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Mathematical modeling of the GnRH pulse and surge generator

Abstract : We propose a mathematical model allowing for the alternating pulse and surge pattern of GnRH (Gonadotropin Releasing Hormone) secretion. The model is based on the coupling between two systems running on different time scales. The faster system corresponds to the average activity of GnRH neurons, while the slower one corresponds to the average activity of regulatory neurons. The analysis of the slow/fast dynamics exhibited within and between both systems allows to explain the different patterns (slow oscillations, fast oscillations and periodical surge) of GnRH secretion. Specifications on the model parameter values are derived from physiological knowledge in terms of amplitude, frequency and plateau length of oscillations. The behavior of the model is finally illustrated by numerical simulations reproducing natural ovarian cycles and either direct or indirect actions of ovarian steroids on GnRH secretion.
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https://hal.inria.fr/inria-00343954
Contributor : Frederique Clement <>
Submitted on : Wednesday, December 3, 2008 - 11:45:38 AM
Last modification on : Monday, December 14, 2020 - 9:42:51 AM

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Frédérique Clément, Jean-Pierre Françoise. Mathematical modeling of the GnRH pulse and surge generator. SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2007, 6 (2), pp.441-456. ⟨10.1137/060673825⟩. ⟨inria-00343954⟩

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