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. 2021 Feb 12;14(2):147. doi: 10.3390/ph14020147

Table 1.

Selected computational models of skin permeation.

Equation n R Ref.
log kp = −1.36 Δlog Poct-hept− 3.38 21 0.90 [4]
log Kp = −6.3 + 0.71 log Pow − 0.0061 Mw 93 0.82 [6]
log Kp = 0.82 log Pow − 0.0093 VM − 0.039 MPt − 2.36 60 0.95 [8]
log Kp = 0.84 log Pow − 0.07 (log Pow)2 − 0.27 Hb − 1.84 log Mw + 4.39 22 0.98 [23]
log Kp = 0.652 log Pow − 0.00603 Mw − 0.623 ABSQon − 0.313 SsssCH − 2.30 143 0.95 [13]
log Kp = −5.426 − 0.106 E − 0.473 S − 0.473 A − 3.000 B + 2.296 V 119 0.91 [12]
log Kp = −3.05 − 0.0065 QXXp + 0.65 ALOGP − 1.75 Neoplastic-80 + 0.22 F06[C-N] 158 0.91 [14]
log Kp = −5.426 − 0.106 E − 0.473 S − 0.473 A − 3.000 B + 2.296 V 119 0.91 [12]
log Kp = −5.048 − 0.586 π2H − 0.633Σα2H − 3.481 Σβ2H + 1.787 V 46 0.98 [10]

Where: log Pow—octanol-water partition coefficient; Δlog Poct-hept—the difference between logarithms of octanol-water and heptane-water partition coefficients; MW—molecular weight; VM—molecular volume; MPt—melting point; SsssCH—sum of E-state indices for all methyl groups; ABSQon—sum of absolute charges on nitrogen and oxygen atoms; Hb—total H-bond count; A, B, S, E, V—Abraham’s solvation parameters (A—hydrogen bond acidity; B—hydrogen bond basicity; S—dipolar interactions; E—excess molar refractivity; V—McGowan’s characteristic volume); Neoplastic-80—antineoplastic-like property at 80% similarity; ALOGP—log Pow calculated using ALOGP algorithm; F06[C-N]—frequency of carbon-nitrogen bond at a topological distance of 06; QXXp—electrostatic interactions between electric quadrupoles of van der Waals forces; π2H—solute dipolarity/polarizability; Σα2H—solute overall hydrogen-bond acidity; β2H—solute overall hydrogen bond basicity.