Multiple travelling-wave solutions in a minimal model for cell motility

Handle URI:
http://hdl.handle.net/10754/598912
Title:
Multiple travelling-wave solutions in a minimal model for cell motility
Authors:
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; King, J. R.; Oliver, J. M.
Abstract:
Two-phase flow models have been used previously to model cell motility. In order to reduce the complexity inherent with describing the many physical processes, we formulate a minimal model. Here we demonstrate that even the simplest 1D, two-phase, poroviscous, reactive flow model displays various types of behaviour relevant to cell crawling. We present stability analyses that show that an asymmetric perturbation is required to cause a spatially uniform, stationary strip of cytoplasm to move, which is relevant to cell polarization. Our numerical simulations identify qualitatively distinct families of travellingwave solutions that coexist at certain parameter values. Within each family, the crawling speed of the strip has a bell-shaped dependence on the adhesion strength. The model captures the experimentally observed behaviour that cells crawl quickest at intermediate adhesion strengths, when the substrate is neither too sticky nor too slippy. © The Author 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Citation:
Kimpton LS, Whiteley JP, Waters SL, King JR, Oliver JM (2012) Multiple travelling-wave solutions in a minimal model for cell motility. Mathematical Medicine and Biology 30: 241–272. Available: http://dx.doi.org/10.1093/imammb/dqs023.
Publisher:
Oxford University Press (OUP)
Journal:
Mathematical Medicine and Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
11-Jul-2012
DOI:
10.1093/imammb/dqs023
PubMed ID:
22789545
Type:
Article
ISSN:
1477-8599; 1477-8602
Sponsors:
This research was supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). S.L.W. is grateful for funding from the EPSRC in the form of an Advanced Research Fellowship and J.R.K. for that of the Wolfson Foundation and Royal Society.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKimpton, L. S.en
dc.contributor.authorWhiteley, J. P.en
dc.contributor.authorWaters, S. L.en
dc.contributor.authorKing, J. R.en
dc.contributor.authorOliver, J. M.en
dc.date.accessioned2016-02-25T13:43:35Zen
dc.date.available2016-02-25T13:43:35Zen
dc.date.issued2012-07-11en
dc.identifier.citationKimpton LS, Whiteley JP, Waters SL, King JR, Oliver JM (2012) Multiple travelling-wave solutions in a minimal model for cell motility. Mathematical Medicine and Biology 30: 241–272. Available: http://dx.doi.org/10.1093/imammb/dqs023.en
dc.identifier.issn1477-8599en
dc.identifier.issn1477-8602en
dc.identifier.pmid22789545en
dc.identifier.doi10.1093/imammb/dqs023en
dc.identifier.urihttp://hdl.handle.net/10754/598912en
dc.description.abstractTwo-phase flow models have been used previously to model cell motility. In order to reduce the complexity inherent with describing the many physical processes, we formulate a minimal model. Here we demonstrate that even the simplest 1D, two-phase, poroviscous, reactive flow model displays various types of behaviour relevant to cell crawling. We present stability analyses that show that an asymmetric perturbation is required to cause a spatially uniform, stationary strip of cytoplasm to move, which is relevant to cell polarization. Our numerical simulations identify qualitatively distinct families of travellingwave solutions that coexist at certain parameter values. Within each family, the crawling speed of the strip has a bell-shaped dependence on the adhesion strength. The model captures the experimentally observed behaviour that cells crawl quickest at intermediate adhesion strengths, when the substrate is neither too sticky nor too slippy. © The Author 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.en
dc.description.sponsorshipThis research was supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). S.L.W. is grateful for funding from the EPSRC in the form of an Advanced Research Fellowship and J.R.K. for that of the Wolfson Foundation and Royal Society.en
dc.publisherOxford University Press (OUP)en
dc.subjectCell adhesionen
dc.subjectCell crawlingen
dc.subjectPoroviscousen
dc.subjectReactiveen
dc.subjectTwo-phaseen
dc.titleMultiple travelling-wave solutions in a minimal model for cell motilityen
dc.typeArticleen
dc.identifier.journalMathematical Medicine and Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Nottingham, Nottingham, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

Related articles on PubMed

All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.