Research Article

Development and Validation of Quantitative Structure-Activity Relationship Models for Compounds Acting on Serotoninergic Receptors

Table 4

Regression models for the correlation between values of biological activity ( 𝑝 𝐾 𝑖 , 𝑝 𝐷 2 , 𝑝 𝐴 2 ) and chromatographic data and molecular descriptors.

Equation no. p 𝐾 i R cR 2dF es fp gn h

(1)a a + b C - S 2 c S 1 / C + d S 3 / C e S 2 / 𝐶 0.830.687.48150.66870.001919
(2)b a + b C - S 5 c S 5 / C d C - S 4 + e C - S 1 0.730.534.00850.80870.022619
(3) a + b 𝑄 N c 𝜇 d l o g 𝐷 0.830.6911.04700.63870.000419
(4)aa − bHD + c log P   + dC-S5 + e 𝑉 m 0.780.605.31830.74620.008119
(5)b a b H D + c C - S 5 + d l o g 𝑃 e C - S 4 0.900.8014.60950.52720.000119

p 𝐷 2 =

(6)aa − bC-S4 + cC-S50.920.8426.62800.36540.000113
(7)b a b S 5 / C c C - S 4 0.680.464.22610.67660.046713
(8)a + b log D 𝑐 𝜀 L U M O 0.770.576.70030.60080.014213
(9)aa − bC-S4 + cC-S5 d 𝑄 𝑁 0.930.8619.21160.35600.000313
(10)b a + b l o g 𝐷 + c C S 4 0.770.607.49520.58140.010313

p 𝐴 2 =

(11)a a b C - S 7 + c S 1 + d S 4 / C 0.610.372.32311.00170.126716
(12)b a b C - S 6 + c C - S 3 + d S 1 / C 0.830.698.85240.70260.002216
(13)a + b Δ 𝐻 F − cμ + d 𝑅 m 0.830.698.88930.70730.002216
(14)a a b 𝜇 c S 3 / C d C - S 7 0.830.688.65940.70800.002516
(15)b a + b C - S 6 + c Δ 𝐻 F + 𝑑 l o g 𝑃 0.880.7814.01940.59340.000316

aChromatographic parameters from the experiment in RP2 TLC DSA system. bChromatographic parameters from the experiment in RP2 TLC DSB system. cThe correlation coefficient. dThe coefficient of determination. eThe variance ratio F. fThe standard error of estimate. gThe significance level of the equation. hThe number of compounds used to derive the regression equation.