Bifurcation analysis of a menstrual cycle model reveals multiple mechanisms linking testosterone and classical PCOS

DOI10.1016/j.jtbi.2014.07.020zbMath1303.92024OpenAlexW2162560755WikidataQ43680660 ScholiaQ43680660MaRDI QIDQ485645

James F. Selgrade, Angelean O. Hendrix

Publication date: 13 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2014.07.020

zbMATH Keywords

parametershysteresisestradiolfolliclepituitary

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items

Bifurcation Analysis of the Wound Rotor Induction Motor, Reduced model for female endocrine dynamics: validation and functional variations, Differential flatness properties and multivariable adaptive fuzzy control of hormonal system dynamics

Cites Work

• Unnamed Item
• 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
• A mathematical model of the human menstrual cycle for the administration of GnRH analogues
• A lifelong model for the female reproductive cycle with an antimüllerian hormone treatment to delay menopause
• A model for hormonal control of the menstrual cycle: structural consistency but sensitivity with regard to data
• A complex mathematical model of the human menstrual cycle
• Modeling endocrine control of the pituitary-ovarian axis: androgenic influence and chaotic dynamics
• Mathematical physiology. I: Cellular physiology
• Simulating, Analyzing, and Animating Dynamical Systems
• A mathematical model for the human menstrual cycle
• A Simplex Method for Function Minimization