Local and global robustness at steady state

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dc.contributor.author Pascual Escudero, Beatriz
dc.contributor.author Feliu, Elisenda
dc.date.accessioned 2022-01-27T12:48:10Z
dc.date.issued 2022-01-15
dc.identifier.bibliographicCitation Pascual‐Escudero, B. & Feliu, E. (2021). Local and global robustness at steady state. Mathematical Methods in the Applied Sciences, 45(1), 359–382.
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/10016/33986
dc.description.abstract We study the robustness of the steady states of a class of systems of autonomous ordinary differential equations (ODEs), having as a central example those arising from (bio)chemical reaction networks. More precisely, we study under what conditions the steady states of the system are contained in a parallel translate of a coordinate hyperplane. To this end, we focus mainly on ODEs consisting of generalized polynomials and make use of algebraic and geometric tools to relate the local and global structure of the set of steady states. Specifically, we consider the local property termed zero sensitivity at a coordinate xi, which means that the tangent space is contained in a hyperplane of the form xi = c, and provide a criterion to identify it. We consider the global property termed absolute concentration robustness (ACR), meaning that all steady states are contained in a hyperplane of the form xi = c. We clarify and formalize the relation between the two approaches. In particular, we show that ACR implies zero sensitivity and identify when the two properties do not agree, via an intermediate property we term local ACR. For families of systems arising from modeling biochemical reaction networks, we obtain the first practical and automated criterion to decide upon (local) ACR.
dc.description.sponsorship BP acknowledges funding from the European Union's Horizon 2020 research and innovation program under the MarieSklodowska-Curie IF Grant agreement 794627. EF has been supported by the Independent Research Fund of Denmarkand by the Novo Nordisk Foundation Grant NNF18OC0052483.
dc.format.extent 24
dc.language.iso eng
dc.publisher Wiley
dc.rights © 2021 John Wiley & Sons, Ltd.
dc.subject.other Absolute concentration robustness
dc.subject.other Polynomial equations
dc.subject.other Reaction networks
dc.subject.other Sensitivity analysis
dc.title Local and global robustness at steady state
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1002/mma.7780
dc.rights.accessRights embargoedAccess
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/794627
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 359
dc.identifier.publicationissue 1
dc.identifier.publicationlastpage 382
dc.identifier.publicationtitle Mathematical Methods in the Applied Sciences
dc.identifier.publicationvolume 45
dc.identifier.uxxi AR/0000029018
carlosiii.embargo.liftdate 2023-01-15
carlosiii.embargo.terms 2023-01-15
dc.contributor.funder European Commission
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