## Section: New Results

### Circadian rhythm and cell population growth

Participant : Thomas Lepoutre.

*In collaboration with J. Clairambault and S. Gaubert, BANG
(INRIA Rocquencourt)*.

We proved in [20] a convexity property of the Floquet eigenvalue. It extends the classical Kingman's inequality for positive matrices. On a modelling point of view, it gives a generic argument for chronotherapy, since at the toxicity level, this implies that periodic treatment are in general (that is on average) less toxic than constant treatment.