Manipulated deformation of lipid bilayer vesicles in magnetic fields

We have extended the Helfrich’s spontaneous curvature model of the equilibrium vesicle by adding the interaction between magnetic field and the constituent molecules to supply an explaination in principle of the emerging manipulated deformation of a magnetic vesicles such as the reversibly deformation of artificial stomatocyte. The small deformation can be measured by birefringence. Here, we present the derivations of formulas in detailed to reveal the perturbation of deformation ψ under two cases. New features, for example, a ‘phase transition’ of shape will occur with increasing of B from B1∗ to B2∗ for Δχ<0, in which the major axis of ellipse was rotated by 90°, have been revealed. It is worthy for experimenter to demonstrate the ‘phase transition’. The significance of imaginary relation (B1∗<B<B2∗) is also waiting to be uncovered.