Molecular Mechanics Potential Energy Function of Angiotensin-Converting Enzyme (ACE) inhibitor, Lisinopril.

 

I.E. Otuokere

Department of Chemistry, Michael Okpara University of Agriculture, Umudike

*Corresponding Author E-mail: tosmanbaba@yahoo.com

 

ABSTRACT:

Lisinopril (N2-[(1S)-1-carboxy-3-phenylpropyl]-L-lysyl-L-proline) is a drug of the angiotensin-converting enzyme (ACE) inhibitor class used primarily in treatment of hypertension, congestive heart failure, and heart attacks, and also in preventing renal and retinal complications of diabetes. Molecular mechanics potential energy function of Lisinopril was performed by conformational analysis and geometry optimization  method using ArgusLab 4.0.1 software. The minimum potential energy was calculated by geometry convergence function. The most feasible potential energy for lisinopril to act as  angiotensin-converting enzyme (ACE) inhibitor was found to be  78.73178401 kcal/mol

 

KEYWORDS: Angiotensin-converting enzyme, lisinopril, Arguslab 4.0.1, potential energy, geometry optimization

 


Introduction

Lisinopril is a drug of the angiotensin-converting enzyme (ACE) inhibitor class used primarily in treatment of hypertension, congestive heart failure, and heart attacks, and also in preventing renal and retinal complications of diabetes. Its indications, contraindications and side effects are as those for all ACE inhibitors1. Angiotensin converting enzyme inhibitors (ACE-I) have been found generally to have neutral or even favorable effects on glucose metabolism and on insulin sensitivity in both non diabetic2-4 and diabetic hypertensive patients5-7. Lisinopril was the third ACE inhibitor (after captopril and enalapril) and was introduced into therapy in the early 1990s8. A number of properties distinguish it from other ACE inhibitors: It is hydrophilic, has a long half-life and tissue penetration, and is not metabolized by the liver9. Lisinopril causes the kidneys to retain potassium, which may lead to hyperkalemia9.  Lisinopril has been assigned to pregnancy category D by the FDA for use during the second and third trimesters and to category C during the first trimester10.

 

Animal and human data have revealed evidence of embryolethality and teratogenicity associated with angiotensin-converting enzyme (ACE) inhibitors10. There are no controlled data in human pregnancy. Congenital malformations have been reported with the use of ACE inhibitors during the first trimester of pregnancy, while fetal and neonatal toxicity, death, and congenital anomalies have been reported with their use during the second and third trimesters of pregnancy10. If the patient becomes pregnant, lisinopril should be discontinued as soon as possible; it is considered contraindicated during pregnancy. There are no data on the excretion of lisinopril into human milk. The manufacturer recommends, due to the potential for serious adverse reactions in nursing infants, a decision should be made to discontinue nursing or discontinue the drug, taking into account the importance of the drug to the mother10. Lisinopril is the lysine-analog of enalapril. Unlike other ACE inhibitors, it is not a prodrug and is excreted unchanged in the urine. In cases of overdosage, it can be removed from circulation by dialysis11  

 

Argus Lab12 is the electronic structure program that is based on the quantum mechanics, it predicts the potential

energies, molecular structures; geometry optimization of structure, vibration frequencies of coordinates of atoms,

bond length, bond angle and reactions pathway 13. The molecular mechanics method calculates the energy as the function of the coordinates and energy. Energy minimization is an intergral part of the method14. The basic functional form of a force field (potential energy) encapsulates both bonded terms relating to atoms that are linked by covalent bonds, and nonbonded (also called "noncovalent") terms describing the long-range electrostatic and van der Waals forces. The specific decomposition of the terms depends on the force field 15, 16, 17, 18, but a general form for the total energy in an additive force field can be written as

 

 

The components of the covalent and  noncovalent contributions are given by the following summations:

 

 3

 

The bond and angle terms are usually modeled as harmonic oscillators in force fields that do not allow bond breaking. The functional form for the rest of the bonded terms is highly variable15, 16, 17, and 18. Proper dihedral potentials are usually included. Additionally, "improper torsional" terms may be added to enforce the planarity of aromatic rings and other conjugated systems, and "cross-terms" that describe coupling of different internal variables, such as angles and bond lengths. Some force fields also include explicit terms for hydrogen bonds15- 18.

In this research, we present the molecular mechanics potential energy function of Angiotensin-Converting Enzyme (ACE) inhibitor, Lisinopril.

 

MATERIALS AND METHODS:

All conformational analysis (geometry optimization) study was performed on a window based computer using Argus lab 4.0.1 and ACD Lab Chem Sketch software’ . Lisinopril structure was sketched with ACD Lab Chem Sketch software and saved as MDL Molfiles(*mol).  The lisinopril structure was generated by Argus lab, and minimization was performed with the semi-empirical Austin Model 1 (AM1) parameterization 19. The minimum potential energy is calculated by using geometry convergence function in Argus lab software.

 

RESULTS:

The Prospective view, active conformation, electrostatic potential, Highest Occupied Molecular Orbitals of Lisinopril (HOMO) and Lowest Unoccupied Molecular Orbitals of Lisinopril (LUMO) are presented in Figures    1 – 5 respectively. The atom coordinates, bond length, bond angles, dihedral angles, improper torsions and final potential energy evaluation are presented in Tables 1 – 6 respectively.

 


 

Figure 2: Prospective view of the active conformation of Lisinopril by Arguslab 4.0.1 Software.

 

 


Table 1: Geometry Optimized Atom coordinates of lisinopril                                     

S.No

Atoms

x

y

z

 1

C1

18.281600

9.029600

0.000000

 2

C2

18.281600

10.359600

0.000000

3

C3

17.129700

8.364600

0.000000

4

C4

17.129700

11.024600

0.000000

5

C5

15.977900

9.029600

0.000000

6

C6

15.977900

10.359600

0.000000

7

C7

14.826100

8.364600

0.000000

8

C8

13.351900

8.973500

0.000000

9

C9

12.297500

8.162800

0.168017

10

C10

12.472500

6.844300

0.168017

11

O11

12.491700

5.472800

0.168017

12

O12

13.701700

6.336600

0.000000

13

N13

11.068300

8.670500

0.168017

14

C14

10.001537

7.741696

0.479869

15

N15

9.704463

6.659504

0.479869

16

C16

8.403137

6.050296

0.479869

17

O17

10.893700

5.878600

0.000000

18

C18

8.375600

4.839100

0.168017

19

C19

9.669893

4.383634

0.330483

20

C20

10.399007

5.449066

0.162466

21

C21

10.963693

4.402134

0.005551

22

O22

12.246200

4.291100

0.168017

23

O23

10.157100

3.320500

0.168017

24

C24

8.911863

8.703804

0.311852

25

C25

7.701237

7.865496

0.311852

26

C26

6.599200

8.709500

0.000000

27

C27

5.413300

8.107300

0.000000

28

N28

4.298900

8.833200

0.000000

29

H29

19.234210

8.479569

0.000000

30

H30

19.234228

10.909600

0.000000

31

H31

17.129664

7.264600

0.000000

32

H32

17.129664

12.124600

0.000000

33

H33

15.025272

10.909600

0.000000

34

H34

14.970774

7.274155

0.000000

35

H35

13.207226

10.063945

0.000000

36

H36

7.632766

7.046649

0.311852

37

H37

7.406900

4.317929

0.000000

38

H38

10.044578

3.372496

0.000000

39

H39

8.958594

9.684112

0.000000

40

H40

7.651947

6.844273

0.162939

41

H41

6.658275

9.807913

0.000000

42

H42

5.354225

7.008887

0.000000

43

H43

3.425283

8.164774

0.000000

44

H44

4.274856

9.467604

0.898306

45

H45

4.274856

9.467604

0.898306

 

Table 2: Geometry Optimized Bond length of Lisinopril

S.No

Atoms

Bond Length (Ε)

1

(C1)-(C2)

1.458000

2

(C1)-(C3)

1.323387

3

(C2)-(C4)

1.323387

4

(C3)-(C5)

1.458000

5

(C4)-(C5)

1.458000

6

(C5)-(C6)

1.323387

7

(C5)-(C7)

1.461000

8

(C7)-(C7)

1.464000

9

(C8)-(C9)

1.464000

10

(C9)-(C10)

1.464000

11

(C9)-(N13)

1.422764

12

(C10)-(O11)

1.312651

13

(C10)-(O12)

1.312651

14

(N13)-(C14)

1.422764

15

(C14)-(N15)

1.437821

16

(C14)-(C24)

1.464000

17

(N15)-(O17)

1.215493

18

(N15)-(C16)

1.437821

19

(N15)-(C20)

1.437821

20

(C16)-(C18)

1.464000

21

(C18)-(C19)

1.464000

22

(C19)-(C20)

1.464000

23

(C20)-(C21)

1.464000

24

(C21)-(O22)

1.312651

25

(C21)-(O23)

1.312651

26

(C24)-(C25)

1.464000

27

(C25)-(C26)

1.464000

28

(C26)-(C27)

1.464000

29

(C27)-(N28)

1.437821

 

Table 3:  Geometry Optimized Bond Angles of Lisinopril

S.No

Atoms

Bond Angles (o)

Alternate

Bond Angles (o)

1

(C2)-(C1)-(C3)

120.000000

216.488007

2

(C1)-(C2)-(C4)

120.000000

216.488007

3

(C1)-(C3)-(C5)

120.000000

216.488007

4

(C2)-(C4)-(C6)

120.000000

216.488007

5

(C3)-(C5)-(C6)

120.000000

216.488007

6

(C3)-(C5)-(C7)

120.000000

187.861407

7

(C4)-(C6)-(C5)

120.000000

216.488007

8

(C6)-(C5)-(C7)

120.000000

215.760874

9

(C5)-(C7)-(C8)

120.000000

186.707708

10

(C7)-(C8)-(C9)

120.000000

186.134654

11

(C8)-(C9)-(C10)

120.000000

186.134654

12

(C8)-(C9)-(N13)

120.000000

258.357159

13

(C10)-(C9)-(N13)

120.000000

258.357159

14

(C9)-(C10)-(O11)

120.000000

261.540528

15

(C9)-(C10)-(O12)

120.000000

261.540528

16

(C9)-(N13)-(C14)

120.000000

202.792364

17

(O11)-(C10)-(O12)

120.000000

373.664718

18

(N13)-(C14)-(N15)

120.000000

353.361029

19

(N13)-(C14)-(C24)

120.000000

258.357159

20

(N15)-(C14)-(C24)

120.000000

254.396988

21

(C14)-(N15)-(O17)

106.700000

404.753775

22

(C14)-(N15)-(C16)

106.700000

268.148199

23

(C14)-(N15)-(C20)

106.700000

268.148199

24

(C14)-(C24)-(C25)

120.000000

186.134654

25

(O17)-(N15)-(C16)

106.700000

404.753775

26

(O17)-(N15)-(C20)

106.700000

404.753775

27

(C16)-(N15)-(C20)

106.700000

268.148199

28

(N15)-(C16)-(C18)

120.000000

254.396988

29

(N15)-(C20)-(C19)

120.000000

254.396988

30

(N15)-(C20)-(C21)

120.000000

254.396988

31

(C16)-(C18)-(C19)

120.000000

186.134654

32

(C18)-(C19)-(C20)

120.000000

186.134654

33

(C19)-(C20)-(C21)

120.000000

186.134654

34

(C20)-(C21)-(O22)

120.000000

261.540528

35

(C20)-(C21)-(O23)

120.000000

261.540528

36

(O22)-(C21)-(O23)

120.000000

373.664718

37

(C24)-(C25)-(C26)

120.000000

186.134654

38

(C25)-(C26)-(C27)

120.000000

186.134654

39

(C26)-(C27)-(N28)

120.000000

254.396988

 

Table 4: Geometry Optimized Dihedral Angles of Lisinopril

S.No

Atoms

Dihedral Angle (o)

1

 (C4)-(C2)-(C1)-(C3)

10.000000

2

 (C2)-(C1)-(C3)-(C5)

38.973552

3

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

38.973552

4

 (C1)-(C3)-(C5)-(C6)

5.000000

5

 (C1)-(C3)-(C5)-(C7)

5.000000

6

 (C2)-(C4)-(C6)-(C5)

10.000000

7

 (C3)-(C5)-(C6)-(C4)

19.486776

8

 (C3)-(C5)-(C7)-(C8)

5.000000

9

 (C4)-(C6)-(C5)-(C7)

19.486776

10

 (C6)-(C5)-(C7)-(C8)

5.000000

11

(C5)-(C7)-(C8)-(C9)

10.000000

12

 (C7)-(C8)-(C9)-(C10)

5.000000

13

 (C7)-(C8)-(C9)-(N13)

5.000000

14

(C8)-(C9)-(C10)-(O11)

2.500000

15

 (C8)-(C9)-(C10)-(O12)

2.500000

16

 (C8)-(C9)-(N13)-(C14)

5.000000

17

 (O11)-(C10)-(C9)-(N13)

2.500000

18

 (O12)-(C10)-(C9)-(N13)

2.500000

19

 (C10)-(C9)-(N13)-(C14)

5.000000

20

 (C9)-(N13)-(C14)-(N15)

5.000000

21

 (C9)-(N13)-(C14)-(C24)

5.000000

22

 (N13)-(C14)-(N15)-(O17)

0.333333

23

 (N13)-(C14)-(N15)-(C16)

0.333333

24

 (N13)-(C14)-(N15)-(C20)

0.333333

25

 (N13)-(C14)-(C24)-(C25)

5.000000

26

 (O17)-(N15)-(C14)-(C24)

0.333333

27

 (C16)-(N15)-(C14)-(C24)

0.333333

28

 (C20)-(N15)-(C14)-(C24)

0.333333

29

 (N15)-(C14)-(C24)-(C25)

5.000000

30

 (C14)-(N15)-(C16)-(C18)

0.666667

31

 (C14)-(N15)-(C20)-(C19)

0.333333

32

 (C14)-(N15)-(C20)-(C21)

0.333333

33

 (C14)-(C24)-(C25)-(C26)

10.000000

34

(O17)-(N15)-(C16)-(C18)

0.666667

35

 (O17)-(N15)-(C20)-(C19)

0.333333

36

 (O17)-(N15)-(C20)-(C21)

0.333333

37

 (C18)-(C16)-(N15)-(C20)

0.666667

39

 (C16)-(N15)-(C20)-(C19)

0.333333

39

 (C16)-(N15)-(C20)-(C21)

0.333333

40

 (N15)-(C16)-(C18)-(C19)

10.000000

41

 (N15)-(C20)-(C19)-(C18)

5.000000

42

 (N15)-(C20)-(C21)-(O22)

2.500000

43

 (N15)-(C20)-(C21)-(O23)

2.500000

44

 (C16)-(C18)-(C19)-(C20)

10.000000

45

 (C18)-(C19)-(C20)-(C21)

5.000000

46

(C19)-(C20)-(C21)-(O22)

2.500000

47

 (C19)-(C20)-(C21)-(O23)

2.500000

48

 (C24)-(C25)-(C26)-(C27)

10.000000

49

 (C25)-(C26)-(C27)-(N28)

10.000000

 

Table 5: Geometry Optimized Improper Torsions of  lisinopril

S.No

Atoms

Improper Torsions

1

(C6)-(C7)-(C5)-(C3)

2.000000

2

(C10)-(N13)-(C9)-(C8)

2.000000

3

(O11)-(O12)-(C10)-(C9)

16.666667

4

(N15)-(C24)-(C14)-(N13)

2.000000

5

(C19)-(C21)-(C20)-(N15)

2.000000

6

(O22)-(O23)-(C21)-(C20)

16.666667

 

Table 6:  Final Energy Evaluation  

Components

Geometry Optimized Energy (au)

Molecular mechanics bond length

0.00573278

Molecular mechanics bond angle

0.05431651

Dihedral Angle

0.03526854

Improper Torsions

0.00116311

Van daal Waals

0.02898603

Coulomb

0.00000000

Total

0.12546697 a.u.

Total

78.73178401 kcal/mol

 

 


DISCUSSIONS:

ArgusLab generated mapped surface of lisinopril (Figure 3).  The electrostatic potential (ESP) was mapped onto the surface of the electron density.  In the ESP-mapped density surface, the electron density surface gave the shape of the surface while the value of the ESP on that surface gave the colors 12.  The electrostatic potential is the potential energy felt by a positive "test" charge at a particular point in space 12. . Thus, the ESP-mapped density surface showed regions of lisinopril that might be more favorable to nucleophilic or electrophilic attack, making these types of surfaces useful for qualitative interpretations of chemical reactivity.  Another way to think of ESP-mapped density surface of the lisinopril is that it showed "where" the frontier electron density for the molecule is greatest (or least) relative to the nuclei 12. The red region showed the greatest increase in electron density centered over the carbon (the ESP difference is negative indicating that the ESP became more negative as electron density increased in this region).  Also, the magenta region showed the greatest decrease in electron density (since electron density decreased, the ESP became more positive).  The various other colors showed how ESP difference changes on all points of the electron density surface.

 

The highest occupied molecular orbital (HOMO) of lisinopril (Figure 4) is a non-bonding type MO that is in the plane of the molecule.  The lowest unoccupied molecular orbital (LUMO) (Figure 5) is a π MO perpendicular to the plane of the molecule.  The first excited state of lisinopril is an n→π* transition that is composed almost exclusively of the HOMO → LUMO transition.The HOMO is localized to the plane of the molecule and is a non-bonding MO.  The LUMO is perpendicular to the plane of the molecule and is a combination of the pz atomic orbitals.  

 

Atom coordinates of Lisinopril (Table 1) is the lowest energy conformation of the molecule. Arguslab system made several changes in the atom position through rotation. The molecule was geometrically optimized. This process is termed energy minimization. This is the main objective of molecular mechanic The geometry optimized bond lengths have been presented in Figure 2. The molecular mechanics bond length energy (Table 6) was calculatedd to be 0.00573278 au. The bond length energy was calculated based on equation 4 5, 16-18.

 

Kb is the force constant of lisinopril, evaluated from quantum mechanics. The parameters b and bo are the bond length and ideal bond length of lisinopril.                                                              

 

The molecular mechanics bond angle energy (Table 6) was found to be 0.05431651 au. This energy was associated with summation of the alterations of bond angles,  from ideal values o, multiplied by the force constant Ko as presented in equation 55, 16-18.  

The potential energy of the dihedral angle and improper torsions were simulated based on Equation 65, 16-18. The potentials were assumed to be periodic and expressed as cosine function. The value of the dihedral energy and improper torsions are 0.03526854 and 0.00116311 au respectively.

 

The energy term representing the contribution of non-bonded interactions in the potential function of lisinopril had two components, the Vander Waals interaction energy and the electrostatic interaction energy. In the Potential function these interactions accounted for the electrostatic and Vander Waals interactions. The Vander Waals interactions between two atoms of lisinopril aroused from a balance between repulsive and attractive forces. The repulsive forces emanated at short distances where the electron –electron interaction is strong. The attractive forces, also referred to as the dispersion force aroused from fluctuations in the charge distribution of the electron cloud. The fluctuation in the electron distribution on the atom gave rise to an instantaneous dipole which in turn induced a dipole in a second atom which gave rise to attractive interactions. The Vaander Waals interaction could also be modeled using Lennard-Jones 6–12 potential (Equation 7)5,16-18 which expressed the interaction energy using the atom-type dependent constant, A and C. Values of A and C were determined by non-bonding distances in lisinopril while r and K represent the atomic separation and force constant respectively. The Van-der-Waals potential energy was simulated to be 0.0289863 au.

 

The final molecular mechanics potential energy function of lisinopril was simulated to be 0.12546697 a.u  (78.73178401 Kcal/mol).  Conformational analyses (Geometry optimization) of nucleosidic antitumor antibiotic showdomycin by Arguslab 4 Software have been reported 20. The minimum potential energy was calculated by geometry convergence function. It was discovered that the most feasible position for the drug to interact with the receptor was −0.269696 K.cal/mole. We hereby suggest that the most feasible potential energy for lisinopril to act as angiotensin-converting enzyme (ACE) inhibitor is 78.73178401 Kcal/mol

 

References

1.        Lisinopril - Wikipedia, the free encyclopedia.URL: http://www.wikipedia.org/2014.

2.        Pollare T et al. Comparison of the effects of hydrochlorothiazide and captopril on glucose and lipid metabolism in patients with hypertension. N Engl J Med. 321; 1989: 321:868–873.

3.        Pollare T et al. Sensitivity to insulin during treatment with atenolol and metoprolol: a  randomized, double-blind study of effects on carbohydrate and lipoprotein metabolism in patients with hypertension. N Engl J Med.,321; 1989: 868–873.

4.        Falkner B et al. Effect of angiotensin converting enzyme inhibitor (lisinopril) on insulin sensitivity and sodium transport in mild hypertension. Am J Hypertens. 8;1995:8:454–460.

5.        Paolisso G et al. ACE-inhibition improves insulin sensitivity in aged insulin resistant  hypertensive patients. J Human Hypertens.6; 1992:175–179.

6.        Torlone E etal. Improved insulin action and glycemic control after long-term angiotensin converting enzyme inhibition in subjects with arterial hypertension and type II diabetes. Diabetes Care. 16; 1993: 1347–1355.

7.        Shamiss et al. The effect of enalapril with and without hydrochlorothiazide on insulin sensitivity and other metabolic abnormalities of hypertensive patients with NIDDM. Am J.  Hypertens. 8; 1995: 276–281.

8.        Patchett A et al.  "A new class of angiotensin-converting enzyme inhibitors". Nature 288 (5788); 1980: 280–300.

9.        "Hyperkalemia in the use of Lisinopril, who, when, how?".URL:http://www. eHealthMe.org/2010.

10.     "Lisinopril". US Marketed DrugsURL: http://www.drugsdb.eu./2014.

11.      AstraZeneca. "ZESTRIL (lisinopril) product insert".URL: http://www. accessdata.fda.gov/2011.

12.     Mark AT.  Planaria Software LLC, Seattle, WA 2003.URL: http://www.arguslab.com

13.     Peng C (1995).Using redundant internal coordinates to optimize equilibrium geometries and transition states. J. Comp.Chem., 16; 1995: 49-51.

14.     Khalida B. Computer aided drug designing of imidazole free acyl piparazine derivative as a histamine H3 receptor antagonist, Pak. J. Biochem. Mol. Biol., 45(3);2012: 154 -158.

15.     Mackerell AD et al. An All Atom Empirical Energy for the simulation of Nucleic Acids, J.Am. Chem. Soc. 117; 1995: 11946 – 11975.

16.     Mackerell AD Et a. All-atom Empirical Potential for Molecular Modelling and Dynamics Studies of Proteins. J. Phys. Chem. 102; 1998: 3586 – 3616.

17.     Schlenkrich M et al. An Empirical Potential Energy Function for Phospholipids: Criteria for Parameter Optimzation and Applications, in Biological Membranes: A molecularPerspective from Computation and Experiment , Birkhauser , 1996: 31 – 81.

18.     Ha S.N. A revised potential energy surface for molecular mechanics studies of carbohydrates, Carbohydr. Res. 180(2); 1988 : 207 – 221.

19.     Dewar MJS et al. AM1: A new general purpose quantum mechanical molecular model. J. Am. Chem. Soc. 107: 1985; 3902-3910.

20.     Afshan N,  Conformational analysis (Geometry optimization) of nucleosidic antitumor antibiotic showdomycin by Arguslab 4 Software, Pak. J. Pharm. Sci., 22(1);  2009: 78-82.

 

 

Received on 22.08.2014                 Accepted on 30.08.2014        

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Asian J. Res. Pharm. Sci. 4(3): July-Sept. 2014; Page 118-124