A mathematical model of the human menstrual cycle for the administration of GnRH analogues

DOI10.1016/j.jtbi.2012.11.020zbMath1342.92058OpenAlexW2124195948WikidataQ51291926 ScholiaQ51291926MaRDI QIDQ530447

Steven W. Martin, Claudia Stötzel, Hannah M. Jones, Piet H. van der Graaf, David-Olivier Azulay, Peter Deuflhard, Susanna Röblitz

Publication date: 1 August 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.11.020

zbMATH Keywords

systems pharmacologyreproductionperiodic behaviorendocrinologyhormone secretion

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items (11)

Modelling female physiology from head to toe: impact of sex hormones, menstrual cycle, and pregnancy ⋮ Hormonal regulation of ovarian follicle growth in humans: model-based exploration of cycle variability and parameter sensitivities ⋮ Reduced model for female endocrine dynamics: validation and functional variations ⋮ Differential flatness properties and multivariable adaptive fuzzy control of hormonal system dynamics ⋮ Modeling endocrine regulation of the menstrual cycle using delay differential equations ⋮ Bifurcation analysis of a menstrual cycle model reveals multiple mechanisms linking testosterone and classical PCOS ⋮ Models in neuroendocrinology ⋮ A delay differential equation model of follicle waves in women ⋮ A phenomenological-based model of the endometrial growth and shedding during the menstrual cycle ⋮ Parameter estimation for a morphochemical reaction-diffusion model of electrochemical pattern formation ⋮ Sequential Escapes and Synchrony Breaking for Networks of Bistable Oscillatory Nodes

Uses Software

• NewtonLib
• BioPARKIN

Cites Work

• Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle
• Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay
• Numerical identification of selected rate constants in large chemical reaction systems
• A mathematical model for the actions of activin, inhibin, and follistatin on pituitary gonado\-trophs
• One-step and extrapolation methods for differential-algebraic systems
• A complex mathematical model of the human menstrual cycle
• A Stochastic Biomathematical Model of the Male Reproductive Hormone System
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