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Matrix metalloproteinases (MMPs): Chemical–biological functions ...

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2258 R. P. Verma, C. Hansch / Bioorg. Med. Chem. 15 (2007) 2223–2268<br />

Table 40. Biological, physicochemical, and structural parameters used to derive QSAR equation 42 for the inhibition of MMP-13 by diazepinehydroxamates<br />

(XXXII)<br />

No. X Y log1/IC50 (Eq. 42) CpYI Obsd. Pred. D<br />

1 CH3CH2C6H5 7.19 7.35 0.16 2.27 0<br />

2 CH3COC6H5 8.66 8.80 0.14 1.06 1<br />

3 C6H5COC6H5 8.89 8.80 0.09 1.06 1<br />

4 CH3COC6H4-4-OCF3 8.21 8.34 0.13 2.39 1<br />

5 CH3COC6H4-2-C6H5 8.34 8.15 0.19 2.95 1<br />

6<br />

7<br />

CH3COCH2NHOCOC(CH3)3 7.80 7.96 0.16 0.52 0<br />

a<br />

CH3 COCH2NH2 Æ HCl 7.34 8.43 1.09 0.85 0<br />

8 CH3COC(CH3) 3 7.96 7.92 0.04 0.63 0<br />

9 CH3COOC(CH3)3 7.59 7.46 0.13 1.97 0<br />

10 CH3 H Æ HCl 8.29 8.14 0.15 0.00 0<br />

11 CH3 CONHC6H5 7.77 7.76 0.01 1.11 0<br />

a<br />

Not included in the derivation of QSAR 42.<br />

log 1=IC50 ¼ 0:35ð 0:15ÞCpY þ 1:03ð 0:27ÞI<br />

þ 8:14ð 0:22Þ; ð42Þ<br />

n =10, r 2 = 0.925, s = 0.159, q 2 = 0.824, Q = 6.050,<br />

F = 43.167.<br />

Cp Y is the calculated hydrophobic parameter for Y-substituents.<br />

The indicator variable (I) takes the value of 1<br />

for the presence of COPh or its derivatives and 0 for the<br />

others in Y-position. The positive coefficient of I<br />

indicates that the presence of COPh or its derivatives<br />

at Y-position will improve the activity as observed in<br />

Table 40.<br />

Inhibition of MMP-13 by carboxylic acid derivatives<br />

(XXV). Data obtained from Pikul et al. 134 (Table 33).<br />

log 1=IC50 ¼ 2:67ð 1:42ÞCpX<br />

þ 2:55ð 0:57ÞCMRX<br />

þ 0:98ð 0:55ÞCMRY<br />

þ 4:21ð 2:65Þ; ð43Þ<br />

n =15, r 2 = 0.906, s = 0.341, q 2 = 0.799, Q = 2.792,<br />

F = 35.341.<br />

Cp X is the calculated hydrophobicity of the X-substituents,<br />

whereas CMRX and CMRY are the molar refractivities<br />

of X- and Y-substituents, respectively. No term<br />

appears for Z-substituents.<br />

Inhibition of MMP-13 by amide-substituted piperazine<br />

derivatives (XXXIII). Data obtained from Cheng<br />

et al. 9 (Table 41).<br />

O<br />

O S<br />

O<br />

HO N<br />

N<br />

H<br />

N<br />

O<br />

X<br />

XXXIII<br />

OCH 3<br />

log 1=IC50 ¼ 0:62ð 0:21ÞClogP<br />

0:72ð 0:18ÞCMR<br />

þ 15:30ð 1:73Þ; ð44Þ<br />

n = 10, r 2 = 0.925, s = 0.157, q 2 = 0.842, Q = 6.127,<br />

F = 43.167.<br />

Table 41. Biological and physicochemical parameters used to derive QSAR equation 44 for the inhibition of MMP-13 by amide-substituted<br />

piperazine derivatives (XXXIII)<br />

No. X log1/IC50 (Eq. 44) ClogP CMR<br />

Obsd. Pred. D<br />

1 CH3 9.00 9.07 0.07 0.15 8.58<br />

2 n-C5H11 8.77 9.04 0.27 1.96 10.43<br />

3 c-C6H11 8.82 8.78 0.04 1.88 10.72<br />

4 CH(OH)CH(Me)2 9.00 8.85 0.15 1.30 10.12<br />

5 CH2OC6H5 8.68 8.50 0.18 2.03 11.24<br />

6 C6H5 8.52 8.56 0.04 1.40 10.63<br />

7 Thiophen-2-yl 8.72 8.56 0.16 1.18 10.43<br />

8 Furan-2-yl 8.60 8.61 0.01 0.58 9.84<br />

9 5-CH3-C2N2S-4-yl 7.68 7.71 0.03 0.15 10.48<br />

10<br />

11<br />

3-C6H5-5-CH3-Isoxazol-4-yl 7.57 7.67 0.10 2.26 12.60<br />

a<br />

C6H4-4-C6H5 9.05 7.92 1.13 3.29 13.14<br />

a<br />

Not included in the derivation of QSAR 44.

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