Blood-Brain Barrier Permeation: Molecular Parameters Governing Passive Diffusion

Abstract.

53 compounds with clinically established ability to cross or not to cross the blood-brain barrier by passive diffusion were characterized by means of surface activity measurements in terms of three parameters, i.e., the air-water partition coefficient, K _aw , the critical micelle concentration, CMC _D , and the cross-sectional area, A _D . A three-dimensional plot in which the surface area, A _D , is plotted as a function of K ⁻¹ _aw and CMC _D shows essentially three groups of compounds: (i) very hydrophobic compounds with large air-water partition coefficients and large cross-sectional areas, A _D > 80 Ų which do not cross the blood-brain barrier, (ii) compounds with lower air-water partition coefficients and an average cross-sectional area, A _D ≅ 50 Ų which easily cross the blood-brain barrier, and (iii) hydrophilic compounds with low air-water partition coefficients (A _D < 50 Ų) which cross the blood-brain barrier only if applied at high concentrations. It was shown that the lipid membrane-water partition coefficient, K _lw , measured previously, can be correlated with the air-water partition coefficient if the additional work against the internal lateral bilayer pressure, π _bi = 34 ± 4 mN/m is taken into account. The partitioning into anisotropic lipid membranes decreases exponentially with increasing cross-sectional areas, A _D , according to K _lw =const. K _aw exp(−A _D π _bi /kT) where kT is the thermal energy. The cross-sectional area of the molecule oriented at a hydrophilic-hydrophobic interface is thus the main determinant for membrane permeation provided the molecule is surface active and has a pK _a > 4 for acids and a pK _a < 10 for bases.