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

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

from figure 6.7). In the ht (L)<br />

6 t bilayer, this decrease in chain order leads to a decrease<br />

in interdigitation, <strong>and</strong> the two monolayers become more separated. This results in<br />

an increase <strong>of</strong> the bilayer thickness, even if the end-to-end distance decreases. In the<br />

case <strong>of</strong> the flexible <strong>and</strong> unsaturated bilayer, the increase in thickness is much smaller,<br />

<strong>and</strong> it can be accounted for by both the presence <strong>of</strong> the solute molecules in the bilayer<br />

interior <strong>and</strong> by a (small) increase in the end-to-end distance. Since the <strong>lipid</strong>s<br />

in these bilayer types are already much less ordered than in the stiff bilayer, the addition<br />

<strong>of</strong> the solutes does not have a significant effect on the order parameters (data<br />

not shown).<br />

It is important to observe that the effect <strong>of</strong> the neutral dumb-bells on the bilayer<br />

properties is the same than the effect <strong>of</strong> the amphiphilic dumb-bells, because they<br />

both absorb at the bilayer interface. However, since the neutral molecules largely<br />

diffuse in the water phase (<strong>and</strong> sometimes even in the bilayer inner core) they have<br />

an effective lower concentration in the bilayer compared to the amphiphilic ones.<br />

For this reason, they have a lesser effect on the bilayer structure compared to the<br />

amphiphilic molecules.<br />

6.3.3 Effect on the pressure distribution<br />

The effect <strong>of</strong> addition <strong>of</strong> solute molecules on the lateral pressure pr<strong>of</strong>ile across the<br />

bilayer is shown in figure 6.8, where we plot the pressure pr<strong>of</strong>iles in the <strong>bilayers</strong> <strong>with</strong><br />

added the solutes to compare them to the pressure pr<strong>of</strong>ile in the pure <strong>bilayers</strong>. As<br />

a general observation, the peaks (both positive <strong>and</strong> negative) <strong>of</strong> the lateral pressure<br />

decrease in magnitude by addition <strong>of</strong> solutes, irrespective <strong>of</strong> the bilayer type, <strong>and</strong> <strong>of</strong><br />

the nature <strong>of</strong> the added molecules. In this sense, the solutes can be seen as interfacial<br />

active molecules, that, like soap, have the effect <strong>of</strong> shifting to zero the local pressure<br />

(<strong>and</strong> the surface tension) <strong>of</strong> the interface where it locates.<br />

However, since a bilayer is not a simple interface, but has a complex structure, different<br />

molecules, at different position <strong>with</strong>in the bilayer, change the lateral pressure<br />

in different ways. To describe the characteristics <strong>of</strong> the pressure pr<strong>of</strong>ile, we make use<br />

<strong>of</strong> the interfaces defined in Chapter 4 (see figure 4.5 therein).<br />

It is important to remind that the integral <strong>of</strong> the lateral pressure across the bilayer<br />

is always zero, since the bilayer is in a tensionless state. Hence, a positive or negative<br />

change in the lateral pressure in one region <strong>of</strong> the bilayer, should be compensated by<br />

opposite changes in other regions <strong>of</strong> the bilayer.<br />

The largest shift in the pressure is at the headgroup/tails interface (first negative<br />

peak in figures 6.8), but the magnitude <strong>of</strong> this shift largely depends on the bilayer<br />

structure. For the stiff bilayer (figure 6.8(a)) both hydrophilic <strong>and</strong> hydrophobic solutes<br />

increase the local pressure by approximately the same amount, while for the<br />

more flexible <strong>bilayers</strong> (figure 6.8(b) <strong>and</strong> 6.8(c)) the amphiphilic molecules have a<br />

much larger effect than the hydrophobic ones. This shift <strong>of</strong> lateral pressure is com-

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