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

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44 Structural characterization <strong>of</strong> <strong>lipid</strong> <strong>bilayers</strong><br />

bution presents a clear minimum in the center <strong>of</strong> the bilayer. This void is filled-in<br />

by the non-terminal tails beads, whose density distribution shows a maximum in the<br />

bilayer center. This distribution <strong>of</strong> densities indicates that the stiff bilayer is largely<br />

interdigitated: the molecules in one monolayer are not confined on one side <strong>of</strong> the<br />

bilayer midplane, but extend much further into the opposite monolayer. By decreasing<br />

the headgroup repulsion parameter to a hh = 15 the two monolayers separate,<br />

as can be seen from figure 4.3. The interdigitated phase is experimentally known<br />

to occur in <strong>lipid</strong> membranes below the melting temperature, although it does not<br />

spontaneously occur for double-tail <strong>lipid</strong>s <strong>with</strong> symmetric tails, but it has to be induced,<br />

for example, by changes in the environment or in the molecular structure <strong>of</strong><br />

the <strong>lipid</strong>s [90, 91]. In section 5.2 <strong>of</strong> Chapter 5, where we compute the phase diagram<br />

for single-tail <strong>lipid</strong>s, we will discuss the interdigitated phase in more detail.<br />

The effect <strong>of</strong> increasing the chain stiffness on the structure <strong>of</strong> the bilayer can be<br />

seen by comparing figure 4.3 <strong>with</strong> figure 4.2(a). Increasing the chain stiffness decreases<br />

the disorder in the <strong>lipid</strong> tails as it is also shown by the increase in the value<br />

<strong>of</strong> the order parameter S tail which is reported in table 4.2. The stiff <strong>lipid</strong>s are more<br />

aligned along the bilayer normal, <strong>and</strong> the terminal tail bead is more localized in the<br />

bilayer center, although still <strong>with</strong> a rather broad distribution. Also, the minimum in<br />

the distribution <strong>of</strong> the other tail beads (dashed line in figures 4.2 <strong>and</strong> 4.3) at the bilayer<br />

center is deeper than in the case <strong>of</strong> flexible <strong>lipid</strong>s.<br />

ρ(z)<br />

3<br />

2<br />

1<br />

0<br />

−6 −4 −2 0<br />

Z<br />

2 4 6<br />

w<br />

h<br />

t (1,..,n−1)<br />

t n<br />

ρ tot<br />

Figure 4.3: Density pr<strong>of</strong>iles for a bilayer formed <strong>of</strong> stiff <strong>lipid</strong>s <strong>with</strong> headgroup repulsion parameter<br />

ahh = 15. See also caption <strong>of</strong> figure 4.2.<br />

In table 4.2 we summarize the values <strong>of</strong> the structural properties <strong>of</strong> the three different<br />

<strong>bilayers</strong> considered. The <strong>bilayers</strong> <strong>of</strong> stiff <strong>lipid</strong>s have a larger hydrophobic thickness<br />

compared to the bilayer <strong>of</strong> flexible <strong>lipid</strong>s. Note, however, that, despite stiff <strong>lipid</strong>s have<br />

the same end-to-end length, because <strong>of</strong> interdigitation, the bilayer <strong>with</strong> a hh = 35 has<br />

a smaller thickness than the bilayer <strong>with</strong> a hh = 15. Since the volume occupied by

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