A Complex Mathematical Model of the Human Menstrual Cycle
Please always quote using this URN: urn:nbn:de:0297-zib-9112
- This paper aims at presenting the complex coupled network of the human menstrual cycle to the interested community. Beyond the presently popular smaller models, where important network components arise only as extremely simplified source terms, we add: the GnRH pulse generator in the hypothalamus, receptor binding, and the biosynthesis in the ovaries. Simulation and parameter identification are left to a forthcoming paper.
Author: | Isabel Reinecke, Peter Deuflhard |
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Document Type: | ZIB-Report |
MSC-Classification: | 34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Kxx Functional-differential and differential-difference equations [See also 37-XX] / 34K14 Almost and pseudo-periodic solutions |
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C30 Physiology (general) | |
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general) | |
Date of first Publication: | 2006/03/30 |
Series (Serial Number): | ZIB-Report (06-18) |
ZIB-Reportnumber: | 06-18 |
Published in: | A largely revised version appeared in: Journal of Theoretical Biology 247 (2007) 303-330 |