Coupled composition-deformation phase-field method for multicomponent lipid membranes

Chloe M. Funkhouser, Francisco Solis, K. Thornton

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We present a method for modeling phase transitions and morphological evolution of binary lipid membranes with approximately planar geometries. The local composition and the shape of the membrane are coupled through composition-dependent spontaneous curvature in a Helfrich free energy. The evolution of the composition field is described by a Cahn-Hilliard-type equation, while shape changes are described by relaxation dynamics. Our method explicitly treats the full nonlinear form of the geometrical scalars, tensors, and differential operators associated with the curved shape of the membrane. The model is applied to examine morphological evolution and stability of lipid membranes initialized in a variety of compositional and geometric configurations. Specifically, we investigate the dynamics of systems which have a lamellar structure as their lowest energy state. We find that evolution is very sensitive to initial conditions; only membranes with sufficiently large lamellar-type compositional perturbations or ripple-type shape perturbations in their initial configuration can deterministically evolve into a lamellar equilibrium morphology. We also observe that rigid topographical surface patterns have a strong effect on the phase separation and compositional evolution in these systems.

Original languageEnglish (US)
Article number011912
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume76
Issue number1
DOIs
StatePublished - Jul 17 2007

Fingerprint

Phase Field
Lipids
lipids
Membrane
membranes
Perturbation
operators
perturbation
Cahn-Hilliard
Configuration
differential operators
Ripple
Phase Separation
configurations
ripples
Differential operator
Free Energy
Lowest
Initial conditions
Phase Transition

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Coupled composition-deformation phase-field method for multicomponent lipid membranes. / Funkhouser, Chloe M.; Solis, Francisco; Thornton, K.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 76, No. 1, 011912, 17.07.2007.

Research output: Contribution to journalArticle

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