Luca Dall'Asta — Politecnico di Torino # Molecular sorting in the cell: self-organization and optimality # Cell functionality requires continuous internalization of proteins and other molecular factors that are transported to specialized compartments (endosomes) by means of vesicles. Vesicle transport is characterized by an accurate selection of only the desired molecules into the vesicles and their subsequent transport towards the correct target. We describe the first stage of this process (“molecular sorting”) using a minimal lattice gas model for distillation of a single molecular factor on a lipid membrane. The affinity between similar molecular factors favors the formation of enriched domains that grow over time following classical coarsening laws. Enriched domains are then extracted by means of vesicles. At the steady-state, the efficiency of the sorting process depends on the incoming flux of molecules and on their affinity. An optimal behavior is identified, corresponding to the existence of a unique enriched domain. Preliminary experimental validations of the theoretical (and numerical) results are provided.