dorsal/arxiv
View SchemaMathematical modeling of the GnRH pulse and surge generator
| Authors | Frederique Clement, Jean-Pierre Francoise |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0511023 |
| URL | https://arxiv.org/abs/q-bio/0511023 |
| Journal | SIAM Journal on Applied Dynamical Systems, Vol. 6 (2007), No. 2, pp 441-456 |
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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"abstract": "We propose a mathematical model allowing for the alternating pulse and surge\npattern of GnRH (Gonadotropin Releasing Hormone) secretion. The model is based\non the coupling between two systems running on different time scales. The\nfaster system corresponds to the average activity of GnRH neurons, while the\nslower one corresponds to the average activity of regulatory neurons. The\nanalysis of the slow/fast dynamics exhibited within and between both systems\nallows to explain the different patterns (slow oscillations, fast oscillations\nand periodical surge) of GnRH secretion. Specifications on the model parameter\nvalues are derived from physiological knowledge in terms of amplitude,\nfrequency and plateau length of oscillations. The behavior of the model is\nfinally illustrated by numerical simulations reproducing natural ovarian cycles\nand either direct or indirect actions of ovarian steroids on GnRH secretion.",
"arxiv_id": "q-bio/0511023",
"authors": [
"Frederique Clement",
"Jean-Pierre Francoise"
],
"categories": [
"q-bio.TO",
"math.DS"
],
"journal_ref": "SIAM Journal on Applied Dynamical Systems, Vol. 6 (2007), No. 2,\n pp 441-456",
"title": "Mathematical modeling of the GnRH pulse and surge generator",
"url": "https://arxiv.org/abs/q-bio/0511023"
},
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