DocumentCode
3178519
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
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
362
Lastpage
367
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426771
Filename
6426771
Link To Document