The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation

Handle URI:
http://hdl.handle.net/10754/599923
Title:
The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation
Authors:
Klika, Václav; Baker, Ruth E.; Headon, Denis; Gaffney, Eamonn A.
Abstract:
Understanding 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.
Citation:
Klika 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.
Publisher:
Springer Nature
Journal:
Bulletin of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
10-Nov-2011
DOI:
10.1007/s11538-011-9699-4
PubMed ID:
22072186
Type:
Article
ISSN:
0092-8240; 1522-9602
Sponsors:
This 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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKlika, Václaven
dc.contributor.authorBaker, Ruth E.en
dc.contributor.authorHeadon, Denisen
dc.contributor.authorGaffney, Eamonn A.en
dc.date.accessioned2016-02-28T06:32:31Zen
dc.date.available2016-02-28T06:32:31Zen
dc.date.issued2011-11-10en
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.en
dc.identifier.issn0092-8240en
dc.identifier.issn1522-9602en
dc.identifier.pmid22072186en
dc.identifier.doi10.1007/s11538-011-9699-4en
dc.identifier.urihttp://hdl.handle.net/10754/599923en
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.en
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.en
dc.publisherSpringer Natureen
dc.subjectReaction-diffusionen
dc.subjectReceptor-mediated patterningen
dc.subjectSelf-organisationen
dc.subjectTuring modelsen
dc.titleThe Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisationen
dc.typeArticleen
dc.identifier.journalBulletin of Mathematical Biologyen
dc.contributor.institutionCeske vysoke uceni technicke v Praze, Prague, Czech Republicen
dc.contributor.institutionAcademy of Sciences of the Czech Republic, Prague, Czech Republicen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Edinburgh College of Medicine and Veterinary Medicine, Edinburgh, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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