The minimal model of the hypothalamic-pituitary-adrenal axis

DOI10.1007/s00285-010-0384-2zbMath1311.92075OpenAlexW2022766125WikidataQ51630899 ScholiaQ51630899MaRDI QIDQ659057

Frank Vinther, Morten Andersen, Johnny Tom Ottesen

Publication date: 9 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-010-0384-2

zbMATH Keywords

dynamical systemmathematical modelingACTHcortisolCRHHPA axis

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Mathematical biology. Vol. 1: An introduction.
• A mathematical model of the hypothalamo-pituitary-adrenocortical system and its stability analysis
• Mathematical modeling of the hypothalamic -- pituitary -- adrenal system activity
• STABILITY OF A GENERAL DELAY DIFFERENTIAL MODEL OF THE HYPOTHALAMO-PITUITARY-ADRENOCORTICAL SYSTEM
• Variability in the secretion of corticotropin-releasing hormone, adrenocorticotropic hormone and cortisol and understandability of the hypothalamic-pituitary-adrenal axis dynamics--a mathematical study based on clinical evidence

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