dc.contributor.author
Vassena, Nicola
dc.date.accessioned
2021-04-16T10:53:40Z
dc.date.available
2021-04-16T10:53:40Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/30393
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-30134
dc.description.abstract
Equilibrium bifurcations arise from sign changes of Jacobian determinants, as parameters are varied. Therefore we address the Jacobian determinant for metabolic networks with general reaction kinetics. Our approach is based on the concept of Child Selections: each (mother) metabolite is mapped, injectively, to one of those (child) reactions that it drives as an input. Our analysis distinguishes reaction network Jacobians with constant sign from the bifurcation case, where that sign depends on specific reaction rates. In particular, we distinguish "good" Child Selections, which do not affect the sign, from more interesting and mischievous "bad" children, which gang up towards sign changes, instability, and bifurcation.
en
dc.format.extent
24 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
metabolic networks
en
dc.subject
structural analysis
en
dc.subject
Jacobian determinant
en
dc.subject
multistationarity
en
dc.subject
stability change
en
dc.subject
saddle-node bifurcation
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Good and bad children in metabolic networks
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.3934/mbe.2020388
dcterms.bibliographicCitation.journaltitle
Mathematical Biosciences and Engineering
dcterms.bibliographicCitation.number
6
dcterms.bibliographicCitation.pagestart
7621
dcterms.bibliographicCitation.pageend
7644
dcterms.bibliographicCitation.volume
17
dcterms.bibliographicCitation.url
https://doi.org/10.3934/mbe.2020388
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
refubium.resourceType.provider
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