  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.
