Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | 2009 European Control Conference, ECC 2009 |
| Herausgeber (Verlag) | Institute of Electrical and Electronics Engineers Inc. |
| Seiten | 2146-2151 |
| Seitenumfang | 6 |
| ISBN (elektronisch) | 9783952417393 |
| Publikationsstatus | Veröffentlicht - 26 März 2014 |
| Extern publiziert | Ja |
| Veranstaltung | 2009 European Control Conference (ECC) - Budapest, Ungarn Dauer: 23 Aug. 2009 → 26 Aug. 2009 |
Publikationsreihe
| Name | 2009 European Control Conference, ECC 2009 |
|---|
Abstract
The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Steuerungs- und Systemtechnik
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2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. S. 2146-2151 7074722 (2009 European Control Conference, ECC 2009).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - The transcritical bifurcation in absolutely stable feedback systems
AU - Muller, Matthias A.
AU - Waldherr, Steffen
AU - Allgower, Frank
N1 - Publisher Copyright: © 2009 EUCA.
PY - 2014/3/26
Y1 - 2014/3/26
N2 - The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
AB - The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems. We apply the results to a simple gene regulation system to compute an activation threshold in the feedback regulation strength.
UR - http://www.scopus.com/inward/record.url?scp=84955207093&partnerID=8YFLogxK
U2 - 10.23919/ecc.2009.7074722
DO - 10.23919/ecc.2009.7074722
M3 - Conference contribution
AN - SCOPUS:84955207093
T3 - 2009 European Control Conference, ECC 2009
SP - 2146
EP - 2151
BT - 2009 European Control Conference, ECC 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2009 European Control Conference (ECC)
Y2 - 23 August 2009 through 26 August 2009
ER -