Abstract
The biological meaning of follicular development is to free fertilizable oocytes at the time of ovulation. The selection of ovulatory follicles in mammal ovaries is an FSH dependent selection process. In this paper, we design a multiscale model of follicular development, where selection arises from the feedback between the ovaries and the pituitary gland and appeals to control theory concepts. Each ovarian follicle is characterized by a 2D density function giving an age and maturity-structured description of its cell population. The control intervenes in the velocity and loss terms of the conservation law ruling the changes in the density. This leads to some new control problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G.S. Greenwald and S.K. Roy. Follicular development and its control. In E. Knobil and J.D. Neill, editors, The Physiology of Reproduction, pages 629–724. Raven Press, New York, 1994.
F. Clément, M.-A. Gruet, P. Monget, M. Terqui, E. Jolivet, and D. Monniaux. Growth kinetics of the granulosa cell population in ovarian follicles: an approach by mathematical modelling. Cell Prolif., 30:255–270, 1997.
F. Clément. Optimal control of the cell dynamics in the granulosa of ovulatory follicles. Math. Biosci., 152:123–142, 1998.
F. Clément, D. Monniaux, J. Stark, K. Hardy, J-C Thalabard, S. Franks, and D. Claude. Mathematical model of fsh-induced camp production in ovarian follicles. Am. J. Physiol. (Endocrinol. Metab.), 281:E35–E53, 2001.
H.M. Lacker and E. Akin. How do the ovaries count? Math. Biosci., 90:305–332, 1988.
G.E. Mann, B.K. Campbell, A.S. McNeilly, and D.T. Baird. The role of inhibin and oestradiol in the control of fsh secretion in the sheep. J. Endocrinol., 133:381–391, 1992.
K.P. McNatty, M. Gibb, D. Dobson, D.C. Thurley, and J.K. Findlay. Changes in the concentration of gonadotropic and steroidal hormones in the antral fluid of ovarian follicle throughout the oestrous cycle of the sheep. Aust. J. Biol. Sci., 34:67–80, 1981.
R.J. Scaramuzzi, N.R. Adams, D.T. Baird, B.K. Campbell, J.A. Downing, J.K. Findlay, K.M. Henderson, G.B. Martin, K.P. McNatty, A.S. McNeilly, and C.G. Tsonis. A model for follicle selection and the determination of ovulation rate in the ewe. Reprod. Fertil. Dev., 5:459–478, 1993.
N. Echenim, D. Monniaux, M. Sorine, and F. Clément. Multi-scale modeling of the follicle selection process in the ovary. Math. Biosci., 198:57–79, 2005.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Echenim, N., Clément, F., Sorine, M. (2007). A Multiscale Model for the Selection Control of Ovulatory Follicles. In: Queinnec, I., Tarbouriech, S., Garcia, G., Niculescu, SI. (eds) Biology and Control Theory: Current Challenges. Lecture Notes in Control and Information Sciences, vol 357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71988-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-71988-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71987-8
Online ISBN: 978-3-540-71988-5
eBook Packages: EngineeringEngineering (R0)