Handle URI:
http://hdl.handle.net/10754/599034
Title:
On a poroviscoelastic model for cell crawling
Authors:
Kimpton, L. S.; Whiteley, J. P.; Waters, S. L.; Oliver, J. M.
Abstract:
In this paper a minimal, one-dimensional, two-phase, viscoelastic, reactive, flow model for a crawling cell is presented. Two-phase models are used with a variety of constitutive assumptions in the literature to model cell motility. We use an upper-convected Maxwell model and demonstrate that even the simplest of two-phase, viscoelastic models displays features relevant to cell motility. We also show care must be exercised in choosing parameters for such models as a poor choice can lead to an ill-posed problem. A stability analysis reveals that the initially stationary, spatially uniform strip of cytoplasm starts to crawl in response to a perturbation which breaks the symmetry of the network volume fraction or network stress. We also demonstrate numerically that there is a steady travelling-wave solution in which the crawling velocity has a bell-shaped dependence on adhesion strength, in agreement with biological observation.
Citation:
Kimpton LS, Whiteley JP, Waters SL, Oliver JM (2014) On a poroviscoelastic model for cell crawling. Journal of Mathematical Biology 70: 133–171. Available: http://dx.doi.org/10.1007/s00285-014-0755-1.
Publisher:
Springer Nature
Journal:
Journal of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
8-Feb-2014
DOI:
10.1007/s00285-014-0755-1
PubMed ID:
24509816
Type:
Article
ISSN:
0303-6812; 1432-1416
Sponsors:
This publication is based on work supported 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.
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.authorOliver, J. M.en
dc.date.accessioned2016-02-25T13:51:36Zen
dc.date.available2016-02-25T13:51:36Zen
dc.date.issued2014-02-08en
dc.identifier.citationKimpton LS, Whiteley JP, Waters SL, Oliver JM (2014) On a poroviscoelastic model for cell crawling. Journal of Mathematical Biology 70: 133–171. Available: http://dx.doi.org/10.1007/s00285-014-0755-1.en
dc.identifier.issn0303-6812en
dc.identifier.issn1432-1416en
dc.identifier.pmid24509816en
dc.identifier.doi10.1007/s00285-014-0755-1en
dc.identifier.urihttp://hdl.handle.net/10754/599034en
dc.description.abstractIn this paper a minimal, one-dimensional, two-phase, viscoelastic, reactive, flow model for a crawling cell is presented. Two-phase models are used with a variety of constitutive assumptions in the literature to model cell motility. We use an upper-convected Maxwell model and demonstrate that even the simplest of two-phase, viscoelastic models displays features relevant to cell motility. We also show care must be exercised in choosing parameters for such models as a poor choice can lead to an ill-posed problem. A stability analysis reveals that the initially stationary, spatially uniform strip of cytoplasm starts to crawl in response to a perturbation which breaks the symmetry of the network volume fraction or network stress. We also demonstrate numerically that there is a steady travelling-wave solution in which the crawling velocity has a bell-shaped dependence on adhesion strength, in agreement with biological observation.en
dc.description.sponsorshipThis publication is based on work supported 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.en
dc.publisherSpringer Natureen
dc.titleOn a poroviscoelastic model for cell crawlingen
dc.typeArticleen
dc.identifier.journalJournal of Mathematical Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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