Berlin 2015 – scientific programme
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BP: Fachverband Biologische Physik
BP 24: Posters: Membranes and vesicles
BP 24.16: Poster
Tuesday, March 17, 2015, 14:00–16:00, Poster A
Numerical simulation of endocytosis - Continuum models of membranes with curvature-inducing molecules — •Sebastian Aland1, John Lowengrub2, and Jun Allard2 — 1Institut für wissenschaftliches Rechnen, TU Dresden, Germany — 2Department of mathematics, University of California Irvine, USA
We present new diffuse interface models for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility condition by using a local Lagrange multiplier harmonically extended off the interface. To make the method even more robust, we develop a local relaxation scheme that dynamically corrects local stretching/compression errors, thereby preventing their accumulation. We present numerical results that confirm the effectiveness of the proposed models in a test case scenario of vesicles in shear flow. Finally we apply the model to a problem of clathrin-mediated endocytosis. Clathrin proteins attach to the membrane and alter locally its bending stiffness and spontaneous curvature. This process can lead to budding and pinch-off of small vesicles. First numerical simulation results will be shown.