Geodesic
Calcium Waves in Thin Visco-Elastic Cells
K. Piechór1
1 Institute of Fundamental Technological Research Polish Academy of Sciences Pawińskiego 5B 02-106 Warszawa, Poland
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 3, pp. 206-226

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The model we consider treats the cell as a viscoelastic medium filling one of two kinds of thin domains (“shapes” of cells): the thin slab being a caricature of a tissue and the thin circular cylinder mimicking a long cell. This enables us to simplify the system of mechano-chemical equations. We construct abundant classes of explicit, but approximate, formulae for heteroclinic solutions to these equations.
DOI : 10.1051/mmnp/20138313

K. Piechór 1

1 Institute of Fundamental Technological Research Polish Academy of Sciences Pawińskiego 5B 02-106 Warszawa, Poland 
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K. Piechór. Calcium Waves in Thin Visco-Elastic Cells. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 3, pp. 206-226. doi: 10.1051/mmnp/20138313

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