Manipulated deformation of lipid bilayer vesicles in magnetic fields

ABSTRACT

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 $\psi$ under two cases. New features, for example, a ‘phase transition’ of shape will occur with increasing of $B$ from $B_1^{\ast }$ to $B_2^{\ast }$ for $\mathrm{\Delta }\chi <0$, 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 ($B_1^{\ast }<B<B_2^{\ast }$) is also waiting to be uncovered.

GRAPHICAL ABSTRACT

KEYWORDS:

• Spontaneous curvature model
• deformation of vesicle
• magnetic interaction
• variation
• stomatocyte
• birefringence

Disclosure statement

No potential conflict of interest was reported by the authors.

Supplemental material

Supplemental data for this article can be accessed online at https://doi.org/10.1080/02678292.2022.2154866

Additional information

Funding

The authors thank the financial support by Key Research Program of Frontier Sciences of CAS [Grant No. QYZDY-SSW-SYS008], the National Natural Science Foundation of China [No. 22193032], the Research Fund of Wenzhou Institute of UCAS [Nos. WIUCASQD2020009, WIUCASK20002 and WIUCASICTP2022] and the Research Fund of Oujiang Lab [OJQDJQ2022001].