Biology – Quantitative Biology – Biomolecules
Scientific paper
2007-08-28
Discrete & Continuous Dynamical Systems - Supplements, September 2007
Biology
Quantitative Biology
Biomolecules
Scientific paper
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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