Communications in Mathematical Sciences
Volume 10 (2012)
A dynamic model of open vesicles in fluids
Pages: 1273 – 1285
A hydrodynamic model of open vesicles in solution is presented to study the enlarge- ment and shrinkage of a pore in a biological lipid membrane. The vesicle is modeled by diffusive interfaces. Transport equations permitting consistent treatment of the pore and pore rim are intro- duced. Dynamic simulations implemented by the finite difference method show the evolution of a pore in stretched vesicles. Simulation results include direct visualization of the membrane shape, water motion, and dissipation of energy. Comparison is made with data obtained from microscopy experiments.
phase field, diffusive interface, biological membranes, pore dynamics, finite differ- ence methods
2010 Mathematics Subject Classification
74F10, 74K15, 92C05