Bending energy of a vesicle to which a small spherical particle adhere: An analytical study
Cao Si-Qina) , Wei Guang-Honga) 
, Chen Jeff Z. Y.‡b)
, Chen Jeff Z. Y.‡ 
Bending energy of a vesicle to which a small spherical particle adhere: An analytical study |
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Cao Si-Qin
, Chen Jeff Z. Y.‡ |
| Comparison between the numerical results (symbols) and the theoretical prediction (lines) of the bending energy change for the unattached membrane portion, , as a function of the reduced wrapping area, . Two example vesicles are considered: v = 0.6 (filled symbols) and v = 0.95 (open symbols). The numerical results were obtained by solving the shape equation exactly;[ 17 ] the theoretical prediction, equation ( 19 ), is made by an expansion on the small particle radius. Triangles, squares, and circles correspond to vesicle to particle dimension ratio, y = 21.5, 36.8, and 46.4, respectively. The dotted horizontal lines represent a typical thermal energy of order k B T , whereas the bending modulus κ b is taken here to be ≈ 10 k B T (the value of POPC reported in Ref. [ 40 ]); for different y the same color is used here. |
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