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

Biology – Quantitative Biology – Biomolecules

Scientific paper

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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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