Kinetic analysis of enzymatic chiral resolution by progress curve evaluation

The present study deals with kinetic modeling of enzyme-catalyzed reactions by integral progress curve analysis, and shows how to apply this technique to kinetic resolution of enantiomers. It is shown that kinetic parameters for both enantiomers and the enantioselectivity of the enzyme may be obtained from the progress curve measurement of a racemate only.A parameter estimation procedure has been established and it is shown that the covariance matrix of the obtained parameters is a useful statistical tool in the selection and verification of the model structure. Standard deviations calculated from this matrix have shown that progress curve analysis yields parameter values with high accuracies.Potential sources of systematic errors in (multiple) progress curve analysis are addressed in this article. Amongst these, the following needed to be dealt with: (1) the true initial substrate concentrations were obtained from the final amount of product experimentally measured (mass balancing); (2) systematic errors in the initial enzyme concentration were corrected by incorporating this variable in the fitting procedure as an extra parameter per curve; and (3) enzyme inactivation is included in the model and a first-order inactivation constant is determined.Experimental verification was carried out by continuous monitoring of the hydrolysis of ethyl 2-chloropropionate by carboxylesterase NP and the alpha-chymotrypsin-catalyzed hydrolysis of benzoylalanine mathyl ester in a pH-stat system. Kinetic parameter values were obtained with high accuracies and model predictions were in good agreement with independent measurements of enantiomeric excess values or literature data. (c) 1994 John Wiley & Sons, Inc.     

Characterization of initial events in bacterial surface colonization by two Pseudomonas species using image analysis

The processes leading to bacterial colonization on solidwater interfaces are adsorption, desorption, growth, and erosion. These processes have been measured individually in situ in a flowing system in real time using image analysis. Four different substrata (copper, silicon, 316 stainless-steel and glass) and 2 different bacterial species (Pseudomonas aeruginosa and Pseudomonas fluorescens) were used in the experiments. The flow was laminar (Re = 1.4) and the shear stress was kept constant during all experiments at 0.75 N m(-2). The surface roughness varied among the substrata from 0.002 mum (for silicon) to 0.015 mum (for copper). Surface free energies varied from 25.1 dynes cm(-1) for silicon to 31.2 dynes cm(-1) for copper. Cell curface hydrophobicity, reported as hydrocarbon partitioning values, ranged from 0.67 for Ps. fluorescens to 0.97 for Ps. aeruginosa.The adsorption rate coefficient varried by as much as a factor of 10 among the combinations of bacterial strain and substratum material, and was positively correlated with surface free energy, the surface roughness of the substratum, and the hydrophobicity of the cells. The probability of desorption decreased with increasing surface free energy and surface roughness of the substratum. Cell growth was inhibited on copper, but replication of cells overlying an initial cell layer was observed with increased exposure time to the cell-containing bulk water. A mathematical model describing cell accumulation on a substratum is presented.     

Kinetic analysis of site-specific photoaptamer-protein cross-linking

ssDNA oligonucleotides containing bromodeoxyuridine, BrdU-photoaptamers, are rapidly emerging as specific protein capture reagents in protein microarray technologies. A mathematical model for the kinetic analysis of photoaptamer-protein photocross-linking reactions is presented. The model is based on specific aptamer/protein binding followed by laser excitation that can lead to either covalent cross-linking of the photoaptamer and protein in the complex or irreversible photodamage to the aptamer. Two distinct kinetic regimes, (1) frozen and (2) rapid equilibrium, are developed analytically to model binding kinetics between laser pulses. The models are used to characterize the photocross-linking between three photoaptamers and their cognate protein targets; photoaptamers 0650 and 0615 cross-link human basic fibroblast growth factor and 0518 cross-links HIV MN envelope glycoprotein. Data for cross-linking reaction yields as a function of both laser energy dose and target protein concentration are analyzed for affinity constants and cross-link reaction rates. The binding dissociation constants derived from the cross-linking data are in good accord with independent measurements; the rapid equilibrium model appears to produce results more consistent with the experimental observations, although there is significant overlap between the two models for most conditions explored here. The rate of photodamage for 0615 and 0518 is 3.5 and 2.5 times that of the specific cross-link, giving low maximum reaction yields of approximately 20% and approximately 30%, whereas 0650 cross-links with a rate over five times higher than its photodamage rate and has a maximum reaction yield exceeding 80%. Quantum yields for the three systems are estimated from the data; photoaptamer 0650 has a reasonably high quantum yield of approximately 0.2 for protein cross-linking, while 0518 and 0615 have quantum yields of 0.07 and 0.02. The work presented here provides a useful set of metrics that allow for refinement of photoaptamer properties.     

A coalescent process with simultaneous multiple mergers for approximating the gene genealogies of many marine organisms

We describe a forward-time haploid reproduction model with a constant population size that includes life history characteristics common to many marine organisms. We develop coalescent approximations for sample gene genealogies under this model and use these to predict patterns of genetic variation. Depending on the behavior of the underlying parameters of the model, the approximations are coalescent processes with simultaneous multiple mergers or Kingman’s coalescent. Using simulations, we apply our model to data from the Pacific oyster and show that our model predicts the observed data very well. We also show that a fact which holds for Kingman’s coalescent and also for general coalescent trees–that the most-frequent allele at a biallelic locus is likely to be the ancestral allele–is not true for our model. Our work suggests that the power to detect a “sweepstakes effect” in a sample of DNA sequences from marine organisms depends on the sample size.     

Improved simultaneous nitrification and denitrification in a single reactor by using two different immobilization carriers with specific oxygen transfer characteristics

To maximize nitrogen utilization rates during nitrification and denitrification in a simultaneous reaction for direct nitrogen removal from ammonia–nitrogen in a single reactor, two different carriers were applied that immobilized nitrifiers and denitrifiers separately. With the optimized DO concentration and mixing ratio of immobilization carriers, ammonium–nitrogen was successfully removed as designed until the middle phase of treatment where nitrogen removal rate was higher than 83% of the theoretical value, although an imbalance between nitrification and denitrification occurred at a later phase of treatment where residual nitrate–nitrogen concentration was less than 2 mg/l. The new approach using two different carriers to immobilize nitrifiers and denitrifiers separately was proved useful for controlling both nitrification and denitrification rates, enabling the utilization of maximum treatment ability of both nitrifiers and denitrifiers in a single reactor for direct nitrogen removal from ammonium–nitrogen.     

Variance reduction by simultaneous multi-exponential analysis of data sets from different experiments

The analysis of experimental data from the photocycle of bacteriorhodopsin (bR) as sums of exponentials has accumulated a large amount of information on its kinetics which is still controversial. One reason for ambiguous results can be found in the inherent instabilities connected with the fitting of noisy data by sums of exponentials. Nevertheless, there are strategies to optimize the experiments and the data analysis by a proper combination of well known techniques. This paper describes an applicable approach based on the correct weighting of the data, a separation of the linear and the non-linear parameters in the process of the least squares approximation, and a statistical analysis applying the correlation matrix, the determinant of Fisher's information matrix, and the variance of the parameters as a measure of the reliability of the results. In addition, the confidence regions for the linear approximation of the non-linear model are compared with confidence regions for the true non-linear model. Evaluation techniques and rules for an optimum experimental design are mainly exemplified by the analysis of numerically generated model data with increasing complexity. The estimation of the number of exponentials significant for the interpretation of a given set of data is demonstrated by using records from eight absorption and photocurrent experiments on the photocycle of bacteriorhodopsin.Offprint requests to: K.-H. Müller     

Regression analysis of mean quality-adjusted lifetime with censored data

In clinical trials of chronic diseases such as acquired immunodeficiency syndrome, cancer, or cardiovascular diseases, the concept of quality-adjusted lifetime (QAL) has received more and more attention. In this paper, we consider the problem of how the covariates affect the mean QAL when the data are subject to right censoring. We allow a very general form for the mean model as a function of covariates. Using the idea of inverse probability weighting, we first construct a simple weighted estimating equation for the parameters in our mean model. We then find the form of the most efficient estimating equation, which yields the most efficient estimator for the regression parameters. Since the most efficient estimator depends on the distribution of the health history processes, and thus cannot be estimated nonparametrically, we consider different approaches for improving the efficiency of the simple weighted estimating equation using observed data. The applicability of these methods is demonstrated by both simulation experiments and a data example from a breast cancer clinical trial study.     

Role of 1-hydroxybenzotriazole in oxidation by laccase from Trametes versicolor. Kinetic analysis of the laccase-1-hydroxybenzotriazole couple

In the current studies, we used Lineweaver-Burke analysis to examine the role of 1-hydroxybenzotriazole (HBT) in the oxidation of various compounds by laccase from Trametes versicolor. At low concentrations, HBT was a competitive inhibitor of the oxidation, but at high concentrations, it was a noncompetitive inhibitor. Analysis of the oxidation of ferrocytochrome c by the laccase-HBT couple showed that increasing the concentration of ferrocytochrome c did not affect the V(max) but reduced the apparent K(m). In addition, in the manganese peroxidase-Mn(II) reaction, which is a typical oxidation system by mediator, the apparent K(m) and V(max) increased as the concentration of the substrate 2,6-dimethoxyphenol was increased. These results indicate that HBT is involved in the binding of laccase and substrates that laccase cannot oxidize alone.     

Increase of 1-hydroxy-2-naphthoic acid concentration as a cause of temporary cessation of growth for <Emphasis Type="Italic">Arthrobacter</Emphasis> sp. K3: Kinetic analysis

Consumption of 1-hydroxy-2-naphthoic acid by strain Arthrobacter sp. K3 was investigated. Drastic increase in the substrate concentration in flow culture was shown to induce the lag phase of growth in case the initial substrate concentration in the medium was not saturating; the culture originally saturated with the substrate (S

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K _S ) was resistant to the concentration increase. In accordance with the constructed kinetic model, lag phase results from an accumulation of intermediates in the metabolic system.

     

Biological evaluation of trace element data in human ovaries by statistical analysis

Analysis of variance, analysis of covariance, correlation coefficient, multiple correlation, and partial correlation coefficient statistical tests were applied to Cs, Cr, Co, Fe, Rb, Sc, Se, and Zn content in human ovaries in order to evaluate statistically the possible relationships between these trace elements at: the ovary as an organ, each ovarian phase separately, each morphological part independent of the ovarian phase, and between cortex and medulla within the ovarian phases. The element Cs seems to have a homogenous distribution between cortex and medulla within reproductive and menopausal phase. Zinc shows a trend to have an antagonistic relation with Cs, Cr, Co, and Fe during fetal and reproductive phases and not during menopausal phase. The relationship between Zn and Cs when Fe is kept constant could be used as a tool for the decontamination of the ovary from an abnormal Cs content or for the inhibition of the accumulation of the same element to the ovarian tissue.     

Differential inhibition of soluble and membrane-bound acetylcholinesterase forms from mouse brain by choline esters with an acyl moiety of an intermediate size

Differential inhibitions of soluble and membrane-bound acetylcholinesterase forms purified from mouse brain were examined by the comparison of kinetic constants such as a K _m value, a K_ss value (substrate inhibition constant), and IC₅₀ values of active site-selective ligands including choline esters. Membrane-bound acetylcholinesterase form (solubilized only in the presence of detergent) showed lower K_m and K_ss values than soluble acetylcholinesterase form (easily solubilized without detergent). Edrophonium expressed a slightly but significantly (p<0.01) higher inhibition of detergent-soluble acetylcholinesterase form than aqueous-soluble acetylcholinesterase form, while physostigmine inhibited both forms with a similar potency. A remarkable difference in inhibition was observed using choline esters; although choline esters with acyl chain of a short size (acetyl-to butyrylcholine) or a long size (heptanoyl- to decanoylcholine) showed a similar inhibitory potency for two forms of acetylcholinesterase, pentanoylcholine and hexanoylcholine inhibited more strongly aqueous-soluble acetylcholinesterase than detergent-soluble acetylcholinesterase. Thus, it is suggested that the two forms of AChE may be distinguished kinetically by pentanoyl- or hexanoylcholine.This work was supported in part by Agency for Defense Development.     

A method of DNA histogram analysis by computer and its evaluation by simultaneous combination with 3H-thymidine autoradiography

A method for determining the fractions of cells in the G1, S, and G2 + M phases of the cell life cycle, by quantifying DNA histograms derived from static fluorescence cytophotometry, was evaluated by simultaneous combination with 3H-thymidine autoradiography. DNA histograms were obtained by cytofluorometry on the Feulgen-stained autoradiographs of HeLa cells, and mouse and rat hepatocytes, after DNA labelling with 3H-thymidine. The synthetic histogram determined by "sum of discrete normal curves" technique was fitted to the experimental data according to a weighted least-squares method by a desk-top computer (HP 85F). The mean relative percent deviations of estimated cell cycle phase fractions from the actual phase fractions determined directly on an autoradiograph was 6.6 +/- 3.3%.     

Kinetic analysis of a high-affinity antibody/antigen interaction performed by multiple Biacore users

To explore the reliability of Biacore-based assays, 22 study participants measured the binding of prostate-specific antigen (PSA) to a monoclonal antibody (mAb). Each participant was provided with the same reagents and a detailed experimental protocol. The mAb was immobilized on the sensor chip at three different densities and a two-step assay was used to determine the kinetic and affinity parameters of the PSA/mAb complex. First, PSA was tested over a concentration range of 2.5-600 nM to obtain k(a) information. Second, to define the k(d) of this stable antigen/antibody complex accurately, the highest PSA concentration was retested with the dissociation phase of each binding cycle monitored for 1h. All participants collected data that could be analyzed to obtain kinetic parameters for the interaction. The association and the extended-dissociation data derived from the three antibody surfaces were globally fit using a simple 1:1 interaction model. The average k(a) and k(d) for the PSA/mAb interaction as calculated from the 22 analyses were (4.1+/-0.6) x 10(4) M(-1) s(-1) and (4.5+/-0.6) x 10(-5) s(-1), respectively. Overall, the experimental standard errors in the rate constants were only approximately 14%. Based on the kinetic rate constants, the affinity (K(D)) of the PSA/mAb interaction was 1.1+/-0.2 nM.     

Kinetic Analysis of Analyte Binding by Optical Biosensors: Hydrodynamic Penetration of the Analyte Flow into the Polymer Matrix Reduces the Influence of Mass Transport

I examined the penetration of the hydrodynamic flow into a polymer matrix immobilized by grafting to a surface, such as used in optical biosensors designed to measure binding reactions in real time. I show that the flow penetrates with an appreciable velocity into a region located at the tip of such a polymer brush, corresponding to about 10 to 15% of the total mass of the grafted polymer. Furthermore, under the conditions recommended for kinetic measurements, the concentrations of both polymer and immobilized ligands are low in these regions of the matrix, where crowding effects are negligible. Under such conditions, the hydrodynamic flow penetrating into the dextran matrix flow will bring the analytes close to their targets, thus considerably reducing transport problems.     

Biointeraction analysis by high-performance affinity chromatography: Kinetic studies of immobilized antibodies

A system based on high-performance affinity chromatography was developed for characterizing the binding, elution and regeneration kinetics of immobilized antibodies and immunoaffinity supports. This information was provided by using a combination of frontal analysis, split-peak analysis and peak decay analysis to determine the rate constants for antibody–antigen interactions under typical sample application and elution conditions. This technique was tested using immunoaffinity supports that contained monoclonal antibodies for 2,4-dichlorophenoxyacetic acid (2,4-D). Association equilibrium constants measured by frontal analysis for 2,4-D and related compounds with the immobilized antibodies were 1.7–12 × 10⁶ M⁻¹ at pH 7.0 and 25 °C. Split-peak analysis gave association rate constants of 1.4–12 × 10⁵ M⁻¹ s⁻¹ and calculated dissociation rate constants of 0.01–0.4 s⁻¹ under the application conditions. Elution at pH 2.5 for the analytes from the antibodies was examined by peak decay analysis and gave dissociation rate constants of 0.056–0.17 s⁻¹. A comparison of frontal analysis results after various periods of column regeneration allowed the rate of antibody regeneration to be examined, with the results giving a first-order regeneration rate constant of 2.4 × 10⁻⁴ s⁻¹. This combined approach and the information it provides should be useful in the design and optimization of immunoaffinity chromatography and other analytical methods that employ immobilized antibodies. The methods described are not limited to the particular analytes and antibodies employed in this study but should be useful in characterizing other targets, ligands and supports.     

Integrated analysis of multiple data sources reveals modular structure of biological networks

It has been a challenging task to integrate high-throughput data into investigations of the systematic and dynamic organization of biological networks. Here, we presented a simple hierarchical clustering algorithm that goes a long way to achieve this aim. Our method effectively reveals the modular structure of the yeast protein-protein interaction network and distinguishes protein complexes from functional modules by integrating high-throughput protein-protein interaction data with the added subcellular localization and expression profile data. Furthermore, we take advantage of the detected modules to provide a reliably functional context for the uncharacterized components within modules. On the other hand, the integration of various protein-protein association information makes our method robust to false-positives, especially for derived protein complexes. More importantly, this simple method can be extended naturally to other types of data fusion and provides a framework for the study of more comprehensive properties of the biological network and other forms of complex networks.