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calcium waves

Mathematical Modelling of Natural Phenomena (1)

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Calcium Waves in Thin Visco-Elastic Cells
K. Piechór
Journal:

Mathematical Modelling of Natural Phenomena / Volume 8 / Issue 3 / 2013

Published online by Cambridge University Press:

12 June 2013, pp. 206-226

Print publication:

2013
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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.