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.
| Original language | American English |
|---|---|
| Article number | TuB04.2 |
| Pages (from-to) | 575-578 |
| Number of pages | 4 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| DOIs | |
| State | Published - 2004 |
| Event | 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization