Current trends in the estimation of Michaelis-Menten parameters

Kinetics of the enzyme titration process by reversible modifiers

The effect of reversible modifiers on the initial rate of enzyme catalysed reactions has been investigated in a quasi-equilibrium approximation using the general modifier mechanism of Botts and Morales. It has been shown that, when investigating the dependence of the initial rate on the modifier concentration at a fixed substrate concentration, the kinetics of enzyme titration by reversible modifiers can generally be described using two kinetic constants. Just as the dependence of the initial rate on the substrate concentration (at a fixed modifier concentration) is described using two kinetic constants: the Michaelis constant Km and the limiting rate Vm. Only one constant M50 is needed to describe the kinetics of linear inhibition, and in the case of nonlinear inhibition and activation, along with M50 the constant QM is also needed. Knowing the values of the constants M50 and QM, it is possible to unambiguously determine the modification efficiency, that is, to calculate how many times the initial rate of the enzyme catalysed reaction will change when a certain modifier concentration is added to the incubation medium. The properties of these fundamental constants have been analysed in detail and the dependence of these constants on other parameters of the Botts-Morales model have been shown. Equations describing the dependence of relative reaction rates on the modifier concentration using these kinetic constants are presented. Various ways of linearising these equations for calculating the kinetic constants M50 and QM from experimental data are also presented.

Thermodynamic principle to enhance enzymatic activity using the substrate affinity

Understanding how to tune enzymatic activity is important not only for biotechnological applications, but also to elucidate the basic principles guiding the design and optimization of biological systems in nature. So far, the Michaelis-Menten equation has provided a fundamental framework of enzymatic activity. However, there is still no concrete guideline on how the parameters should be optimized towards higher activity. Here, we demonstrate that tuning the Michaelis-Menten constant ([Formula: see text]) to the substrate concentration ([Formula: see text]) enhances enzymatic activity. This guideline ([Formula: see text]) was obtained mathematically by assuming that thermodynamically favorable reactions have higher rate constants, and that the total driving force is fixed. Due to the generality of these thermodynamic considerations, we propose [Formula: see text] as a general concept to enhance enzymatic activity. Our bioinformatic analysis reveals that the [Formula: see text] and in vivo substrate concentrations are consistent across a dataset of approximately 1000 enzymes, suggesting that even natural selection follows the principle [Formula: see text].

Distinct Catalytic Behaviors between Two 1,4-Dioxane-Degrading Monooxygenases: Kinetics, Inhibition, and Substrate Range

Monitored natural attenuation (MNA) and engineered bioremediation have been recognized as effective and cost-efficient in situ treatments to mitigate 1,4-dioxane (dioxane) contamination. Dioxane metabolism can be initiated by two catabolic enzymes, propane monooxygenase (PRM) and tetrahydrofuran monooxygenase (THM), belonging to the group-6 and 5 of soluble di-iron monooxygenase family, respectively. In this study, we comprehensively compared catalytic behaviors of PRM and THM when individually expressed in the heterologous host, Mycobacterium smegmatis mc²-155. Kinetic results revealed a half-saturation coefficient (K_m) of 53.0 ± 13.1 mg/L for PRM, nearly 4 times lower than that of THM (235.8 ± 61.6 mg/L), suggesting that PRM has a higher affinity to dioxane. Exposure with three common co-contaminants (1,1-dichloroethene, trichloroethene, and 1,1,1-trichloroethane) demonstrated that PRM was also more resistant to their inhibition than THM. Thus, dioxane degraders expressing PRM may be more physiologically and ecologically advantageous than those with THM at impacted sites, where dioxane concentration is relatively low (e.g., 250 to 1000 μg/L) with co-occurrence of chlorinated solvents (e.g., 0.5 to 8 mg/L), underscoring the need of surveying both PRM and THM-encoding genes for MNA potential assessment. PRM is also highly versatile, which breaks down cyclic molecules (dioxane, tetrahydrofuran, and cyclohexane), as well as chlorinated and aromatic pollutants, including vinyl chloride, 1,2-dichloroethane, benzene, and toluene. This is the first report regarding the ability of PRM to degrade a variety of short-chain alkanes and ethene in addition to dioxane, unraveling its pivotal role in aerobic biostimulation that utilizes propane, isobutane, or other gaseous alkanes/alkenes (e.g., ethane, butane, and ethene) to select and fuel indigenous microorganisms to tackle the commingled contamination of dioxane and chlorinated compounds.

A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails

The Michaelis-Menten reaction scheme is among the most influential models in the field of biochemistry, since it led to a very popular expression for the rate of an enzyme-catalysed reaction. After the realisation that this expression is valid in a limited region of the parameter space, two additional expressions were later introduced. The range of validity of these three expressions has been studied thoroughly, since the significance of a reliable rate is not based only on the accuracy of its predictive abilities but also on the physical insight that is acquired in the process of its construction. Here a new expression for the rate is introduced that is valid in practically the full parameter space and reduces to the expressions in the literature, when considering appropriate limits. The new expression is produced by employing algorithmic tools for asymptotic analysis, so that its construction is not hindered by the dimensional form and the complexity of the full model or by a wide parameter range of interest. These tools can be employed for the derivation of enzyme rate expressions of much more complex kinetics mechanisms.

The conserved NxNNWHW motif in Aha-type co-chaperones modulates the kinetics of Hsp90 ATPase stimulation

Hsp90 is a dimeric molecular chaperone that is essential for the folding and activation of hundreds of client proteins. Co-chaperone proteins regulate the ATP-driven Hsp90 client activation cycle. Aha-type co-chaperones are the most potent stimulators of the Hsp90 ATPase activity but the relationship between ATPase regulation and in vivo activity is poorly understood. We report here that the most strongly conserved region of Aha-type co-chaperones, the N terminal NxNNWHW motif, modulates the apparent affinity of Hsp90 for nucleotide substrates. The ability of yeast Aha-type co-chaperones to act in vivo is ablated when the N terminal NxNNWHW motif is removed. This work suggests that nucleotide exchange during the Hsp90 functional cycle may be more important than rate of catalysis.

Kinetics of the viral cycle influence pharmacodynamics of antiretroviral therapy

Background

More and more antiretroviral therapies are being developed for treatment of HIV infection. The in-vivo efficacy of these drugs is commonly predicted based on in-vitro measures of antiviral effect. One primary in-vitro measure is the IC50, the amount of drug required for 50% inhibition of viral replication. We have previously shown that HIV life-cycle kinetics impact clinically observed HIV viral dynamics. Here we present a mathematical model of how they affect the pharmacodynamics of antiretroviral drugs.

Results

We find that experimentally measured antiretroviral IC50s are determined by three factors: (i) intrinsic drug properties (e.g. drug-target binding), (ii) kinetics of the HIV life cycle, and (iii) kinetics of drug-inhibited infected cells. Our model predicts that the IC50 is a declining function of the duration of the drug-susceptible stage in the host cell. We combine our model with known viral life-cycle kinetics to derive a measure of intrinsic properties, reflecting drug action, for known antiretroviral drugs from previously measured IC50s. We show that this measure of intrinsic drug property correlates very well with in vitro-measured antiviral activity, whereas experimentally measured IC50 does not.

Conclusions

Our results have implications for understanding pharmacodynamics of and improving activity of antiretroviral drugs. Our findings predict that drug activity can be improved through co-administration of synergistic drugs that delay the viral life cycle but are not inhibitory by themselves. Moreover, our results may easily extend to treatment of other pathogens.

This article was reviewed by Dr. Ruy Ribeiro, Dr. Ha Youn Lee, Dr. Alan Perelson and Dr. Christoph Adami.

Adaptive control model reveals systematic feedback and key molecules in metabolic pathway regulation

Robust behavior in metabolic pathways resembles stabilized performance in systems under autonomous control. This suggests we can apply control theory to study existing regulation in these cellular networks. Here, we use model-reference adaptive control (MRAC) to investigate the dynamics of de novo sphingolipid synthesis regulation in a combined theoretical and experimental case study. The effects of serine palmitoyltransferase over-expression on this pathway are studied in vitro using human embryonic kidney cells. We report two key results from comparing numerical simulations with observed data. First, MRAC simulations of pathway dynamics are comparable to simulations from a standard model using mass action kinetics. The root-sum-square (RSS) between data and simulations in both cases differ by less than 5%. Second, MRAC simulations suggest systematic pathway regulation in terms of adaptive feedback from individual molecules. In response to increased metabolite levels available for de novo sphingolipid synthesis, feedback from molecules along the main artery of the pathway is regulated more frequently and with greater amplitude than from other molecules along the branches. These biological insights are consistent with current knowledge while being new that they may guide future research in sphingolipid biology. In summary, we report a novel approach to study regulation in cellular networks by applying control theory in the context of robust metabolic pathways. We do this to uncover potential insight into the dynamics of regulation and the reverse engineering of cellular networks for systems biology. This new modeling approach and the implementation routines designed for this case study may be extended to other systems. Supplementary Material is available at www.liebertonline.com/cmb .

Brassinin oxidase mediated transformation of the phytoalexin brassinin: structure of the elusive co-product, deuterium isotope effect and stereoselectivity

Brassinin oxidase, a fungal detoxifying enzyme that mediates the conversion of the phytoalexin brassinin into indole-3-carboxaldehyde, is the first enzyme described to date that catalyzes the transformation of a dithiocarbamate group into an aldehyde equivalent. Brassinin is an essential phytoalexin due to its antifungal activity and its role as biosynthetic precursor of other phytoalexins produced in plants of the family Brassicaceae (common name crucifer). In this report, the isolation, structure determination and synthesis of the elusive co-product of brassinin transformation by brassinin oxidase, S-methyl dithiocarbamate, the syntheses of dideuterated and (R) and (S) monodeuterated brassinins, kinetic analyses of isotope effects and chemical modifications of brassinin oxidase are described. The reaction of [1'-(2)H(2)]brassinin was found to be slowed by a kinetic isotope effect of 5.3 on the value of k(cat)/K(m). This result indicates that the hydride/hydrogen transfer step preceding brassinin transformation is rate determining in the overall reaction. In addition, the use of (R) and (S)-[1'-(2)H]brassinins as substrates indicated that the hydride/hydrogen transfer step is ca. 88% stereoselective for the pro-R hydrogen. A detailed chemical mechanism of the enzymatic transformation of brassinin is proposed.

Interspecies acetate transfer influences the extent of anaerobic benzoate degradation by syntrophic consortia

Benzoate degradation by an anaerobic, syntrophic bacterium, strain SB, in coculture with Desulfovibrio sp. strain G-11 reached a threshold value which depended on the amount of acetate added and ranged from about 2.5 to 29.9 (mu)M. Increasing acetate concentrations also uncompetitively inhibited benzoate degradation. The apparent V(infmax) and apparent K(infm) for benzoate degradation decreased with increasing acetate concentration, but the benzoate degradation capacities (V(infmax)/K(infm)) of cell suspensions remained comparable. The addition of an acetate-using bacterium to cocultures after the threshold was reached resulted in the degradation of benzoate to below the detection limit. Mathematical simulations showed that the benzoate threshold was not predicted by the inhibitory effect of acetate on benzoate degradation kinetics. With nitrate instead of sulfate as the terminal electron acceptor, no benzoate threshold was observed in the presence of 20 mM acetate even though the kinetics of benzoate degradation were slower with nitrate rather than sulfate as the electron acceptor. When strain SB was grown with Desulfovibrio sp. strain DG2 that had a fourfold-lower V(infmax) for hydrogen use than strain G-11, the V(infmax) for benzoate degradation was 37-fold lower than that of strain SB-G-11 cocultures. The Gibb's free energy for benzoate degradation was less negative in cell suspensions with a threshold than in suspensions without a threshold. These studies showed that the threshold was not a function of the inhibition of benzoate degradation by acetate or the toxicity of the undissociated form of acetate. Rather, a critical or minimal Gibb's free energy may exist where thermodynamic constraints preclude further benzoate degradation.

Comparative studies of the interaction between ferulic acid and bovine serum albumin by ACE and surface plasmon resonance

Affinity capillary electrophoresis (ACE) was used to study the interaction between ferulic acid (FA) and BSA. The interaction between FA and BSA was facilitated by injecting FA into a BSA-containing running buffer. Both mobility ratio and mobility shift assays were performed to deduce the binding constant (K(b)). However, the K(b )value obtained with the mobility ratio assay was only approximately 20% of that extracted from the mobility shift assay. The former assay yielded a K(b) value (5.6 +/- 0.4 x 10(4) M(-1)), which compares well with the result obtained with surface plasmon resonance (SPR) (5.1 +/- 0.6 x 10(4) M(-1)). The discrepancy between the mobility ratio and mobility shift assays suggests that the data extrapolation from the mobility ratio should be more reliable for cases when both changes in the EOF and viscosity of the running buffer are important. The work demonstrates that ACE, a solution-based technique, and SPR, a technique addressing interfacial processes, are highly complementary to each other and the comparative studies are confirmatory and allow binding constants to be accurately determined.

Purification and characterization of enzymes exhibiting beta-D-xylosidase activities in stem tissues of Arabidopsis

This work describes the purification and characterization of enzymes that exhibit beta-d-xylosidase activity in stem tissues of Arabidopsis. This is the first detailed investigation that concerns the characterization of catalytic properties and sequence identity of enzymes with beta-D-xylosidase activities in a dicotyledonous plant. Three different enzymes, ARAf, XYL4, and XYL1 with apparent molecular masses of 75, 67, and 64 kD, respectively, were purified to homogeneity. ARAf was identified as a putative alpha-L-arabinofuranosidase, and XYL4 and XYL1 as putative beta-D-xylosidases using matrix-assisted laser-desorption ionization time of flight. ARAf belongs to family 51 and XYL4 and XYL1 to family 3 of glycoside hydrolases. ARAf and XYL1 have highest specificity for p-nitrophenyl-alpha-L-arabinofuranoside and XYL4 for p-nitrophenyl-beta-D-xylopyranoside and natural substrates such as xylobiose and xylotetraose. XYL4 was shown to release mainly D-Xyl from oat spelt xylan, rye arabinoxylan, wheat arabinoxylan, and oligoarabinoxylans. ARAf and XYL1 can also release D-Xyl from these substrates but less efficiently than XYL4. Moreover, they can also release L-Ara from arabinoxylans and arabinan. Overall, the results indicate that XYL4 possesses enzymatic specificity characteristic for a beta-D-xylosidase, while ARAf and XYL1 act as bifunctional alpha-L-arabinofuranosidase/beta-D-xylosidases. Analysis of the activity of these three enzymes in stem tissues at different stages of development has shown that young stems possess the highest activities for all three enzymes in comparison to the activities of the enzymes present in stems at older stages of development. High enzyme activities are most likely related to the necessary modifications of cell wall structure occurring during plant growth.

Determination of apparent binding constants of drugs by capillary electrophoresis using beta-cyclodextrin as ligand and three different linear plotting methods

Capillary electrophoretic estimation of apparent binding constants (Kapp) for naproxen, salbutamol, indomethacine and procaine with beta-cyclodextrin is presented. While with naproxen and indomethacine this approach was straightforward and gave well compatible results by three different linearization plots (double reciprocal, x reciprocal and y reciprocal), with salbutamol a higher value than reported for the electromigration estimation of this magnitude was obtained (a fourfold increase). This difference is ascribed to the fact that the measurements were done in the acid region (while the reported values were obtained at higher pH values). As a matter of fact the values of Kapp, reported in this communication for salbutamol comply better with the value of Kapp (69.3) obtained by the solubility method.

Practical evaluation of the influence of excessive sample concentration on the estimation of dissociation constants with affinity capillary electrophoresis

A practical approach for the evaluation of binding constants with affinity capillary electrophoresis (ACE) is presented using the different linear and nonlinear regression methods. The influence of the sample concentration on the different obtained curves is depicted and it is shown that the different representations should always be compared. The well-known strong molecular interaction between the macrocyclic antibiotic vancomycin and a (D)-Ala-(D)-Ala terminating peptide is used as model in this study.

Kinetics of thermal deactivation of enzymes: a simple three parameters phenomenological model can describe the decay of enzyme activity, irrespectively of the mechanism

Heat induced enzyme inactivation or protein denaturation is now well documented, due to progresses in methods, instruments and computation resources. Complex mechanisms, rather than the classic simple "one step - two states" model (still in use) are recognized in many cases, leading investigators to manipulate more or less complicated kinetic expressions describing the heat induced decay of enzyme activity.We show that the different kinetic expressions related to different mechanisms among the most frequently encountered can be arranged in a common simple three-parameters biexponential equation.This unifying simplification is of interest for people focusing attention to phenomenological rather than mechanistic description of the kinetics of heat induced enzyme deactivation. Moreover, the reduction in the number of parameters reduces the risk of cross-correlation and allows a better estimation of the apparent rate constants (which are in many cases the pertinent required information). It also illustrates the difficulty to make inference of mechanism from kinetics, since the same equation applies for a variety of mechanisms ("kinetic homeomorphism") - in particular, it stresses out the need of caution when reporting on existence of isoenzymes from deactivation kinetics.Application of this simple 3-parameters biexponential kinetic expression has been validated with a number of results in the Literature and current investigations in our laboratory. Two examples are given.

Binding constant dependency of amphetamines with various commercial methylated beta-cyclodextrins

Cyclodextrins play an important role in enantioselective separations. They represent the major class of chiral selectors used by capillary electrophoresis. Unfortunately, the purity of commercial cyclodextrins is often not well characterized, and similar selectors sold by various suppliers may show totally different enantioselectivities. In this study, the composition of several commercial methylated-beta-cyclodextrins is evaluated by means of previously developed analytical methods. Then, different calculation methodologies, such as graphical determinations, as well as nonlinear or linear regression approaches, are evaluated in order to calculate the binding constants of inclusion complexes formed by some amphetamine derivatives with methylated-beta-cyclodextrins. The nonlinear curve-fitting methodology proves to be the most suitable for these determinations. Comparisons are made between the different selectors and several hypotheses are proposed concerning the formation of the inclusion complex. Finally, enantiomeric resolutions are evaluated for these selectors and conclusions drawn about the knowledge of selector composition.

Influence of 5,10-methylenetetrahydrofolate reductase gene polymorphism on plasma homocysteine concentration in patients with end-stage renal disease

The purpose of this study is to observe the influence of the methylenetetrahydrofolate reductase (MTHFR) gene (677C-->T substitution) on plasma homocysteine levels in end-stage renal disease (ESRD) patients who received a relatively large amount of folate (2 mg/d) and are undergoing hemodialysis. A cross-sectional study of plasma homocysteine, vitamin B(12), and folate was performed in patients with ESRD. The study population for the MTHFR gene study included 312 healthy subjects and 106 patients with ESRD undergoing hemodialysis. The C677T transition in the MTHFR gene was detected by HinF 1 restriction enzyme analysis and subsequent electrophoresis in a 3% agarose gel. The genotype of the MTHFR gene in 106 patients with ESRD was homozygous C677T mutation (VV) in 17 patients (16.1%) and heterozygous (AV) in 63 patients (58.4%); 26 patients (24.5%) did not carry this mutation (AA). The mean levels of homocysteine, vitamin B(12), and folate in the patients with ESRD were 23.3 +/- 14.0 mmol/L, 620.2 +/- 98.5 pmol/L, and 138.6 +/- 55.6 nmol/L, respectively. There was no significant difference in homocysteine levels among the three genotypes: 28.2 +/- 19.4 mmol/L for VV, 22.7 +/- 14.9 mmol/L for AV, and 23.4 +/- 11.1 mmol/L for AA genotype (P > 0.05). There was no difference in genotype distribution between the patient groups of less than 25th and greater than 75th percentiles, classified according to plasma homocysteine levels (P = 0.47). In conclusion, with high-dose folate supplementation, the hyperhomocysteinemia in patients with ESRD does not seem to be caused by the 677C-->T mutation in the MTHFR gene.

A homogeneous, fluorescence polarization assay for src-family tyrosine kinases

A nonradioactive, simple, sensitive fluorescence polarization assay was developed to assay protein tyrosine kinase activity. This assay involves incubation of a fluorescenylated peptide substrate with the kinase, ATP, and anti-phosphotyrosine antibody. The phosphorylated peptide product is immunocomplexed with the anti-phosphotyrosine antibody resulting in an increase in the polarization signal as measured in a fluorescence polarization analyzer. Among several anti-phosphotyrosine antibodies examined, monoclonal antibody PY54 was found to give the best polarization signal with the test peptide. For validation of the fluorescence polarization assay, Lck activity was compared with a 32PO4 transfer assay. In both the fluorescence polarization and 32PO4 transfer assays, Lck activity showed a similar dependence on ATP, Lck enzyme, and peptide substrate concentrations. Both assays gave similar inhibition constants with a known tyrosine kinase inhibitor staurosporine and the Lck inhibitor, 4-amino-5-(methylphenyl)-7-(t-butyl)pyrazolo[3,4-d]pyrimidine. These results show that the fluorescence polarization assay can detect inhibitors and is comparable to the 32PO4 transfer assay. The fluorescence polarization method is advantageous compared to the 32PO4 transfer assay or ELISA or DELFIA because it is a one-step assay that does not involve several washings, liquid transfer, and sample preparation steps. It has the added advantage of using nonisotopic substrates. The fluorescence polarization assay thus is environmentally safe and minimizes handling problems. The homogeneous nature of the assay makes it readily adaptable to high-throughput screening for small-molecule drug discovery.

Methods for the estimation of binding constants by capillary electrophoresis

Capillary electrophoresis (CE) has developed into a particularly effective means to determine apparent equilibrium constants for molecular association in solution (e.g., to micelles, cyclodextrins, antibiotics, proteins, RNA, DNA, etc.). The various experimental, graphical and mathematical approaches for determining association constants are reviewed. In CE, association constants can be calculated because there is a relationship between substrate concentration and the measured electrophoretic mobility of the solute. Most of the approaches for obtaining association constants by CE are conceptually and mathematically related to one another. Likewise, they are analogous to many spectroscopic techniques that are used for obtaining association constants. The advantages, limitations and proper use of the various CE approaches are examined.

Quantitative description of migration behavior of porphyrins based on the dynamic complexation model in a nonaqueous capillary electrophoresis system

The effect of an additive (Brij 35) on the mobilities of a group of porphyrin acids is quantitatively characterized based on a 1:1 dynamic complexation model. Varying additive concentration shifts the equilibrium and changes the viscosity of the background electrolyte. The equilibrium constant, the electrophoretic mobility of the free analyte, and the electrophoretic mobility of the complex are identified as the parameters necessary to describe the analytes' migration behavior. Several statistical methods for obtaining these parameters are discussed. The equilibrium constants and complex mobilities are calculated using three different linear regression methods. The weighted y-reciprocal method was preferred because it gives smaller error, and the data points are evenly distributed along the concentration axis. These values are confirmed using a nonlinear regression to ensure that the proper weighting was used in the linear regression plots. The parameters are then used to predict the apparent mobilities of the analytes over the entire additive concentration range, allowing the optimum separation conditions to be identified. For disc-like molecules, such as porphyrins, the mobility is determined by the orientation of the molecule in an electric field, in addition to their size and charge. The strength of binding between the porphyrins and Brij 35 depends on the number of binding sites and the solvation shell.

Taurine transport at the blood-brain barrier: an in vivo brain perfusion study

Taurine transport into six brain regions of equithesin-anesthetized rats was studied by the in situ brain perfusion technique. This technique gives both accurate measurements of cerebrovascular amino acid transport and allows complete control of the perfusate amino acid composition. Final wash procedure showed that taurine efflux occurred rapidly from endothelial cells. The taurine influx into endothelial cells was sodium and chloride dependent suggesting that the sodium and chloride gradients are the principal source of energy for taurine transport into endothelial cells. Taurine transport could be fitted by a model with saturable components. The kinetic constants in the parietal cortex were 1.4 x 10(-4) mumol/s/g for the apparent Vmax and 0.078 mM for the apparent Km. Competition experiments in the presence of sodium ions showed that [14C]taurine uptake was strongly inhibited by the structural analogs of taurine, hypotaurine and beta-alanine.

Effect of aging on the kinetics of blood-brain barrier uptake of tryptophan in rats

PURPOSE

The purpose of this investigation was to examine the effect of aging on the blood-brain barrier (BBB) transport of tryptophan.

METHODS

A well established in-situ brain perfusion technique was used to examine brain uptake of 14C-tryptophan in 2-, 12- and 24-month old Sprague-Dawley rats; perfusate tryptophan concentrations ranged from 0.00175 to 2 mM. Uptake data were modeled using non-linear regression analysis.

RESULTS

Permeability-surface area product (PA) for tryptophan was significantly lower in 12- and 24-month old rats, as compared to the 2-month old animals. A transport model consisting of both saturable (Michaelis-Menten type) and non-saturable components best described brain uptake of tryptophan in all 3 age groups. However, age-dependent differences in BBB transport parameters of tryptophan were observed. For the saturable component, both Vmax and Km were significantly lower in the 12- and 24-month old rats, as compared to the youngest group of rats. These results suggest that transporter mobility, number and affinity for tryptophan are altered in older rats. Values for Kd, the rate constant for non-saturable brain tryptophan transport, were also significantly lower in animals of the two older age groups. Interestingly, PA values for thiourea, a compound believed to be transporter across BBB by diffusion, were also lower in these two age groups.

CONCLUSIONS

Aging decreases the ability of the BBB to transport the neutral amino acid tryptophan.

Blood-brain barrier transport of amino acids in healthy controls and in patients with phenylketonuria

Blood-brain barrier permeability to phenylalanine and leucine in four patients with phenylketonuria and in four volunteers was measured five times by the double-indicator method at increasing plasma concentrations of phenylalanine. Based on the permeability-surface area product (PS) from blood to brain (PS1) and on plasma phenylalanine levels, Vmax and the apparent Km for phenylalanine were determined. Statistically significant relationships between plasma phenylalanine and PS1 were established in three out of four volunteers, the average Vmax value being 46.7 nmol/g per min and the apparent Km 0.328 mmol/L. Owing to saturation of the carrier, such a relationship could not be established in the patients. In phenylketonuria, PS1 for phenylalanine and leucine decreased significantly by 55% and 46%, respectively. Transport from brain back to blood, PS2, decreased significantly and cerebral large neutral amino acid net uptake was generally decreased in patients with phenylketonuria. In conclusion, the transport of L-phenylalanine across the human blood-brain barrier follows Michaelis-Menten kinetics. In phenylketonuria, brain permeability to large neutral amino acids is reduced by about 50% and net uptake appears decreased.

Interfacial kinetic reaction of human 5-lipoxygenase

The kinetics of human 5-lipoxygenase were investigated in the presence of Tween 20 using a continuous spectrophotometric assay. Using the mixture at a constant molar ratio of arachidonate/Tween 20 at pH 8.0, the steady-state velocity on a varied arachidonate concentration did not follow simple Michaelis-Menten-type kinetics and double-reciprocal plot analysis gave hyperbolic curves. However, by introducing the concept of a local pH change, it was possible to analyze the kinetics as simple Michaelis-Menten type. The concept of a local pH change implies that when utilizing an acidic and amphiphilic substance as a substrate, such as arachidonate, the medium around the substrate is acidified with an increased concentration of substrate. This concept was explained rationally by two experiments. Consequently, the data were transformed according to a local pH change and analyzed according to a dual phospholipid model as has been proposed for phospholipase A2 [Hendrickson, H. S. and Dennis, E. A. (1984) Kinetic analysis of the dual phospholipid model for phosphalipase A2, J. Biol. Chem. 259, 5734-5739]. It is concluded that 5-lipoxygenase performs an interfacial reaction in the arachidonate/Tween 20 mixed micelles in the same manner as phospholipase A2. The values of Km were almost constant (about 0.07 molar fraction), even when arachidonate molar ratios were changed in the surface of the mixed micelles. The values for Ks (the association constant of the enzyme to the micelle interface) ranged over 0.21-0.48 microM. The Vmax was 25.76 mumol.min-1.mg-1. This concept of a local pH change could be used extensively with enzymes which utilize both amphiphilic and acidic substances as substrates.

Analysis of algebraic weighted least-squares estimators for enzyme parameters

An algorithm for the least-squares estimation of enzyme parameters Km and Vmax. is proposed and its performance analysed. The problem is non-linear, but the algorithm is algebraic and does not require initial parameter estimates. On a spreadsheet program such as MINITAB, it may be coded in as few as ten instructions. The algorithm derives an intermediate estimate of Km and Vmax. appropriate to data with a constant coefficient of variation and then applies a single reweighting. Its performance using simulated data with a variety of error structures is compared with that of the classical reciprocal transforms and to both appropriately and inappropriately weighted direct least-squares estimators. Three approaches to estimating the standard errors of the parameter estimates are discussed, and one suitable for spreadsheet implementation is illustrated.

Intestinal absorption of magnesium from food and supplements

The purpose of this study was to measure magnesium absorption over the wide range of intakes to which the intestine may be exposed from food and/or magnesium-containing medications. Net magnesium absorption was measured in normal subjects after they ingested a standard meal supplemented with 0, 10, 20, 40, and 80 mEq of magnesium acetate. Although absorption increased with each increment in intake, fractional magnesium absorption fell progressively (from 65% at the lowest to 11% at the highest intake) so that absorption as a function of intake was curvilinear. This absorption-intake relationship was almost perfectly represented by an equation containing a hyperbolic function plus a linear function. Our results are statistically compatible with a magnesium absorption process that simultaneously uses a mechanism that reaches an absorptive maximum, plus a mechanism that endlessly absorbs a defined fraction (7%) of ingested magnesium. Compared to previous studies of calcium absorption, much less magnesium that calcium was absorbed at intakes above 8 mEq/meal, apparently due to greater restriction of intestinal permeability to magnesium. We also found that magnesium from a high magnesium-containing food source, almonds, was just as bioavailable as from soluble magnesium acetate. In contrast, magnesium absorption from commercially available enteric-coated magnesium chloride was much less than from magnesium acetate, suggesting that enteric coating can impair magnesium bioavailability.

Further characterization of PNK-E: a monoclonal antibody enhancing porcine natural killer cell activity

Monoclonal antibody PNK-E binds to approximately 15% of porcine peripheral blood lymphocytes (PBL) which are PT4 negative and PT8 positive. When cells from tissues of adult pigs are treated with PNK-E, enhancement of natural killer (NK) cell activity is observed from PBL and spleen cells, and a dramatic induction of NK activity is observed from bone marrow cells. With cells derived from tissues of neonatal piglets, PNK-E induces NK activity from PBL and bone marrow cells. To investigate the mechanism of PNK-E-mediated enhancement of NK, proliferation assays, calcium-pulse assays, single-cell assays, and kinetic analyses were performed. PNK-E did not induce proliferation of PBL. PNK-E could be added as late as 30 min prior to termination of Ca(2+)-pulse assays and still enhance NK activity. Using kinetic analysis PNK-E was found to increase the rate of NK lysis (Vmax) and rate of lytic programming per NK cell (k2). In addition, results from single-cell assays indicate that PNK-E activates a population of normally inactive effector cells. These results indicate that PNK-E enhances the lytic capacity of mature NK cells and induces a population of nonlytic cells to become highly cytolytic cells. Furthermore, the enhancing effects are immediate and do not require an induction period. Thus, PNK-E recognizes and activates a unique triggering molecule that is present on NK cells.

Kinetic analysis of human IL-2 activated cytotoxic cells

Kinetic analysis was used to define lytic events in peripheral blood mononuclear cells (PBMC) activated in lymphokine conditioned medium (LCM) and recombinant interleukin-2 (rIL-2). This analysis provided quantitative information on the functional properties of these lymphokine-activated killer (LAK) cells against NK-resistant and NK-sensitive tumor cell lines. The maximum rate of target cell lysis (Vmax) and Km (target cell number resulting in 1/2 Vmax) were determined. IL-2 activated effector cells that bound to target cells also lysed them (i.e., non-lytic bystander lymphocytes did not influence the determination of kinetic parameters) in contrast to lysis mediated by unactivated NK cells. The extent of LAK cell binding to tumor target cells was dependent upon the tumor type. LAK cell frequency determinations were calculated where Km approximated the concentration of LAK cells that were capable of killing a particular target. LAK cells generated in rIL-2 were lytically more efficient than those activated in LCM, and T-depletion resulted in a LAK population with the highest maximum rate of lysis. The use of kinetic analysis to evaluate LAK cell frequencies and quantitate lytic events will be useful in determining the effects of drugs, biological response modifiers and disease states on LAK cell function.

Transport of benzenoid amino acids by system T and four broad scope systems in preimplantation mouse conceptuses

We have studied transport of L-tryptophan, L-tyrosine and L-phenylalanine as factors contributing to homeostasis of these amino acids in preimplantation mouse conceptuses. Benzenoid amino acids were transported by the Na(+)-independent systems L and b0,+ in 1-cell conceptuses, and by these systems plus the Na(+)-dependent systems B0,+ and B in blastocysts. In addition, a component of Na(+)-independent tryptophan, tyrosine and phenylalanine transport in 1-cell and 2-cell conceptuses and in blastocysts resisted inhibition by L-leucine. The latter component of transport not only preferred benzenoid amino acids and in particular tryptophan as substrates, but it also was inhibited strongly and competitively by alpha-N-methyl-L-tryptophan. The leucine-resistant component of tryptophan transport also was inhibited strongly by N-ethylmaleimide and D-tryptophan, and it appeared to be inhibited weakly by 3-amino-endo-bicyclo[3.2.1]octane-3-carboxylic acid (BCO) but not by other amino acids tested as inhibitors. By these criteria, the leucine-resistant component of transport of benzenoid amino acids resembled system T in human red blood cells and rat hepatocytes. It is not entirely clear why preimplantation blastocysts have five good systems for transport of tryptophan. It is possible, however, that tryptophan homeostasis is particularly important during preimplantation development since it has been shown elsewhere that tryptophan availability in blood increases within one day after rat eggs are fertilized.

Inhibition of transport system b0,+ in blastocysts by inorganic and organic cations yields insight into the structure of its amino acid receptor site

The most conspicuous, Na(+)-independent amino acid transport process in preimplantation mouse blastocysts was provisionally designated system b0,+ because it accepts some cationic and zwitterionic amino acids about equally well as substrates. Although system b0,+ is not Na(+)-stimulated, it has not been determined if it is inhibited by Na+, or if its activity is affected by most other ions. Therefore, we measured uptake of amino acids by blastocysts in isotonic solutions of different ionic and nonionic osmolites. Na(+)-independent L-leucine uptake was unaffected by the ion concentration, but L-lysine transport was several-fold faster in isotonic solutions of non-electrolytes than in similar solutions of inorganic and organic salts or zwitterions. The Km value for 'Na(+)-independent' L-lysine transport was about 10-fold higher in isotonic salt solutions than in solutions of nonionic osmolites, whereas the Km value for L-leucine transport was about the same in either type of solution. Therefore, inorganic and organic cations and the cationic portions of zwitterions appear to compete with cationic but not zwitterionic amino acids for system b0,+ receptor sites. The cation, harmaline, was a particularly strong competitive inhibitor of 'Na(+)-independent' L-lysine uptake by system b0,+, even in isotonic salt solutions, whereas it inhibited L-leucine uptake noncompetitively. Moreover, harmaline appeared to compete with inorganic cations for the lysine receptor sites of system b0,+. Harmaline also has been found by other investigators to competitively inhibit L-lysine uptake by the Na(+)-independent system asc1 in horse erythrocytes, whereas it noncompetitively inhibits alanine uptake by the same system. Similarly, harmaline noncompetitively inhibits L-alanine uptake by the Na(+)-dependent system ASC in human erythrocytes, but it appears to compete for binding with L-alanine's cosubstrate, Na+. In addition, others have found that the positively-charged side chains of cationic amino acids seem to take the place of Na+ needed near side chains in order for zwitterionic amino acids to be transported by systems ASC and y+. We conclude that system b0,+ may be similar to systems asc1, ASC and y+, and that each of these systems may be a variant of the same ancestral transport process. We speculate that since it appears to accept a broader scope of substrates and to interact with a wider variety of cations than do systems asc1, ASC or y+, system b0,+ may more closely resemble the proposed ancestral transport process than any of the other contemporary systems.

Kinetics of arginine-vasopressin uptake at the blood-brain barrier

Uptake of arginine-vasopressin, VP, at the luminal side of the blood-brain barrier (BBB) was studied by means of an in situ brain perfusion technique in the guinea-pig. Kinetic experiments revealed a saturable peptide influx into the parietal cortex, caudate nucleus and hippocampus with Km between 2.1 and 2.7 microM, and Vmax ranging from 4.9 to 5.6 pmol.min-1.g-1. The non-saturable component, Kd, was not significantly different from zero. Influx of VP into the brain was not altered by the presence of the peptide fragments: VP-(1-8), pressinoic acid and [pGlu4,Cyt6]VP-(4-9) at 4.5 microM, nor yet by the aminopeptidase inhibitor, bestatin (0.5 mM) and the L-amino acid transport system substrates, L-tyrosine and L-phenylalanine at 5 mM. At a perfusate concentration of 4.5 microM, the V1-vasopressinergic receptor antagonist, d(CH2)5[Tyr(Me)2]VP, reduced VP influx; regional Ki values, assuming that the observed inhibitions were purely competitive, ranged between 4.7 and 8.5 microM. It is concluded that there is an apparent cerebrovascular permeability to circulating VP due to the presence of a carrier-mediated transport system for the peptide located at the luminal side. The mechanism for VP BBB uptake exhibits no affinity for peptide fragments and large neutral amino acids, but requires reception of the intact molecule, which may be the same initial step for both the BBB VP transporter and the V1-receptor.

Changes in the activities of amino acid transport systems b0,+ and L during development of preimplantation mouse conceptuses

Uptake of leucine, lysine, and arginine was predominantly Na(+)-independent in mouse conceptuses through the 8-cell stage of development, and two components of saturable transport were detected for each of these amino acids. Uptake of cationic substrates from solutions near 1 microM was inhibited most strongly by bulky cationic and zwitterionic amino acids whose carbon skeletons do not branch at the alpha or beta positions. By this criterion, system b0,+ accounted for most of the Na(+)-independent arginine and lysine transport in eggs and conceptuses throughout preimplantation development. A small, leucine-resistant, cation-preferring component of amino acid transport was also detected in these cells. Leucine uptake was inhibited most strongly by bicyclic, branched-chain or benzenoid, zwitterionic amino acids in eggs and conceptuses prior to formation of blastocysts. Therefore, it appeared to be taken up mainly by system L, while system b0,+ accounted for a smaller portion of leucine uptake during this developmental period. In blastocysts, in contrast, system L was less conspicuous, and system b0,+ was primarily responsible for Na(+)-independent leucine uptake. The Vmax values for transport of amino acids by system b0,+ increased by up to 30-fold in conceptuses between the 1-cell and blastocyst stages. In contrast, the Vmax value for leucine transport via system L decreased while the Km value increased between these two developmental stages. Although several explanations for these changes are possible, we favor the hypothesis that the density of system L transport sites in plasma membranes decreases while the number of system b0,+ sites increases during development of blastocysts from 1-cell conceptuses.

Kinetic analysis of K+ ion channel function in lymphokine-activated killer (LAK) cells

K+ ion channels of lymphocytes have been implicated in cellular differentiation, activation and cytolytic functions. We previously demonstrated that K+ channel blockers modulate lytic activity of CTLs and LAK cells. In the present study, we define and quantitate the inhibitory effects of ion channel blockers on the lytic process using kinetic analysis of lysis. The K+ channel blocker, 4-aminopyridine, the neuroendocrine monoamine, serotonin, its agonist, quipazine, and the Ca++ dependent K+ channel blocker, quinidine were found to non-competitively inhibit the lytic process in a dose-dependent manner. These compounds inhibit lytic activity by causing a decrease in the maximum velocity (Vmax) by which LAK cells lyse tumor targets. These ion channel blockers did not alter effector or target cell viability or the binding of LAK cells to tumor cells. The inhibitory effects occurred at the effector cell level, since preincubation of LAK effector cells resulted in a dose-dependent decrease in Vmax which was related to a slower rate of target cell lytic programming (k2) by the LAK effector cells. Modulation of LAK cell lytic function occurs at a post-binding step, perhaps in the generation or release of the lytic signal.

Kinetic analysis of leucine-enkephalin cellular uptake at the luminal side of the blood-brain barrier of an in situ perfused guinea-pig brain

The uptake of enkephalin-(5-L-leucine) (Leu-enkephalin) at the luminal side of the blood-brain barrier was measured by means of an in situ vascular brain perfusion technique in the anaesthetized guinea pig. This method allows measurements of cerebrovascular peptide uptake over periods of up to 20 min, and excludes the solute under study from the general circulation and systemic metabolic influences. A capillary unidirectional transfer constant, Kin, for [tyrosyl-3,5-3H]Leu-enkephalin was estimated graphically from the multiple-time brain uptake data in the presence of different concentrations of unlabelled peptide, and dose-dependent self-inhibition was demonstrated. Analysis of unidirectional influx of blood-borne Leu-enkephalin into the brain revealed Michaelis-Menten saturation kinetics in the parietal cortex, caudate nucleus, and hippocampus, with Vmax between 0.14 and 0.16 nmol min-1 g-1 and Km ranging from 34 to 41 microM, for the saturable component, whereas the estimated diffusion constant, Kd, was not significantly different from zero. Entry of [3H]Leu-enkephalin was not inhibited in the presence of either a 5 mM concentration of unlabelled L-tyrosine, tyrosylglycine, and tyrosylglycylglycine, or aminopeptidase inhibitor, bestatin (0.5 mM), suggesting that the saturable mechanism of the tracer at the luminal side of the blood-brain barrier does not involve uptake of the peptide's N-terminal amino acid and/or its tyrosine-containing fragments.(ABSTRACT TRUNCATED AT 250 WORDS)

Reaction rate measurements of proteases and glycosidases with chromogenic methods

Simultaneous azo-coupling and indigogenic methods were evaluated for the quantitative histochemical assay of the plasma membrane proteases gamma-glutamyl transpeptidase (EC 2.3.2.2) and dipeptidyl peptidase IV (EC 3.4.14.5) and the glycosidases maltase-glucoamylase and glucoamylase (EC 3.2.1.20) in decidual cells, jejunal enterocytes and renal proximal tubulocytes. Using kinetic (continuous) microdensitometry, a linear increase in the final reaction product was found from 3 up to 10 min, depending on the substrate concentration and the plasma membrane glycosidase or protease under investigation. Combined continuous and end point (static) microdensitometry revealed a linear relationship between the section thickness (enzyme concentration) and final reaction product up to 12 microns for the proteases and up to 16 microns for the glycosidases. Apparent Km and Vmax values were calculated with a computerized version of the direct linear plot and compared with the results obtained with the linear transformations according to Lineweaver-Burk, Eadie-Hofstee and Hanes. Apparent Km and Vmax values for the proteases were calculated separately for each animal and were 1.82 mM and 1.02 mM and 2.43 arbitrary units (a.u.) and 1.67 a.u. (gamma-glutamyl transpeptidase, decidua) and 0.42 mM and 0.38 mM and 0.29 and 0.26 a.u. (dipeptidyl peptidase IV, decidua). For the alpha-D-glucosidases, the corresponding values were 0.23 mM and 0.15 a.u. (kidney) and 0.55 mM and 0.20 a.u. (jejunum). The results show the suitability of the indigogenic methods for quantitative histochemical measurements of plasma membrane alpha-D-glucosidases, whereas the simultaneous azo-coupling procedures seemed to be less suitable for the quantification of surface membrane proteases, due to, for example, interactions of diazonium salts with amino acid or peptide substrates, reaction products and peptide activators.

Kinetic analysis of lymphokine-activated killer (LAK) cells: lytic parameters and determination of LAK cell frequency

Kinetic analysis was used to define lytic events in murine lymphokine-activated killer (LAK) cell-mediated tumour cell lysis. The maximum rate of target cell lysis (Vmax) and Km (target cell number resulting in 1/2 Vmax) were determined. Single cell lytic assays demonstrated that only LAK effector cells bound to target cells (i.e. non-lytic, bystander lymphocytes did not influence the determination of kinetic parameters) in contrast to natural killer (NK) cell lysis. This finding allowed for LAK cell frequency determinations where Km approximates the concentration of lytic LAK effector cells within a given number of lymphocytes. Frequencies determined in this manner were not significantly different from those obtained using the more cumbersome single cell lytic assay. Furthermore, frequencies determined for the same lymphocyte population against four different NK-resistant tumour targets, that varied in their sensitivity to LAK cell lysis, were not significantly different. In addition, LAK cell lytic programming of target cells was found to be the rate limiting lytic event. This study provides a means of determining reliable estimates of LAK cell frequencies within a lymphocyte population, which will be useful in studies evaluating LAK cytolytic mechanisms and the effects of drugs, biological response modifiers, or disease states on LAK cell lytic activity.

EZ-FIT: a practical curve-fitting microcomputer program for the analysis of enzyme kinetic data on IBM-PC compatible computers

EZ-FIT, an interactive microcomputer software package, has been developed for the analysis of enzyme kinetic and equilibrium binding data. EZ-FIT was designed as a user-friendly menu-driven package that has the facility for data entry, editing, and filing. Data input permits the conversion of cpm, dpm, or optical density to molar per minute per milligram protein. Data can be fit to any of 14 model equations including Michaelis-Menten, Hill, isoenzyme, inhibition, dual substrate, agonist, antagonist, and modified integrated Michaelis-Menten. The program uses the Nelder-Mead simplex and Marquardt nonlinear regression algorithms sequentially. A report of the results includes the parameter estimates with standard errors, a Student t test to determine the accuracy of the parameter values, a Runs statistic test of the residuals, identification of outlying data, an Akaike information criterion test for goodness-of-fit, and, when the experimental variance is included, a chi 2 statistic test for goodness-of-fit. Several different graphs can be displayed: an X-Y, a Scatchard, an Eadie-Hofstee, a Lineweaver-Burk, a semilogarithmic, and a residual plot. A data analysis report and graphs are designed to evaluate the goodness-of-fit of the data to a particular model.