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Dynamics of Biomembranes: Effect of the Bulk Fluid
biomembrane vesicle red blood cell helfrich
2015/12/11
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane.
The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as ...
We consider geometric biomembranes governed by an L
2
-gradient flow for bending energy subject to area and volume constraints (Helfrich model). We give
a concise derivation of a novel vector...
General mathematical frame for open or closed biomembranes: Stability theory based on differential operators
biomembranes stability theory stably permissible condition
2010/9/15
Based on a few differential operators and their integral theorems on curved surfaces, the second variations of the general potential functional and various geometric quantities defined on biomembranes...