F. Clément and D. Monniaux, Multiscale modelling of ovarian follicular selection, Progress in Biophysics and Molecular Biology, vol.113, issue.3, pp.398-408, 2013.
DOI : 10.1016/j.pbiomolbio.2012.12.005

F. Clément, P. Michel, D. Monniaux, and T. Stiehl, Coupled Somatic Cell Kinetics and Germ Cell Growth: Multiscale Model-Based Insight on Ovarian Follicular Development, Multiscale Modeling & Simulation, vol.11, issue.3, pp.719-746, 2013.
DOI : 10.1137/120897249

A. Vidal and F. Clément, A Dynamical Model for the Control of the Gonadotrophin-Releasing Hormone Neurosecretory System, Journal of Neuroendocrinology, vol.152, issue.12, pp.1251-1266, 2010.
DOI : 10.1111/j.1365-2826.2010.02055.x

M. Krupa, A. Vidal, and F. Clément, A Network Model of the Periodic Synchronization Process in the Dynamics of Calcium Concentration in GnRH Neurons, The Journal of Mathematical Neuroscience, vol.3, issue.1, 2013.
DOI : 10.1137/120867949

URL : https://hal.archives-ouvertes.fr/hal-00822007

F. Clément, M. Gruet, P. Monget, M. Terqui, E. Jolivet et al., Growth kinetics of the granulosa cell population in ovarian follicles: an approach by mathematical modelling, Cell Proliferation, vol.30, issue.6, pp.255-570, 1997.
DOI : 10.1046/j.1365-2184.1997.00090.x

N. Echenim, D. Monniaux, M. Sorine, and F. Clément, Multi-scale modeling of the follicle selection process in the ovary, Mathematical Biosciences, vol.198, issue.1, pp.57-79, 2005.
DOI : 10.1016/j.mbs.2005.05.003

URL : https://hal.archives-ouvertes.fr/inria-00343961

F. Clément and A. Vidal, Foliation-Based Parameter Tuning in a Model of the GnRH Pulse and Surge Generator, SIAM Journal on Applied Dynamical Systems, vol.8, issue.4, pp.1591-1631, 2009.
DOI : 10.1137/080732237

F. Clément and J. Françoise, Mathematical Modeling of the GnRH Pulse and Surge Generator, SIAM Journal on Applied Dynamical Systems, vol.6, issue.2, pp.441-456, 2007.
DOI : 10.1137/060673825

R. J. Scaramuzzi, D. T. Baird, B. K. Campbell, M. Driancourt, J. Dupont et al., Regulation of folliculogenesis and the determination of ovulation rate in ruminants, Reproduction, Fertility and Development, vol.23, issue.3, pp.444-467, 2011.
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URL : https://hal.archives-ouvertes.fr/hal-01129490

T. Lundy, P. Smith, A. O-'connell, N. L. Hudson, and K. P. Mcnatty, Populations of granulosa cells in small follicles of the sheep ovary, Reproduction, vol.115, issue.2, pp.251-262, 1999.
DOI : 10.1530/jrf.0.1150251

C. Christian and S. Moenter, The Neurobiology of Preovulatory and Estradiol-Induced Gonadotropin-Releasing Hormone Surges, Endocrine Reviews, vol.31, issue.4, pp.544-577, 2010.
DOI : 10.1210/er.2009-0023

F. Clément and A. Vidal, Modeling the Dynamics of Gonadotropin-Releasing Hormone (GnRH) Secretion in the Course of an Ovarian Cycle, Computational Neuroendocrinology, Masterclasses in Neuroendocrinology, 2016.
DOI : 10.1002/9781119159438.ch9

E. Terasawa, W. K. Schanhofer, K. L. Keen, and L. Luchansky, Intracellular Ca2+ oscillations in luteinizing hormone-releasing hormone neurons derived from the embryonic olfactory placode of the rhesus monkey, J. Neurosci, vol.19, issue.14, pp.5898-5909, 1999.

F. Clément, J. Coron, and P. Shang, Optimal Control of Cell Mass and Maturity in a Model of Follicular Ovulation, SIAM Journal on Control and Optimization, vol.51, issue.2, pp.824-847, 2013.
DOI : 10.1137/120862247

P. Michel, Multiscale Modeling of Follicular Ovulation as a Mass and Maturity Dynamical System, Multiscale Modeling & Simulation, vol.9, issue.1, pp.282-313, 2011.
DOI : 10.1137/090745738

URL : https://hal.archives-ouvertes.fr/hal-01485005

P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations, Journal of Mathematical Analysis and Applications, vol.401, issue.2, pp.896-920, 2013.
DOI : 10.1016/j.jmaa.2013.01.001

URL : https://hal.archives-ouvertes.fr/hal-00841184

B. Aymard, F. Clément, D. Monniaux, and M. Postel, Cell-Kinetics Based Calibration of a Multiscale Model of Structured Cell Populations in Ovarian Follicles, SIAM Journal on Applied Mathematics, vol.76, issue.4
DOI : 10.1137/15M1030327

URL : https://hal.archives-ouvertes.fr/hal-01186381

D. M. Keenan, W. Sun, and J. D. Veldhuis, A Stochastic Biomathematical Model of the Male Reproductive Hormone System, SIAM Journal on Applied Mathematics, vol.61, issue.3, pp.934-965, 2000.
DOI : 10.1137/S0036139998334718

I. R. Thompson and U. B. Kaiser, GnRH pulse frequency-dependent differential regulation of LH and FSH gene expression, Molecular and Cellular Endocrinology, vol.385, issue.1-2, pp.28-35, 2014.
DOI : 10.1016/j.mce.2013.09.012

S. Lim, L. Pnueli, J. H. Tan, Z. Naor, G. Rajagopal et al., Negative Feedback Governs Gonadotrope Frequency-Decoding of Gonadotropin Releasing Hormone Pulse-Frequency, PLoS ONE, vol.1, issue.9, p.7244, 2009.
DOI : 10.1371/journal.pone.0007244.s010

R. Bertram and Y. X. Li, A Mathematical Model for the Actions of Activin, Inhibin, and Follistatin on Pituitary Gonadotrophs, Bulletin of Mathematical Biology, vol.7, issue.suppl 5, pp.2211-2228, 2008.
DOI : 10.1007/s11538-008-9341-2

P. A. Fletcher, F. Clément, A. Vidal, J. Tabak, and R. Bertram, Interpreting Frequency Responses to Dose-Conserved Pulsatile Input Signals in Simple Cell Signaling Motifs, PLoS ONE, vol.4, issue.4, p.95613, 2014.
DOI : 10.1371/journal.pone.0095613.g010

URL : https://hal.archives-ouvertes.fr/hal-00981377

I. Clarke, L. Moore, and J. Veldhuis, Intensive Direct Cavernous Sinus Sampling Identifies High-Frequency, Nearly Random Patterns of FSH Secretion in Ovariectomized Ewes: Combined Appraisal by RIA and Bioassay, Endocrinology, vol.143, issue.1, pp.117-129, 2002.
DOI : 10.1210/endo.143.1.8644

J. D. Veldhuis and M. L. Johnson, A Review and Appraisal of Deconvolution Methods to Evaluate in vivo Neuroendocrine Secretory Events, Journal of Neuroendocrinology, vol.243, issue.6, pp.755-771, 1990.
DOI : 10.1016/0022-4731(89)90486-X

A. Vidal, Q. Zhang, C. Médigue, S. Fabre, and F. Clément, DynPeak: An Algorithm for Pulse Detection and Frequency Analysis in Hormonal Time Series, PLoS ONE, vol.2, issue.7, p.39001, 2012.
DOI : 10.1371/journal.pone.0039001.s006

URL : https://hal.archives-ouvertes.fr/hal-00654790

A. Vidal, C. Médigue, B. Malpaux, and F. Clément, Endogenous circannual rhythm in luteinizing hormone secretion: insight from signal analysis coupled with mathematical modelling, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.84, issue.21, pp.4759-4777, 2009.
DOI : 10.1073/pnas.84.21.7686