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    International Journal of PharmTech ResearchCODEN (USA): IJPRIF ISSN : 0974-4304Vol.4, No.4, pp 1691-1702, Oct-Dec 2012

    3D QSAR Analysis on Arylbenzofuran derivatives asHistamine H3 Receptor Inhibitors using k Nearest

    Neighbor Molecular Field Analysis (KNNMFA)

    Sanmati K. Jain* and Sudip Nag

    *SLT Institute of Pharmaceutical Sciences, Guru Ghasidas Vishwavidyalaya

    (Central University), Bilaspur (Chhattisgarh)-495009, India.

    *Corres. author: sanmat i jain72@yahoo .co. inPho ne No . 07752-260027, Mob: +919827088484

    Abstract: Three dimensional quantitative structure activity relationship (3D QSAR) analysis using knearest neighbor molecular field analysis (kNN MFA) method was performed on a series of arylbenzofuran

    derivatives as histamine h3 receptor inhibitors using molecular design suite (VLifeMDS). This study was

    performed with 58 compounds (data set) using sphere exclusion (SE) algorithm and random selection

    method for the division of the data set into training and test set. kNN-MFA methodology with step wisevariable selection forward-backward, Simulated Annealing and Genetic Algorithms methods were used for

    building the QSAR models. Two predictive models were generated with SW-kNN MFA. The most

    predictive model was generated by kNN (stepwise forward backward) using sphere exclusion data selection

    method. This model explains good internal (q2

    = 0.5445) as well as very good external (Predr2

    = 0.9013)

    predictive power of the model. The steric descriptors at the grid points, S_2307 and S_2377 plays important

    role in imparting activity. This model indicates that two steric descriptors are involved. The kNN-MFA

    contour plots provided further understanding of the relationship between structural features of substituted

    arylbenzofuran derivatives and their activities which should be applicable to design newer potential

    H3 receptor inhibitors.

    Keywords: 3D-QSAR, kNN-MFA, h3 receptor inhibitors, arylbenzofuran derivatives.

    INTRODUCTION

    Histamine is a biogenic amine that influences a

    wide range of pathophysiological processes. At

    present, four subtypes of histamine G protein-

    coupled receptors (GPCRs) are known. H1 and H2receptors are concerned in allergic responses and

    gastric acid secretion, respectively. The most

    recently discovered H4 receptor is mainly located

    on mast cells, eosinophils and lymphoid tissues

    and seems to be involved in inflammatory

    processes (1).

    The histamine H3 receptor was identified in 1983

    and was initially described as an autoreceptor,

    mainly expressed in the central nervous system

    (CNS), regulating histamine biosynthesis and

    release from histaminergic neurons (2). Histamine

    H3 receptors are expressed in the central nervous

    system and to a lesser extent the peripheral

    nervous system, where they act as autoreceptors in

    presynaptic histaminergic neurons, and also

    control histamine turnover by feedback inhibition

    of histamine synthesis and release (3).

    Subsequently, H3 receptors have also been shown

    to act as heteroreceptors on non-histaminergic

    neurons, where they inhibit the release of other

    neurotransmitters such as acetylcholine, dopamine,

    norepinephrine, serotonin and various

    neuropeptides (4-9).The high density of H3 receptors in different CNS

    areas and their influence on the release of a large

    variety of neurotransmitters encouraged wide

    pharmacological investigation on their

    physiological role and the quest for potential

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    therapeutic applications of H3-antagonists in the

    treatment of various CNS diseases. Among them,

    the most promising ones include attention-deficit

    hyperactivity disorders (ADHD), Alzheimersdisease, epilepsy, schizophrenia, obesity and

    eating disorders (10-19).Since the discovery of the reference antagonist

    thioperamide (20), many classes of potent and

    selective H3-antagonists have been reported. The

    earliest generation of H3-antagonists was derived

    from the endogenous neurotransmitter histamine

    and the compounds contained an imidazole ring in

    their structures (21,22).

    The imidazole-based H3 antagonists such as

    ciproxifan, thioperamide are useful tools and

    reference standards for pharmacological research,

    but they have two drawbacks, which includes:

    i) Imidazole-based analogues have poor CNS

    penetration (23,24) while low CNS penetration

    may be a desirable property in a drug targeted

    to the treatment of peripheral diseases.

    ii) Inhibit cytochrome-P450 (CYP) drug

    metabolizing enzymes, leading to drug-drug

    interactions by inhibiting the metabolism of

    co-administered drugs (25-29).

    iii) Additionally, drugs that inhibit CYP enzymes

    have the potential to alter the endogenous

    metabolism of important circulating

    hormones.For this reason non-imidazoles have been targeted

    as potential drug candidates, and several distinct

    classes of non-imidazole H3 antagonists (30-36)

    have been produced. The increasing interest in the

    therapeutic potential of H3 antagonists are driving

    current medicinal chemistry efforts to identify

    potent, selective, therapeutically efficacious and

    safe agents for clinical development.

    QSAR analysis is done by using the softwareQSARPlus, a product of VLIfe SciencesTechonologies Pvt. Ltd. Pune (37). The

    Quantitative Structure Activity Relationship(QSAR) paradigm is based on the assumption thatthere is an underlying relationship between themolecular structure and biological activity. On thisassumption QSAR attempts to establish acorrelation between various molecular propertiesof a set of molecules with their experimentallyknown biological activity.There are two main objectives for the development

    of QSAR:

    1) Development of predictive and robust QSAR,

    with a specified chemical domain, for

    prediction of activity of untested molecules.2) It acts as an informative tool by extracting

    significant patterns in descriptors related to the

    measured biological activity leading to

    understanding of mechanisms of given

    biological activity. This could help in

    suggesting design of novel molecules with

    improved activity profile.

    Arylbenzofuran, nucleus containing drugs are one

    of the most important H3-receptor antagonist,

    which are non-imidazole containing drugs. In the

    present QSAR study a series of arylbenzofuran

    analogues were selected, they differ in

    substituents the phenyl ring, and benzofurannucleus. Binding affinities (Ki) of substituted

    arylbenzofurans at rat cortical H3-receptors and

    cloned human H3-receptors are reported, values

    reported are in nanomolar units. The research is

    going on this class of selective inhibitors of

    Histamine H3-receptor, where some novel agents

    has to be explored which will having good potency

    to selectively inhibits the histamine H3-receptor, as

    well as very less side effects and toxicity.

    EXPERIMENTAL

    The Work Station: Workstations are raster

    systems in which a computer with a full operating

    system and mass storage facility is integrated with

    graphical display. All the computational methods

    were performed on HCL PC using QSARPlus

    version 1.0.

    Data sets: In the present study 58 molecules ofarylbenzofuran derivatives were used which were

    reported to have Histamine H3-receptor antagonist

    activity (38). The activity data hH3 binding

    affinity (M), determined by using human and rat

    histamine H3-receptor, activity data hH3 have

    been converted to the logarithmic scale pKi

    (moles) and then used for subsequent QSAR

    analysis as the response variables. pKi data saved

    as.txt.file. The various substituents of allcompounds along with their actual biological

    activities are shown in Table 1.

    Methodology: Structure of the molecule drawn in

    the 2DDrawapp option in Tool menu of

    QSARPlus. Then 2D structures where exported to

    QSARPlus window (2D structure converted to 3D

    structure). After the conversion, structures are

    saved as .mol2 file in QSARPlus 3D window.

    Energy minimization is done by using Merck

    molecular force field (MMFF) method which

    results in the optimization of the geometry of themolecule using the following criteria.

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    Force fieldMMFFChargeMMFFMax. no. of cycles10,000Convergence criteria (rms gradients)0.01

    Dielectric properties

    *Distance dependent function

    *Constant1.0*Gradient type analysis1.0

    Non-bonded cut off: Electro static20.00; VdW10.00.

    Models were generated by k-NN-MFA in

    conjunction with stepwise (SW) forward-

    backward [Cross correlation0.5; Term selection q2; Variance cut off 0.0; No. of Max.

    Neighbours 5; No. of Min. Neighbours 2;Select prediction method Distance basedweighted average], Simulated Annealing

    [Maximum temperature-100.0; Minimum

    temperature-0.01; Decrease temperature by-10.0;

    Iteration at given temperature-5; Terms in model-

    4; Pertubation limit-5; Cross correlation limit-1.0;

    Term selection criteria-q2; Seed-0; Scaling-

    Autoscaling; No. of Max. Neighbours 5; No. ofMin. Neighbours 2; Select prediction method Distance based weighted average] and Genetic

    Algorithms [Cross correlation limit-1.0; Cross

    over probability-0.9; Mutation probability-0.1;

    Population-10; Number of generations-1000; Print

    after iterations-100; Convergence ending criteria-

    0; Chromosome length-3; Seed-0; Term selection

    criteria-q2; Scaling-Autoscaling; No. of Max.Neighbours 5; No. of Min. Neighbours 2;Select prediction method Distance basedweighted average] variable selection methods.

    VLife Molecular Design Suite38

    (VLifeMDS),

    allows user to choose probe, grid size, and grid

    interval for the generation of descriptors. The

    variable selection methods along with the

    corresponding parameters are allowed to be

    chosen, and optimum models are generated by

    maximizing q2. k-nearest neighbor molecular field

    analysis (kNN-MFA) requires suitable alignment

    of given set of molecules. This is followed bygeneration of a common rectangular grid around

    the molecules. The steric, hydrophobic and

    electrostatic interaction energies are computed at

    the lattice points of the grid using a methyl probe

    of charge +1. These interaction energy values are

    considered for relationship generation and utilized

    as descriptors to decide nearness between

    molecules. The term descriptor is utilized in the

    following discussion to indicate field values at the

    lattice points. The optimal training and test sets

    were generated using the random selection

    method. This algorithm allows the construction oftraining sets covering descriptor space occupied by

    representative points. Once the training and test

    sets were generated, kNN methodology was

    applied to the descriptors generated over the grid.

    Molecular Allignment: In 3D QSAR first the

    alignment of the optimized molecules is done by

    using Template based alignment method.

    Model development: The activity data were

    subjected to k-nearest neighbor molecular field

    analysis method for model building.

    Data selection: Biological activity taken as

    dependent variable and descriptors as independent

    variable. Following methods were used for

    creation of training and test set.

    Random selection method

    Sphere Exclusion method

    Random selection: In order to construct and

    validate the QSAR models, both internally andexternally, the data sets were divided into training

    85%-75% (85%, 80% and 75%) of total data set

    and test sets 15%-25% (15%, 20% and 25%) of

    total data set in a random manner. 05 trials were

    run in each case.

    Sphere Exclusion method: In this method initially

    data set were divided into training and test set

    using sphere exclusion method. In this method

    dissimilarity value provides an idea to handle

    training and test set size. It needs to be adjusted by

    trial and error until a desired division of trainingand test set is achieved. Increase in dissimilarity

    value results in increase in number of molecules in

    the test set.

    After the creation of training and test set, Min and

    Max value of the test and training set is checked,

    using the QSAR tool, if the values are not

    following the Min Max, then the training / testset is again set and procedure is repeated. If the

    Min Max is following, then the k nearestneighbor molecular field analysis method was

    used for model building.

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    Table 1: General structure of the compounds of Arylbenzofuran derivatives and their biological

    activities (data set of 58 molecules)

    ON

    R1

    R

    S.

    No.

    Compound Benzofuran substituent

    (R)

    Phenyl Substituent

    (R1)

    hH3(nM) log (1/

    hH3)

    1 2 H 4-CN 0.45 9.347

    2 4a H 3-CN 0.27 9.569

    3 4b H 4-F 3.2 8.495

    4 4c H 3-F 2.2 8.658

    5 4d H 4-Cl 6.3 8.201

    6 4e H 3-Cl 5.0 8.3017 4f H 2-Cl 5.3 8.276

    8 4g H 4-CF3 5.7 8.244

    9 4h H 3-CF3 3.9 8.409

    10 4i H 4-Me 7.9 8.102

    11 4j H 3-Me 2.7 8.569

    12 4k H 2-Me 4.1 8.387

    13 4l H 4-OCF3 7.6 8.119

    14 4m H 3-OCF3 11 7.959

    15 4n H 4-OMe 9.1 8.041

    16 4o H 3-OMe 1.2 8.921

    17 4p H 2-OMe 15 7.824

    18 4q H 3-Cl,4-Cl 3.6 8.44419 4r H 3-Cl,5-Cl 5.0 8.301

    20 4s H 3-Me,4-Me 5.9 8.229

    21 4t H 3-Me,5-Me 3.6 8.444

    22 4u H 4-COOMe 1.9 8.721

    23 4v H 3-C(O)Me 0.084 10.076

    24 4w H 4-CH2OH 0.88 9.056

    25 4x H 3-CH2OH 0.49 9.310

    26 8a H 4-Br 7.7 8.114

    27 8b H 4-CN,2-Me 2.0 8.699

    28 8c H 4-CN,3-Me 0.28 9.553

    29 8d H 4-CN,3-F 0.64 9.194

    30 8e 7-F 4-CN 0.43 9.36731 8f 7-Me 4-CN 1.1 8.959

    32 8g 6-Me 4-CN 0.77 9.114

    33 9 H 3-CH(OH)Me 0.44 9.357

    34 10 H 3-C(OH)Me2 0.25 9.602

    35 11 H 3-COOH 15 7.824

    36 12 H 3-C(O)N(Me)OMe 0.62 9.208

    37 13a H 3-C(O)Et 0.23 9.638

    38 13b H 3-C(O)CH2CHMe2 0.68 9.168

    39 13c H 3-C(O)-(3-F)C6H4 2.6 8.585

    40 13d H 3-CHO 0.40 9.398

    41 14a H 3-C(=NOH)Me 0.49 9.310

    42 14b H 3-(=NOMe)Me 0.42 9.37743 14c H 3-C(=NOEt)Me 3.2 8.495

    44 14d H 3-C(=NO-t-Bu)Me 4.3 8.367

    45 15a H 4-C(O)-c-Pr 0.26 9.585

    46 15b H 3-C(O)-c-Pr 0.21 9.678

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    47 16 3-I 4-CN 0.51 9.292

    48 17a 3-Cl 4-CN 0.39 9.409

    49 17b 3-Cl,6-Cl 4-CN 0.83 9.081

    50 18a 3-Br 4-CN 0.29 9.538

    51 18b 3-Br 4-CN, 3-Me 1.3 8.886

    52 19a 3-Ph 4-CN 21 7.67853 19b 3-(3,5-DiMeC6H3) 4-CN 60 7.222

    54 19c 3-(3-Pyridyl) 4-CN 13 7.886

    55 19d 3-(2-Furyl) 4-CN 2.8 8.553

    56 19e 3-(3-Thienyl) 4-CN 2.1 8.678

    57 19f 3-(3(2CHO)thienyl) 4-CN 0.73 9.137

    58 20 3-(3(2CH2OH)thienyl) 4-CN 1.9 8.721

    Total data set of 58 molecules was used for the present study.

    Figure 1: Training and test set data fitness plot for Model-1 (trial-1)

    RESULTS AND DISCUSSION

    Following statistical parameters were used to

    correlate biological activity and molecular

    descriptors: n = number of molecules, Vn =

    number of descriptors, k = number of nearest

    neighbor, df = degree of freedom, r2= coefficient

    of determination, q2 = cross validated r2 (by the

    leave-one out method), pred_ r2 = r2 for externaltest set, pred_ r2se = coefficient of correlation of

    predicted data set. Selecting training and test set

    by random selection method, the Unicolumn

    statics was performed which is shown in Table 2.

    The unicolumn statistical analysis can be

    interpreted that the mean and standard deviation

    for the training and test sets provide insight into

    the relative difference in the mean and point

    density distribution of the two sets. The minimum

    and maximum values in both the training and test

    sets are compared such that the maximum of the

    test set should be less than that of the training set.

    The minimum of the test set should be greater than

    that of the training set, suggesting the interpolative

    behavior of the test set (i.e., derived within the

    minimummaximum range of the training set)which is prerequisite analysis for further QSAR

    study.

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    Data fitness plot for training and test set is shown

    in Figure 1. kNN-MFA plot is shown in Figure 2

    and 3D alignment of the molecules is shown in

    Figure 3. Results of 3D-QSAR kNN-MFA

    analysis using sphere exclusion and random data

    selection methods are shown in Table-2 andTable 4-6 respectively. Result of the most

    predictive model generated by kNN (Trial-1,

    stepwise forward backward) method using sphere

    exclusion data selection method is as follows:

    kNN MethodTraining Set Size = 53

    Test Set Size = 5

    Selected Descriptors:S_2307

    S_2377

    Statistics:

    k Nearest Neighbour= 2

    n = 53

    Degree of freedom = 50

    q2 = 0.5445

    q2_se = 0.4220

    Predr2 = 0.9013

    pred_r2se = 0.1955

    Descriptor Range:S_2307 -0.007384 -0.007189

    S_2377 -0.00308 -0.002385

    This model explains internal (q2

    = 0.5445) as well

    as very good external (Predr2

    = 0.9013) predictive

    power of the model. The steric descriptors at the

    grid points S_2307 and S_2377 plays important

    role in imparting biological activity. This model

    indicates that two steric descriptors are involved

    suggesting that activity is dominated by steric

    interactions. kNN-MFA result plot in which 3D-

    alignment of molecules with the important steric

    points contributing with model with ranges of

    values shown in parenthesis represented in Figure-

    2.

    Finally, it is hoped that the work presented here

    will play an important role in understanding the

    relationship of physiochemical parameters with

    structure and biological activity. By studying the

    QSAR model one can select the suitable

    substituent for active compound with maximum

    potency.

    Figure 2: kNN-MFA stepwise forward backwards result plot: 3D-alignment of molecules with the

    important steric points contributing with model with ranges of values shown in parenthesis.

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    Table 2: Results of 3D-QSAR analysis using kNN method (sphere exclusion)

    kNN resultTRIA

    L

    DISSIMILARI

    TY VALUE*

    TEST SET

    Stepwise forward-

    backward

    Simulated Annealing Genetic Algorithms

    1 6.50 4f,4q,8a,4t,4l k Nearest

    Neighbour= 2n = 53

    Degree of freedom =

    50

    q2 = 0.5445

    q2_se = 0.4220Predr2 = 0.9013

    pred_r2se = 0.1955

    k Nearest

    Neighbour= 4n = 53

    Degree of freedom =

    48

    q2 = 0.0894

    q2_se = 0.5967Predr2 = -0.0971

    pred_r2se = 0.6520

    k Nearest Neighbour=

    4n = 53

    Degree of freedom =

    49

    q2 = 0.0816

    q2_se = 0.5993Predr2 = 0.4961

    pred_r2se = 0.4419

    2 7.00 4f,4q,8a,18b,4t,4x,4l

    k Nearest

    Neighbour= 2

    n = 51Degree of freedom =

    47q2 = 0.5601

    q2_se = 0.4203

    Predr2 = 0.4191pred_r2se = 0.4119

    k Nearest

    Neighbour= 3

    n = 51Degree of freedom =

    46q2 = 0.1898

    q2_se = 0.5704

    Predr2 = 0.3218pred_r2se = 0.4451

    k Nearest Neighbour=

    4

    n = 51Degree of freedom =

    47q2 = 0.0627

    q2_se = 0.6135

    Predr2 = 0.5667pred_r2se = 0.3558

    3 8.00 4d,4f,4o,4q,8a,4t,4x,4g,8c

    k Nearest

    Neighbour= 2

    n = 49

    Degree of freedom =

    47q2 = 0.3541

    q2_se = 0.5096

    Predr2 = -0.3366pred_r2se = 0.6471

    k Nearest

    Neighbour= 4

    n = 49

    Degree of freedom =

    44q2 = 0.3644

    q2_se = 0.5055

    Predr2 = 0.4201pred_r2se = 0.4262

    k Nearest Neighbour=

    5

    n = 49

    Degree of freedom =

    45q2 = 0.0799

    q2_se = 0.6083

    Predr2 = 0.1339pred_r2se = 0.5209

    4 8.50 4e,4d,4o,8a,4n,8f,4x,4g,8d,8c,4t,19a

    k Nearest

    Neighbour= 2

    n = 46

    Degree of freedom =

    43q2 = 0.4779

    q2_se = 0.4496

    Predr2 = 0.1840

    pred_r2se = 0.5766

    k Nearest

    Neighbour= 2

    n = 46

    Degree of freedom =

    41q2 = 0.1198

    q2_se = 0.5837

    Predr2 = -0.1785

    pred_r2se = 0.6929

    k Nearest Neighbour=

    3

    n = 46

    Degree of freedom =

    42q2 = 0.1329

    q2_se = 0.5794

    Predr2 = 0.3848

    pred_r2se = 0.5006

    5 9.00 4e,4d,4o,8a,18a,4n

    ,8f,16,4x,4m,8d,8c,8g,4t,4c,2,41,19c

    k Nearest

    Neighbour= 2n = 40Degree of freedom =

    37

    q2 = 0.4292

    q2_se = 0.4808

    Predr2 = 0.0211

    pred_r2se = 0.5876

    k Nearest

    Neighbour= 4n = 40Degree of freedom =

    35

    q2 = 0.1759

    q2_se = 0.5777

    Predr2 = -0.3135

    pred_r2se = 0.6806

    k Nearest Neighbour=

    5n = 40Degree of freedom =

    36

    q2 = 0.0383

    q2_se = 0.6241

    Predr2 = 0.2357

    pred_r2se = 0.5192

    *Sphere exclusion data selection method was used in this study

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    Table 3: Min-Max table for model (Trial-1, stepwise forward backward)

    Table 4: Results of 3D-QSAR analysis using Random selection method (85%)

    kNN resultTRIA

    L

    TEST SET

    Stepwise forward-

    backward

    Simulated Annealing Genetic Algorithms

    1 14c,17a,4l,4q,4r,4w,8b,8g,9

    k Nearest Neighbour= 2n = 49

    Degree of freedom = 44

    q2 = 0.6321

    q2_se = 0.3913Predr2 = 0.4170

    pred_r2se = 0.3606

    k Nearest Neighbour= 5n = 49

    Degree of freedom = 44

    q2 = 0.1560

    q2_se = 0.5926Predr2 = 0.5958

    pred_r2se = 0.3002

    k Nearest Neighbour= 4n = 49

    Degree of freedom = 45

    q2 = -0.1168

    q2_se = 0.6817Predr2 = -0.5758

    pred_r2se = 0.5928

    2 13a,13d,14a,19a,19d,4r,8a,8e,9

    k Nearest Neighbour= 2n = 49

    Degree of freedom = 45

    q2 = 0.4442

    q2_se = 0.4529Predr2 = -0.3759

    pred_r2se = 0.8353

    k Nearest Neighbour= 5n = 49

    Degree of freedom = 44

    q2 = 0.0829

    q2_se = 0.5818Predr2 = 0.0176

    pred_r2se = 0.7058

    k Nearest Neighbour= 5n = 49

    Degree of freedom = 45

    q2 = -0.1484

    q2_se = 0.6510Predr2 = 0.2088

    pred_r2se = 0.6334

    3 13d,14c,19d,4d,4j,4

    m,4p,4r,9

    k Nearest Neighbour= 2

    n = 49

    Degree of freedom = 43q2 = 0.7018q2_se = 0.3404

    Predr2 = -0.2799pred_r2se = 0.7189

    k Nearest Neighbour= 5

    n = 49

    Degree of freedom = 44q2 = 0.1911

    q2_se = 0.5606

    Predr2 = 0.1789pred_r2se = 0.5758

    k Nearest Neighbour= 5

    n = 49

    Degree of freedom = 45q2 = -0.0692

    q2_se = 0.6446

    Predr2 = 0.0974pred_r2se = 0.6037

    4 12,14d,18a,4c,4g,4i,

    4o,4t,9

    k Nearest Neighbour= 4

    n = 49

    Degree of freedom = 44

    q2 = 0.4627

    q2_se = 0.4685

    Predr2 = -0.6210pred_r2se = 0.6606

    k Nearest Neighbour= 5

    n = 49

    Degree of freedom = 44

    q2 = 0.0950

    q2_se = 0.6080

    Predr2 = -0.8115pred_r2se = 0.6983

    k Nearest Neighbour= 5

    n = 49

    Degree of freedom = 45

    q2 = -0.1504

    q2_se = 0.6855

    Predr2 = 0.4306pred_r2se = 0.3915

    5 15b,17a,18a,19d,4d,4q,8c,8e,9

    k Nearest Neighbour= 4n = 49

    Degree of freedom = 44

    q2 = 0.4752

    q2_se = 0.4429Predr2 = -0.6089

    pred_r2se = 0.9035

    k Nearest Neighbour= 3n = 49

    Degree of freedom = 44

    q2 = 0.0775

    q2_se = 0.5872Predr2 = 0.3282

    pred_r2se = 0.5839

    k Nearest Neighbour= 5n = 49

    Degree of freedom = 45

    q2 = -0.0979

    q2_se = 0.6406Predr2 = -0.0840

    pred_r2se = 0.7416

    Column

    Name

    Average Max Min StdDev Sum

    Training set 8.8166 10.0760 7.2220 0.6253 467.2790

    Test set 8.2794 8.4440 8.1140 0.1638 41.3970

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    Table 5: Results of 3D-QSAR analysis using Random selection method (80%)

    kNN resultTRIA

    L

    TEST SET

    Stepwise forward-

    backward

    Simulated Annealing Genetic Algorithms

    1 12,14a,14d,17a,19a,19f,4f,4j,4k,4r,8d,9

    k Nearest Neighbour= 4n = 46

    Degree of freedom = 44

    q2 = 0.2104

    q2_se = 0.5651

    Predr2 = -0.6242

    pred_r2se = 0.7247

    k Nearest Neighbour= 5n = 46

    Degree of freedom = 41

    q2 = 0.1169

    q2_se = 0.5977

    Predr2 = -0.6818

    pred_r2se = 0.7374

    k Nearest Neighbour= 5n = 46

    Degree of freedom = 42

    q2 = -0.1244

    q2_se = 0.6744

    Predr2 = 0.2526

    pred_r2se = 0.4916

    2 14c,17a,19e,4g,4l,4q,4

    r,4w,8b,8e,8g,9

    k Nearest Neighbour= 4

    n = 46

    Degree of freedom = 44

    q2 = 0.2400

    q2_se = 0.5714

    Predr2 = -0.2694

    pred_r2se = 0.5290

    k Nearest Neighbour= 3

    n = 46

    Degree of freedom = 41

    q2 = 0.0198

    q2_se = 0.6489

    Predr2 = 0.3838

    pred_r2se = 0.3686

    k Nearest Neighbour= 4

    n = 46

    Degree of freedom = 42

    q2 = -0.1119

    q2_se = 0.6911

    Predr2 = -0.8464

    pred_r2se = 0.6380

    3 12,13a,13d,14a,19a,19

    d,4r,4x,8a,8c,8e,9

    k Nearest Neighbour= 2

    n = 46

    Degree of freedom = 42q2 = 0.4480

    q2_se = 0.4498

    Predr2 = -0.0926

    pred_r2se = 0.7353

    k Nearest Neighbour= 3

    n = 46

    Degree of freedom = 41q2 = 0.0990

    q2_se = 0.5746

    Predr2 = -0.2460

    pred_r2se = 0.7852

    k Nearest Neighbour= 5

    n = 46

    Degree of freedom = 42q2 = -0.1782

    q2_se = 0.6571

    Predr2 = 0.2237

    pred_r2se = 0.6198

    4 12,14d,18a,19c,4c,4g,

    4i,4o,4r,4s,4t,9

    k Nearest Neighbour= 5

    n = 46

    Degree of freedom = 40

    q2 = 0.6547

    q2_se = 0.3739Predr2 = -0.9512pred_r2se = 0.8038

    k Nearest Neighbour= 5

    n = 46

    Degree of freedom = 41

    q2 = 0.0646

    q2_se = 0.6155Predr2 = 0.2371pred_r2se = 0.5026

    k Nearest Neighbour= 5

    n = 46

    Degree of freedom = 42

    q2 = -0.1603

    q2_se = 0.6855Predr2 = 0.2633pred_r2se = 0.4939

    5 10,14b,17a,18b,4c,4d,

    4m,4o,4t,4x,8d,9

    k Nearest Neighbour= 2

    n = 46

    Degree of freedom = 40

    q2 = 0.5952

    q2_se = 0.4051

    Predr2 = -0.9659pred_r2se = 0.8057

    k Nearest Neighbour= 5

    n = 46

    Degree of freedom = 41

    q2 = 0.1104

    q2_se = 0.6006

    Predr2 = -0.0129pred_r2se = 0.5783

    k Nearest Neighbour= 4

    n = 46

    Degree of freedom = 42

    q2 = -0.1540

    q2_se = 0.6840

    Predr2 = 0.1696pred_r2se = 0.5236

    Figure 3: 3D-alignment of molecules.

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    Table 6: Results of 3D-QSAR analysis using Random selection method (75%)

    kNN resultTRIA

    L

    TEST SET

    Stepwise forward-

    backward

    Simulated Annealing Genetic Algorithms

    1 14c,17a,19e,4g,4i,4j,4l,4

    q,4r,4s,4w,8b,8e,8g,9

    k Nearest Neighbour= 4

    n = 43Degree of freedom = 41

    q2 = 0.2249

    q2_se = 0.5844

    Predr2 = -0.0006pred_r2se = 0.4862

    k Nearest Neighbour= 5

    n = 43Degree of freedom = 38

    q2 = 0.0497

    q2_se = 0.6471

    Predr2 = -0.4015pred_r2se = 0.5755

    k Nearest Neighbour= 5

    n = 43Degree of freedom = 39

    q2 = -0.1349

    q2_se = 0.7072

    Predr2 = -0.6110pred_r2se = 0.6170

    2 12,14d,17b,18a,18b,19c,4c,4g,4i,4o,4r,4s,4t,8e,9

    k Nearest Neighbour= 2n = 43

    Degree of freedom = 37

    q2 = 0.6428

    q2_se = 0.3893

    Predr2 = -0.9495

    pred_r2se = 0.7431

    k Nearest Neighbour= 2n = 43

    Degree of freedom = 38

    q2 = 0.0871q2_se = 0.6224

    Predr2 = -0.7086

    pred_r2se = 0.6957

    k Nearest Neighbour= 5n = 43

    Degree of freedom = 39

    q2 = -0.1350q2_se = 0.6940

    Predr2 = -0.1094

    pred_r2se = 0.5605

    3 10,14b,15a,17a,18b,4c,4

    d,4m,4o,4t,4x,8a,8d,8f,9

    k Nearest Neighbour= 2

    n = 43

    Degree of freedom = 39q2 = 0.4426

    q2_se = 0.4760

    Predr2 = 0.0867

    pred_r2se = 0.5637

    k Nearest Neighbour= 3

    n = 43

    Degree of freedom = 38q2 = 0.1768

    q2_se = 0.5784

    Predr2 = 0.0557

    pred_r2se = 0.5732

    k Nearest Neighbour= 5

    n = 43

    Degree of freedom = 39q2 = -0.2046

    q2_se = 0.6997

    Predr2 = 0.0663

    pred_r2se = 0.5700

    4 10,13d,14a,14b,14d,19c,

    20,4c,4d,4k,4q,4w,8b,8d,9

    k Nearest Neighbour= 2

    n = 43Degree of freedom = 38

    q2 = 0.6145

    q2_se = 0.4046Predr2 = -0.8133

    pred_r2se = 0.7161

    k Nearest Neighbour= 4

    n = 43Degree of freedom = 38

    q2 = 0.1529

    q2_se = 0.5998Predr2 = -0.4238

    pred_r2se = 0.6345

    k Nearest Neighbour= 5

    n = 43Degree of freedom = 39

    q2 = -0.1799

    q2_se = 0.7079Predr2 = 0.1903

    pred_r2se = 0.4785

    5 11,13c,15a,17a,18b,19a,

    19d,19e,4b,4d,4f,4j,4n,8

    c,9

    k Nearest Neighbour= 2

    n = 43

    Degree of freedom = 40

    q2 = 0.5015q2_se = 0.4390

    Predr2 = -0.5217

    pred_r2se = 0.7820

    k Nearest Neighbour= 5

    n = 43

    Degree of freedom = 38

    q2 = 0.0915q2_se = 0.5927

    Predr2 = -0.1297

    pred_r2se = 0.6738

    k Nearest Neighbour= 5

    n = 43

    Degree of freedom = 39

    q2 = -0.0324q2_se = 0.6318

    Predr2 = 0.3867

    pred_r2se = 0.4965

    CONCLUSION

    Three dimensional quantitative structure activityrelationship (3D QSAR) analysis using k nearest

    neighbor molecular field analysis (kNN MFA)

    method was performed on a series of

    arylbenzofuran derivatives as histamine

    h3 receptor inhibitors using molecular design suite

    (VLifeMDS). This study was performed with 58

    compounds (data set) using sphere exclusion (SE)

    algorithm and random selection method for the

    division of the data set into training and test set.

    kNN-MFA methodology with step wise variable

    selection forward-backward, Simulated Annealing

    and Genetic Algorithms methods were used forbuilding the QSAR models. Two predictive

    models were generated with SW-kNN MFA. The

    most predictive model was generated by kNN

    (stepwise forward backward) using sphere

    exclusion data selection method. This model

    explains good internal (q2

    = 0.5445) as well as

    very good external (Predr2 = 0.9013) predictive

    power of the model. The steric descriptors at the

    grid points, S_2307 and S_2377 plays important

    role in imparting activity. This model indicates

    that two steric descriptors are involved. The kNN-

    MFA contour plots provided further understanding

    of the relationship between structural features of

    substituted arylbenzofuran derivatives and their

    activities which should be applicable to design

    newer potential H3 receptor inhibitors.

    ACKNOWLEDGEMENTThe authors would like to thanks Head, SLT

    Institute of Pharmaceutical sciences, Guru

    Ghasidas University, Bilaspur (CG) for providing

    the necessary facilities.

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