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Controllability analysis of networks
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.ORCID iD: 0000-0003-0528-9782
2007 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 75, no 056110Article in journal (Refereed) Published
Abstract [en]

The concept of controllability of linear systems from control theory is applied to networks inspired by biology. A node is in this context controllable if an external signal can be applied which can adjust the level (e.g., protein concentration) of the node in a finite time to an arbitrary value, regardless of the levels of the other nodes. The property of being downstream of the node to which the input is applied turns out to be a necessary but not a sufficient condition for being controllable. An interpretation of the controllability matrix, when applied to networks, is also given. Finally, two case studies are provided in order to better explain the concepts, as well as some results for a gene regulatory network of fission yeast. 

Place, publisher, year, edition, pages
2007. Vol. 75, no 056110
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-38214DOI: 10.1103/PhysRevE.75.056110Local ID: 42785OAI: oai:DiVA.org:liu-38214DiVA: diva2:259063
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Lombardi, AnnaHörnquist, Michael

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The Institute of TechnologyDepartment of Science and Technology
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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Engineering and Technology

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