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Key features of turing systems are determined purely by network topology

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dc.contributor.author Diego, Xavier
dc.contributor.author Marcon, Luciano, 1983-
dc.contributor.author Müller, Patrick
dc.contributor.author Sharpe, James
dc.date.accessioned 2019-12-03T07:57:52Z
dc.date.available 2019-12-03T07:57:52Z
dc.date.issued 2018
dc.identifier.citation Diego X, Marcon L, Müller P, Sharpe J. Key features of turing systems are determined purely by network topology. Phys Rev X. 2018;8(2):021071. DOI: 10.1103/PhysRevX.8.021071
dc.identifier.issn 2160-3308
dc.identifier.uri http://hdl.handle.net/10230/43059
dc.description.abstract Turing’s theory of pattern formation is a universal model for self-organization, applicable to many systems in physics, chemistry, and biology. Essential properties of a Turing system, such as the conditions for the existence of patterns and the mechanisms of pattern selection, are well understood in small networks. However, a general set of rules explaining how network topology determines fundamental system properties and constraints has not been found. Here we provide a first general theory of Turing network topology, which proves why three key features of a Turing system are directly determined by the topology: the type of restrictions that apply to the diffusion rates, the robustness of the system, and the phase relations of the molecular species.
dc.description.sponsorship This research was supported by the ERC advanced grant SIMBIONT (670555) and the Ministerio de Economía y Competitividad (through Centro de Excelencia Severo Ochoa 2013-2017, SEV-2012-0208). X. D. acknowledges support by the ERC-FP7 Grant Swarmorgan (601062). J. S. ackowledges support from ICREA. P. M. and L. M. were supported by ERC Starting Grant QUANTPATTERN (637840).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.ispartof Physical Review X. 2018;8(2):021071
dc.rights © Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.title Key features of turing systems are determined purely by network topology
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevX.8.021071
dc.subject.keyword Biological physics complex systems
dc.subject.keyword Nonlinear dynamics
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/670555
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/601062
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/637840
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.type.version info:eu-repo/semantics/publishedVersion

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