Math. Model. Nat. Phenom.
Volume 8, Number 3, 2013Front Propagation
|Page(s)||206 - 226|
|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
⋆ Corresponding author. E-mail: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.