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Free energy profile (kBT) for the tensionless membrane. ΔF is relative to a noninteracting membrane-particle system, where zF → ∞. The particle is a G5 dendrimer with radius RF = 2.7 nm and charge density cF = 1.55 nm−3 (all 128 surface amines are protonated). For comparison, we have also plotted the results for a hypothetical G5 dendrimer with cF = 5.00 nm−3. Open symbols correspond to method 1; +and × correspond to method 2 (see text for description).
