| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 3, 2013
Front Propagation
|
|
|---|---|---|
| Page(s) | 206 - 226 | |
| DOI | https://doi.org/10.1051/mmnp/20138313 | |
| Published online | 12 June 2013 | |
Calcium Waves in Thin Visco-Elastic Cells
Institute of Fundamental Technological Research
Polish Academy of Sciences Pawińskiego 5B 02-106
Warszawa,
Poland
⋆ Corresponding author. E-mail: kpiechor@ippt.gov.pl
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.
Mathematics Subject Classification: 35K57 / 92C05
Key words: calcium waves / mechano-chemical coupling / thin domains
© EDP Sciences, 2013
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