Localized modulated wave solutions in diffusive glucose-insulin systems
Tissues and Organs
2016-05-02 v5 Biological Physics
Abstract
We investigate intercellular insulin dynamics in an array of diffusively coupled pancreatic islet \b{eta}-cells. The cells are connected via gap junction coupling, where nearest neighbor interactions are included. Through the multiple scale expansion in the semi-discrete approximation, we show that the insulin dynamics can be governed by the complex Ginzburg-Landau equation. The localized solutions of this equation are reported. The results suggest from the biophysical point of view that the insulin propagates in pancreatic islet \b{eta}-cells using both temporal and spatial dimensions in the form of localized modulated waves.
Cite
@article{arxiv.1508.05226,
title = {Localized modulated wave solutions in diffusive glucose-insulin systems},
author = {Alain Mvogo and Antoine Tambue and Germain Hubert Ben-Bolie and Timoleon Crepin Kofane},
journal= {arXiv preprint arXiv:1508.05226},
year = {2016}
}