Abstract. This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis to reduce the dimensionality of a system of chemical kinetics equations. The method exploits the presence of disparate time scales to model the dynamics by an evolution equation on a lower-dimensional slow manifold. In this article it is shown tha...

A key challenge of single-cell RNASeq (scRNASeq) is the many genes with zero reads in some cells, but high expression in others. Modelling zeros using the Michaelis-Menten equation provides a superior fit to existing scRNASeq datasets compared to other approaches and enables fast and accurate identification of features corresponding to differentially expressed genes without prior identification...

the oxidation of n-pentanol by tetramethylammonium fluorochromate in acidic solution wasstudied using spectrophotometric technique. the reaction was arranged to be under pseudo firstorderconditions respect to the oxidant. a michaelis-menten type kinetic was observed respect tothe substrate. the reaction is catalyzed by hydrogen ions. dependences of the reaction rates ontemperature and different...

A comparison is made between conventional Michaelis-Menten kinetics and two models that take into account the duration of the conformational changes that take place at the molecular level during the catalytic cycle of a monomer. The models consider the time that elapses from the moment an enzyme-substrate complex forms until the moment a product molecule is released, as well as the recovery tim...

The immobilization of catalase was carried out from enzyme solutions in acid (pH < 3.5) and alkaline (pH > 1 1 ) medium on two kinds of soot differing by the average size of the particles. Under these conditions the peroxidase-like activity of immobilized catalase in the oxidation of phenol has been studied. The effect of the initial concentration of the substrate on the rate of the process cat...

We have made experimental studies into the enzymatic hydrolysis of cellobiose within the temperature range of 40°C to 70°C at pH 4.9, by using b-1,4-glucosidase from Aspergillus niger. At 70°C there was significant enzyme deactivation, which could be fitted to a potential deactivation model with values of n equal to 1.09 and kd to 0.1564 (g/l) 20.09 min, whereas the rate of hydrolysis could be ...

The electrogenicity and some molecular properties of the sarcoplasmic reticulum Ca2+ pump protein were studied by measuring steady-state Ca2+ pump currents. Ca2(+)-ATPase protein was solubilized from rabbit skeletal muscle sarcoplasmic reticulum membrane preparations and purified by liquid chromatography. The purified Ca(+)-ATPase molecules were reconstituted into proteoliposomes and then incor...

Based on our experience in kinetic modelling of coupled multiple metabolic pathways, we propose a generic rate equation for the dynamical modelling of metabolic kinetics. It is symmetric for forward and backward reactions. It’s Michaelis-Menten-King-Altman form makes the kinetic parameters (or functions) easy to relate to experimental values in database and to use in computation. In addition, s...

The enzymatic hydrolysis of urea by jack bean urease was investigated at 25 °C over the pH range 4–9. Reaction rate data were found to be well described by a modified Michaelis-Menten equation with a pH-dependent rate coefficient and a product inhibition term. The influence of pH on activity was interpreted in terms of perturbation of the enzyme distribution among three differently protonated f...

Michaelis and Menten's mechanism for enzymatic catalysis is remarkable both in its simplicity and its wide applicability. The extension for reversible processes, as done by Haldane, makes it even more relevant as most enzymes catalyze reactions that are reversible in nature and carry in vivo flux in both directions. Here, we decompose the reversible Michaelis-Menten equation into three terms, e...