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Cited by 6Hypothalamic control of reproductive hormonesReproductive Biology and FertilityOvarian function and disorders

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Mathematical modeling and simulation of the female menstrual cycle

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Reinecke, Isabel·2009·Freie Universität Berlin
DOI 10.17169/refubium-5862
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Abstract

In this thesis a complex mathematical model for the female menstrual cycle is developed. The final model describes the dynamics of 49 hormones, enzymes, receptors (partly at different states and in different compartments), follicular masses, and the GnRH pulse generator by delay differential equations. In order to simplify parameter estimation, a method for the decomposition into several model parts is introduced here. The simulation of this model correctly mimics the qualitative dynamics for essential elements in comparison with the given experimental data. Some first applications to medical treatments lead to realistic results confirming the functionality of the model.

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Metadata

Authors
Reinecke, I.
Corresponding author
Reinecke, Isabel
Venue
Freie Universität Berlin
Publisher
Freie Universität Berlin
Published
2009
DOI
10.17169/refubium-5862
OpenAlex
W2120999017
Cited by
6
References
2
Citations by year
2021: 1 · 2018: 1 · 2014: 1 · 2012: 2
Type
dissertation
Language
en
Open access
Licence
www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen
Locations
  • Universitätsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver (publishedVersion)
  • Refubium (Universitätsbibliothek der Freien Universität Berlin) (submittedVersion)
  • Universitätsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver
Topics
  • Health Sciences › Medicine › Reproductive Medicine › Hypothalamic control of reproductive hormones
  • Health Sciences › Medicine › Reproductive Medicine › Reproductive Biology and Fertility
  • Health Sciences › Medicine › Reproductive Medicine › Ovarian function and disorders
Keywords
mathematical model, delay differential equations, GnRH pulse generator, hormone dynamics, model decomposition, parameter estimation, endocrine system

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