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Published online by Cambridge University Press: 12 June 2013
The model we consider treats the cell as a viscoelastic medium filling one of two kindsof thin domains (“shapes” of cells): the thin slab being a caricature of a tissue and thethin circular cylinder mimicking a long cell. This enables us to simplify the system ofmechano-chemical equations. We construct abundant classes of explicit, but approximate,formulae for heteroclinic solutions to these equations.