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Electronic Journal of Biotechnology
Universidad Católica de Valparaíso
ISSN: 0717-3458
Vol. 11, Num. 3, 2008

Electronic Journal of Biotechnology, Vol. 11, No. 3, July 15, 2008

RESEARCH ARTICLE

Toxicity caused by para-substituted phenols on Tetrahymena pyriformis: The structure-activity relationships

Lorentz Jäntschi*1 , Violeta Popescu2 , Sorana D. Bolboacă3

1Department of Chemistry, Technical University of Cluj-Napoca, 400641 Cluj-Napoca, Romania Tel: 4 0264 401775 Fax: 4 0264 415054 E-mail: lori@chimie.utcluj.ro
2Department of Chemistry, Technical University of Cluj-Napoca, 400641 Cluj-Napoca, Romania Tel: 4 0264 401775 Fax: 4 0264 415054 E-mail: violeta@chimie.utcluj.ro
3Department of Medical Informatics and Biostatistics, "Iuliu Haţieganu" University of Medicine and Pharmacy, 400349 Cluj-Napoca, Romania Tel: 4 0264 431697 Fax: 4 0264 593847 Email: sbolboaca@umfcluj.ro
*Corresponding author

Financial support: The research supported by the UEFISCSU Romania through research grants ID_458 & ID_1051.

Received August 6, 2007 / Accepted January 4, 2008

Code Number: ej08041

Abstract

The toxicity of thirty para-substituted phenols on Tetrahymena pyriformis was modelled using an original methodology that uses the complex structural information of the compounds. Two models were built. The methodology allows atomic properties to be assigned to toxicity based on the selection of pairs of descriptors from the entire family, which is called Molecular Descriptors Family (MDF). One model has two independent structural descriptors and the other has four. The model with four descriptors proved to have high estimated and predictive abilities (over 97% of toxicity could be explained by structural information). The partial charge distribution by bonds (molecular topology) and space (molecular geometry) interaction proved to be related with the toxicity of para-substituted phenols on Tetrahymena pyriformis. The predictive ability of the model was tested by using the following methods: the cross-validation leave-one-out and the training versus test experiments. The comparisons among the models were performed using the correlated correlations method. The embedding of the complex information from the structure using MDF methodology can lead to further investigations of the mechanism of chemicals toxicity on Tetrahymena pyriformis.

Keywords: para-substituted phenol derivatives, structure-activity relationships, Tetrahymena pyriformis, toxicity.

Abbreviations:

MDF: Molecular Descriptors Family
MLR: Multiple Linear Regression
NN(s): Neural Network(s)
qSARs: quantitative Structure-Activity Relationships
SAR(s): structure-activity relationship(s)

The development of information and computing technologies have led to the development of structure-activity/property relationships (qSARs) methods with focus on informatics and modelling (Diudea et al. 2001). The qSARs methods are used for the quantitative characterization of the relationships between the structure of compounds and their activity or property in many fields such as: drug design (Duch et al. 2007; Prathipati et al. 2007), environmental sciences (Li and Xi, 2007; Knauer et al. 2007; Jager et al. 2007), biotechnology (Li et al. 2007), and all the fields of chemistry (Niu et al. 2007; Malík et al. 2007; Scotti et al. 2007; Lubbers et al. 2007).

The toxicity of para-substituted phenols on Tetrahymena Pyriformis (a non-pathogenic unicellular protozoan) was studied by many researchers. The toxicity has been analyzed by using the octanol/water partition coefficient (Schultz, 1987a), the hydrophobicity/ionization surface (Schultz, 1987b; Schultz et al. 1996), electrophilicity (Roy et al. 2006). Different approaches have been used: quantitative neighbourhoods of atoms (Lagunin et al. 2007), core electron binding energy (Takahata et al. 2007), quantum topological molecular similarity (Loader et al. 2007), neural networks (Ivanciuc, 1998) or back propagation artificial neural networks (Yang et al. 2006).

The main objective of the present study was to characterize the toxicity caused by para-substituted phenols on Tetrahymena pyriformis by using the molecular descriptors family on the structure-activity relationships approach. This approach proved its estimated and predictive abilities on different classes of chemical compounds, both on properties and activities (Jäntschi and Bolboacă, 2007).

Materials and Methods

A sample of thirty para-substituted phenols (HO-C64-R) was included into the study. The experimental toxicities on Tetrahymena pyriformis (Toxexp), expressed as the logarithm of the inverse of the IGC (inhibitory growth concentration) value in mmol/l, were taken from a previously reported research (Schultz, 1987b).

The MDF on the SARs (Jäntschi, 2004; Jäntschi, 2005) was applied. This method included the following six steps:

Step 1: The topological (2D) and geometrical (3D) model of investigated para-substituted phenols was obtained using the HyperChem software. The geometry of the compounds was optimized by applying the semi-empirical Extended Hückel model (Hoffmann, 1963) and the quantum mechanics model (Cornell et al. 1995). The output files were stored as *.hin files.

Step 2: The experimental data were collected and were stored into a *.txt file.

Step 3: It includes the construction, generation, calculation and filtration of the molecular descriptors family. The *.hin files, which contain information about the topology, geometry and charges distribution for each para-substituted phenol, represented the primary data file required to construct, generate, and calculate the molecular descriptors family. A set of five PHP programs generated the MDF for para-substituted phenols: ▪ 0_mdf_prepare.php creates the structure of tables for the investigated compounds; ▪ 1_mdf_generate.php generates the MDF of the para-substituted phenols and stores them into a table; ▪ 2_mdf_linearize.php applies the linearizing operator and stores valid records into tables; ▪ 3_mdf_bias.php sorts the descriptors by squared correlation coefficient and deletes identical entries; ▪ 4_mdf_order.php orders the descriptors from highest to lowest by the squared correlation coefficient again and creates a new table. The results are stored on a FreeBSD server from IntraNet [IP 172.27.211.5] using a MySQL database server.

Each molecular descriptor has a name consisting of seven-letters that describes the modality of its construction. The description of each possible character is presented in Table 1.

Table 1. Characters in the name of the molecular descriptors.


 Letter 

Characters

1st

Operator of linearization: I (identity, no change), i (inverse of I), A (absolute I), a (inverse of A), L (logarithm of A), l (logarithm of I)

2nd

Superposing operator of the molecular level:

  • Conditional group: m (smallest fragmental descriptor value from the array), M (highest), n (smallest absolute), N (highest absolute)
  • Averagegroup: S (sum of descriptor values), A (average mean for valid fragments), a (average mean for all fragments), B (average mean by atom), b (average mean by bond)
  • Geometricgroup: P (multiplication of descriptor values), G (geometric mean for valid fragments), g (geometric mean for all fragments), F (geometric mean by atom), f (geometric mean by bond)
  • Harmonic group: s (harmonic sum of values), H (harmonic mean for valid fragments), h (harmonic mean for all fragments), I (harmonic mean by atom), i (harmonic mean by bond)

3rd

Pair-based fragmentation criteria (Jäntschi et al. 2000; Diudea et al. 2001): m (minimal fragments criterion), M (maximal fragments criterion), D (Szeged distance based fragments criteria), P (Cluj path based fragments criteria)

4th

Interaction model: R (rare model and resultant relative to fragment’s head), r (rare model and resultant relative to conventional origin), M (medium model and resultant relative to fragment’s head), m (medium model and resultant relative to conventional origin), D (dense model and resultant relative to fragment’s head), d (dense model and resultant relative to conventional origin)

5th

Interaction descriptor: D (distance), d (inverse of distance), O (first atom’s property), o (inverse of  `O`), P (product of the atomic properties), p (inverse of `P`), Q (squared `P`), q (inverse of `Q`), J (product of first atom property and distance), j (inverse of `J`), K (product of atomic properties and distance), k (inverse of `K`), L (product of distance and squared atomic properties), l (inverse of `L`), V (first atom’s property potential), E (first atom’s property field), W (first atom property work), w (properties work), F (first atom’s property force), f (properties force), S (first atom’s property weak nuclear force), s (properties weak nuclear force), T (first atom’s property strong nuclear force), t (properties strong nuclear force)

6th

Atomic property: C (cardinality), H (count of directly bonded hydrogen’s), M (relative atomic mass), E (atomic electronegativity), G (group electronegativity), Q (partial charge)

7th

Distance operator: g (geometry), t (topology)

Step 4: It searches and identifies the most significant SAR models. The following criteria were used (Bolboacă and Jäntschi, 2007): the squared correlation coefficient (value closed to 1 indicates a good model), the standard error of estimated (value closed to 0 indicates a good model) and statistical parameters associated with the model (the Fisher parameter, which has a less than 5% probability of type I error, confidence intervals for the intercept and slope, standard error of intercept and slope, student parameter and its probability of type I error).

Step 5: The models were validated in order to characterize their estimated and predictive abilities. The leave-one-out cross-validation analysis (Baumann, 2003) was conducted (Leave-one-out Analysis, 2005). The obtained score (abbreviated as r2loo-cv), the standard error of predictive and the Fisher parameter were obtained and interpreted.

Step 6: The analysis of the models was performed by assessing the following: ▪ model stability (the model is considered more stable if the difference between the squared correlation coefficient and the cross-validation leave-one-out score is closer to 0) ▪ predictive ability of the model with the higher squared correlation coefficient was assessed in training and test experiments (Training vs. Test Experiment, 2005), ▪ comparison with previously reported models (where appropriate) through a correlated correlation analysis (Steiger, 1980). A difference between the squared correlation coefficient (r2) and the leave-one-out cross-validation score (r2loo-cv) lower than 0.3 indicates the absence of an over fitted model, irrelevant independent variables, and/or outliers (Bolboacă and Jäntschi, 2007). Moreover, in order to identify the outliers in the investigated compounds, the graphical representation methods were used (Bolboacă and Jäntschi, 2007).

Note that the MDF SAR approach uses a genetic algorithm for selection of descriptors from descriptor’s pool (Jäntschi et al. 2007).

Results

By integrating the complex knowledge extracted from the structure of the studied para-substituted phenols, two SAR models were identified, one with two and the other with four descriptors:

Ŷ2v = -2.261 + 0.037·ASMmVQt - 0.216·lfDdOQg                                                             [1]

Ŷ4v = -3.295 + 0.035·ASMmVQt - 0.326·lfDdOQg + 0.079·InMrLQg - 0.346·LsDMpQg     [2]

where: Ŷ2v = toxicity estimated by Eq(1); Ŷ4v = toxicity estimated by Eq(2); ASMmVQt, lfDdOQg, InMrLQg, and LsDMpQg = molecular descriptors.

The values of the experimental determinations (Toxexp), of the calculated descriptors and of the toxicity estimated by Eq(1) and Eq(2) are presented in Table 2.

Table 2. Experimental toxicity (Toxexp) of para-substituted phenols, the values of the molecular descriptors used, and the estimated toxicity.

PhNo.

Substituent

Toxexp

ASMmVQt

lfDdOQg

InMrLQg

LsDMpQg

Ŷ2v-Eq(1)

Ŷ4v-Eq(2)

1

 CONH2

-0.7802

5.8981

-6.7972

-7.2253

-1.9763

-0.5751

-0.7594

2

 NHCOCH3

-0.8189

10.749

-4.1048

0.8469

-2.1507

-0.9803

-0.7707

3

 CH2CH2OH

-0.8275

8.8351

-6.3911

0.4634

-0.1705

-0.5556

-0.8074

4

 CH2CN

-0.3840

5.3722

-9.5510

-4.9193

-1.2123

0.0014

0.0383

5

 OCH3

-0.1425

6.5051

-9.6749

-1.1651

0.1627

0.0696

-0.0613

6

 CHO

0.2661

10.505

-8.8226

-3.3549

-1.6029

0.0313

0.2380

7

 COCH3

-0.0932

12.744

-9.4022

-6.6088

-1.0333

0.2385

0.0505

8

 H

-0.4310

3.4445

-8.5607

-0.5243

0.2467

-0.2833

-0.5096

9

 COC2H5

0.0557

11.289

-7.4760

0.0779

-1.1726

-0.2313

-0.0517

10

 CN

0.5161

10.441

-10.203

-3.5618

-1.1069

0.3276

0.4979

11

 F

0.0169

5.9127

-10.684

-13.455

-1.5838

0.2662

-0.1193

12

 OC2H5

0.0130

6.6356

-10.153

-2.8067

-0.2047

0.1777

0.0966

13

 NO2

1.4257

42.349

-9.1012

-11.466

-3.1947

1.2550

1.3458

14

 CH3

-0.1920

5.2303

-9.8915

-1.2311

0.1551

0.0698

-0.0376

15

 Cl

0.5447

1.5458

-11.349

-1.0827

-0.6323

0.2505

0.5941

16

 C2H5

0.2058

7.3731

-10.845

-2.1408

-0.0230

0.3544

0.3377

17

 Br

0.6806

2.5962

-11.892

-0.2017

-0.0663

0.4063

0.6814

18

 I

0.8544

3.5436

-12.465

-0.1225

0.0118

0.5649

0.8804

19

 OC4H9

0.7016

9.8871

-11.919

-6.3394

-0.1820

0.6785

0.4986

20

 CH(CH3)2

0.4732

9.3579

-12.076

-3.3635

0.6969

0.6932

0.4623

21

 COC6H5

1.0237

8.4519

-13.467

-10.680

-1.5542

0.9610

1.0857

22

 C3H7

0.6350

9.4953

-11.501

-3.7447

-0.0624

0.5738

0.5123

23

 N=NC6H5

1.6547

17.488

-16.636

-7.9952

1.2302

1.9765

1.6816

24

 C6H5

1.3828

18.703

-13.846

-5.8290

-0.0576

1.4174

1.4308

25

 C(CH3)3

0.9126

11.508

-13.250

-6.9593

-0.3020

1.0256

0.9817

26

 OC6H5

1.3550

63.333

-5.8276

0.9003

-1.4657

1.3136

1.3860

27

 CH2CH(CH3)2

0.9797

13.905

-11.009

0.0942

0.2733

0.6285

0.6922

28

 c-C5H9

1.2916

16.560

-13.599

-4.3256

-0.2702

1.2857

1.4682

29

 CH2C6H5

1.1946

66.575

-5.5776

0.2146

-1.1809

1.3780

1.2644

30

 CH2C(CH3)3

1.2326

19.628

-10.686

0.1528

-0.2727

0.7677

0.9795

The values of the squared correlation coefficients between each descriptor and the experimental toxicity (Toxexp) as well as between pairs of descriptors were as follows:

SAR model with two descriptors - Eq(1):
    r2(ASMmVQt, Toxexp) = 0.2661
    r2(lfDdOQg, Toxexp) = 0.3599                                                                                     [3]
    r2(ASMmVQt, lfDdOQg) = 0.12152

SAR model with four descriptors - Eq(2):
    r2(ASMmVQt, Toxexp) = 0.2661; r2(lfDdOQg, Toxexp) = 0.3599
    r2(InMrLQg, Toxexp) = 0.4329; r2(LsDMpQg, Toxexp) = 0.0747
    r2(ASMmVQt, lfDdOQg) = 0.1215; r2(ASMmVQt, InMrLQg) = 0.0057                             [4]
    r2(ASMmVQt, LsDMpQg) = 0.1136; r2(lfDdOQg, InMrLQg) = 0.1769
    r2(lfDdOQg, LsDMpQg) = 0.3159; r2(InMrLQg, LsDMpQg) = 0.10368

The statistics associated with the models with two - Eq(1) - and four - Eq(2) molecular descriptors are presented in Table 3.

Table 3. Structure-Activity Relationships models: statistics.

 Characteristic (abbreviation)

SAR model

Eq(1)

Eq(2)

 Correlation coefficient (r)

0.9472

0.9868

 Squared correlation coefficient (r2)

0.8972

0.9737

 Adjusted squared correlation coefficient (r2adj)

0.8896

0.9695

 Standard error of estimated (sest)

0.2355

0.1238

 Fisher parameter of estimated (Fest)

118

231

 Type I error associated with the Fisher parameter of estimated (pest)

4.56·10-14

1.50·10-21

 Leave-one-out cross-validation score (r2loo-cv)

0.8745

0.9650

 Fisher parameter of predicted (Fpred)

93

172

 Fisher probability of predicted (ppred)

7.58·10-13

9.34 10-20

 Standard error of predict (sloo)

0.2613

0.1429

 Difference between squared correlation coefficient and leave-one-out cross-
 validation score (r2 - r2loo-cv)

0.0227

0.0086

The graphical representation of the relation among the estimated toxicity of para-substituted phenols on Tetrahymena Pyriformis by Eq(1), Eq(2), neural network (Ivanciuc, 1998) and experimental toxicity (Schultz, 1987b) is presented in Figure 1.

The statistics on the similarity of the activity estimated by Eq(1) (Ŷ2v-Eq(1)) and by Eq(2) (Ŷ4v-Eq(1)) as well as the experimental toxicity (Toxexp) of para-substituted phenols are presented in Table 4. In Table 4 the best estimation values, expressed as the lowest value of the difference between experimental and estimated toxicity, are shaded in gray.

Table 4. Classification of the distance between measured and estimated toxicity.

PhNo

|NN - Toxexp|

2v-Eq(1) - Toxexp|

4v-Eq(1) - Toxexp|

1

0.0102

0.2051

0.0208

2

0.0601

0.1605

0.0491

3

0.1516

0.2719

0.0201

4

0.5463

0.0398

0.0767

5

0.2317

0.2121

0.0812

6

0.0298

0.2348

0.0282

7

0.2428

0.3317

0.1437

8

0.2151

0.1477

0.0786

9

0.0368

0.2870

0.1074

10

0.1199

0.1885

0.0182

11

0.0106

0.2493

0.1362

12

0.0846

0.1647

0.0836

13

0.1800

0.1707

0.0799

14

0.2263

0.2618

0.1544

15

0.0936

0.2942

0.0494

16

0.1791

0.1486

0.1319

17

0.0976

0.2743

0.0008

18

0.3763

0.2895

0.0260

19

0.2478

0.0231

0.2030

20

0.2007

0.2200

0.0109

21

0.2786

0.0628

0.0620

22

0.2738

0.0612

0.1227

23

0.3402

0.3218

0.0269

24

0.1129

0.0346

0.0480

25

0.2046

0.1130

0.0691

26

0.2440

0.0414

0.0310

27

0.2911

0.3512

0.2875

28

0.0154

0.0059

0.1766

29

0.1049

0.1834

0.0698

30

0.0809

0.4649

0.2531

NN: values estimated using NN by (Ivanciuc, 1998); Toxexp: experimental values (Schultz, 1987a); Ŷ2v-Eq(1): values estimated by Eq(1); Ŷ4v-Eq(1): values estimated by Eq(2).

The validation results of the model with four descriptors in training versus test experiments (for the sample size that varied from 18 to 22 in training) are presented in Table 5.

Table 5. Training versus test sets: validation results.


SAR model

Training

Test

Intercept

ASMmVQt

lfDdOQg

InMrLQg

LsDMpQg

ntr

r2tr

Ftr (p)

nts

r2ts

Fts (p)

-3.432

0.035

-0.341

0.087

-0.379

18

0.968

98 (1.4·10-9)

12

0.980

74.92 (7.9·10-6)

-3.300

0.034

-0.329

0.082

-0.352

19

0.975

139 (4.3·10-11)

11

0.971

49.59 (9.9·10-5)

-3.253

0.035

-0.321

0.075

-0.326

20

0.972

132 (1.7·10-11)

10

0.974

43.28 (4.5·10-4)

-3.175

0.034

-0.310

0.065

-0.328

21

0.986

275 (1.6·10-14)

9

0.941

13.14 (1.4·10-2)

-3.206

0.034

-0.320

0.078

-0.314

22

0.954

89 (3.7·10-11)

8

0.994

114.7 (1.3·10-3)

   

 

0.971

μ

0.972

0.011

StdDev

0.019

ntr = number of compounds in training set; r2tr = squared correlation coefficient of training set; Ftr = Fisher parameter of training set; nts = number of compounds of test set; r2ts = squared correlation coefficient of test set; Fts = Fisher parameter of test set; μ = arithmetic mean; StdDev = standard deviation; p = type I error.

The comparison between the SAR model with four descriptors and the previously reported MLR (Multiple Linear Regression, (Ivanciuc, 1998)) and Neural Network (NN, (Ivanciuc, 1998)) models is presented in Table 6.

Table 6. SAR model compared with previously reported models (Ivanciuc, 1998).

Steiger Test

Model

Characteristic

NN

MLR

r(Toxexp. Ŷ4v-Eq(2))

0.9815

r(Toxexp. Ŷ (Ivanciuc, 1998)

0.9643

0.9551

r(Ŷ4v-Eq(4). Ŷ (Ivanciuc, 1998)

0.9379

0.9273

Z (Steiger test parameter)

1.6939

2.2781

pZ (type I error of Z parameter)

4.51·10-2

1.14·10-2

NN: neural network; MLR: Multiple Linear Regression.

Discussion

The integration of the structural information obtained from the para-substituted phenol compounds allows the estimation and prediction of toxicity on Tetrahymena pyriformis. Two models proved to have good estimated and predictive abilities (one model with two (Eq(1)) and the other with four descriptors (Eq(2)).

The analysis of the results presented in Table 2 reveals the influence of the substituent on the toxicity of para-substituted phenols. Thus, the phenyl group determined a higher toxicity of para-substituted phenols (between 1.01237 for 4-hydroxybenzophenone - compound no. 21, Table 2, and 1.6547 for 4- hydroxybenzene - compound no. 23, Table 2). A high toxicity is also determined by the nitro group, as in the case of the 4-nitrophenol (1.4257, Table 2).

Both SAR models were statistically significant, the significance level being lower than 0.0001 (Table 3). In toxicity modelling, three descriptors refer to molecular geometry (lfDdOQg, InMrLQg and LsDMpQg) and one refers to molecular topology (ASMmVQt). All descriptors consider the partial electric change as the atomic property (ASMmVQt, lfDdOQg, InMrLQg, LsDMpQg).

The values of the correlation coefficient obtained by the model with two descriptors (r = 0.9472, Table 3) sustain the role of these two descriptors in the estimation of toxicity. Almost ninety percent of the toxicity variation of the studied para-substituted phenols can be explained by its linear relationship with the ASMmVQt and the lfDdOQg descriptors. The prediction ability of the model with two variables is sustained by the results obtained in leave-one-out cross-validation analysis: leave-one-out cross-validation score (r2loo-cv = 0.8745, Table 3), standard error of predicted (sloo = 0.2613, Table 3), Fisher parameter and associated significance (ppred = 7.58·10-13, Table 3). The analysis of the model with two variables showed that molecular descriptors are not able to provide individually relevant models (Eq(3)). Note also that there is no collinearity between the descriptors used by the model with two descriptors (r2(ASMmVQt, lfDdOQg) = 0.12152). The model with two variables reveals that the toxicity of the studied para-substituted phenols on Tetrahymena pyriformis is of geometrical and topological nature and it is also dependent on partial electric changes.

Both descriptors used by the model with two descriptors are found again in the model with four descriptors (Eq(2)). Ninety-seven percent of toxicity variation of the para-substituted phenols could be explained by its linear relationship with the molecular descriptors used by this model. The value of the multiple correlation coefficient (r = 0.9868, Table 3) supports the estimated ability of the SAR model. The predictive ability of the model with four descriptors is supported by the following: the value of the leave-one-out cross-validation score (r2loo-cv = 0.9650, Table 3), the type I error of the Fisher parameter (ppred = 1.50·10-21, Table 3), the standard error of predicted (sloo = 0.1429, Table 3) and the stability of the model (r2 - r2loo-cv = 0.0086, Table 3). No significant correlation was identified neither between the descriptor and the experimental toxicity nor between the pairs of descriptors (Eq(4)). The toxicity of the para-substituted phenols on Tetrahymena pyriformis is of geometrical and topological nature. It is also dependent on the partial electric charge of the compounds.

The analysis of the results presented in Table 4 indicates that the best proximity of the estimated and experimental toxicity was obtained by the SAR model with four variable (on twenty-one out of thirty compounds the estimated value was in the proximity of the experimental value), followed by the model with two variables (five compounds out of thirty obtained the best proximity) and the neural network (Ivanciuc, 1998) (four compounds out of thirty obtained the best proximity).

The predictive ability of the model with four descriptors was studied on training and test sets. With one exception, all investigated sample sizes obtained statistically significant models at a significance level of 1% (Table 5). The exception was observed in the experiment with twenty-one compounds in the training set and nine compounds in the test set. For this model the type I error was of 1.4·10-2 and 1.6·10-14, respectively. The average of the squared correlation coefficient obtained in training sets was almost identical with the average of the squared correlation coefficient in the test sets (0.971 vs. 0.972, Table 5). The dispersion of the correlation coefficients in both sets was low (see Table 5). The above mentioned results support the validity of the SAR model with four descriptors as well as its power of predicting the toxicity of para-substituted phenols. The molecular descriptors of a new para-substituted phenol could be calculated using the online DC Demo Calculator (DC Demo Calculator, 2005). Therefore the 2D and 3D structure of the compound has to be constructed using the HyperCem software. As result, the calculate values of the molecular descriptors are displayed. Moreover, the 2D and 3D structure of a new para-substituted phenol could be used in order to predict its activity (MDF SAR Predictor, 2005). The following steps must be followed: ▪ selecting the name of learning set (RRC443_ for the para-substituted phenols set); ▪ selecting the predictor equation (the model with two or four molecular descriptors); and ▪ browsing and submitting the *.hin file of the new compound proposed for investigation. Consequently, the equation used for prediction, the calculated values of the molecular descriptors family on the structure-activity relationships for the new compound as well as the activity predicted by the model are displayed.

The comparison between the SAR model with four descriptors and the previously reported models (Ivanciuc, 1998) (Table 6) showed that the probability of coincidence between the SAR model and the MLR model is of 1.14·10-2, while that between the SAR model and the NN model is of 4.51·10-2. It can be concluded that the correlation coefficient obtained by the SAR model with four descriptors is significantly higher compared with the correlation coefficients obtained by the previously reported models (Ivanciuc, 1998).

Many approaches have been developed in order to translate the chemical information of a compound into a useful numerical value (Todeschini and Consonni, 2000). The radial basis functions (Hemmer et al. 1999), GATEWAY (Consonni et al. 2002), 3-MoRSE electron diffraction (Todeschini and Consonni, 2000) and other descriptors represent similar approaches. These approaches are useful for further investigations if their application leads to significant statistical models. The difference between models in terms of structure-activity relationships could then be investigated using the correlated correlation analysis (Steiger, 1980).

The above-mentioned results support the estimated and predictive abilities of the SAR model with four descriptors to characterize the toxicity of para-substituted phenols on Tetrahymena pyriformis. In conclusion, the toxicity of the studied para-substituted phenols on Tetrahymena pyriformis is of both geometrical and topological nature and depends on the partial electric charges of the compounds. Furthermore, the application of the SAR method in the modelling of the para-substituted phenols toxicity on Tetrahymena pyriformis could be the first step in discovering and characterizing new compounds. Such further investigations could lead to the discovery of compounds with higher activity at lower costs.

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