Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input
Biomolecules
2011-11-10 v1 Adaptation and Self-Organizing Systems
Abstract
Considering a basic enzyme-catalysed reaction, in which the rate of input of the substrate varies periodically in time, we give a necessary and sufficient condition for the existence of a periodic solution of the reaction equations. The proof employs the Leray-Schauder degree, applied to an appropriately constructed homotopy.
Keywords
Cite
@article{arxiv.0708.3869,
title = {Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input},
author = {Guy Katriel},
journal= {arXiv preprint arXiv:0708.3869},
year = {2011}
}