Mathematical Biology Seminar
Friday, October 14, 2022, 12:00pm, Physics 119
Romain Yvinec (INRAE, Physiologie de la Reproduction)
Time scale separation in life-long ovarian follicles population dynamics model
Abstract:- 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 [4].
References
[1] M. Faddy, E. Jones, and R. Edwards, An analytical model for ovarian follicle dynamics, J. Exp. Zool.,
197:173–185, 1976.
[2] C. Bonnet, K. Chahour, F. Clément, M. Postel, and R. Yvinec, Multiscale population dynamics in
reproductive biology : Singular perturbation reduction in deterministic and stochastic models, ESAIM
Proc. Surveys, 67:72–99, 2020.
[3] G. Ballif, F. Clément and R. Yvinec, Averaging of a Stochastic Slow-Fast Model for Population Dy-
namics: Application to the Development of Ovarian Follicles, SIAM J. Appl. Maths., 82(1):359–380,
2022.
[4] G. Ballif, F. Clément and R. Yvinec, nonlinear compartmental modeling to monitor ovarian follicle population dynamics on
the whole lifespan, hal-03739205.
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