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| It is known that vesicles formed by lipid bilayer membranes, which are
permeable for water and small molecules but impermeable for large
molecules, can be used for transportation of a toxic drug to a target,
where the drug is released through created pores. A lipid membrane can
be considered as a two-dimensional liquid medium surrounded by a
three-dimensional medium of the ambient liquid. The dynamics of a
liquid membrane includes a viscous or viscoelastic two-dimensional
flow inside the membrane and an elastic deformation of the membrane
itself. The pores in membrane show a rather nontrivial dynamics, which
thus far has been studied by means of simplified models. In the present
talk, we describe the dynamics of a pore in a stretched membrane by
means of a self-consistent mathematical modeling. The viscous
dissipation in the membrane and surrounding liquids are accounted for.
The effects of the membrane rheology are considered. The work has been
partially supported by the US-Israel Binational Science
Foundation (grant No. 2008122). |
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