Existence and Stability Analysis of Solutions for an Ultradian Glucocorticoid Rhythmicity and Acute Stress Model

DOI10.1007/978-3-030-50302-4_8zbMath1478.92042arXiv1904.09012OpenAlexW2938562651MaRDI QIDQ5013930

Nataliya Vasylyeva, Marina Chugunova, Casey Johnson, Roman M. Taranets

Publication date: 3 December 2021

Published in: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09012

zbMATH Keywords

stabilityperiodic solutionstime delaynonlinear differential equationsHPA

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Physiology (general) (92C30) Periodic solutions to functional-differential equations (34K13)

Cites Work

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• Mathematical modeling of the hypothalamic -- pituitary -- adrenal system activity
• 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
• The Operator of Translation Along the Trajectories of Differential Equations
• A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans

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