Work

Mathematical modeling and simulation of the female menstrual cycle

Year: 2009
Type: dissertation
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.
Language: English
Field: Medicine
Open Access status: green
OpenAlex ID: W2120999017
Cites: 83
Cited by: 6
Related to: 10