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

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88 Interaction <strong>of</strong> small molecules <strong>with</strong> <strong>bilayers</strong><br />

the pure bilayer. We consider the parameter<br />

∆Q = Qdb − Qo<br />

, (6.1)<br />

Qo<br />

where Q can be one <strong>of</strong> the following: bilayer area, bilayer thickness, <strong>lipid</strong> hydrophobic<br />

length (projected along the bilayer normal). Qo <strong>and</strong> Q db refer to any <strong>of</strong> these<br />

quantities in the pure bilayer <strong>and</strong> in the bilayer <strong>with</strong> dumb-bells, respectively. For<br />

the definition <strong>and</strong> method <strong>of</strong> calculation <strong>of</strong> these quantities we refer the reader to<br />

section 4.2 <strong>of</strong> Chapter 4. The values <strong>of</strong> these differences for the different dumb-bells<br />

<strong>and</strong> bilayer types are shown in figure 6.6. By addition <strong>of</strong> the solute, the bilayer area<br />

∆Q %<br />

15<br />

10<br />

5<br />

0<br />

−5<br />

−10<br />

A<br />

D c<br />

n<br />

Lee A<br />

D c<br />

n<br />

Lee D c<br />

dbA dbH dbN<br />

(a) ht (L)<br />

6 t<br />

A<br />

n<br />

Lee ∆Q %<br />

15<br />

10<br />

5<br />

0<br />

−5<br />

−10<br />

A<br />

n<br />

Dc Lee A<br />

Dc<br />

n<br />

Lee n<br />

Dc Lee dbA dbH dbN<br />

(b) ht (L) t (K)<br />

4 t (L) t<br />

A<br />

∆Q %<br />

15<br />

10<br />

5<br />

0<br />

−5<br />

−10<br />

A<br />

n<br />

Dc Lee A<br />

Dc n<br />

Lee dbA dbH dbN<br />

(c) ht7<br />

Figure 6.6: Difference (as percent), <strong>with</strong> respect to the pure bilayer, <strong>of</strong> bilayer structural quantities<br />

(Q) by addition <strong>of</strong> different solute molecules in different bilayer types. The quantities<br />

considered are: bilayer area, A (black), bilayer hydrophobic thickness, Dc (black <strong>and</strong> white),<br />

<strong>and</strong> <strong>lipid</strong> hydrophobic end-to-end distance projected along the bilayer normal, L n ee (gray).<br />

(in black in figures 6.6) increases for all bilayer types, although the increase is much<br />

larger when the molecules absorb at the interface (amphiphilic <strong>and</strong> neutral dumbbells).<br />

Because we are considering the total area, <strong>and</strong> because the <strong>bilayers</strong> are tensionless,<br />

a larger number <strong>of</strong> molecules in the system results in a larger area compared<br />

to the pure bilayer. Moreover, if the solutes adsorb at the headgroup interfacial region<br />

this increase is larger. This increase in the bilayer area results in a lower interfacial<br />

density <strong>of</strong> <strong>lipid</strong>s, <strong>and</strong> in a potential creations <strong>of</strong> voids in the bilayer core. The<br />

rearrangement <strong>of</strong> the bilayer to compensate for this is very much dependent on the<br />

bilayer structure <strong>and</strong> on the type <strong>of</strong> solute. We will first consider the case <strong>of</strong> the ht (L)<br />

6 t<br />

bilayer, <strong>with</strong> either the neutral or the amphiphilic solute molecules, which both absorb<br />

at the interface near the <strong>lipid</strong> headgroups. Since the dumb-bells at the interface<br />

are far too short to fill-in the voids created in the bilayer interior by an increase <strong>of</strong> the<br />

surface area, two compensating mechanisms could happen. The <strong>lipid</strong> tails could become<br />

more disordered, or the <strong>lipid</strong>s in each opposing monolayer could interdigitate<br />

to fill-in the extra free volume. The decrease in bilayer hydrophobic thickness (<strong>and</strong><br />

the described shape <strong>of</strong> the density pr<strong>of</strong>iles) show that the latter mechanism is taking<br />

A<br />

D n<br />

cLee

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