title: Bifurcation phenomena in an impulsive model of non-basal testosterone regulation.
abstract: Complex nonlinear dynamics in a recent mathematical model of non-basal testosterone regulation are investigated. In agreement with biological evidence, the pulsatile (non-basal) secretion of testosterone is modeled by frequency and amplitude modulated feedback. It is shown that, in addition to already known periodic motions with one and two pulses in the least period of a closed-loop system solution, cycles of higher periodicity and chaos are present in the model in hand. The broad range of exhibited dynamic behaviors makes the model highly promising in model-based signal processing of hormone data.
authors.affiliation: Department of Computer Science, South West State University, 50 Years of October Str., 94, Kursk 305040, Russia. zhanybai@hotmail.com
authors.forename: Zhanybai T
authors.initials: ZT
authors.lastname: Zhusubaliyev
authors.forename: Alexander N
authors.initials: AN
authors.lastname: Churilov
authors.forename: Alexander
authors.initials: A
authors.lastname: Medvedev
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D025461:Feedback, Physiological / Q000502:physiology*; D006801:Humans; D008297:Male; D008954:Models, Biological; D017711:Nonlinear Dynamics; D013737:Testis / Q000378:metabolism*; D013739:Testosterone / Q000378:metabolism*
chemical_list: D013739:Testosterone