Two multi-phasic models (logistic (LOG) and Michaelis-Menten (MM)) with three sub-curves were used to describe gas production kinetics of corn (CG), barley (BG), wheat (WG) and triticale (TG) grains. In each model sub curve, 1 describes the gas production caused by fermentation of the soluble fraction, gas production caused by fermentation of the non-soluble fraction is described in sub curve 2...

The construction of dynamic metabolic models at reaction network level requires the use of mechanistic enzymatic rate equations that comprise a large number of parameters. The lack of knowledge on these equations and the difficulty in the experimental identification of their associated parameters, represent nowadays the limiting factor in the construction of such models. In this study, we compa...

The Michaelis-Menten model ofenzyme kinetics has been applied widely to nutrient uptake in phytoplankton. Practically, the heavy nitrogen isotope (15N) is used to measure nitrogen incorporation, and the uptake velocity of the Michaelis-Menten expression has been obtained by normalizing the rate to particulate N. NO,uptake velocity normalized to total particulate organic N (PON) in newly upwelle...

The galacto-oligosaccharide synthesis by ?-galactosidase from Bacillus circulans is described mathematically using three kinetic models of different complexity – a simple power law approach, an extended Michaelis Menten kinetics and, in particular, advanced, innovative mechanistic model for biocatalysis. Based on detailed experimental study, comprehensive reaction network identified, and reliab...

This article revisits the stability property of a symbiotic model commensalism with Michaelis–Menten type harvesting in first commensal populations. By constructing some suitable Lyapunov functions, we provide thorough analysis dynamic behaviors subsystem composed second and third species. After that, by applying results this combining differential inequality theory, sufficient conditions which...

Many problems of enzyme kinetics can be described by a function known as the Michaelis-Menten (M-M) function. In this paper, motivated by the importance of Michaelis-Menten function in biochemistry and other biological phenomena, we have introduced a new class of generalized Pearson distribution arising from Michaelis-Menten function. Various properties of this distribution are derived, for exa...

Many enzymatic reactions in biochemistry are far more complex than the celebrated Michaelis-Menten scheme, but the observed turnover rate often obeys the hyperbolic dependence on the substrate concentration, a relation established almost a century ago for the simple Michaelis-Menten mechanism. To resolve the longstanding puzzle, we apply the flux balance method to predict the functional form of...