Short communication Prediction of Anti-mycobacterial Activity of 2-(4-(4,5-dihydro-1fl^-pyrazol-3-yl)phenoxy)acetic acid Analogs: A QSAR Approach Revathi A. Gupta,1 Arun Kumar Gupta2 and Satish G. Kaskhedikar1* 1 Molecular Modelling Study Group, CADD Laboratory, Department of Pharmacy, Shri G.S. Institute of Technology and Science, 23 Park Road, Indore 452003, M.P., India 2 Deaprtment of Medicinal Chemistry, Smriti College of Pharmaceutical Education, Dewas Naka, Indore 452010, M.P., India * Corresponding author: E-mail: sgkaskhedikar@redijfmail.com; Received: 15-01-2009 Abstract Tuberculosis is one of the most prevalent infectious disease affecting approximately 8 million people every year. The emergence of multidrug resistant tuberculosis together with the spread of severe opportunistic disseminated infections is the tremendous problem. With this view in the present study, an attempt has been made to explore physicochemical requirements of 2-(4-(4,5-dihydro-1ff-pyrazol-3-yl)phenoxy)acetic acid analogs for binding with Mycobacterium tuberculosis H37Rv and isoniazid resistant strains. The quality of QSAR models obtained from regression within acceptable statistical range (explained variance ranging from 81.9 to 87.4%). The study shows that molecular geometry, atomic masses, hydrogen acceptor donor interactions are driving forces for describing the activity of 2-(4-(4,5-dihydro-1ff-pyrazol-3-yl)phenoxy)acetic acid as anti-mycobacterial agents. Keywords: 2-(4-(4,5-dihydro-1ff-pyrazol-3-yl)phenoxy)acetic acid analogs; anti-mycobacterial activity; modified Free Wilson analysis; QSAR 1. Introduction Tuberculosis (TB) is still recognized as a disease of worldwide incidence. It poses a global healthcare emergency with an estimated 8 million new cases and 1.8 million fatalities per annum worldwide.1, 2 TB control has been made difficult in recent years by the apparent synergy between the causative agent, Mycobacterium tuberculosis, and HIV.3, 4 The ability of Mycobacterium tuberculosis (MTB) to grow and persist in host and to establish and maintain a state of latent tuberculosis infection from which it can reactivate to cause disease is critical to its extraordinary success as a pathogen. Actively replicating tubercle bacilli die when abruptly deprived of oxygen. They shift into a state of dormancy, when allowed to adapt in gradually diminishing supply of oxygen. To keenly control TB, the development of drugs that are active against these "Dormant" organisms is necessary, prolonged deprivation of nutrients results in a marked slowing of bacterial growth and concomitant phenotypic resistance. Given this backdrop, the effective control of TB requires the identification of new drug targets and the discovery of novel drugs.5, 6 With the current chemotherapy, drug resistance is the tremendous problem. In addition, the length and complexity of current TB treatment regimens results in poor patient compliance, a major contributing factor in the emergence of multi-drug-resistant tuberculosis7 (MDRTB) and extensively drug-resistant tuberculosis (XDRTB)8. In spite of this, emergence of multiple drug resistant TB together with the spread of severe opportunistic disseminated infections that have focused the attention of scientific community throughout the world on urgent need for anti-mycobacterial agents. However, powerful new anti-tuberculosis drugs with new mechanism of action have not been developed in the last 40 years. Quantitative structure activity relationships (QSAR) studies are tools of prediction endpoints of interest on organic compounds acting as drugs, which have not been experimentally determined. Many physiological activities of compounds can be related to their composition and structure. The QSAR analysis of the anti-mycobacterial agents is the current highly concerned area of research. Several reports have been published regarding pyrazoline or phenoxyacetic acid derivatives are active against many mycobacteria. The QSAR analysis highlights the descriptors for important characteristic of antitubercular activity of these derivatives in relation to the confirmation of mo- lecule, penetration into biological system and affinity towards receptor through electrostatic interaction. The purpose of this study was to develop some good, statistically significant QSAR models to correlate and predict antitubercular activity of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid derivatives. These QSAR model allow the prediction of antitubercular activity with an aim to reduce the number of compounds Table 1. Structures and in vitro anti-mycobacterial activities against Mycobacterium tuberculosis (H37Rv and Isoniazid resistant strain) MTB" INH Res MTB'' INH Res MTB Jb" Comp. Ar X MTBa MIC1(in ^/ml) pMIC1c MIC2(in ^/ml) pMIC2c T-1 6.25 4.790 6.25 4.790 T-2 ho- 0.20 6.303 0.20 6.303 T-3 O2N 6.32 4.833 6.25 4.838 T-4 F- 0.96 5.624 0.96 5.624 T-5 H3C-Y 6.15 4.813 6.15 4.813 T-6 12.5 4.506 12.5 4.506 T-7 6.25 4.806 6.25 4.806 T-8 0.58 5.840 0.58 5.840 O 6.25 4.822 6.25 4.822 T-10 F- O 3.16 5.088 3.25 5.076 t-11 hjc- O 4.12 4.969 6.25 4.788 T-12 Cl- T-13 O O 0.13 1.26 6.492 5.506 0.13 1.26 6.492 5.506 S S S S S S S S Comp. Ar X MTBa MTBa INH Res MTBb INH Res MTBb MICj(in ^/ml) pMICjC MIC2(in p/ml) pMIC2c T-14 O 5.32 4.859 5.42 4.851 T-15 O 6.25 4.788 6.25 4.788 T-16 O 0.58 5.822 0.58 5.822 T-17 TT-1 Cl- O 6.25 0.06 4.822 6.845 6.25 0.06 4.822 6.845 TT-2 0.12 6.544 0.12 6.544 TT-3 TT-4 O 6.25 6.25 4.838 4.772 3.12 6.12 5.140 4.781 TT-5 HO- O 1.23 5.496 1.23 5.496 a Mycobacterium tuberculosis ^Isoniazid-resistant Mycobacterium tuberculosis, c negative loga- rithm of MIC in mole synthesis for antitubercular therapy with respect to cost, time. It's also aid in the designing of potent and safer inhibitors. The quantification of responsible physicochemical properties was done with the help of regression techniques. 2. Experimental Biological activity: The set of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs and their anti-mycobacterial minimum inhibitory concentration data (MIC1 against H37Rv and MIC2 against isoniazid resistant strain) were taken from the reported work of Shahar-yar et al9. These activity values were converted into negative logarithmic molar dose for quantification of structural features (Table 1). Descriptors computation: In pursuit of potent anti-tubercular drugs, de-novo contribution was explored through Fujita Ban method, substituent contribution have been investigated through Hansch substituent con-stant10-11 while molecular modeling study was performed using CS ChemOffice.12 Structure of all the compounds was sketched using builder module of the program. Least energy conformers were generated through molecular mechanics (MM2) until the root mean square (RMS) gradient value became smaller than 0.1 kcal/mol À and subsequently subjected to re-optimization via MOPAC using Austin model-1 (AM1) method until the RMS gradient attained a value smaller than 0.001 kcal/ mol À. The basis of energy minimization is that the drug binds to the receptor in the most stable form i.e. minimum energy state form. The minimized molecule was saved as MOL file format. These files were used for calculation of various physicochemical descriptors with the help of DRAGON.13 Regression Analysis: In order to gain insight to the essential structural and physiochemical requirements for anti-mycobacteral activity in this class of molecules, 22 compounds were selected. These were divided into training set of 17 compounds and test set of 5 compounds. An effort to develop quantitative mathematical model, sequential multiple regression analysis was performed through VALSTAT14. Preliminary model were selected on the basis of following statistical parameters; n-number of compounds, r-multiple correlation coefficient, r2adj - adjustable squared correlation coefficient, SEE-standard error of estimation, F- Fisher's statistics. Selected models were further validated using various statistical parameter like predictive power by internal (leave N out cross validation, bootstrapping and randomization method) and external validation method. S S S 3. Results and Discussion In the present study, efforts have been made to find the structural requirements for the inhibitory activity of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs against M. tuberculosis. Quantitative models were developed by means of de-novo contribution, substituent constant contribution and structural contribution considering regression methodology. Contribution of basic scaffold i.e., 2-{4-(4,5-dihy-dro-1H-3-pyrazolyl)-2-methoxyphenoxy}acetic acid and substituent moieties were explored through modified Free Wilson analysis (Table 2). The multi-parametric mathematical expression against H37Rv indicated that many substituent's have poor contribution to the inhibitory activity. However, the multi-variant model was further evaluated by reducing the number of substituents to conquer the 95% confidence level. The successive regression analysis yielded tri-parametric models against H37Rv (Eqn-1), with imperative structural features. pMIC1 = 0.900(±0.321) 4-0HC6H4 + 1.669(±0.321) 4-ClC6H4 + 1.025(±0.321) 2-ClC6H4 + 4.999 n = 22, r = 0.823, F = 12.620 adj = 0.624, SEE = 0.428, (1) Modified Free Wilson analysis of inhibitory activity of pyrazol-3-yl analogs concluded that the substitutions at 2nd and 4th position of phenyl ring present on 5th position of pyrazolyl are crucial for the activity. Although literature reveals that substitution of thio moiety at N1 position of pyrazoline ring improves the antitubercular activity instead of carbonyl moiety. It is interesting to mention that, further correlation between inhibitory activity and the substituent constant was extended by Hansch approach. Regression furnished several equations, but statistically significant tri-parame-tric model against H37Rv was considered (Eqn. 2). pMICj = 1.566(±0.223)n + 1.989(±0.300)HD + 1.202(±0.326}cf +4.583 n = 22, r = 0.873, r2adj= 0.722, SEE = 0.368, F = 19.203 (2) Eqn-2 has a correlation coefficient (0.873), which accounted for 72.2% of variance in the activity. The data showed Table 2. Modified Free Wilson matrix of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs Ar X Comp. ^ 4-OH C6H4 4-N02 C6H42 4-F C6H4 4-CH3 C6H43 4-Cl C6H4 4-NH2 C6H42 3-N02 C6H42 2-Cl C6H5 2-OH C6H4 C6H5CH2 S T-1 1 0 0 0 0 0 0 0 0 0 0 1 T-2 1 1 0 0 0 0 0 0 0 0 0 1 T-3 1 0 1 0 0 0 0 0 0 0 0 1 T-4 1 0 0 1 0 0 0 0 0 0 0 1 T-5 1 0 0 0 1 0 0 0 0 0 0 1 T-6 1 0 0 0 0 0 1 0 0 0 0 1 T-7 1 0 0 0 0 0 0 0 0 0 1 1 T-8 1 0 0 0 0 0 0 0 0 1 0 1 T-9 1 0 1 0 0 0 0 0 0 0 0 0 T-10 1 0 0 1 0 0 0 0 0 0 0 0 T-11 1 0 0 0 1 0 0 0 0 0 0 0 T-12 1 0 0 0 0 1 0 0 0 0 0 0 T-13 1 0 0 0 0 0 0 0 1 0 0 0 T-14 1 0 0 0 0 0 1 0 0 0 0 0 T-15 1 0 0 0 0 0 0 0 0 0 1 0 T-16 1 0 0 0 0 0 0 0 0 1 0 0 T-17 1 0 0 0 0 0 0 1 0 0 0 0 TT-1 1 0 0 0 0 1 0 0 0 0 0 1 TT-2 1 0 0 0 0 0 0 0 1 0 0 1 TT-3 1 0 0 0 0 0 0 1 0 0 0 1 TT-4 1 0 0 0 0 0 0 0 0 0 0 0 TT-5 1 1 0 0 0 0 0 0 0 0 0 0 that overall internal statistical significance level better than 99.9% as it exceeded the tabulated F(3,18 a 0.001) = 9.42. The P value of each substituent constant is less than 0.001, suggests linear relationship between the descriptors and activity. Swain Lupton field constant is an electronic parameter and it's contributed positively to the model. Hydrogen donor (HD) is pharmacophoric feature and its representative of hydrogen donor acceptor interaction, which is crucial for the activity. Hansch ö substituent constant describes the contribution of a substituent to the li-pophilicity of a compound, which is decisive in mycobac-terial cell wall infiltration. In extend of our study; structural contributions were explored through DRAGON descriptors against H37Rv and INH resistant strain of Mycobacterium tuberculosis. The series was divided into a training set of 17 compounds (T-1 to T-17) and test set of 5 compounds TT-1 to TT-5 (Table 1), on the basis of structural diversity and complete range of variation in inhibitory activity. Statistical significance expressions against H37Rv (Eqn 3 & 4) and against INH resistant strain (Eqn 5 & 6) were selected respectively. pMIC, = 14.779(±1.783) ATS8m + 5.064(±0.563) GATS1e -1.021(±0.127) N-069 -8.750 n = 17, r = 0.938, r2adj = 0.853, SEE = 0.228, F = 31.949 pMICj = 1.027(±0.166) nO + 91.436(±16.274) X1Av + 9.686(±1.118) GATS3e -43.722 n = 17, r = 0.924, F = 25.184 r2^^ = 0.819, SEE = 0.253, (4) pMIC2 = 15.402(±1.666) ATS8m + 5.149(±0.526) GATS1e -1.018(± 0.119) N-069 -9.163 n = 17, r = 0.948, F = 38.134 r'd, = 0.874, SEE = 0.213, (5) pMIC2 = 1.051(±0.164) nO + 93.737(±16.043) X1Av + 9.827(±1.102) GATS3e -44.770 n = 17, r = 0.928, F = 26.709 r'd = 0.828, SEE = 0.250, (6) (3) Selected set of mathematical expressions showed correlation coefficient better than 0.920, which accounted for more than 81.9% of the variance in the activity. The data showed overall internal statistical significance level better than 99.9% as it exceeded the tabulated F(3,13 a o.oo1) = 11.9. The P value of each substituent constant is less than 0.001, suggests linear relationship between the descriptors and activity. Predicted leave one out (LOO) and Predicted value of test set showed in Table 3. Table 3. 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs predicted (LOO) pMICj & pMIC2 and Predicted pMICj & pMIC2 values with residual (Res) for training and test set respectively. *Comp. Eqn.3 Eqn.4 Eqn.5 Eqn.6 "pMICj Res "pMICj Res bpMIC2 Res bpMIC2 Res T-1 4.980 -0.190 4.502 0.288 4.962 -0.172 4.475 0.315 T-2 6.131 0.172 6.148 0.155 6.162 0.140 6.157 0.146 T-3 4.574 0.260 4.513 0.320 4.600 0.238 4.491 0.347 T-4 5.211 0.413 5.311 0.313 5.235 0.389 5.290 0.334 T-5 4.792 0.021 4.867 -0.054 4.768 0.045 4.850 -0.037 T-6 4.975 -0.470 4.825 -0.319 4.988 -0.482 4.799 -0.293 T-7 5.118 -0.313 5.150 -0.344 5.109 -0.303 5.139 -0.333 T-8 5.702 0.138 5.916 -0.076 5.705 0.135 5.919 -0.079 T-9 4.885 -0.064 4.936 -0.115 4.862 -0.041 4.915 -0.093 T-10 5.206 -0.117 5.564 -0.476 5.180 -0.104 5.539 -0.462 T-11 4.543 0.426 4.788 0.181 4.538 0.250 4.786 0.001 T-12 6.360 0.132 5.911 0.581 6.386 0.106 5.913 0.580 T-13 5.862 -0.357 5.954 -0.448 5.851 -0.345 5.954 -0.448 T-14 4.481 0.378 4.637 0.222 4.440 0.411 4.603 0.248 T-15 4.926 -0.138 4.942 -0.154 4.862 -0.075 4.926 -0.138 T-16 5.741 0.082 5.848 -0.026 5.700 0.122 5.844 -0.021 T-17 5.041 -0.220 4.936 -0.115 5.025 -0.204 4.915 -0.093 TT-1 6.957 -0.112 6.103 0.742 7.032 -0.187 6.110 0.735 TT-2 5.716 0.828 5.841 0.703 5.738 0.806 5.844 0.700 TT-3 5.157 -0.319 4.604 0.234 5.195 -0.055 4.589 0.551 TT-4 4.927 -0.155 4.546 0.226 4.877 -0.096 4.520 0.261 TT-5 5.968 -0.472 6.094 -0.598 5.946 -0.450 6.095 -0.599 * T-1 to T-17 are training set compounds while TT-1 to TT-5 are test set compounds, a predicted negative logarithm of MIC against Mycobacterium tuberculosis H37Rv ^ predicted negative logarithm of MIC against Isoniazid-resistant Mycobacterium tuberculosis strain. Table 4. QSAR statistics of significant equations Eqn. n r r2adj SEE F QF VIF r2bs Chance Q2 spress SDEP r2pred 1 22 0.823 0.624 0.428 12.620 1.922 - - <0.002 - - - - 2 22 0.873 0.722 0.368 19.203 2.371 1.074 to 2.904 0.781 <0.001 0.606 0.438 0.428 - 3 17 0.938 0.853 0.228 31.949 4.108 1.788 to 2.537 0.896 <0.001 0.726 0.315 0.303 0.715 4 17 0.924 0.819 0.253 25.384 3.647 1.746 to 6.437 0.865 <0.001 0.754 0.298 0.287 0.589 5 17 0.948 0.874 0.213 38.134 4.439 1.788 to 2.537 0.906 <0.001 0.761 0.298 0.286 0.719 6 17 0.927 0.828 0.250 26.709 3.715 1.746 to 6.437 0.877 <0.001 0.764 0.296 0.284 0.451 Regression analysis revealed that identical physi-cochemical properties contributed towards the inhibitory activities of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phe-noxy)acetic acid analogs against H37Rv and INH resistant strains of Mycobacterium tuberculosis with at par multiple regression coefficients (Eqn. 3 & 5 and Eqn. 4 & 6). Regression analysis depicted that this compounds might be act through enzymes, which is not affected through INH. Effect of inter correlation of descriptors were checked through variance inflation factor (VIF)15. VIF value is calculated from 1/(1 - r2), where r2 is the multiple correlation coefficient of one descriptor's effect regressed on the remaining molecular descriptors. If VIF value is larger than 10, information of descriptor might be overlap with other descriptors. In models VIF values of these descriptors positioned in the range of 1.78 to 6.44 (Table 4). Therefore, from VIF analysis it is clear that the descriptors used in models are considerably self-governing. This quality factor QF is defined as the ratio of correlation coefficient to the standard error of estimation that is QF = r/SEE and is used to account for the predictive power of the model. Obviously, the larger value of r, the smaller SEE, and higher will be QF, as well as better will be the predictive power of the model. QF value for Eqn. 3 to 6 falls in between 3.64-4.44. Goodness of fit is calculated as probable error of correlation (PE), if the value of multiple correlation coefficients is more than six times of PE than the expression is good and reliable. 7.0 ■ 6.6 ■ U C. 6.0 ■ u 6.6 ■ u b 6.0 ■ O q 4.6 ■ 4.0 ■ ìA iJr^ HP 1 • eqn-3 ■ eqn-4 4.0 4.S 6.0 6.6 6.0 Experimental pMICj 6.6 7.0 QSAR should be evaluated according to its ability to predict the activity of molecules, which contains the data, the dependent activity and the independent variables. Such an evaluation can be done by cross-validation method, which is based on 'leave-n-out' concept. In each step 'n' molecules are randomly or on turn excluded from the QSAR table. The QSAR equation is then calculated and used to predict the activity of these n molecules. The methodology yields cross-validated parameters, PRESS (predictive residual sum of squares), SSY (sum of the square of the response value), nQ2 (overall predictive ability), Spress (uncertainty of predictive), and SDEP (predictive square error). Parameters obtained for models discussed above are given in Table 4. The predicted activity of test set compounds are very close to their actual activity, which indicate the robustness of model and also indicates that it can be used confidently for predicting the anti-mycobacterial activity of similar compounds (Table 3). The correlation of observed to predicted LOO activity are shown in Figure 1 & 2 for training set while predicted activity of test set are shown in Figure 3 & 4. Inhibitory activity of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs in eqn. 3 and 5 mainly govern through ATS8m and GATS1e positively while N-069 negatively. Similarly eqn. 4 and 6 are contributed through nO, X1Av, GATS3e positively. ATS8m is Broto-Moreau Autocorrelation Descriptor16 weighted by atomic mass. It's calculated from the molecular graphs, by summing the product of atom weights of terminal atoms of Figure 1. Graphical representation of experimental & LOO (leave one out) predicted pMICj obtained from eqn-3 and 4 against Myco- Figure 2. Graphical representation of experimental & LOO (leave one out) predicted pMIC2 obtained from eqn-5 and 6 against Myco-bacterium tuberculosis Isoniazid resistant strain bacterium tuberculosis H37Rv strain Figure 3. Graphical representation of experimental & predicted p-MIC J obtained from eqn-3 and 4 against Mycobacterium tuberculo- Figure 4. Graphical representation of experimental & predicted p-MIC2 obtained from eqn-5 and 6 against Mycobacterium tuberculosis Isoniazid resistant strain considering path length 8. Broto-Moreau Autocorrelation Descriptors can be calculated from following equation; (7) where, w^ and w^ are the atomic masses weights of the atoms i and j, and Sij is Kronecker delta, that is, Sij =1 if the ijth entry in the Topological Level Matrix is = d, and 5j = 0 otherwise. GATS1e and GATS3e are Gray autocorrelation descriptors weighted by atomic Sanderson electronegativities and calculated from molecular graphs at path length 1 and 3 respectively. Sanderson electronegativities17 allow the estimation of bond energies in a wide range of compounds. Sanderson electronegativities are representative of molecular geometry. X1Av is average valence connectivity index chi-1. X1Av mathematically expressed as 1/2 (8) K-1 Where, (n5^) is the product of the valence vertex degrees of the atoms that form a connected subgraph with m = 1 edges, and K is the total number of such distinct connected subgraphs (the H-depleted molecular graph) each having m = 1 edges. Its accounts for the presence of heteroatoms and double and triple bonds. N-069 is Ar-NH2 /X-NH2 atom centered fragments defined by Ghose-Crip-pen.18. nO is number of Oxygen which play crucial role in Hydrogen acceptor donor interaction. 4. Conclusion The molecular modeling study of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs brings im- portant structural insight to aid the design of potent anti-mycobacterial agents. The QSAR models are statistically sound and explain more than 80% of the variance in the experimental activity with significant predictive power as is evidenced from the predicted activity of test set compounds. The study shows that molecular geometry, atomic masses, hydrogen acceptor donor interaction are driving forces for describing the activity of 2-(4-(4,5-dihydro-1H-pyrazol-3-yl)phenoxy)acetic acid analogs as anti-myco-bacterial agents. Modified Free Wilson analysis of inhibitory activity of pyrazol-3-yl analogs concluded that the substitutions at 2nd and 4th position of phenyl ring present on 5th position of pyrazolyl are crucial for the activity. Hansch substituent constant also explain the importance of associated substitution in the molecule, which should be taken in to account while designing new inhibitors. These models are not only able to predict the activity of test compounds but also explained the important structural features of the molecules in a quantitative manner. 5. Acknowledgement The authors are grateful to the director of Shri G. S. Institute of Technology and Science, Indore for providing facilities for this work. The author R. A. G. is grateful to UGC, New Delhi, for providing junior research fellowship. 6. Reference 1. C. Dye, Lancet, 2006, 367, 938-940. 2. R. A. Gupta, A. K. Gupta, L. K. Soni and S. G. Kaskhedikar, QSAR Comb. Chem., 2007, 26, 897-907. 3. W. F. Paolo, Jr & J. D. 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Predstavljena študija opisuje fizikalno kemijske zahteve analogov fenoksi ocetne kisline za vezavo z H37Rv in isoniazid odpornim sevom Mycobacterium tuberculosis. Kvaliteta pridobljenih QSAR modelov, pridobljenih z regresijo, je bila v okviru sprejemljivih statističnih območij (razložena varianca od 81.9 to 87.4 %). Študija kaže, da so geometrija molekul, atomske mase, ter interakcije med donorji in akceptorji vodilne gonilne sile za opis aktivnosti fenoski ocetne kisline kot anti-mikobakterijskega agensa.