The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution

• Author(s) / Creator(s)

  • Zeidi, Mahdi
  • Kim, Chun Il

• We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are taken from the existing non-linear model but reformulated and adopted to the present framework. We obtain a complete analytical expression illustrating the deformations of lipid membrane subjected to the influences of intra-membrane viscosity. The result predicts wrinkle phenomena in the event of membrane-substrate interactions. Finally, we mention that the obtained solutions reduce to those from the classical shape equation when the viscosity effects are removed.

• Date created

  2018-12-15

• Subjects / Keywords

  • Lipid Membranes

• Type of Item

  Article (Published)

• DOI

  https://doi.org/10.7939/R3JH3DJ1R

• License

  Attribution-NonCommercial-NoDerivatives 4.0 International