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PubMed1998

Kinetic model of folate metabolism in nonpregnant women consuming [2H2]folic acid: isotopic labeling of urinary folate and the catabolite para-acetamidobenzoylglutamate indicates slow, intake-dependent, turnover of folate pools.

In a 10-wk study of folate metabolism in nonpregnant women (21-27 y, n -6 per group), subjects were fed a diet containing approximately 68 nmol/d (30 microg/d) folate from food. The remainder of the ingested folate was provided as folic acid in apple juice (as nonlabeled during wk 1-2, as [2H2]folic acid during wk 3-10) to yield a constant intake of 454, 680 or 907 nmol/d (200, 300 or 400 microg/d). Isotopic enrichment of total urinary folate and the primary catabolite para-acetamidobenzoylglutamate (ApABG) was determined. Isotopic enrichment of ApABG served as an indicator of labeling of tissue folates. A kinetic model consisting of fast- and slow-turnover nonsaturable pools and a saturable slow-turnover pool, with provisions for urinary and fecal excretion, catabolism and enterohepatic circulation, yielded a close fit to the data. Mean residence times for total body folate were 212, 169 and 124 d for folate intakes of 454, 680, and 907 nmol/d, respectively. The model predicted that variation in folate intake over this range had little effect on the mass of the large saturable folate pool; however, the fast-turnover nonsaturable pools increased in proportion to folate intake, whereas the slow nonsaturable pool also tended to increase. This model will aid in evaluation of folate turnover and in predicting kinetic consequences of physiologic conditions associated with altered folate requirements.

Adult↗
PubMed1993

Effect of bromoconduritol on glucosidase II from rat liver. A new kinetic model for the binding and hydrolysis of the substrate.

Bromoconduritol inhibits the p-nitrophenyl-glucosidase and maltase activities of glucosidase II purified from rat liver, an enzyme that removes the two alpha-1,3-linked glucose residues of the protein-bound oligosaccharide Glc2Man9GlcNAc2 in the processing of N-glycoproteins. The inactivation process exhibits pseudo-first-order kinetics. Previously, we have demonstrated the occurrence of two binding (active) sites in the glucosidase II for the substrates p-nitrophenyl alpha-D-glucopyranoside (pNphGlc) and maltose (high- and low-affinity sites). The inhibition kinetic studies with bromoconduritol indicate that the high- and low-affinity sites for pNphGlc correspond to high- and low-affinity sites for maltose, respectively. Bromoconduritol has no effect on the binding of the substrates (pNphGlc and maltose) to the high-affinity site, although it does modify the low-affinity site and hinders the binding of the two indicated substrates to this site. These results, together with previous reports, have prompted us to propose a new kinetic model of binding and hydrolysis of the physiological substrate of the enzyme, in which the outermost glucose residue would bind and be released at the high-affinity site, whereas the innermost glucose residue would do so at the low-affinity site.

Animals↗
PubMed1998

A general kinetic model for quantitative perfusion imaging with arterial spin labeling.

Recently, several implementations of arterial spin labeling (ASL) techniques have been developed for producing MRI images sensitive to local tissue perfusion. For quantitation of perfusion, both pulsed and continuous labeling methods potentially suffer from a number of systematic errors. In this study, a general kinetic model for the ASL signal is described that can be used to assess these errors. With appropriate assumptions, the general model reduces to models that have been used previously to analyze ASL data, but the general model also provides a way to analyze the errors that result if these assumptions are not accurate. The model was used for an initial assessment of systematic errors due to the effects of variable transit delays from the tagging band to the imaging voxel, the effects of capillary/tissue exchange of water on the relaxation of the tag, and the effects of incomplete water extraction. In preliminary experiments with a human subject, the model provided a good description of pulsed ASL data during a simple sensorimotor activation task.

Arousal↗
PubMed1993

Characterization of the maltase activity of glucosidase II from rat liver. Kinetic model.

Glucosidase II is a key enzyme in the processing of N-glycoproteins since it removes the two glucose residues from the protein-linked oligosaccharide Glc2Man9GlcNAc2-R. We have studied the kinetics of the purified enzyme, using maltose as substrate. Analysis of data fitting to single and double-hyperbolic equations and the Eadie-Hofstee profile indicate that the enzyme has two binding (active) sites for the hydrolysis of maltose. The Km and Vmax values for the high-affinity site were 0.43 mM and 691 mU/mg, respectively, whereas the values for the low-affinity site were 57.7 mM and 2888 mU/mg, respectively. The Vmax/Km ratios were 1607 and 50.1 ml/min per g for the high- and low-affinity sites, respectively. A new kinetic model for this enzyme is proposed from the equilibria corresponding to the partial competitive inhibition produced by maltose on p-nitrophenyl-glucosidase activity. The amino acid composition of the enzyme has been established.

Amino Acids↗
PubMed2003

Modeling chromate reduction in Shewanella oneidensis MR-1: development of a novel dual-enzyme kinetic model.

Chromate (Cr(VI)) reduction tests were performed with nitrate- and fumarate-grown stationary phase cultures of Shewanella oneidensis MR-1 (henceforth referred to as MR-1) and disappearance of Cr(VI) was monitored over time. A rapid initial decrease in Cr(VI) concentration was observed, which was followed by a slower, steady decrease. These observations appear to be consistent with our previous results indicating that Cr(VI) reduction in MR-1 involves at least two mechanisms (Viamajala et al., 2002b). Modeling of metal reduction kinetics is often based on single-enzyme Michaelis-Menten equations. However, these models are often developed using initial rates and do not always match actual reduction profiles. Based on the hypothesis that multiple Cr(VI) reduction mechanisms exist in MR-1, a model was developed to describe the kinetics of Cr(VI) reduction by two parallel mechanisms: (1) a rapid Cr(VI) reduction mechanism that was deactivated (or depleted) quickly, and (2) a slower mechanism that had a constant activity and was sustainable for a longer duration. Kinetic parameters were estimated by fitting experimental data, and model fits were found to correspond very closely to quantitative observations of Cr(VI) reduction by MR-1.

Cell Culture Techniques↗
PubMed2005

Radiation induced decomposition of methyl tert-butyl ether in water in presence of chloroform: kinetic modelling.

The destruction of methyl tert-butylether (MTBE) in water in the presence of chloroform has been studied using 60Co gamma irradiation. Distilled water solutions at three different concentrations of the individual solutes MTBE and CHCl3 were irradiated for various times to provide dose destruction information. Then, the irradiation of a mixture of MTBE (at two different concentrations) and CHCl3 (at one concentration) was conducted. A kinetic model was used incorporating recently determined bimolecular rate constants to describe the destruction of the MTBE and CHCl3 individually and in mixtures. These studies were conducted in distilled water simplifying the radiation chemistry significantly. With the improvements in the modelling capability, we are closer to being able to use the model to study "real-world" mixtures in natural waters.

Chloroform↗
PubMed1991

Human [74Se]selenomethionine metabolism: a kinetic model.

A study was undertaken to investigate the pharmacokinetics of an organically bound form of selenium. Six adults received a single oral 200-micrograms dose of 74Se as L-selenomethionine. A kinetic model was developed to simultaneously account for the appearance and disappearance of the tracer in plasma, urine, and feces. The model included absorption distributed along the gastrointestinal tract, uptake by the liver-pancreas subsystem, enterohepatic recirculation, distribution to two large tissue pools, and transport through four components of the plasma pool. Average turnover time of the plasma components varied from 0.01 to 1.1 d. The turnover time in the liver-pancreas subsystem ranged from 1.6 to 3.1 d. Turnover time ranged from 61 to 86 d in the peripheral tissues with the slowest turnover. The whole-body residence time was approximately five-fold greater than the turnover time of the tissue pool with the slowest turnover, reflecting substantial reutilization of labeled material.

Absorption↗
PubMed2005

Kinetic modelling of Lactobacillus casei ssp. rhamnosus growth and lactic acid production in batch cultures under various medium conditions.

Enrichment of medium with yeast extract and tryptone increased growth and lactic acid production in batch cultures of Lactobacillus casei ssp. rhamnosus. A reliable kinetic model that explicitly expresses the strong relationship between microbial growth, lactic acid production and medium enrichment is provided and validated using experimental data obtained with six different medium compositions.

Cell Culture Techniques↗
PubMed1999

Kinetic models for astaxanthin production by high cell density mixotrophic culture of the microalga Haematococcus pluvialis.

High cell density cultivation of Haematococcus pluvialis for astaxanthin production was carried out in batch and fed-batch modes in 3.7-L bioreactors with stepwise increased light intensity control mode. A high cell density of 2.65 g x L(-1) (batch culture) or 2.74 g x L(-1) (fed-batch culture) was obtained, and total astaxanthin production in the fed-batch culture (64.36 mg x L(-1)) was about 20.5% higher than in the batch culture (53.43 mg x L(-1)). An unstructured kinetic model to describe the microalga culture system including cell growth, astaxanthin formation, as well as sodium acetate consumption was proposed. Good agreement was found between the model predictions and experimental data. The models demonstrated that the optimal light intensity for mixotrophic growth of H. pluvialis in batch or fed-batch cultures in a 3.7-L bioreactor was 90-360 micromol x m(-2) x s(-1), and that the stepwise increased light intensity mode could be replaced by a constant light intensity mode.

Animals↗
PubMed1999

Differential signalling by variant ligands of the T cell receptor and the kinetic model of T cell activation.

The structural basis of T cell activation through the T cell receptor is still a major unresolved issue in T cell biology. The wealth of information on the generation and structure of T cell receptor ligands and the biochemistry of signal transduction from this receptor have been useful in the initial approach to explain how T cell activation occurs. More recently, the generation of variant T cell receptor ligands with partial agonist or antagonist properties, the determination of crystal structures for unengaged and engaged T cell receptors, and the kinetics of T cell receptor interactions with peptide:MHC molecule complexes have provided new insights on T cell receptor function. The common theme arising from these experiments is that the T cell receptor is a versatile signalling machine, with an inherent flexibility for ligand recognition that translates in different signalling patterns. Here, I will review the data on differential signalling from the T cell receptor upon recognition of partial agonist and antagonist ligands and how these data impact on a more general kinetic model of T cell receptor-mediated activation.

Humans↗
PubMed1985

Use of an in-vitro kinetic model to study antibiotic combinations.

A two compartment pharmacokinetic model was used to study combinations of piperacillin with N-formimidoyl thienamycin or amikacin, and azlocillin with netilmicin against strains of Pseudomonas aeruginosa. Antibiotic antagonism seen with in-vitro static tests of piperacillin and thienamycin did not occur with the kinetic model. Piperacillin plus amikacin showed enhanced activity, and azlocillin prevented bacterial regrowth seen with netilmicin alone during multiple dosing experiments at high bacterial inocula. This model is useful in the study of antibiotic combinations.

Anti-Bacterial Agents↗
PubMed2001

Noncontact dipole effects on channel permeation. IV. Kinetic model of 5F-Trp(13) gramicidin A currents.

Nonlinear least squares fitting was used to assign rate constants for the three-barrier, two-site, double-occupancy, single-filing kinetic model for previously reported current-voltage relations of (5F-Indole)Trp(13) gramicidin A and gramicidin A channels (, 75:2830-2844). By judicious coupling of parameters, it was possible to reduce the parameter space from 64 parameters to 24, and a reasonable fit consistent with other experimental data was obtained. The main features of the fit were that fluorination increased the rate constant for translocation by a factor of 2.33, consistent with a free energy change in the translocation barrier of -0.50 kcal/mol, and increased first-ion binding affinity by a factor of 1.13, primarily by decreasing the first-ion exit rate constant. The translocation rate constant was 5.62 times slower in diphytanoyl phosphatidylcholine (DPhPC) bilayers than in monoolein (GMO) bilayers (coupled for the four combinations of peptide and salt), suggesting a 44.2-mV difference in the projection of the interfacial dipole into the channel. Thus fluorination caused increased currents in DPhPC bilayers, where a high interfacial dipole potential makes translocation more rate limiting because the translocation barrier was reduced, and decreased currents in GMO bilayers, where ion exit or entry is rate limiting because these barriers were increased.

Algorithms↗
PubMed1999

Kinetic modeling of N-[11C]methylpiperidin-4-yl propionate: alternatives for analysis of an irreversible positron emission tomography trace for measurement of acetylcholinesterase activity in human brain.

N-[11C]Methylpiperidin-4-yl propionate ([11C]PMP) is a substrate for hydrolysis by acetylcholinesterase (AChE). This work evaluates kinetic analysis alternatives for estimation of relative AChE activity using dynamic positron emission tomography (PET) studies of [11C]PMP. The PET studies were performed on three groups of subjects: (1) 12 normal volunteer subjects, aged 20 to 45 years, who received a single intravenous injection of 16 to 32 mCi of [11C]PMP; (2) six subjects, aged 21 to 44 years, who received two 16-mCi injections of [11C]PMP (baseline and visual stimulation, respectively); and (3) five subjects, aged 24 to 40 years, who received two 16-mCi injections separated by 200 minutes (baseline and after a 1-hour constant infusion of 1.5 mg of physostigmine, respectively). Dynamic acquisition consisted of a 17-frame sequence over 80 minutes. All analysis methods were based on a first-order kinetic model consisting of two tissue compartments with the parameter k3, representing PMP hydrolysis, being the index of AChE activity. Four different schemes were used to estimate k3: (1) an unconstrained non-linear least-squares fit estimating blood-brain barrier transport parameters, K1 and k2, in addition to the hydrolysis rate constant k3; (2) and (3), two methods of constraining the fit by fixing the volume of distribution of free tracer (DVfree); and (4), a direct estimation of k3 without use of an arterial input function based on the shape of the tissue time-activity curve alone. Results showed that k3 values from the unconstrained fitting and no input methods were estimated with similar accuracy, whereas the two methods using DVfree constraints yielded similar results. The authors conclude that the optimal analysis method for [11C]PMP differs as a function of AChE activity. All four methods gave precise measures of k3 in regions with low AChE activity (approximately 10% coefficient of variation in cortex), but surprisingly, with unconstrained methods yielding estimates with lower variability than constrained methods. In regions with moderate to high AChE activity, constrained methods were required to yield meaningful estimates and were superior to the unconstrained methods.

Acetylcholinesterase↗
PubMedDate not supplied

[Bactericidal activity of amoxicillin and cefaclor in an "in vitro" kinetic model (author's transl)].

The bactericidal activity against Staphylococcus aureus 290-P, Escherichia coli NIHJ-JC2 and Klebsiella pneumoniae ATCC-10031 (10(6)/ml) was studied during 24 h, using an in vitro kinetic model which simulates the drug concentrations occurring in human serum after oral doses of amoxicillin (0.5 g or 1 g) or cefaclor (0.25 g or 0.50 g), 2 or 3 times a day. After the first antibiotic exposure, a high level of bactericidal activity (99-99.9%) was observed. Complete bactericidal activity was observed in all cases against S. aureus, but only after 3 times per day exposures in the case of E. coli and K. pneumoniae. Twice per day exposures of amoxicillin or cefaclor were invariably ineffective for these two species of Enterobacteriaceae (10(9) bacterial survivors/ml). These findings were related to subinhibitory concentrations which were or not able to prevent or reduce the bacterial regrowth after the first exposure of the antibiotics.

Amoxicillin↗
PubMed2003

A kinetic model for the glucose-fructose-glycine browning reaction.

The browning of glucose-fructose-glycine mixtures involves parallel glucose-glycine and fructose-glycine reactions, which share a common intermediate, the immediate precursor of melanoidins in the kinetic model. At pH 5.5, 55 degrees C glucose is converted into this intermediate in a two step process where k(1) = (7.8 +/- 1.1) x 10(-)(4) mol L(-)(1) h(-)(1) and k(2) = (1.84 +/- 0.31) x 10(-)(3) h(-)(1) according to established kinetics, whereas fructose is converted into this intermediate in a single step where k(4) = 5.32 x 10(-)(5)()()mol L(-)(1) h(-)(1). The intermediate is converted to melanoidins in a single rate limiting process where k(mix) = 0.0177 h(-)(1) and the molar extinction coefficient (based on the concentration of sugar converted) of the melanoidins so formed is 1073 +/- 4 mol(-)(1) L cm(-)(1). Whereas the value of k(mix) is the same when the individual sugars undergo browning, the value of the molar extinction coefficient is similar to that for melanoidins from the glucose-glycine reaction (955 +/- 45 mol(-)(1) L cm(-)(1)) but it is approximately double the value for melanoidins from the fructose-glycine reaction (478 +/- 18 mol(-)(1) L cm(-)(1)). This is the reason that the effects of glucose and fructose on the rate of browning are synergistic.

Fructose↗
PubMed1991

Kinetic modeling as a prescription aid in peritoneal dialysis.

Methods for calculating fluid and mass removal in peritoneal dialysis are presented in order to aid clinicians in their care and management of patients and to assist them in their understanding of the physiological mechanisms which govern peritoneal transport. These methods are based on the Pyle-Popovich peritoneal mass transport model which encompasses both diffuse and convective transport as well as lymphatic flow and residual renal function. Algebraic solutions to the mass balance equations governing solute transport are provided. Since these solutions are expressed explicitly as functions of time, they are easily programmed for use on a personal computer or calculator. This offers considerable advantage over the more computer-intensive numerical solutions which had been previously required since one can now calculate both mass removal and changes in blood concentration at the end of an exchange without requiring any intermediate calculations. This computational advantage and the ability to model changes in blood concentration are shown to be of particular importance when modeling more dynamic therapies such as CCPD or Tidal peritoneal dialysis. Finally, the model and solutions, when assessed clinically among 5 patients on two separate occasions, resulted in predicted fluid and mass removals which were in high concordance with measured fluid and mass removals (concordance correlation coefficients in excess of 0.97). Our findings suggest that kinetic modeling can provide the kind of analytical tools necessary to guide clinicians in their care and management of peritoneal dialysis patients.

Algorithms↗
PubMed1997

A kinetic model for the interaction of nitric oxide with a mammalian lipoxygenase.

Nitric oxide (NO) has been known for a long while to act as an inactivator of the soybean lipoxygenase-1 and cyclooxygenase. More recently, NO was shown to interact also with a mammalian 15-lipoxygenase [Wiesner, R., Rathmann, J., Holzhütter, H. G., Stosser, R., Mader, K., Nolting, H. & Kühn, H. (1996) Nitric oxide oxidises ferrous mammalian lipoxygenases to a pre-activated ferric species, FEBS Lett. 389, 229-232]. In this paper we present a detailed kinetic analysis of the interaction of NO with the 15-lipoxygenase from reticulocytes. Time courses of hydroperoxide formation were monitored after an anaerobic incubation of the enzyme with varying concentrations of NO and for varying length of the incubation period. Owing to the presence of O2 during the enzymatic reaction, the inhibitory effect of NO declines in a time-dependent manner since NO is converted into non-reactive NO2. This is manifested as a lag phase of the time course. The lag phase becomes more pronounced if the enzyme is incubated over a fixed period (15 s) with increasing concentrations of NO. In contrast, increasing the length of the incubation period at fixed concentrations of NO diminishes the duration of the lag phase. These experimental findings can be accounted for by a kinetic model which assumes (a) fast reversible binding of NO to the inactive ferrous Fe(II) form of the enzyme and (b) slow irreversible conversion of the Fe(II)-NO complex into an activated ferric form of the enzyme which is susceptible to peroxide activation. The rate constants for these two different kinetic modes of NO action were estimated by fitting the solutions of the model equations to the experimental time courses. The dissociation constant of the Fe(II)-NO complex amounts to 2.5 microM. Computer simulations performed on the basis of the model indicate that the response of the lipoxygenase to increasing intracellular NO concentrations depend upon the available peroxide tone: at low peroxide concentration the enzyme is initially trapped in the inactive ferrous form and thus may be activated by NO via the activated ferric species. On the other hand, at high peroxide concentrations, a partial inhibition of the initially active enzyme is expected.

Animals↗