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arXiv · 1508.05226

Localized modulated wave solutions in diffusive glucose-insulin systems

Alain Mvogo·Antoine Tambue·Germain Hubert Ben-Bolie·Timoleon Crepin Kofane
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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.

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Alain Mvogo, Antoine Tambue, Germain Hubert Ben-Bolie, Timoleon Crepin Kofane. 2016-04-28. Localized modulated wave solutions in diffusive glucose-insulin systems. https://doi.org/10.1016/j.physleta.2016.04.039

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