Time scale separation in life-long ovarian follicles population dynamics model - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement
Communication Dans Un Congrès Année : 2022

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.
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hal-04194057 , version 1 (01-09-2023)

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  • HAL Id : hal-04194057 , version 1

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Romain Yvinec. Time scale separation in life-long ovarian follicles population dynamics model. 12. European Conference on Mathematical and Theoretical Biology - ECMTB 2022, European Society for Mathematical and Theoretical Biology (ESMTB); Society for Mathematical Biology (SMB), Sep 2022, Heidelberg, Germany. pp.110-111. ⟨hal-04194057⟩
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