Oily
film
The
cell membrane is made up of a double layer of oily molecules known as
lipids. In living cells, the lipid bilayer is studded with cholesterol
molecules and membrane-spanning proteins such as ion channels. All of
these are in constant motion, jostling and bobbing like a flock of rubber
ducks in a tub. At the same time, they bump into, repel, and interact
with a sea of solvent molecules on both sides of the membrane.
In
a watery solution, lipids will naturally assemble into sheets to avoid
interacting with the water. The interactions between cell membrane lipids
and surrounding water molecules also help stabilize the membrane against
the stresses incurred when cells swell and shrink. For this reason, the
interactions of every atom in the system can potentially affect the behavior
of the entire cell membrane.
Voth
and Ayton began their simulations by replicating experiments done in the
laboratory on real membranes. On NCSA's Platinum Linux cluster, the researchers
built a virtual version of the simplest cell membrane possible: a bilayer
made solely of DMPC, a type of lipid molecule. Their atomic-scale model
showed the membrane swelling in response to a decrease in exterior osmotic
pressure. The flexibility of their virtual membrane turned out to be very
similar to previously measured experimental values, confirming their model
was quite accurate.
But
just as the range of a standard camera lens is too limited to capture
the panorama seen by the eye, the molecular dynamics simulation was limited
by computing capabilities to just small snippets of membrane. The same
constraints meant the simulation followed the membrane for only a few
nanoseconds--a period too brief to observe longer-lasting effects playing
out in their entirety. To catch any effects that ripple across larger
portions of the cell surface, the researchers would have to expand the
model's scale.
To do this, Voth and Ayton applied the techniques of statistical mechanics.
A very broad and diverse field, statistical mechanics can take impossibly
large problems and reduce them to a manageable size. But the cost of reducing
the problem is that some information is lost. The trick is determining
which information is critical to keep in raw form and which information
can be averaged to simplify the model. "If you average too much,
you average away everything that's interesting," Voth says. "That's
the art in this technique." In the case of cell membranes, the most
critical information turned out to be the membrane's flexibility.
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