Volume 106, Number 1, April 2014
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||08 April 2014|
Wave instability of intercellular Ca2+ oscillations
1 Department of Physics, University of Stellenbosch - Private Bag X1 Matieland, Stellenbosch 7602, South Africa
2 Department of Physics, Faculty of Science, University of Yaoundé I - P.O. Box 812, Yaoundé, Cameroon
3 Department of Physics, Faculty of Science, University of Maroua - P.O. Box 46, Maroua, Cameroon
Received: 9 December 2013
Accepted: 21 March 2014
Modulational instability is exclusively addressed in a minimal model for calcium oscillations in cells. The cells are considered to be coupled through paracrine signaling. The endoplasmic recticulum and cytosolic equations are reduced to a single differential-difference amplitude equation. The linear stability analysis of a plane wave is performed on the latter and the paracrine coupling parameter is shown to deeply influence the instability features. Our analytical expectations are confirmed by numerical simulations, as instability regions give rise to unstable wave patterns. We also discuss the possibility of perfect intercellular communication via the activation of modulational instability.
PACS: 87.18.Gh – Cell-cell communication; collective behavior of motile cells / 89.75.Kd – Patterns / 05.45.Yv – Solitons
© EPLA, 2014
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