Bifurcation analysis of a model for hormonal regulation of the menstrual cycle

DOI10.1016/j.mbs.2010.02.004zbMath1193.92025OpenAlexW2000282585WikidataQ43135042 ScholiaQ43135042MaRDI QIDQ975956

James F. Selgrade

Publication date: 11 June 2010

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2010.02.004

zbMATH Keywords

parametertranscritical bifurcationestradiolfollicle

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Biochemistry, molecular biology (92C40) Physiology (general) (92C30) General theory for ordinary differential equations (34A99)

Related Items (5)

Time delay in physiological systems: analyzing and modeling its impact ⋮ Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay ⋮ Modeling endocrine control of the pituitary-ovarian axis: androgenic influence and chaotic dynamics ⋮ Modeling endocrine regulation of the menstrual cycle using delay differential equations ⋮ Speed gradient method and its applications

Uses Software

• AUTO
• XPPAUT

Cites Work

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• Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle
• Singularities and groups in bifurcation theory. Volume I
• 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
• Mathematical physiology. I: Cellular physiology
• Simulating, Analyzing, and Animating Dynamical Systems

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