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dc.contributor.authorMacnamara, Cicely K.
dc.contributor.authorChaplain, Mark A. J.
dc.identifier.citationMacnamara , C K & Chaplain , M A J 2017 , ' Spatio-temporal models of synthetic genetic oscillators ' , Mathematical Biosciences and Engineering , vol. 14 , no. 1 , pp. 249-262 .
dc.identifier.otherPURE: 242017463
dc.identifier.otherPURE UUID: 05fe7dc2-ecf5-410a-84d5-4baf2de2ae1e
dc.identifier.otherScopus: 85002776531
dc.identifier.otherORCID: /0000-0003-4961-6052/work/28355711
dc.identifier.otherORCID: /0000-0001-5727-2160/work/55378861
dc.identifier.otherWOS: 000387005500017
dc.description.abstractSignal transduction pathways play a major role in many important aspects of cellular function e.g. cell division, apoptosis. One important class of signal transduction pathways is gene regulatory networks (GRNs). In many GRNs, proteins bind to gene sites in the nucleus thereby altering the transcription rate. Such proteins are known as transcription factors. If the binding reduces the transcription rate there is a negative feedback leading to oscillatory behaviour in mRNA and protein levels, both spatially (e.g. by observing fluorescently labelled molecules in single cells) and temporally (e.g. by observing protein/mRNA levels over time). Recent computational modelling has demonstrated that spatial movement of the molecules is a vital component of GRNs and may cause the oscillations. These numerical findings have subsequently been proved rigorously i.e. the diffusion coefficient of the protein/mRNA acts as a bifurcation parameter and gives rise to a Hopf bifurcation. In this paper we first present a model of the canonical GRN (the Hes1 protein) and show the effect of varying the spatial location of gene and protein production sites on the oscillations. We then extend the approach to examine spatio-temporal models of synthetic gene regulatory networks e.g. n-gene repressilators and activator-repressor systems.
dc.relation.ispartofMathematical Biosciences and Engineeringen
dc.rightsThis work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectGene regulatory networks (GRN)en
dc.subjectDiffusion-driven oscillationsen
dc.subjectSynthetic gene networksen
dc.subjectPositive-negative feedbacken
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.titleSpatio-temporal models of synthetic genetic oscillatorsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.description.statusPeer revieweden

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