Dynamical aspects of the total QSSA in Enzyme Kinetics
Dynamical Systems
2017-02-20 v1
Abstract
In this paper we prove that the well-known quasi-steady state approximations, commonly used in enzyme kinetics, which can be interpreted as the reduced system of a differential system depending on a perturbative parameter, according to Tihonov theory, are asymptotically equivalent to the center manifold of the system. This allows to give a mathematical foundation for the application of a mechanistic method to determine the center manifold of (at this moment, still simple) enzyme reactions.
Keywords
Cite
@article{arxiv.1702.05351,
title = {Dynamical aspects of the total QSSA in Enzyme Kinetics},
author = {Alberto Maria Bersani and Enrico Bersani and Alessandro Borri and Pierluigi Vellucci},
journal= {arXiv preprint arXiv:1702.05351},
year = {2017}
}