FNP number and size dependence. (a) Representative simulation snapshots showing the membrane internalization of a BNP with the help of two FNPs. (b) Time-evolutions of the NP-NP distance and the membrane internalization degree of a BNP. Background colours refer to the three stages. (c) Representative simulation snapshots showing the membrane internalization of a BNP with the help of 21 FNPs. In this case, the membrane size is 70 nm × 70 nm. (d) Correlation between the critical number of FNPs required for the internalization of a BNP and the FNP size. In all cases, εF = 3.5 kJ/mol, εB = 1.5 kJ/mol, ρF = ρB = 1.6 nm−2, DB =8 nm; in (a-c), DF = 6 nm.