Modelling the effect of caveolae on G-protein activation.

In this paper, we study the effects on G-protein activation of a non-uniform distribution of signalling components. The spatial heterogeneity is attributed to caveolae, a specific membrane microdomain which has been observed to redistribute and concentrate signalling molecules. Diffusive coagulation-fragmentation equations are used to describe the aggregation of caveolin homo-oligomers and the subsequent formation of caveolae. A system of reaction-diffusion equation is thus formulated and, in order to describe the restrictions imposed by caveolae on the movement of receptors and G-protein, a segregation coefficient is introduced which serves to regulate the preference of the species to segregate according to the concentration of caveolae. The results demonstrate that the heterogeneous distribution of the signalling components and the efficiency of G-protein activation can vary significantly, depending on the concentration of caveolae.