Electromechanical and curvature-driven molecular flows for lipid membranes
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Lipid membranes play a crucial role in sustaining life, appearing ubiquitously in biology. Gaining a quantitative understanding of the flows of lipid membranes is critical to understanding how living systems operate. Additionally, the mechanical properties of lipid membranes make them ideal material for nanotechnology, further motivating a need for accurate computational models. This thesis is organized in three projects that model important features of lipid membranes. First, we define the mechanical energy of vesicle lipid membranes and propose a fast numerical algorithm for minimizing ...