Abstract
A very recent observation on the membrane-mediated attraction and ordered aggregation of colloidal particles bound to giant phospholipid vesicles (I. Koltover, J. O. Rädler and C. R. Safinya, Phys. Rev. Lett.82, 1991 (1999)) is investigated theoretically within the framework of Helfrich curvature elasticity theory of lipid bilayer fluid membrane. Since the concave or waist regions of the vesicle possess the highest local bending energy density, the aggregation of colloidal beads on these places can reduce the elastic energy in maximum. Our calculation shows that a bead in the concave region lowers its energy by ~20 k B T. For an axisymmetrical dumbbell vesicle, the local curvature energy density along the waist is of equal maximum, thus, the beads can be distributed freely with varying separation distance.
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