Shapes of pored membranes

Zhenwei Yao, Rastko Sknepnek, Creighton K. Thomas, Monica Olvera De La Cruz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We study the shapes of pored membranes within the framework of the Helfrich theory under the constraints of fixed area and pore size. We show that the mean curvature term leads to a budding-like structure, while the Gaussian curvature term tends to flatten the membrane near the pore; this is corroborated by simulation. We propose a scheme to deduce the ratio of the Gaussian rigidity to the bending rigidity simply by observing the shape of the pored membrane. This ratio is usually difficult to measure experimentally. In addition, we briefly discuss the stability of a pore by relaxing the constraint of a fixed pore size and adding the line tension. Finally, the flattening effect due to the Gaussian curvature as found in studying pored membranes is extended to two-component membranes. We find that sufficiently high contrast between the components' Gaussian rigidities leads to budding which is distinct from that due to the line tension.

Original languageEnglish (US)
Pages (from-to)11613-11619
Number of pages7
JournalSoft Matter
Issue number46
StatePublished - Dec 14 2012

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics


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