Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input

Guy Katriel

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arXiv · 0708.3869

Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input

Guy Katriel

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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.

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Guy Katriel. 2007-08-28. Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input. https://arxiv.org/abs/0708.3869

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