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dc.contributor.authorElliot, Charles M.
dc.contributor.authorRanner, Thomas
dc.contributor.authorVenkataraman, Chandrasekhar
dc.date.accessioned2016-11-07T14:30:54Z
dc.date.available2016-11-07T14:30:54Z
dc.date.issued2017-02-08
dc.identifier.citationElliot , C M , Ranner , T & Venkataraman , C 2017 , ' Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics ' , SIAM Journal on Mathematical Analysis , vol. 49 , no. 1 , pp. 360-397 . https://doi.org/10.1137/15M1050811en
dc.identifier.issn0036-1410
dc.identifier.otherPURE: 247458483
dc.identifier.otherPURE UUID: e4b0310f-f06d-4f64-a01b-352ff99eff47
dc.identifier.otherScopus: 85014489411
dc.identifier.otherWOS: 000396681800012
dc.identifier.urihttp://hdl.handle.net/10023/9779
dc.descriptionThis work was started whilst the authors were participants in the Isaac Newton Institute programme: “Free Boundary Problems and Related Topics” and finalised whilst the authors were participants in the Isaac Newton Institute programme: “Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation” supported by EPSRC Grant Number EP/K032208/1. The work of CV received support from the Leverhulme Trust Research Project Grant (RPG-2014-149).en
dc.description.abstractWe consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modeling receptor-ligand dynamics. The model arises as a simplification of a mathematical model for the reaction between cell surface resident receptors and ligands present in the extracellular medium. We prove the existence and uniqueness of solutions. We also consider a number of biologically relevant asymptotic limits of the model. We prove convergence to limiting problems which take the form of free boundary problems posed on the cell surface. We also report on numerical simulations illustrating convergence to one of the limiting problems as well as the spatiotemporal distributions of the receptors and ligands in a realistic geometry.
dc.format.extent38
dc.language.isoeng
dc.relation.ispartofSIAM Journal on Mathematical Analysisen
dc.rights© 2017, Society for Industrial and Applied Mathematics. This work has been 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 epubs.siam.org / https://dx.doi.org/10.1137/15M1050811en
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.subjectT-NDASen
dc.subjectBDCen
dc.subjectR2Cen
dc.subject.lccQAen
dc.subject.lccQH301en
dc.titleCoupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamicsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1137/15M1050811
dc.description.statusPeer revieweden


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