Stochastic multiscale modelling of ion transport across membranes

In this talk we present some recent advances for the ion transport modeling across membranes in relation with the recent work (D. Morale, M. Zanella, V. Capasso, and W. Jaeger, 2015). On one hand we propose a fully stochastic and discrete model describing the main characteristics of a multiple channel system, whereas the movement of the ions is coupled, as usual, with a continuous Poisson equation for the electric field. Influence of exclusion forces has been taken into account. The specific features of both cases of micro and nano channels are considered with particular attention to the latter case considering a discrete and stochastic model for ion movement inside the channels.

contact: riccardo.sacco@polimi.it