Change search
ReferencesLink to record
Permanent link

Direct link
Robustness of Bistable Switches in Gene Regulatory Networks
KTH, School of Electrical Engineering (EES), Automatic Control.
2007 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Gene expression often reacts to intra- and extra-cellular signals in an ”on-off” switchlike manner. These switches, which display hysteresis, correspond to multiple steady-state solutions of the gene regulatory network and are created through saddle-node bifurcations at which a single real eigenvalue of the local Jacobian crosses the imaginary axis for changes in some system parameter. From control theory, it is well known that such an instability can be induced by a single positive feedback loop, possibly involving only a single gene and its corresponding mRNA. However, experimental results have suggested that bistable switches often involve several interlinked feedback loops. Since such a design is relatively costly, it is reasonable to assume that the excessive loops serve a purpose. A standing hypothesis is that the existence of multiple loops improves both the performance and the robustness of the switches. With performance is here understood the speed of switching, while robustness usually refers to the sensitivity of the switch with respect to noisy signals. The aim of this project is to consider these claims, and in particular the one concerning robustness, from a control theoretic perspective. First, an analysis of some specific biological examples will be performed, considering robustness both with respect to noise and with respect to model (systems) perturbations. In the second part, the aim is to propose a multiple loop design that provides optimal robustness.

Place, publisher, year, edition, pages
2007. , 67 p.
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-106248OAI: diva2:573475
Subject / course
Automatic Control
Educational program
Master of Science in Engineering
Available from: 2012-12-03 Created: 2012-11-30 Last updated: 2012-12-03Bibliographically approved

Open Access in DiVA

fulltext(1191 kB)65 downloads
File information
File name FULLTEXT01.pdfFile size 1191 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
Automatic Control
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 65 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 35 hits
ReferencesLink to record
Permanent link

Direct link