Long-range intercellular Ca2+ wave patterns

C. B. Tabi, I. Maïna, A. Mohamadou, H. P.F. Ekobena, T. C. Kofané

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Modulational instability is utilized to investigate intercellular Ca2+ wave propagation in an array of diffusively coupled cells. Cells are supposed to be connected via paracrine signaling, where long-range effects, due to the presence of extracellular messengers, are included. The multiple-scale expansion is used to show that the whole dynamics of Ca2+ waves, from the endoplasmic reticulum to the cytosol, can be reduced to a single differential-difference nonlinear equation whose solutions are assumed to be plane waves. Their linear stability analysis is studied, with emphasis on the impact of long-range coupling, via the range parameter s. It is shown that s, as well as the number of interacting cells, importantly modifies the features of modulational instability, as small values of s imply a strong coupling, and increasing its value rather reduces the problem to a first-neighbor one. Our theoretical findings are numerically tested, as the generic equations are fully integrated, leading to the emergence of nonlinear patterns of Ca2+ waves. Strong long-range coupling is pictured by extended trains of breather-like structures whose frequency decreases with increasing s. We also show numerically that the number of interacting cells plays on the spatiooral formation of Ca2+ patterns, whilst the quasi-perfect intercellular communication depends on the paracrine coupling parameter.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalPhysica A: Statistical Mechanics and its Applications
Volume435
DOIs
Publication statusPublished - Oct 1 2015

Fingerprint

Modulational Instability
Cell
cells
Range of data
endoplasmic reticulum
Endoplasmic Reticulum
Breathers
Differential-difference Equations
Multiple Scales
Linear Stability Analysis
Strong Coupling
Plane Wave
Wave Propagation
nonlinear equations
wave propagation
plane waves
communication
Imply
Decrease
expansion

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Tabi, C. B. ; Maïna, I. ; Mohamadou, A. ; Ekobena, H. P.F. ; Kofané, T. C. / Long-range intercellular Ca2+ wave patterns. In: Physica A: Statistical Mechanics and its Applications. 2015 ; Vol. 435. pp. 1-14.
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Long-range intercellular Ca2+ wave patterns. / Tabi, C. B.; Maïna, I.; Mohamadou, A.; Ekobena, H. P.F.; Kofané, T. C.

In: Physica A: Statistical Mechanics and its Applications, Vol. 435, 01.10.2015, p. 1-14.

Research output: Contribution to journalArticle

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AU - Kofané, T. C.

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