336 citations · 1.3k across the 27 of their papers we have counts for
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Challenges in theoretical investigations on configurations of lipid membranes
Z. C. Tu
This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact soluti…
Compatibility between shape equation and boundary conditions of lipid membranes with free edges
Z. C. Tu
Only some special open surfaces satisfying the shape equation of lipid membranes can be compatible with the boundary conditions. As a result of this compatibility, the first integr…
Geometric theory on the elasticity of bio-membranes
Z. C. Tu, Z. C. Ou-Yang
The purpose of this paper is to study the shapes and stabilities of bio-membranes within the framework of exterior differential forms. After a brief review of the current status in…
Lipid membranes with free edges
Z. C. Tu, Z. C. Ou-Yang
Lipid membrane with freely exposed edge is regarded as smooth surface with curved boundary. Exterior differential forms are introduced to describe the surface and the boundary curv…