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Sakuma and Imai [Phys. Rev. Lett. 107, 198101 (2011)] established atemperature-controlled cyclic process for a model system of self-reproducingvesicles without feeding. The vesicle generates a smaller inclusion vesiclecalled "daughter vesicle" inside the original vesicle (we call this "mothervesicle") and then the daughter vesicle is expelled through a small pore on themother vesicle. This self-reproducing process is called birthing. In thepresent study we present theoretical model on the birthing process of a single,rigid daughter vesicle through a pore. By using a simple geometric picture, wederive the free energy constituting the material properties of the bending,stretching and line tension moduli of the mother vesicle, as a function of thedistance between the centers of the daughter and mother vesicles, and the sizeof the daughter vesicle. We see clearly the disappearance of the energy barrierby selecting appropriate moduli. The dynamics of the system is studied byemploying the Onsager principle. The results indicate that translocation timedecreases as the friction parameter decreases, or the initial size of thedaughter vesicle decreases.

Birthing of a daughter vesicle in a model system for self-reproduction vesicles