๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Closed Form Solution for Time-dependent Enzyme Kinetics

โœ Scribed by S. Schnell; C. Mendoza

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
189 KB
Volume
187
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

โœฆ Synopsis

Based on the quasi-steady-state approximation, a closed form solution for the total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is reported for the first time. Such a solution is given in terms of the omega function, which satisfies the transcendental equation W(x)exp(W(x)) = x, and enables the generation of the corresponding time derivatives thus fully characterizing the system. The agreement with results obtained from both the inner (fast region) and outer (slow region) solutions of singular perturbation procedures is very good, but an advantage of the present formalism is the analytic representation of the transition where the perturbation methods are shown to be inaccurate.

๐Ÿ“œ SIMILAR VOLUMES

Time-dependent Closed Form Solutions for
Time-dependent Closed Form Solutions for Fully Competitive Enzyme Reactions
โœ S. Schnell; C. Mendoza ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Springer ๐ŸŒ English โš– 149 KB

An analytic formalism developed earlier to describe the time evolution of the basic enzyme reaction is extended to fully competitive systems. Time-dependent closed form solutions are derived for the three nominal cases of competition: even, slow and fast inhibitors, allowing for the first time the c

Closed-form solution for a class of cont
Closed-form solution for a class of continuous-time algebraic Riccati equations
โœ Alejandro J. Rojas ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 807 KB

In the present paper we obtain a closed-form solution for a class of continuous-time algebraic Riccati equations (AREs) with vanishing state weight. The ARE in such a class solves a minimum energy control problem. The obtained closed-form solution is used to prove a link between two independent fund

THE CLOSED-FORM SOLUTION FOR THE FORCED
THE CLOSED-FORM SOLUTION FOR THE FORCED VIBRATION OF NON-UNIFORM PLATES WITH DISTRIBUTED TIME-DEPENDENT BOUNDARY CONDITIONS
โœ S.M. LIN ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

The closed-form solution for the forced vibration of a non-uniform plate with distributed time-dependent boundary conditions is obtained. Three Levy-type solutions for a plate with di!erent boundary conditions are studied. The two-dimensional system is transformed so that it becomes a one-dimensiona