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arXiv · 2210.08991

Universality in the dynamics of vesicle translocation through a hole

Bin Zheng·Fangfu Ye·Shigeyuki Komura·Masao Doi
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Abstract

We analyze the translocation process of a spherical vesicle, made of membrane and incompressible fluid, through a hole smaller than the vesicle size, driven by pressure difference $ΔP$. We show that such a vesicle shows certain universal characteristics which is independent of the details of the membrane elasticity; (i) there is a critical pressure $ΔP_{\rm c}$ below which no translocation occurs, (ii) $ΔP_{\rm c}$ decreases to zero as the vesicle radius $R_0$ approaches the hole radius $a$, satisfying the scaling relation $ΔP_{\rm c} \sim (R_0 - a)^{3/2}$, and (iii) the translocation time $τ$ diverges as $ΔP$ decreases to $ΔP_{\rm c}$, satisfying the scaling relation $τ\sim (ΔP -ΔP_{\rm c})^{-1/2}$.

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Bin Zheng, Fangfu Ye, Shigeyuki Komura, Masao Doi. 2022-10-17. Universality in the dynamics of vesicle translocation through a hole. https://doi.org/10.1021/acs.langmuir.2c02835

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