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

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

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.
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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