Stationary Shapes

Dynamic model and stationary shapes of fluid vesicles

F. Campelo, A. Hernandez-Machado

A phase-field model that takes into account the bending energy of fluid vesicles
is presented. The Canham-Helfrich model is derived in the sharp-interface limit.
A dynamic equation for the phase-field has been solved numerically to find
stationary shapes of vesicles with different topologies and the dynamic
evolution towards them. The results are in agreement with those found by
minimization of the Canham-Helfrich free energy. This fact shows that our
phase-field model could be applied to more complex problems of instabilities.

[Eur. Phys. J. E, 20, 37 (2006)]
 

_________________________________________

SICKLE   CLOSCASPH

_________________________________________

CLIFFORDDISCOCYTE

_________________________________________

PROLATESTOMA

_________________________________________

 PH DIAG

_________________________________________

Shape instabilities in vesicles: a phase-field model

F. Campelo, A. Hernandez-Machado

A phase field model for dealing with shape instabilities in fluid membrane
vesicles is presented. This model takes into account the Canham-Helfrich bending
energy with spontaneous curvature. A dynamic equation for the phase-field is
also derived. With this model it is possible to see the vesicle shape
deformation dynamically, when some external agent instabilizes the membrane, for
instance, inducing an inhomogeneous spontaneous curvature. The numerical scheme
used is detailed and some stationary shapes are shown together with a shape
diagram for vesicles of spherical topology and no spontaneous curvature, in
agreement with known results.

[Eur. Phys. J. Special Topics, 143 (2007)]