Quantum Chemical Studies of Anti-Prostatic Carcinoma Drug N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl] Propanamide (bicalutamide).

 

 I.E. Otuokere  and F J Amaku

Department of Chemistry, Michael Okpara University of Agriculture, Umudike, Nigeria

*Corresponding Author E-mail:

 

ABSTRACT:

N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide (bicalutamide) is an oral medication that is used for treating cancer of the prostate. It belongs to a class of drugs called anti- androgens. Quantum chemical studies of bicalutamide were based on Arguslab software. The steric energy was evaluated in terms of potential energy as a sum of energies associated with bonded interactions  (bond length, bond angle and dihedral angle) as well as non-bonded interactions (van der Waals and electrostatic). Surfaces were created to visualize excited state properties such as highest occupied molecular orbital’s, lowest unoccupied molecular orbital’s and electrostatic potential (ESP) mapped density. The steric energy for bicalutamide was calculated to be 0.963933 a.u. (604.877867 kcal/mol). The most energetically favourable conformation of  bicalutamide was found to have a heat of formation of 7696.375900 kcal/mol. The self-consistent field (SCF) energy was calculated by geometry convergence function using RHF/PM3 method  in ArgusLab software. The most feasible position for bicalutamide  to block androgen receptors on the cells of tissues was found to be -189.888176 au ( -119156.737100 Kcal/mole).

 

KEYWORDS: Arguslab software, bicalutamide, steric energy,  receptors, surfaces.

 

 


INTRODUCTION:

N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide (bicalutamide) is an oral medication that is used for treating cancer of the prostate [1]. It belongs to a class of drugs called anti-androgens which includes flutamide  and nilutamide. Androgens are hormones that are produced and released by the adrenal glands [2] . They are responsible for supporting (stimulating) tissues that primarily are thought of as male, such as, the male prostate gland. Male traits that are influenced by androgens include facial and body hair, and small breasts. Anti-androgens prevent the action of androgens by blocking androgen receptors on the cells of tissues, for example, the cells of the prostate gland [3].

 

In addition to normal prostate cells, androgens also have been shown to stimulate the growth of cancer cells within the prostate.  Bicalutamide is thought to prevent the growth of prostate cancer by blocking the effects of androgens on the cancer cells [4]. Bicalutamide was approved by the FDA in 1995. Bicalutamide has been tested with good results for metastatic breast cancer in a phase II study and is used off-label for this indication[5,6,7].

 

The geometry of a molecule has a great impact on its energy level, physical and chemical properties. As the molecule rotates, it adopts different conformations and spatial arrangements to achieve a stable state with the lowest energy[8]. The total molecular energy can be evaluated in terms of potential energy surface as a sum of energies associated with each type of bonded interactions i.e. bond length, bond angle and dihedral angle as well as non-bonded interactions (Vander Waals and electrostatic) taking place in a molecule [9]. This present work describes the quantum chemical studies  of  N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide (Bicalutamide) by ArgusLab 4.0.1 software [10].

 

MATERIALS AND METHODS:

A computational conformational analysis and geometry optimization study of N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide was performed on a window based computer using Arguslab [10] and ACDlab ChemSketch[11] software. ACDlab ChemSketch software was used to generate the electron density cloud of N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl] propanamide. N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide  structure was generated by ArgusLab 4.0.1[10]  and geometric optimization was performed with the semi-empirical RHF/Austin Model 1 (AM1) parameterization. The minimum potential energy was calculated by using geometry convergence function in Arguslab software [10]. In order to determine the allowed conformation the contact distance between the atoms in adjacent residues was examined using criteria for minimum Vander Waal contact distance [12]. Surfaces created to visualize the excited state properties such as orbital, electron densities, electrostatic potentials (ESP) mapped density. The final geometrical energy and SCF energy was calculated by RHF/PM3 method, as performed by Arguslab 4.0.1 suite.

 

RESULTS AND DISCUSSION:

Figure. 1 shows the perspective view of N-[4-cyano-3-(trifluoromethyl)phenyl]-2-hydroxy-2-methyl-3-[(4-methylphenyl)sulfonyl]propanamide (bicalutamide)  generated by ACDlab Chemsketch. Electron density and active conformation of bicalutamide with labeled atoms genetated by Arguslab software is illustrated in Figures 2 and 3.  Figure 4 and 5 illustrates the frontier molecular orbital’s i.e. highest occupied molecular orbital (HOMO) and the lowest unoccupied (LUMO) molecular orbital. Figure 6 represent the opaque electrostatic potential (ESP) mapped electron density surface. SCF energy convergence map is shown in Figure 7. Atomic coordinates are given in Table 1. Tables 2 and 3 represent the bond angles and bond lengths respectively. Tables 4 and 5 represent dihedral angles and Mulliken / ZDO atomic charges of bicalutamide, Estimated steric energy for bicalutamide calculated from geometry optimization is shown in Table 6.


 

 


Figure 2: Electron density clouds of bicalutamide by ACDlabs 3D viewer.

 

Figure 3: Active conformation of bicalutamide by Arguslab software.

 

Figure 4: Highest occupied molecular orbital’s (HOMO) of bicalutamide.

 

Figure 5: Lowest unoccupied molecular orbital’s (LUMO) of bicalutamide.

 

Figure 6: Electrostatic potential mapped density of bicalutamide.

 

Figure 7: SCF energy of bicalutamide.

Table 1: Atomic coordinates of  bicalutamide.

S. No

Atoms

x

y

z

1

   C

15.221000

 -14.029100

   0.000000

2

   C

15.221000

 -15.359100

   0.000000

3

   C

14.069100

 -13.364100

   0.000000

4

   C

14.069100

 -16.024100

   0.000000

5

   C

12.917300

 -14.029100

   0.000000

6

   C

12.917300

 -15.359100

   0.000000

7

   N

14.069100

 -12.034100

   0.000000

8

   C

15.220900

 -11.369100

   0.000000

9

   O

15.220800

 -10.039100

   0.000000

10

   C

16.372700

 -12.034100

   0.000000

11

   C

16.372700

 -13.364100

   0.000000

12

   C

17.524500

 -11.369000

   0.000000

13

   O

16.372700

 -10.704100

   0.000000

14

   C

14.069100

 -17.354100

   0.000000

15

   C

16.372800

 -16.024100

   0.000000

16

   S

18.676300

 -12.034000

   0.000000

17

   O

19.341300

 -10.882200

   0.000000

18

   O

18.011300

 -13.185800

   0.000000

19

   C

19.828000

 -12.699200

   0.000000

20

   C

20.980000

 -12.034400

   0.000000

21

   C

19.827800

 -14.029300

   0.000000

22

   C

22.131700

 -12.699700

   0.000000

23

   C

20.979500

 -14.694500

   0.000000

24

   C

22.131400

 -14.029700

   0.000000

25

   C

23.283100

 -14.694900

   0.000000

 

Table 2: Bond length of  bicalutamide.

Atoms

Bond length

(C1)-(C2)

1.458000 

(C1)-(C3)

1.323387 

(C2)-(C4)

1.323387 

(C2)-(C15)

1.461000 

(C3)-(C5)

1.458000 

(C3)-(N7)

1.419751 

(C4)-(C6)

1.458000 

(C4)-(C14)

1.461000 

(C5)-(C6)

1.323387 

(N7)-(C8)

1.346235 

(C8)-(O9)

1.260307

(C8)-(C10)

1.489000

(C10)-(C11)

1.489000 

(C10)-(C12)

1.489000 

(C10)-(O13)

1.436155 

(C12)-(S16)

1.803096

(S16)-(O17)

1.546726

(S16)-(O18)

1.546726 

(S16)-(C19)

1.800077

(C19)-(C20)

1.458000 

(C19)-(C21)

1.323387 

(C20)-(C22)

1.323387 

(C21)-(C23)

1.458000 

(C22)-(C24)

1.458000 

(C23)-(C24)

1.323387 

(C24)-(C25)

1.461000 

 

Table 3: Bond angles of  bicalutamide

Atoms

Bond angles

Alternate angles

(C2)-(C1)-(C3)

 120.000000

 216.488007

(C1)-(C2)-(C4)

 120.000000

 216.488007

(C1)-(C2)-(C15)

 120.000000

 187.861407

(C1)-(C3)-(C5)

 120.000000

 216.488007

(C1)-(C3)-(N7)

 120.000000

 300.697530

(C4)-(C2)-(C15)

 120.000000

 215.760874

(C2)-(C4)-(C6)

 120.000000

 216.488007

(C2)-(C4)-(C14)

 120.000000

 215.760874

(C5)-(C3)-(N7)

 120.000000

 260.801534

(C3)-(C5)-(C6)

 120.000000

 216.488007

(C3)-(N7)-(C8)

 120.000000

 220.592895

(C6)-(C4)-(C14)

 120.000000

 187.861407

(C4)-(C6)-(C5)

 120.000000

 216.488007

(N7)-(C8)-(O9)

 120.000000

 421.698151

(N7)-(C8)-(C10)

 120.000000

 271.876115

(O9)-(C8)-(C10)

 120.000000

 268.043115

(C8)-(C10)-(C11)

109.470000

 225.183707

(C8)-(C10)-(C12)

109.470000

 225.183707

(C8)-(C10)-(O13)

 109.470000

 285.652813

(C11)-(C10)-(C12)

 109.470000

 225.183707

(C11)-(C10)-(O13)

109.470000

 285.652813

(C12)-(C10)-(O13)

109.470000

 285.652813

(C10)-(12C)-(S16)

120.000000

 182.954379

(C12)-(S16)-(O17)

92.100000

 302.641626

(C12)-(S16)-(O18)

92.100000

302.641626

(C12)-(S16)-(C19)

 92.100000

206.072728

(O17)-(S16)-(O18)

92.100000

471.223100

(O17)-(S16)-(C19)

92.100000

303.587174

(O18)-(S16)-(C19)

92.100000

303.587174

(S16)-(C19)-(C20)

120.000000

 188.274860

(S16)-(C19)-(C21)

 120.000000

 210.303144

(C20)-(C19)-(C21)

 120.000000

 216.488007

(C19)-(C20)-(C22)

 120.000000

 216.488007

(C19)-(C21)-(C23)

 120.000000

 216.488007

(C20)-(C22)-(C24)

 120.000000

 216.488007

(C21)-(C23)-(C24)

120.000000

 216.488007

(C22)-(C24)-(C23)

120.000000

 216.488007

(C22)-(C24)-(C25)

 120.000000

 187.861407

(C23)-(C24)-(C25)

 120.000000

 215.760874

 

Table 4: Dihedral angles of  bicalutamide.

Atoms

Dihedral angles

(C4)-(C2)-(C1)-(C3)

5.000000

(C15)-(C2)-(C1)-(C3)

5.000000

(C2)-(C1)-(C3)-(C5)

19.486776

(C2)-(C1)-(C3)-(N7)

19.486776

(C1)-(C2)-(C4)-(C6)

9.743388

(C1)-(C2)-(C4)-(C14)

9.743388

(C1)-(C3)-(C5)-(C6)

5.000000

(C1)-(C3)-(N7)-(C8)

5.000000

(C6)-(C4)-(C2)-(C15)

9.743388

(C14)-(C4)-(C2)-(C15)

9.743388

(C2)-(C4)-(C6)-(C5)

5.000000

(C6)-(C5)-(C3)-(N7)

5.000000

(C5)-(C3)-(N7)-(C8)

5.000000

(C3)-(C5)-(C6)-(C4)

38.973552

(C3)-(N7)-(C8)-(O9)

13.474221

(C3)-(N7)-(C8)-(C10)

13.474221

(C5)-(C6)-(C4)-(C14)

5.000000

(N7)-(C8)-(C10)-(C11)

0.333333

(N7)-(C8)-(C10)-(C12)

0.333333

(N7)-(C8)-(C10)-(O13)

0.333333

(O9)-(C8)-(C10)-(C11)

0.333333

(O9)-(C8)-(C10)-(C12)

0.333333

(O9)-(C8)-(C10)-(O13)

0.333333

(C8)-(C10)-(C12)-(S16)

0.333333

(C11)-(C10)-(C12)-(S16)

0.333333

(S16)-(C12)-(C10)-(O13)

0.333333

(C10)-(C12)-(S16)-(O17)

2.635231

(C10)-(C12)-(S16)-(O18)

2.635231

(C10)-(C12)-(S16)-(C19)

2.635231

(C12)-(S16)-(C19)-(C20)

1.317616

(C12)-(S16)-(C19)-(C21)

1.317616

(O17)-(S16)-(C19)-(C20)

1.317616

(O17)-(S16)-(C19)-(C21)

1.317616

(O18)-(S16)-(C19)-(C20)

1.317616

(O18)-(S16)-(C19)-(C21)

1.317616

(S16)-(C19)-(C20)-(C22)

5.000000

(S16)-(C19)-(C21)-(C23)

19.486776

(C22)-(C20)-(C19)-(C21)

5.000000

(C20)-(C19)-(C21)-(C23)

19.486776

(C19)-(C20)-(C22)-(C24)

38.973552

(C19)-(C21)-(C23)-(C24)

10.000000

(C20)-(C22)-(C24)-(C23)

5.000000

(C20)-(C22)-(C24)-(C25)

5.000000

(C21)-(C23)-(C24)-(C22)

19.486776

(C21)-(C23)-(C24)-(C25)

19.486776

 

Table 5: List of Mulliken atomic charges and ZDO atomic charges of  bicalutamide.

S.No

Atoms

ZDO atomic charges

Mulliken atomic charges

1

C

3.1873

3.2003

2

C

3.1161

3.1048

3

C

2.9111

2.9365

4

C

3.1373

3.1412

5

C

3.0610

3.0590

6

C

3.0653

3.0600

7

N

3.1659

3.0966

8

C

1.0299

1.1183

9

O

0.6417

0.5987

10

C

0.5988

0.5764

11

C

1.3712

1.4591

12

C

-1.5922

-1.6155

13

O

-0.6757

-0.6901

14

C

3.5143

3.5188

15

C

3.5524

3.5620

16

S

-1.9362

-1.9592

17

O

-1.9907

-1.9921

18

O

-1.6684

-1.6817

19

C

-3.9906

-3.9981

20

C

-3.9876

-3.9902

21

C

-3.9529

-3.9556

22

C

-3.9360

-3.9396

23

C

-3.7991

-3.7900

24

C

-3.1245

-3.2028

25

C

-2.6985

-2.6170

 

Table 5:  Final energy evaluation.

S.No

Force field  energy components

Values (au)

1

Molecular mechanics bond (Estr)

0.02240327

2

Molecular mechanics angle (Ebend)+ (Estr‑bend)

0.85887109

3

Molecular mechanics dihedral (Etor)

0.02679063

4

Molecular mechanics ImpTor (Eoop)

0.00000000

5

Molecular mechanics vdW (EVdW)

0.05586838

6

Molecular mechanics coulomb (Eqq)

0.00000000

Total

 0.96393337 a.u. (604.87786764 kcal/mol) 

 

Among the molecular orbitals, HOMO (Figure 4) is a non bonding type while the LUMO is a π molecular orbital. The positive and negative charges are indicated by blue and red color, respectively. LUMO (Figure 5) map can provide an idea for nucleophilicity as shown above. The opaque electrostatic potential (ESP) map (Figure 6) of bicalutamide exhibits the complete colors for the values of the ESP energy (in Hartrees) at the points on the electron density surface. The red color indicates the increase electron density around the oxygen dominated region of the molecule representing the most negative regions of the ESP (region of highest stability) for a positive test charge where it would have favourable interaction energy. On the other hand the cyano-substituted aromatic ring of the molecule, shows the region of least stability for the positive test charge indicating the unfavorable interaction energy. Thus an ESP-mapped density surface can be used to show the regions of a molecule that might be more favourable to nucleophilic or electrophilic attack, making these types of surfaces useful for the qualitative interpretations [10]. 

 

The geometry convergence map of bicalutamide clearly shows a decrease in potential energy with the progress of circle. The final SCF energy of bicalutamide was found to be  -189.888176 au ( -119156.737100) kcal/mol as calculated by RHF/PM3 method using ArgusLab 4.0.1 suite. SCF was obtained as the minimum potential energy which is the needed energy for the interaction of drug with the receptor. The self-consistent field (SCF) energy is the average interaction between a given particle and other particles of a quantum-mechanical system consisting of many particles. Beacause the problem of many interacting particles is very complex and has no exact solution; calculations are done by approximate methods. One of the most often used approximated methods of quantum mechanics is based on the interaction of a self-consistent field, which permits the many-particle problem to be reduced to the problem of a single particle moving in the average self-consistent field produced by the other particles [13]. It should be noted that the Mulliken charges do not reproduce the electostatic potentials of a molecule very well. Mulliken charges were calculed by determining the electron population of each atom as defined by the basis functions [14].The standard heat of formation of a compound is the enthalpy change for the formation of 1 mole of the compound from its constituent elements in their standard states at 1 atmosphere. Its symbol is ΔHfθ.  The most energetically favourable conformation of bicalutamide was found to have a heat of formation of  7696.375900 kcal/mol. The steric energy calculated for bicalutamide was 0.963933 a.u. (604.877867 kcal/mol). 

                

CONCLUSION:

The steric energy was evaluated in terms of potential energy as a sum of energies associated with bonded interactions  (bond length, bond angle and dihedral angle) as well as non-bonded interactions (van der Waals and electrostatic). Surfaces were created to visualize excited state properties such as orbital, electron densities, electrostatic potential (ESP) mapped density.  The most energetically favourable conformation of  bicalutamide was found to have a heat of formation of 7696.375900 kcal/mol. The self-consistent field (SCF) energy was calculated by geometry convergence function using RHF/PM3 method  in ArgusLab software. The most feasible position for bicalutamide  to block the androgens receptors on the cells of tissues was found to be -189.8881763568 au -119156.7371.

 

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11   http://www.acdlab.com

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Received on 22.08.2015       Modified on 17.09.2015

Accepted on 02.10.2015      ©A&V Publications All right reserved

Res.  J. Pharmacognosy & Phytochem. 7(4): Oct-Dec. 2015; Page 214-218

DOI: 10.5958/0975-4385.2015.00032.1