SLIDE 27 Theoretical analysis of the rate constant of the leakage in the initial stage
)) ( ) ( ( )) ( ) ( (
in
in
t C t C h D t C t C P J − − = − − =
where ) exp( ) (
p leak leak n in in p in
hV DS k t k C t C C S h D dt dC V
i
= − = ∴ − =
39 ± 2 26 ± 2 16 ± 3 8.8×10−11
AF-SBTI
44 ± 4 20 ± 1 N.D. 6.2×10−11
FITC-BSA
38 ± 2 24 ± 2 N.D. 4.9×10−11
TRD-40k
40 ± 3 25 ± 1 20 ± 1 9.1×10−11
TRD-10k
46 ± 2 26 ± 1 18 ± 1 1.7×10−10
TRD-3k
15 μM magainin-2 7 μM magainin-2 4 μM magainin-2
D
(m2s-1)
Fluorescent probes
We assume that only one large pore is formed in the initial stage of the leakage (i.e., np = 1).
We can estimate the radius of the large pore in the initial stage, rlp (nm).
For GUVs whose radius was 5 ± 1 μm. P: permeability coefficient of the substance in membrane D: diffusion coefficient of fluorescent probes h: the length of the pore ( h = 3.5 nm) Sp : the effective cross-sectional area of a pore V : the volume of each GUV Cin(t) : concentration of the substance inside of a GUV
in press, 2010