Thermodynamic equations for phase transition of dimyristoylphosphatidylcholine (DMPC) are calculated numerically by using the Gibbs free energy per one mole of hydrocarbon chains that is given by Sugár as
G/RT=F/RT+pV/RT+πA/2RT, where
R is the gas constant,
T is the absolute temperature,
p the pressure, π the osmotic lateral pressure. The free energy
F, the molar specific volume
V and the molar specific area
A are written as functions of the disorder parameter
S. The compressibility
B=-(1/V) (dV/dS) (dS/dp) is obtained as well as
V against the temperature, the pressure and the lateral pressure. In DMPC we have the critical point where π
c=-0.01712N/m and T
c=273.15+22.06 K at the atmospheric pressure
p=0. At the critical point
B increases anomalously and
V changes continuously from the disordered state as varying π. Contrarily as more increasing
p, V changes more discontinuously and
B behaves less anomalously at the first transition point. The results are compared with experiments for pressure dependence of
V in DMPC liposome suspension.
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