Title: Coat stiffening explains the consensus pathway of clathrin-mediated endocytosis

Abstract: Clathrin-mediated endocytosis is the main pathway used by eukaryotic cells to take up extracellular material, but the dominant physical mechanisms driving this process are still elusive. Recently several high-resolution imaging techniques have been used on different cell lines to measure the geometrical properties of clathrin-coated pits over their whole lifetime. Here we first show that all datasets follow the same consensus pathway, which is well described by the recently introduced cooperative curvature model, which predicts a flat-to curved transition at finite area, followed by linear growth and subsequent saturation of curvature. We then apply an energetic model for the composite of plasma membrane and clathrin coat to the consensus pathway to show that the dominant mechanism for invagination is coat stiffening, which results from cooperative interactions between the different clathrin molecules and progressively drives the system towards its intrinsic curvature. Our theory predicts that two length scales determine the time course of invagination, namely the patch size at which the flat-to-curved transition occurs and the final pit radius.