DocumentCode
434618
Title
An analysis of a circadian model using the small-gain approach to monotone systems
Author
Angeli, David ; Sontag, Eduardo D.
Author_Institution
Dip. Sistemi e Informatica, Florence Univ., Firenze, Italy
Volume
1
fYear
2004
fDate
17-17 Dec. 2004
Firstpage
575
Abstract
In this note, we show how certain properties of Goldbeter´s 1995 model for circadian oscillations can be proved mathematically, using techniques from the recently developed theory of monotone systems with inputs and outputs. The theory establishes global asymptotic stability, and in particular no oscillations, if the rate of transcription is somewhat smaller than that assumed by Goldbeter. This stability persists even under arbitrary delays in the feedback loop.
Keywords
asymptotic stability; closed loop systems; delays; feedback; molecular biophysics; nonlinear control systems; oscillations; arbitrary delays; circadian model; circadian oscillations; feedback loop; global asymptotic stability; monotone systems; small-gain approach; Asymptotic stability; Biological system modeling; Degradation; Delay; Feedback loop; Mathematical model; Mathematics; Negative feedback loops; Proteins; Virtual manufacturing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location
Nassau
ISSN
0191-2216
Print_ISBN
0-7803-8682-5
Type
conf
DOI
10.1109/CDC.2004.1428692
Filename
1428692
Link To Document