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Biophys J, October 2002, p. 1820-1833, Vol. 83, No. 4
Departments of Biomathematical Sciences and Physiology/Biophysics, Mount Sinai School of Medicine at New York University, New York, New York 10029 USA
In this paper a two-state, two-component, Ising-type
model is used to simulate the lateral distribution of the components and gel/fluid state acyl chains in
dimyristoylphosphatidylcholine/distearoylphosphatidylcholine (DMPC/DSPC) lipid bilayers. The same model has been successful in
calculating the excess heat capacity curves, the fluorescence recovery
after photobleaching (FRAP) threshold temperatures, the most frequent
center-to-center distances between DSPC clusters, and the fractal
dimensions of gel clusters (Sugar, I. P., T. E. Thompson, and R. L. Biltonen, 1999. Biophys. J. 76:2099-2110). Depending on the temperature and mole fraction the
population of the cluster size is either homogeneous or inhomogeneous.
In the inhomogeneous population the size of the largest cluster scales with the size of the system, while the rest of the clusters remain small with increasing system size. In a homogeneous population, however, every cluster remains small with increasing system size. For
both compositional and fluid/gel state clusters, threshold temperatures
the so-called percolation threshold temperatures
are determined where change in the type of the population takes place. At a
given mole fraction, the number of percolation threshold temperatures
can be 0, 1, 2, or 3. By plotting these percolation threshold
temperatures on the temperature/mole fraction plane, the diagrams of
component and state separation of DMPC/DSPC bilayers are constructed.
In agreement with the small-angle neutron scattering measurements, the
component separation diagram shows nonrandom lateral distribution of
the components not only in the gel-fluid mixed phase region, but also
in the pure gel and pure fluid regions. A combined diagram of component
and state separation is constructed to characterize the lateral
distribution of lipid components and gel/fluid state acyl chains in
DMPC/DSPC mixtures. While theoretical phase diagrams of two component
mixtures can be constructed only in the case of first-order
transitions, state and component separation diagrams can be constructed
whether or not the system is involved in first-order transition. The
effects of interchain interactions on the component and state
separation diagrams are demonstrated on three different models. The
influences of state and component separation on the in-plane and
off-plane membrane reactions are discussed.
Biophys J, October 2002, p. 1820-1833, Vol. 83, No. 4
© 2002 by the Biophysical Society 0006-3495/02/10/1820/14 $2.00
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