79 citations · 181 across the 11 of their papers we have counts for
11 papers
Stochastic nonlinear model for somatic cell population dynamics during ovarian follicle activation
Frédérique Clément, Frédérique Robin, Romain Yvinec
In mammals, female germ cells are sheltered within somatic structures called ovarian follicles, which remain in a quiescent state until they get activated, all along reproductive l…
Advances in computational modeling approaches in pituitary gonadotropin signaling
Romain Yvinec, Pascale Crépieux, Eric Reiter +2
Pituitary gonadotropins play an essential and pivotal role in the control of human and animal reproduction within the hypothalamic-pituitary-gonadal (HPG) axis. The computational m…
Analysis and calibration of a linear model for structured cell populations with unidirectional motion : Application to the morphogenesis of ovarian follicles
Frédérique Clément, Frédérique Robin, Romain Yvinec
We analyze a multi-type age dependent model for cell populations subject to unidirectional motion, in both a stochastic and deterministic framework. Cells are distributed into succ…
Border collision bifurcations of stroboscopic maps in periodically driven spiking models
Albert Granados, Martin Krupa, Frédérique Clément
In this work we consider a general non-autonomous hybrid system based on the integrate-and-fire model, widely used as simplified version of neuronal models and other types of excit…
Mixed-mode oscillations in a multiple time scale phantom bursting system
Maciej Krupa, Alexandre Vidal, Mathieu Desroches +1
In this work we study mixed mode oscillations in a model of secretion of GnRH (Gonadotropin Releasing Hormone). The model is a phantom burster consisting of two feedforward coupled…
Optimal control of cell mass and maturity in a model of follicular ovulation
Frédérique Clément, Jean-Michel Coron, Peipei Shang
In this paper, we study optimal control problems associated with a scalar hyperbolic conservation law modeling the development of ovarian follicles. Changes in the age and maturity…