Diauxic behaviour for biological processes at various timescales.
Abstract
In the present paper we provide the conditions guaranteeing the
generalization of so-called {\it diauxic} behaviour of
solutions of ODEs. This behaviour was described by Monod in 1949 in the
context of bacterial growth. Then a similar behaviour was observed and
described referring to dynamic of CDK1 protein during cell cycle. The
diauxic behaviour is described in terms of inflection points.