and the behavior of immobilized enzymes system for steady-state conditions

Mathematical modeling of immobilized enzymes under different kinetics mechanism viz. simple Michaelis–Menten, uncompetitive substrate inhibition, total competitive product inhibition, total non-competitive product inhibition and reversible Michaelis–Menten reaction are discussed. These five kinetic models are based on reaction diffusion equations containing non-linear terms related to Michaelis–Menten kinetics of the enzymatic reaction. Modified Adomian decomposition method is employed to derive the general analytical expressions of substrate and product concentration for all these five mechanisms for all possible values of the parameters Φ_S (Thiele modulus for substrate), Φ_P (Thiele modulus for product) and α (dimensionless inhibition degree). Also we have presented the general analytical expressions for the mean integrated effectiveness factor for all values of parameters. Analytical results are compared with the numerical results and also with the limiting case results, which are found to be good in agreement.     

Concentrative accumulation of choline by human erythrocytes

Influx and efflux of choline in human erythrocytes were studied using ¹⁴C-choline. When incubated at 37°C with physiological concentrations of choline erythrocytes concentrate choline; the steady-state ratio is 2.08 ± 0.23 when the external choline is 2.5 µM and falls to 0.94 ± 0.13 as the external concentration is raised to 50 µM. During the steady state the influx of choline is consistent with a carrier system with an apparent Michaelis constant of 30 x 10^-6 and a maximum flux of 1.1 µmoles per liter cells per min. For the influx into cells preequilibrated with a choline-free buffer the apparent Michaelis constant is about 6.5 x 10^-6 M and the maximum flux is 0.22 µmole per liter cells per min. At intracellular concentrations below 50 µmole per liter cells the efflux in the steady state approximates first order kinetics; however, it is not flux through a leak because it is inhibited by hemicholinium. Influx and efflux show a pronounced exchange flux phenomenon. The ability to concentrate choline is lost when external sodium is replaced by lithium or potassium. However, the uphill movement of choline is probably not coupled directly to the Na⁺ electrochemical gradient.     

A general kinetic analysis of transport Tests of the carrier model based on predicted relations among experimental parameters

The analysis of transport kinetics has lacked both a unified treatment in which general rate equations are written entirely in terms of experimental parameters, and a convention by which these parameters may be designated in a concise yet immediately recognizable manner. Such a treatment is presented here in an easily accessible form, and a simple system of nomenclature is proposed resembling that in use in enzyme kinetics. The treatment is independent of assumptions about rate-limiting steps in transport, and applies to both active and facilitated systems, including obligatory exchange. A single substrate is characterized by twelve different parameters, only five of which are required in theory to calculate the others. If a second substrate is present on the trans side of the membrane there are six more parameters. All eighteen parameters are linked by multiple relationships which provide a complete set of rejection criteria for the generalized form of the mobile carrier. Relationships among parameters are also defined that give information on the rate-limiting steps in transport. Equations governing any individual experiment, involving only experimental parameters, are easily written out from the general expressions, for example under conditions of zero trans and infinite trans flux, equilibrium exchange, or competitive inhibition.     

The synthesis of 8-(6-aminohexyl)-amino-GMP and its applications as a general ligand in affinity chromatography.

The steady-state kinetic behaviors of the five rabbit adrenal norepinephrine N-methyl transferase isozymes have been compared with particular reference to substrate inhibition patterns. Four distinct substrate inhibition patterns were observed. The E-1 isozyme was not subject to inhibition by either substrate, while the E-2 isozyme was inhibited by both substrates. The E-3 and E-4 isozymes were inhibited by norepinephrine only, while E-5 is inhibited only by S-adenosylmethionine. The substrate inhibition constants were sufficiently small in relation to the Michaelis constants to make substrate inhibition an important factor in regulation of activities of the isozymes.     

Asymmetry of the Na+-succinate cotransporter in rabbit renal brush-border membranes

We have investigated the symmetry of Na⁺-succinate cotransport in rabbit renal brush-border membrane vesicles. Succinate influx and efflux kinetics were measured under voltage-clamped conditions using [¹⁴C]succinate and a rapid filtration procedure. Both influx and efflux were Na⁺-dependent, saturable, temperature-sensitive, and influenced by the trans Na⁺ and succinate concentrations. The system was judged to be asymmetric, since the maximal velocity for influx was 3-fold higher than that for efflux, and trans Na⁺ inhibited influx more than efflux. This may be due to the asymmetrical insertion of the transporter in the brush-border membrane, which leads to differences in either the forward and backward translocation rates of the fully loaded carrier or the Na⁺ and succinate binding constants at the inner and outer faces of the membrane.     

The efflux of l-carnitine from cells in culture (CCL 27)

The efflux of l-[³H]carnitine was studied in cells from an established cell line from human heart (Girardi human heart cells, CCL 27). The cells were loaded with 4 μmol/l l-[³H]carnitine for 1 or 24 h, and the efflux of radioactivity into the medium was measured. The amount of intracellular l-[³H]carnitine retained was expressed as a function of time. The results were fitted to an exponential equation, from which efflux rate constants were computed.Increasing the extracellular concentration of butyrobetaine, l-carnitine, d-carnitine, betaine, dl-norcarnitine or 3-dimethylamino-2-hydroxypropionic acid each increased the observed efflux. This is most likely due to accelerated exchange diffusion. The substrate specificity of this accelerated exchange diffusion is different from what previously has been found in competitive uptake studies of l-carnitine. l-Carnitine was preferentially released to l-acetylcarnitine, and blocking the sulfhydryl groups with 5,5-dithiobis(2-nitrobenzoic acid) increased the efflux.     

Estimating Kinetic Parameters when the Amount of Enzyme Added to an Assay Is Not a Controlled Variable: NITROGENASE ACTIVITY OF INTACT LEGUMES

Reliable estimates of Michaelis constants (K_m) and inhibitor constants may be obtained, in the absence of control over the amount of enzyme being added to any assay system, provided the following constraints are met. Michaelis-Menten kinetics are obeyed. Two rate measurements must be made with the same sample of enzyme: at low and high substrate concentration for determining K_m or minus and plus an inhibitor for determining inhibitor constants. The Michaelis constant may be calculated from the equation [Formula: see text] Inhibitor constants are derived graphically from Lineweaver-Burk or Dixon plots, once the K_m has been calculated. The above technique has been applied to study of the acetylene-reducing ability of intact legume plants. The apparent K_m for acetylene reduction by nitrogenase in legume nodules is ~1/100 atmosphere in the absence of nitrogen and ~1/40 atmosphere in its presence.     

Effects on transport of rapidly penetrating,competing substrates: Activation and inhibition of the choline carrier in erythrocytes by imidazole

Summary The properties of the choline transport system are fundamentally altered in saline solution containing 5mm imidazole buffer instead of 5mm phosphate: (i) The system no longer exhibits accelerated exchange. (ii) Choline in the external compartment fails to increase the rate of inactivation of the carrier by N-ethylmaleimide. (iii) Depending on the relative concentrations of choline and imidazole, transport may be activated or inhibited. The maximum rates are increased more than fivefold by imidazole, but at moderate substrate concentrations activation is observed with low concentrations of imidazole and inhibition with high concentrations. (iv) The imidazole effect is asymmetric, there being a greater tendency to activate exit than entry. All this behavior is predicted by the carrier model if imidazole is a substrate of the choline carrier having a high maximum transport rate but a relatively low affinity, and if imidazole rapidly enters the cell by simple diffusion, so that it can add to carrier sites on both sides of the membrane. Addition at thecis side inhibits, and at thetrans side activates. According to the carrier model, asymmetry is a necessary consequence of the potassium ion gradient in red cells, potassium ion being another substrate of the choline system.     

Amino acid accumulation in frog muscle: I. Steady-state glycine accumulation at o °C

Glycine is not significantly metabolized by frog muscle maintained at o °C in vitro. Nevertheless, in this preparation steady-state levels of [¹⁴C]glycine as high as 20 times the external concentration are attained after 3–6 days at o °C. The concentration gradient at the steady state depends on the external concentration, being highest at low external concentrations (approx. 0.1 mM) and reversed at external concentrations above 10 mM.A plot of the steady-state cellular levels of glycine vs the external concentration reveal linear and saturable components. The linear fraction has an average distribution ratio of 0.54 indicating that glycine is partially excluded from the muscle water at this temperature.Efflux of labeled glycine at o °C from previously loaded frog muscle follows first-order kinetics. The rate constant increases with increasing concentrations of glycine in the external medium (efflux facilitation).The steady-state results are shown to be consistent with an adsorption model for amino acid accumulation as well as a model in which amino acid enters the cell via a carrier and exits via a bidirectional leakage pathway. A model in which efflux proceeds through the carrier does not fit the data. This indicates that an alternative to exchange diffusion is needed to explain the observed efflux facilitation.     

An algebraic model for the kinetics of covalent enzyme inhibition at low substrate concentrations

This article describes an integrated rate equation for the time course of covalent enzyme inhibition under the conditions where the substrate concentration is significantly lower than the corresponding Michaelis constant, for example, in the Omnia assays of epidermal growth factor receptor (EGFR) kinase. The newly described method is applicable to experimental conditions where the enzyme concentration is significantly lower than the dissociation constant of the initially formed reversible enzyme–inhibitor complex (no “tight binding”). A detailed comparison with the traditionally used rate equation for covalent inhibition is presented. The two methods produce approximately identical values of the first-order inactivation rate constant (k_inact). However, the inhibition constant (K_i), and therefore also the second-order inactivation rate constant k_inact/K_i, is underestimated by the traditional method by up to an order of magnitude.     

The regulation of lactate dehydrogenase activity in soy-bean seedlings

An electrophoretically homogeneous lactate dehydrogenase was isolated from soybean seedlings, the specific activity of which was approximately 1800 times higher than the crude extract. From the dependence of the rate of reaction catalyzed by lactate dehydrogenase on substrate concentration, Michaelis constants and Hill coefficients were determined for four natural substrates,i.e. lactate, pyruvate, NAD and NADH. The enzyme from soy-bean plants is non-competitively inhibited by oxalate and mesoxalate,i.e. by the compounds analogous to the substrate. At pyruvate concentrations above 0.8 mM, the rate of reaction catalyzed by lactate dehydrogenase from soy-bean plants decreases, fructose diphosphate and ATP function as inhibitors as well. The inhibition by ATP is pH dependent, which seems to be of importance for the regulation of enzyme activityin vivo.     

Analysis of protein-mediated 3-O-methylglucose transport in rat erythrocytes: rejection of the alternating conformation carrier model for sugar transport

3-O-Methylglucose (3OMG) transport in rat erythrocytes (RBCs) is mediated by a low-capacity, facilitated diffusion-type process. This study examines whether the characteristics of sugar transport in rat RBCs are consistent with the predictions of two diametric, theoretical mechanisms for sugar transport. The one-site carrier describes a transport mechanism in which sugar influx and efflux substrate binding sites are mutually exclusive. The two-site carrier describes a transport mechanism in which sugar influx and efflux substrate binding sites can exist simultaneously but may interact in a cooperative fashion when occupied by substrate. Michaelis and velocity parameters for saturable 3OMG transport in rat erythrocytes at 24 degrees C were obtained from initial rate measurements of 3OMG transport. The results are incompatible with the predictions of the one-site carrier but are consistent with the predictions of a symmetric two-site carrier, displaying negligible cooperativity between substrate binding sites. This allows reduction of the two-site carrier transport equations to a form containing fewer constants than the one-site carrier equations without limiting their predictive success. While the available evidence does not prove that rat erythrocyte sugar transport is mediated by a two-site mechanism, we conclude that adoption of the formally more complex one-site model for sugar transport in rat erythrocytes is unnecessary and unwarranted. Counterflow experiments have also been performed in which the time course of radiolabeled 3OMG uptake is measured in cells containing saturating levels of 3OMG. The results of these experiments are consistent with the hypothesis [Naftalin et al. (1985) Biochim. Biophys. Acta 820, 235-249] that exchange of sugar between intracellular compartments (cell water and hemoglobin) can be rate limiting for transport under certain conditions.