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Development of an analytical model for the states of the sandwiched GO–induced pore
This protocol is extracted from research article:
Transport of a graphene nanosheet sandwiched inside cell membranes

Procedure

The detailed deduction can be found in section S2. Briefly, the energy cost of pore formation, ER, is determined from the governing equation$ER=2πγR−Kaπa2AmR2+Kaπ2AmR4$(1)which originates from the balance of energies of both membrane tension and line tension of the pore. Here, R and γ are the radius and the linear tension of the pore, respectively. Am denotes the membrane area. a is the edge length of the GO. By minimizing Eq. 1, a local energy maximum at smaller R and a local energy minimum at larger R can be identified, and the transition point occurs at $Ka0=γAma3272π$. When Ka > Ka0, a straightforward calculation of the minimum leads to the relation between the pore area and Ka$πR2a2=23cos2θ3$(2)where .

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