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dc.contributor.authorKlika, Václav
dc.contributor.authorBaker, Ruth E.
dc.contributor.authorHeadon, Denis
dc.contributor.authorGaffney, Eamonn A.
dc.date.accessioned2016-02-28T06:32:31Z
dc.date.available2016-02-28T06:32:31Z
dc.date.issued2011-11-10
dc.identifier.citationKlika V, Baker RE, Headon D, Gaffney EA (2011) The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation. Bull Math Biol 74: 935–957. Available: http://dx.doi.org/10.1007/s11538-011-9699-4.
dc.identifier.issn0092-8240
dc.identifier.issn1522-9602
dc.identifier.pmid22072186
dc.identifier.doi10.1007/s11538-011-9699-4
dc.identifier.urihttp://hdl.handle.net/10754/599923
dc.description.abstractUnderstanding the mechanisms governing and regulating self-organisation in the developing embryo is a key challenge that has puzzled and fascinated scientists for decades. Since its conception in 1952 the Turing model has been a paradigm for pattern formation, motivating numerous theoretical and experimental studies, though its verification at the molecular level in biological systems has remained elusive. In this work, we consider the influence of receptor-mediated dynamics within the framework of Turing models, showing how non-diffusing species impact the conditions for the emergence of self-organisation. We illustrate our results within the framework of hair follicle pre-patterning, showing how receptor interaction structures can be constrained by the requirement for patterning, without the need for detailed knowledge of the network dynamics. Finally, in the light of our results, we discuss the ability of such systems to pattern outside the classical limits of the Turing model, and the inherent dangers involved in model reduction. © 2011 Society for Mathematical Biology.
dc.description.sponsorshipThis publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). One of the authors (V.K.) is grateful for the hospitality of the Oxford Centre for Collaborative Applied Mathematics and the Institute for Mathematics and Its Applications during work on this project, as well as for many helpful comments and collaborations from his colleagues.
dc.publisherSpringer Nature
dc.subjectReaction-diffusion
dc.subjectReceptor-mediated patterning
dc.subjectSelf-organisation
dc.subjectTuring models
dc.titleThe Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation
dc.typeArticle
dc.identifier.journalBulletin of Mathematical Biology
dc.contributor.institutionCeske vysoke uceni technicke v Praze, Prague, Czech Republic
dc.contributor.institutionAcademy of Sciences of the Czech Republic, Prague, Czech Republic
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
dc.contributor.institutionUniversity of Edinburgh College of Medicine and Veterinary Medicine, Edinburgh, United Kingdom
kaust.grant.numberKUK-C1-013-04
dc.date.published-online2011-11-10
dc.date.published-print2012-04


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