# Dynamical aspects of the total QSSA in Enzyme Kinetics

Source: [Dynamical aspects of the total QSSA in Enzyme Kinetics](<https://www.sota2.com/research/paper/68fa53a71e209131ce984db7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:33:14.001Z

Authors: Alberto Maria Bersani, Enrico Bersani, Alessandro Borri, Pierluigi Vellucci

Published: 2017-02-17T14:18:15.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1702.05351>)

[PDF](<https://arxiv.org/pdf/1702.05351.pdf>)