The authors generalise the concept of the geometric phase in stochastic kinetics to a non-cyclic evolution. Its application is demonstrated on kinetics of the Michaelis-Menten reaction. It is shown that the non-periodic geometric phase is responsible for the correction to the Michaelis-Menten law when parameters, such as a substrate concentration, are changing with time. The authors apply these...

risk-based assessment methods are commonly used at the contaminated sites by hydrocarbon pollutants. this paper presents the results of a two-dimensional finite volume model of reactive transport of biodegradable btex which have been developed for the saturated zone of an unconfined aquifer in the pump station area of tehran oil refinery, iran. the model governing equations were numerically sol...

Enzyme kinetics are usually described by the Michaelis-Menten equation, where the time-dependent decrease of substrate (-dS/dt) is a hyperbolic function of maximal velocity (Vmax), Michaelis constant (Km), and amount of substrate (S). Because the Michaelis-Menten function in its most general meaning requires an assumption of steady-state, it is less curvilinear than true enzyme kinetics. A satu...

A mathematical model of reaction-diffusion problem with Michaelis-Menten kinetics in catalyst particles arbitrary shape is investigated. Analytical expressions the concentration substrates are derived as functions Thiele modulus, modified Sherwood number, and Michaelis constant. Taylor series approach Akbari-Ganji's method utilized to determine substrate effectiveness factor. The effects factor...

Rat canalicular membranes contain microdomains enriched in cholesterol and ATP-binding cassette transporters. Cholesterol is known to regulate the activity of transporters. Here, we investigated the effect of membrane cholesterol on the transport kinetics of multidrug resistance-associated protein 2 (MRP2) and of bile salt export pump (BSEP) variants and mutants. MRP2 and BSEP were expressed wi...

Understanding the mechanism of brain glucose transport across the blood-brain barrier is of importance to understanding brain energy metabolism. The specific kinetics of glucose transport have been generally described using standard Michaelis-Menten kinetics. These models predict that the steady-state glucose concentration approaches an upper limit in the human brain when the plasma glucose lev...