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Interaction sign patterns in biological networks: from qualitative to quantitative criteria
Delft Univ Technol, Netherlands.
Linköpings universitet, Institutionen för systemteknik, Reglerteknik. Linköpings universitet, Tekniska fakulteten.ORCID-id: 0000-0003-4142-6502
2017 (engelsk)Inngår i: 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), IEEE , 2017Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

In stable biological and ecological networks, the steady-state influence matrix gathers the signs of steady-state responses to step-like perturbations affecting the variables. Such signs are difficult to predict a priori, because they result from a combination of direct effects (deducible from the Jacobian of the network dynamics) and indirect effects. For stable monotone or cooperative networks, the sign pattern of the influence matrix can be qualitatively determined based exclusively on the sign pattern of the system Jacobian. For other classes of networks, we show that a semi-qualitative approach yields sufficient conditions for Jacobians with a given sign pattern to admit a fully positive influence matrix, and we also provide quantitative conditions for Jacobians that are translated eventually nonnegative matrices. We present a computational test to check whether the influence matrix has a constant sign pattern in spite of parameter variations, and we apply this algorithm to quasi-Metzler Jacobian matrices, to assess whether positivity of the influence matrix is preserved in spite of deviations from cooperativity. When the influence matrix is fully positive, we give a simple vertex algorithm to test robust stability. The devised criteria are applied to analyse the steady-state behaviour of ecological and biomolecular networks.

sted, utgiver, år, opplag, sider
IEEE , 2017.
Serie
IEEE Conference on Decision and Control, ISSN 0743-1546
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-145488DOI: 10.1109/CDC.2017.8264451ISI: 000424696905022ISBN: 978-1-5090-2873-3 (tryckt)OAI: oai:DiVA.org:liu-145488DiVA, id: diva2:1187187
Konferanse
IEEE 56th Annual Conference on Decision and Control (CDC)
Merknad

Funding Agencies|Swedish Research Council through the LCCC Linnaeus Center; eLLIIT Excellence Center at Lund University; Swedish Research Council [2015-04390]

Tilgjengelig fra: 2018-03-02 Laget: 2018-03-02 Sist oppdatert: 2018-03-02

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