On the stability of a model of testosterone dynamics.
We prove the global asymptotic stability of a well-known delayed negative-feedback model of testosterone dynamics, which has been proposed as a model of oscillatory behavior. We establish stability (and hence the impossibility of oscillations) even in the presence of delays of arbitrary length.
Enciso
German
G
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. enciso@math.rutgers.edu
Sontag
Eduardo D
ED
D001683:Biological Clocks / Q000502:physiology*; D025461:Feedback, Physiological; D007987:Gonadotropin-Releasing Hormone / Q000097:blood / Q000378:metabolism; D006801:Humans; D007031:Hypothalamus / Q000378:metabolism; D007986:Luteinizing Hormone / Q000097:blood / Q000378:metabolism; D008297:Male; D008954:Models, Biological; D010902:Pituitary Gland / Q000378:metabolism; D013737:Testis / Q000378:metabolism; D013739:Testosterone / Q000097:blood* / Q000378:metabolism
D007987:Gonadotropin-Releasing Hormone; D013739:Testosterone; D007986:Luteinizing Hormone