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2007, 2007(Special): 551-557. doi: 10.3934/proc.2007.2007.551

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

Guy Katriel 1,

1. 

Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904

Received  August 2006 Revised  April 2007 Published  September 2007

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: periodic solutions, Enzyme kinetics, periodic forcing, topological degree..
Mathematics Subject Classification: Primary: 92C45, 34C25; Secondary: 47H1.
Citation: Guy Katriel. Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input. Conference Publications, 2007, 2007 (Special) : 551-557. doi: 10.3934/proc.2007.2007.551
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