The effect of membrane-regulated actin polymerization on a two-phase flow model for cell motility

L. S. Kimpton, J. P. Whiteley, S. L. Waters, J. M. Oliver

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Abstract

Two-phase flow models have been widely used to model cell motility and we have previously demonstrated that even the simplest, stripped-down, 1D model displays many observed features of cell motility [Kimpton, L.S., Whiteley, J.P., Waters, S.L., King, J.R. & Oliver, J.M. (2013) Multiple travelling-wave solutions in a minimal model for cell motility. Math. Med. Biol. 30, 241 - 272]. In this paper, we address a limitation of the previous model.We show that the two-phase flow framework can exhibit travelling-wave solutions with biologically plausible actin network profiles in two simple models that enforce polymerization or depolymerization of the actin network at the ends of the travelling, 1D strip of cytoplasm. © 2014 The authors 2014. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Original languageEnglish (US)
Pages (from-to)603-635
Number of pages33
JournalIMA Journal of Applied Mathematics
Volume79
Issue number4
DOIs
StatePublished - Jul 23 2014
Externally publishedYes

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