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.
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA. enciso@math.rutgers.edu
German
G
Enciso
Eduardo D
ED
Sontag
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