μ micelle, n ¼ μ 0micelle, n þ
RT
n
ln
X n
n
Therefore, distribution of assemblies’ size can be obtained as a function of X W if
difference of unitary potential, μ 0W À μ 0micelle, n and activity coefficient are known.
Assuming f W ¼ 1, Xn ¼ nX W exp Àn
μ omicelle, n Àμ 0W
RT
Â
Ã
is obtained. There is no formation
of lipid assemblies when X W is below critical micelle concentration (CMC). When
X W is above CMC, X W is kept constant and additional lipid molecules go to
formation of lipid assemblies. Following terms; bulk term (hydrophobic effect),
surface term (hydrophobic interaction among hydrocarbons and repulsive interaction
among polar heads), curvature term (elastic energy by bending) and packing term
(interaction among steric structure of lipid side chains) contribute to difference of
unitary potential, μ 0W À μ 0micelle, n . In these terms, surface term and curvature term
reduce μ 0micelle which become stabilizing force of large assemblies of lipid molecules. Considering formation principle of lipid bilayer membranes from view point
of free energies between hydrophobic interaction and repulsive interaction in polarnonpolar interface of lipid assemblies, the free energies are represented by
Plasma membrane
Mitochondria
Nucleus
Microsome
Lysosome
Nucleus
Mitochondria
Mitochondria
Mitochondria
Mitochondria
Microsome
Fig. 2.2 Schematic image and freeze-fractured photo of hepatocyte
2.2 Thermodynamics of Lipid Assemblies
21
RT
n
ln
X n
n
Therefore, distribution of assemblies’ size can be obtained as a function of X W if
difference of unitary potential, μ 0W À μ 0micelle, n and activity coefficient are known.
Assuming f W ¼ 1, Xn ¼ nX W exp Àn
μ omicelle, n Àμ 0W
RT
Â
Ã
is obtained. There is no formation
of lipid assemblies when X W is below critical micelle concentration (CMC). When
X W is above CMC, X W is kept constant and additional lipid molecules go to
formation of lipid assemblies. Following terms; bulk term (hydrophobic effect),
surface term (hydrophobic interaction among hydrocarbons and repulsive interaction
among polar heads), curvature term (elastic energy by bending) and packing term
(interaction among steric structure of lipid side chains) contribute to difference of
unitary potential, μ 0W À μ 0micelle, n . In these terms, surface term and curvature term
reduce μ 0micelle which become stabilizing force of large assemblies of lipid molecules. Considering formation principle of lipid bilayer membranes from view point
of free energies between hydrophobic interaction and repulsive interaction in polarnonpolar interface of lipid assemblies, the free energies are represented by
Plasma membrane
Mitochondria
Nucleus
Microsome
Lysosome
Nucleus
Mitochondria
Mitochondria
Mitochondria
Mitochondria
Microsome
Fig. 2.2 Schematic image and freeze-fractured photo of hepatocyte
2.2 Thermodynamics of Lipid Assemblies
21