Time scale separation in life-long ovarian follicles population dynamics model
Résumé
In this talk, we will detail population dynamics approach to study the aging of the ovarian follicle population. We revisit compartmental population dynamics model for ovarian follicles development [1] by adding follicles interaction that result (directly or indirectly) from the control exerted onto their growth and death rates by reproductive hormones. The shape of the follicle population distribution through time is obtained thanks to a time scale difference between follicle activation and follicle growth [2]. We obtain rigorously a limit model [3] that enable to study the effect of the growing follicle pool onto the quiescent one. Finally, we show how to calibrate such compartmental models on mice using published population count data and several perturbation scenarios.
Origine | Fichiers produits par l'(les) auteur(s) |
---|