ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2014
Pattern formation by phase-field relaxation of bending energy with fixed surface area and volume.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Modeling Membrane Curvature Generation due to Membrane⁻Protein Interactions.Biomolecules · 2018Review
- A self-consistent phase-field approach to implicit solvation of charged molecules with Poisson-Boltzmann electrostatics.The Journal of chemical physics · 2015Article
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Authors and funding
3 authors.
Funding
Abstract
We explore a wide variety of patterns of closed surfaces that minimize the elastic bending energy with fixed surface area and volume. To avoid complicated discretization and numerical instabilities for sharp surfaces, we reformulate the underlying constrained minimization problem by constructing phase-field functionals of bending energy with penalty terms for the constraints and develop stable numerical methods to relax these functionals. We report our extensive computational results with different initial surfaces. These results are discussed in terms of the reduced volume and are compared with the known results obtained using the sharp-interface approach. Finally, we discuss the implications of our numerical findings.
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