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Mesoscopic models of lipid bilayers and bilayers with embedded ...

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106 <strong>Mesoscopic</strong> model for <strong>lipid</strong> <strong>bilayers</strong> <strong>with</strong> <strong>embedded</strong> proteins<br />

d L (r) [Å]<br />

45.0<br />

35.0<br />

25.0<br />

15.0<br />

0.0 20.0 40.0 60.0 80.0<br />

(a) NP=4<br />

d L (r) [Å]<br />

r [Å]<br />

45.0<br />

35.0<br />

25.0<br />

∆d=−10<br />

∆d=−6<br />

∆d=−1<br />

∆d= 8<br />

∆d=17<br />

∆d=26<br />

d L (r) [Å]<br />

45.0<br />

35.0<br />

25.0<br />

15.0<br />

0.0 20.0 40.0 60.0 80.0<br />

r [Å]<br />

(c) NP=43<br />

15.0<br />

0.0 20.0 40.0 60.0 80.0<br />

∆d=−10<br />

∆d=−6<br />

∆d=−1<br />

∆d= 8<br />

∆d=17<br />

∆d=26<br />

(b) NP=7<br />

r [Å]<br />

∆d=−10<br />

∆d=−6<br />

∆d=−1<br />

∆d= 8<br />

∆d=17<br />

∆d=26<br />

Figure 7.3: Lipid bilayer hydrophobic thickness pr<strong>of</strong>iles, dL(r) as function <strong>of</strong> the distance r<br />

from the protein surface, for different hydrophobic mismatch ∆d = ˜dP − d o L, <strong>and</strong> for the three<br />

protein sizes NP=4, 7 <strong>and</strong> 43. The data refer to the reduced temperature T ∗ =0.7, which is well<br />

above the main-transition temperature <strong>of</strong> the pure system (T ∗ m=0.425). The calculated pure<br />

<strong>lipid</strong> bilayer hydrophobic thickness at T ∗ =0.7 is d o L =(23.6±0.2) ˚A. The symbols for ∆d refer to<br />

the following estimated values <strong>of</strong> the protein hydrophobic length: the open circle to ˜dP=14 ˚A<br />

(negative ∆d), the open triangle to ˜dP=18 ˚A (negative ∆d), the plus to ˜dP=23 ˚A (∆d ≈ 0), the full<br />

triangle to ˜dP=32 ˚A (positive ∆d), the full circle to ˜dP=41 ˚A (positive ∆d), <strong>and</strong> the full diamonds<br />

to ˜dP=50 ˚A (positive ∆d).

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