dose-dependent pharmacokinetic of phenytoin necessitates the estimation of the maximum rate of metabolism (vm) and the michaelis-menten constant (km) in a concerned population. the aim of this study was to determine the pharmacokinetic parameters of phenytoin in a sample of iranian patients to optimize the antiepileptic pharmacotherapy. fourty patients who received a constant dose of phenytoin ...

Biosensor behaviour is characterised by non-linear differential equations that describe well-defined physical, chemical, and biological processes. Mathematical modelling of these biosensors highly desirable since they have many applications. These models enable the prediction a variety their properties. In this study, cyclic conversion substrate in an amperometric biosensor with oxidase enzyme ...

Anna Ochab–Marcinek Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30–059 Kraków, Poland (Dated: 13 May 2005) Abstract We study a spatially inhomogeneous model of cancer growth based on Michaelis–Menten kinetics, subjected to additive Gaussian noise and multiplicative dichotomous noise. In presence of the latter, we can observe a transition between two stationary ...

The kinetics of hepatic indocyanine green (ICG) uptake have been analysed in 14 patients with chronic active liver disease. The removal of incremental, submaximal ICG doses were compatible with Michaelis-Menten kinetics in approximately 80% of studies in patients allowing the calculation of the maximal rate of removal (Rmax) and the Michaelis constant (Km). Neither of these variables correlated...

The presence of organophosphate pesticides could inhibit the activity alpha-naphthyl acetate esterase (ANAE), which use as fundamental for biosensor applications. k-carrageenan was used immobilization ANAE extracted from wheat-based sources. free and immobilized assessed optimum at a range temperature pH. Enzyme kinetic studies were performed using Michaelis-Menten parameters Lineweaver-Burk, L...

We study the two-dimensional reduction of the Michaelis-Menten reaction of enzyme kinetics. First, we prove the existence and uniqueness of a slow manifold between the horizontal and vertical isoclines. Second, we determine the concavity of all solutions in the first quadrant. Third, we establish the asymptotic behaviour of all solutions near the origin, which generally is not given by a Taylor...

We present a simple mathematical model for the synthesis of extracellular proteins by a class of bacteria which secrete significant quantities of this exoprotein in late-exponential and stationary phases. This model is the simplest generalization of Michaelis-Menten kinetics (the Monod model) and agrees well with laboratory experiments in batch culture. The model may serve as a simple prototype...

Stichococcus bacillaris Naeg., a green soil alga, can grow in the presence of methionine sulfoximine (MSX), an inhibitor of glutamine synthetase, by maintaining a high level of NADPH-glutamate dehydrogenase activity. MSX-grown cells can utilize both NH(4) (+) and NO(3) (-) as nitrogen source for growth. [(14)C]Methylammonium is not metabolized by S. bacillaris, and is transported by a carrier s...

The logistic temporal solution of the generalized Michaelis-Menten kinetics is employed to provide a quantum basis for the tunneling time and energy evaluations of Brownian enzymic reactions. The monosubstrate and mixed inhibition cases are treated and the associated quantum diagrams of the reaction mechanisms are depicted in terms of intermediate enzyme complexes. The methodology is suited for...