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2232 R. P. Verma, C. Hansch / Bioorg. Med. Chem. 15 (2007) 2223–2268<br />

R 1 (P1' substituent):<br />

Major determinant of activity and selectivity<br />

Small alkyl groups preferred for MMP-1 activity<br />

Longer alkyl and phenylalkyl chains offer<br />

selectivity over MMP-1 and MMP-7<br />

Zinc-binding group:<br />

Hydroxamic acid preferrred<br />

Ra (α substituent):<br />

Increases activity<br />

Can be cyclized to R 2<br />

HO NH<br />

of the data, and not on the hypotheses, and is valid only<br />

for the compound structures analogues to those used to<br />

build the model. QSAR models can stand alone to augment<br />

other graphical approaches or can be examined in<br />

tandem with equations of a similar mechanistic genre to<br />

establish their authenticity and reliability. 82 Potential<br />

use of QSAR models for screening of chemical databases<br />

or virtual libraries before their synthesis appears<br />

equally attractive to chemical manufacturers, pharmaceutical<br />

companies, and government agencies.<br />

It is important to distinguish between SARs and<br />

QSARs: SARs are occurring in the form of structural<br />

features that include molecular substructures or fragment<br />

counts related to the presence or absence of biological<br />

activity; while QSARs are typically quantitative<br />

in nature, producing categorical or continuous prediction<br />

scales. 83<br />

10.1. Review of QSAR studies on MMP inhibitors from<br />

the literature<br />

An attempt has been made to collect the QSAR data on<br />

MMP inhibitors from the literature, resulting in a total<br />

O<br />

R 1<br />

H<br />

N<br />

Ra O R2 Amide backbone:<br />

O<br />

R3 N<br />

H<br />

N-Methylation, Reverse amides<br />

reduce activity<br />

R 3 (P3' substituent):<br />

Aromatic groups preferred<br />

Charged/polar groups may<br />

affect biliary excretion<br />

R2 (P2' substituent):<br />

Aromatic substituens preferred for in vitro activity<br />

Cyclization to Ra or R3 Steric bulk close to amides is beneficial for oral bioavailability<br />

Figure 14. Summary of the structure–activity relationships (SARs) for right-hand side MMP inhibitors. Reprinted with permission from Ref. 7.<br />

Copyright 1999 American Chemical Society.<br />

R 3 (P3 substituent):<br />

Proline is preferred to all enzymes.<br />

L-thioproline enhances activity of<br />

MMP-2 and MMP-3<br />

O<br />

O N H<br />

R 3<br />

O<br />

H<br />

N<br />

R 2<br />

O<br />

N<br />

H<br />

R 1<br />

O<br />

H<br />

N OH<br />

R 1 (P1 substituent):<br />

Ala, Glu, Gly, Leu preferred.<br />

L-stereochemistry and an extended<br />

side chain will improve activity.<br />

Glu provides significant cleavage by<br />

MMP-7 and MMP-8 and negligible<br />

by MMP-1, MMP-2, and MMP-9.<br />

Val results in negligible cleavage<br />

for all enzymes<br />

Zinc-binding group:<br />

Hydroxamic acid preferrred<br />

R2 (P2 substituent):<br />

Arg, Leu, Met, Phe preferred.<br />

L-homophenylalanine enhances activity of MMP-2 and MMP-3.<br />

Arg is preferred for MMP-2 selectivity and Met appears<br />

to be good for MMP-7.<br />

Figure 15. Summary of the structure–activity relationships (SARs) for<br />

left-hand side MMP inhibitors. 7<br />

number of 44 QSAR models that are shown in Table 5.<br />

The descriptions about the physicochemical parameters,<br />

used for the derivation of these QSAR models, are listed<br />

in Table 6. The inhibition potency of various compound<br />

series against MMP-1, -2, -3, -7, -8, -9, and -13 has been<br />

found to be well correlated with a number of physicochemical<br />

and structural parameters. The important<br />

parameters for these correlations are hydrophobicity,<br />

Kier’s first-order valence molecular connectivity index<br />

( 1 v v ) of the molecule/substituent, electrotopological state<br />

(E-state) indices (Si) of the atom (i = S or N), and polarizability<br />

(Pol. or NVE). The most important of these is<br />

hydrophobicity, which is one of the most important<br />

determinants of inhibitory activity. Out of 44 QSAR,<br />

18 contain a correlation between inhibitory activity<br />

and hydrophobicity of the molecule/substituent. A negative<br />

linear correlation is found in 14 equations (Eqs.<br />

E2–E4, E12, E18, E25–E27, E33, E34, E36, E37, E39,<br />

and E43), and the coefficient ranges from 0.062 (Eq.<br />

E3) to 1.24 (Eq. E36). Less hydrophobic congeners<br />

in these compound families might display enhanced<br />

activity. A positive linear correlation is found in only<br />

one equation (Eq. E11). This suggests that the activity<br />

of this data set might be improved by increasing hydrophobicity<br />

of the substituents at ortho and meta positions.<br />

Parabolic correlations with hydrophobicity are<br />

found in three equations (Eqs. E1, E13, and E28), which<br />

reflect situations where activity declines with increasing<br />

hydrophobicity and then changes direction and increases.<br />

It may correspond to an allosteric reaction. 91–99<br />

10.2. Evaluation of new QSAR on MMP inhibitors<br />

10.2.1. Materials and methods. All the data have been<br />

collected from the literature (see individual QSAR for<br />

respective references). IC50 is the 50% inhibitory concentration<br />

of a compound, which is expressed in molar concentration.<br />

Similarly, K i is the inhibitory constant of a<br />

compound and is also expressed in molar concentration.<br />

log1/IC50 and log1/Ki are the dependent variables,<br />

which define the biological parameter for QSAR equations.<br />

Physicochemical descriptors are auto-loaded,<br />

and multi-regression analyses (MRA) used to derive

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