This note studies the number of positive steady states in biomolecular reactions consisting of activation/deactivation futile cycles, such as those arising from phosphorylations and dephosphorylations at each level of a MAPK cascade. It is shown that (1) for some parameter ranges, there are at least n + 1 (if n is even) or n (if n is odd) steady states; (2) There never are more than 2n steady s...

A biodegradable polyester resin was polymerized from N-benzyloxycarbonylL -glutamic acid and ethylene glycol. Rhizopus delemar lipase was used as a biocatalyst for the rupture of ester bonds during the hydrolysis studies. Depolymerization was observed to followa Michaelis–Menten mechanism, with the maximumrate of monomer formation dP/dtmax = 1.12 x 10-8 mol/s and the rate constant Km x 2.03 x 1...

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...

in present study, the kinetic parameters of purified trypsin from pyloric caeca of common kilka (c.cultriventris caspia) were measured using the amidolytic (bapna) and esterolytic (tame) substrates. the results of the kinetic comparison between bapna and tame substrates showed that kinetic parameters including maximum velocity (vmax), catalytic constant (kcat) and catalytic efficiency (kcat/km)...