Stability and oscillations of a negative feedback delay model for the control of testosterone secretion.
A modified time-lag model for the control of the secretion of the hormone testosterone is proposed. Conditions for switching of the steady state from stable to unstable are derived. Questions concerning small amplitude oscillations of solutions are addressed analytically and numerically.
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Department of Mathematics, Jadavpur University, Calcutta, India.
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D003198:Computer Simulation; D005246:Feedback; D005260:Female; D007987:Gonadotropin-Releasing Hormone / Q000502:physiology; D006801:Humans; D007031:Hypothalamus / Q000502:physiology; D007986:Luteinizing Hormone / Q000502:physiology; D008297:Male; D008433:Mathematics; D008954:Models, Biological; D010902:Pituitary Gland / Q000502:physiology; D013737:Testis / Q000378:metabolism; D013739:Testosterone / Q000378:metabolism*; D013997:Time Factors
D007987:Gonadotropin-Releasing Hormone; D013739:Testosterone; D007986:Luteinizing Hormone