Stochastic modelling of diffusion systems. Video image simulation of tubulin diffusion in cytoplasm: a case study

We present a new mathematical model of diffusive processes in the cytoplasm. In this model, the movement of a molecule A from a region i to a region j of the space is represented as a first order reaction Ai ->k Aj , where the rate constant k depends on the diffusion coefficient. The diffusion coefficients are modeled as functions of the local concentration of the solutes, their intrinsic viscosities, their frictional coefficients and the temperature of the system. To demonstrate the method the simulation results of the diffusion of fluorescein-labeled tubulins in the cytoplasm are reported