Title :
Analysis of a pulse-modulated model of endocrine regulation with time-delay
Author :
Churilov, Alexander ; Medvedev, Alexander ; Mattsson, Per
Author_Institution :
Dept. of Math. & Mech., St. Petersburg State Univ., St. Petersburg, Russia
Abstract :
The effects of time delay in the continuous part of a pulse-modulated model of non-basal endocrine feedback regulation are investigated. Conditions for the existence and local orbital stability of periodical solutions with m impulses in the least period (m-cycles) are derived. Applied to the case of testosterone regulation in the human male, the model indicates that increasing time delays in the system in hand typically lead to less complex dynamic pattern in the closed-loop system by giving rise to stable cycles of lower periodicity.
Keywords :
biology; closed loop systems; delay systems; gender issues; large-scale systems; pulse modulation; closed-loop system; complex dynamic pattern; endocrine regulation; human male; local orbital stability; nonbasal endocrine feedback regulation; periodical solution; pulse-modulated model; testosterone regulation; time delay; Biochemistry; Delay; Delay effects; Equations; Mathematical model; Orbits; Vectors;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426771
