Dynamics of the lipid-bilayer membrane taking a vesicle shape

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24 Citations (Scopus)


The lipid-bilayer membrane is treated as a two-dimensional viscous fluid with a restoring force against bending. We present a general theory of the dynamics of such a fluid, and as an application we calculate the damping coefficient of slow overdamped motion of the membrane which takes a spherical-vesicle shape in equilibrium. Discussions of the in-plane compression modulus and the membrane continuity in some recent theories are inappropriate for the lipid-bilayer membrane. We also find that membrane viscosity μ is important as compared to viscosities, μ̄ and μ ̧, of the inner fluid and the outer fluid unless μ is much smaller than Fr and μ ̧r0 (r0 being the vesicle radius).

Original languageEnglish
Pages (from-to)214-242
Number of pages29
JournalPhysica A: Statistical Mechanics and its Applications
Issue number2
Publication statusPublished - 1994 Feb 15
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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