Available online on 15.04.2025 at http://jddtonline.info

Journal of Drug Delivery and Therapeutics

Open Access to Pharmaceutical and Medical Research

Copyright  © 2025 The   Author(s): This is an open-access article distributed under the terms of the CC BY-NC 4.0 which permits unrestricted use, distribution, and reproduction in any medium for non-commercial use provided the original author and source are credited

Open Access Full Text Article   Research Article

Bioactive compounds of Hemidesmis indices inhibit the acyl-homoserine lactone synthase

1 Clara Preethi Rodrigo, Kasi Murugan *

1Dept. of Microbiology, Kamaraj Women’s College, Thoothukudi. Tamil Nadu, India. 

2 Dept. of Biotechnology, Manomaniam Sundarnar University, Tirunelveli, Tamil Nadu, India.

Article Info:

______________________________________________

Article History:

Received 21 Jan 2025  

Reviewed 06 March 2025  

Accepted 03 April 2025  

Published 15 April 2025  

______________________________________________

Cite this article as: 

Rodrigo CP, Murugan K, Bioactive compounds of Hemidesmis indices inhibit the acyl-homoserine lactone synthase, Journal of Drug Delivery and Therapeutics. 2025; 15(4):72-79 DOI: http://dx.doi.org/10.22270/jddt.v15i4.7072                          ______________________________________________

*Address for Correspondence:  

Dr. Kasi Murugan, Dept. of Biotechnology, Manomaniam Sundarnar University, Tirunelveli, Tamil Nadu, India.

Abstract

_______________________________________________________________________________________________________________

AHL (acyl homoserine lactone) is a signaling molecule responsible for communication in gram negative bacteria, which is responsible for bacterial virulence as well as biofilm formation. The speedy growing in the number of resistant pathogenic bacteria takes controlled to a decrease in the efficacy of the existing antimicrobial agents. Acyl-homoserine lactone synthase plays an important role in the key molecules responsible for the formation of antibiotic resistance of gram-negative bacteria. The molecular docking studies performed by using molecular docking server online respectively in which the oral biofilm target namely N-acyl homoserine (ESAI) (PDB id: 1kzf) have a potential interaction with vanillin and Hexadeconoic acid. In this study, the protein N-acyl homoserine (ESAI) was used from its structure perspectives. The primary and secondary structures were calculated using online tools. Its role in oral biofilm was assessed by molecular docking the compounds present in the root extract of Hemidesmis indices assayed by GC-MS analysis. This in-silico study results throw light on how these active components of Hemidesmis indices are effective in oral biofilm.  

Keywords: Hemidesmis indices, Docking studies. 

 


 

1. INTRODUCTION

Quorum sensing is a highly regulated and effective means of communication seen in bacterial colonies. This involves the production of certain chemical messengers called auto-inducers which signals other bacteria of the same or adjacent communities. In gram positive bacteria, the signaling molecules are called auto-inducer peptides (AIP) and in gram negative they are called acyl-homoserine lactones (AHL). The formation of biofilms is regulated by quorum sensing molecules secreted by the bacteria. 1 A biofilm is a group of microbial cells, mainly bacteria, close to the tooth surface and coated by an extracellular polymeric substance. This coating keeps cells and permits enhanced growth rates, along with new parallel gene transfer between cells within the coating, which promotes additional problems. 2 Amoxicillin from the penicillin group is often used to treat dentoalveolar abscesses and periodontitis. Amoxicillin is a broad-spectrum antibiotic that works by binding to penicillin binding proteins in Gram-positive and Gram-negative bacteria and inhibiting the transpeptidation process in bacteria. 3 Hemidesmus indicus is one of the important medicinal plants, belongs to the family Asclepiadaceae, which is derived from the word “Asklepios” means God of medicine. It is generally named as Indian Sarsaparill, and in Sanskrit, it is termed as “Anantmool,” which means endless root. It is a slim, laticiferous semi-errect shrub. Roots of this plant contains phenolic compounds, steroids, flavonoids, saponins, terpenoids, cardiac glycosides, proteins, tannins and cardiac glycosides. 4 2-hydroxy 4-methoxy benzaldehyde (2H4MB) is an isomer of vanillin; it is one of the major compounds in the volatile oils of Decalepis hamiltonii and H. indicus 5. Nowadays, the use of complementary and alternative medicine and especially the consumption of botanicals have been increasing rapid worldwide, mostly because of the evidently less frequent side-effects when compared to modern medicine. One such plant is Hemidesmis indices is a folk medicinal plant. An attempt has been taken to investigate the oral biofilm activity of identified bioactive compounds of Hemidesmis indices root extract on quorum sensing model through molecular docking. The aim of this research is to investigate the oral biofilm constituents present in the root extract of Hemidesmis indices using molecular docking prediction. In-silico docking procedures have also been carried out to examine the interactions of the plant components with acyl-homoserine lactone synthase targets. The widespread uses of Hemidesmis indices in traditional medicine have resulted in significant qualitative analysis of the plant and its active principles. 

2. EXPERIMENTAL METHODS 

2.1 Molecular Docking Analysis

A computational tool offers the advantage of delivering new drug candidates more quickly and at a lower cost. The present work by computational approach used for the following software manipulation of drugs using molecular docking server online web service for calculation of drug likeness. The identified compounds from Hemidesmis indices was used to interact with acyl homoserine lactone synthase retrieved from PDB. 

2.2 Protein Sequence

The acyl homoserine lactone protein was retrieved from online database of SWISSPROT. 6 It was obtained through the entry keyword of ESAI protein and searched the entire database. The sequence of acyl-homoserine lactone synthase were shown. The ESAI protein was retrieved in FASTA format and it was used for the further computational analysis. 

2.3 Primary Structure Prediction

For physiochemical characterization, theoretical isoelectric point (PI), molecular weight, total number of positive and negative residues, extinction coefficient, 7 half-life, 8 11 instability index,12 aliphatic index and grand average of hydropathy (GRAVY) 13 were computed using the Expasy protparm server.

2.4 Secondary Structure Prediction

Secondary structure of the protein was determined by using the FASTA sequences of protease and predicted using SOPMA and SOPM .14

2.5 Transmembrane Region Identification

The transmembrane region of ESAI protein was examined by SOSUI server. 15 The evaluated transmembrane region was analysed and visualized by pep wheel, 16 using EMBOSS 2.7 suit.

2.6 Homology Modeling and Validation

The protein sequence was subjected for comparative homology modeling via Swiss model 17 and evaluate by Rampage online server.18 The protein was confirmed by using online server procheck 19 and WHAT IF.20 The Swiss model executes the sequence alignments and looks for the assumed template protein in the 3D model. 

2.7 Protein Preparation for Docking

Docking calculations were carried out on protein models involved in acyl homoserine lactone synthase. The crystalline structure were downloaded from Protein Data Bank website (http://www.rcsb.org/pdb/home/home.do) and saved in pdb format. In the protein id the essential hydrogen atoms, Kollman united atom type charges, and salvation parameters were added with the aid of Auto Dock Tool. Affinity (grid) maps of 20x20x20 A° spacing were generated using Autogrid program. Auto dock parameter set and distance-dependent dielectric functions were used in the calculation of the van der waals and the electrostatic terms respectively.21 

2.8 GC-MS Compounds

Through the GC-MS analysis of Hemidesmis indices performed by 22 identified Hemidesmis indices, vanillin and hexadeconoic acid compounds and included in this study.

2.9 Ligand Retrieved

The screened compounds were retrieved from the PubChem compound (http://www.ncbi.nlm.nih.gov/pccompound) and used for the further studies.

2.10 Receptor retrived

The receptor of acyl-homoserine lactone synthase protein was downloaded from the PDB (http://www.rcsb.org/pdb/home/home.do) and the PDB ID: 1KZF.

2.11 Docking studies 

Docking calculations were carried out using Docking server.23 Gasteiger partial charges were additional to the ligand atoms. Non-polar hydrogen atoms were merged, and rotatable bonds were strong. Essential hydrogen atoms, Kollman united atom type charges, and solvation parameters were added with the aid of AutoDock tools. Affinity (grid) maps of xx Å grid points and 0.375 Å spacing were generated using the Auto grid program.24 Auto Dock parameter set and space dependent dielectric functions were used in the calculation of the van der Waals and the electrostatic terms, individually. Docking simulations were performed using the Lamarckian genetic algorithm (LGA) and the Solis & Wets local search method.25 Initial position, orientation, and torsions of the ligand molecules were set randomly. All rotatable torsions were released during docking. Each docking experiment was derived from 10 different runs that were set to terminate after a maximum of 250000 energy evaluations. The population size was set to 150. During the search, a translation step of 0.2 Å, and quaternion and torsion steps of 5 were applied. 

3. RESULTS AND DISCUSSION

3.1 Primary structure analysis

The acyl homoserine lactone protein (P54656)   had gene name as ESAI was retrieved from SWISSPROT as the form of FASTA sequence. 

3.2. Sequence Subjected for Modeling

MLELFDVSYEELQTTRSEELYKLRKKTFSDRLGWEVICSQGMESDEFDGPGTRYILGICEGQLVCSVRFTSLDRPNMITHTFQHCFSDVTLPAYGTESSRFFVDKARARALLGEHYPISQVLFLAMVNWAQNNAYGNIYTIVSRAMLKILTRSGWQIKVIKEAFLTEKERIYLLTLPAGQDDKQQLGGDVVSRTGCPPVAVTTWPLTLPV

The primary physiochemical parameter was performed and amino acid composition was identified (Table 1 and 2). The results show that the ESAI protein was composed of 22 amino acids with different ratios. Among that leucine content was more (11.0%) that indicate the hydrophobic nature of protein because it has an aliphatic isobutyl side chain and also essential amino acid. This indicates the sequence length is 210, and the molecular weight of protein was found to be 23844.39, the protein has 5.96 isoelectric points that represent the protein is acidic in nature and it will help to purify the protein molecule. The number of negative charged residues (Asp + Glu) is 24 and number of positive charged residues (Arg + Lys) is 22. The extinction coefficient was 34170 at 280 nm; it may be probable to avoid interference of other substances. The evaluated value used to determine the quantification of protein-protein or protein-ligand interactions. The quantitative measurement of dynamic equilibrium based on the half-life time. The ESAI protein has 30 hours in mammalian reticulocytes; in yeast have 20 hours and 10 hours in E.coli. The stability of protein was determined by using the instability index (39.46). The aliphatic index characterize that the volume of protein occupied by aliphatic chains (Alanine, valine, isoleucine and leucine), ESAI protein have 89.10 that denoted unstable in high thermal conditions. Grand Average Hydropathicity denoted that the hydrophobicity of amino acid residues. Here ESAI protein has -0.129 had a reasonable interaction with water molecule. The protein molecule has 4 different atoms such as C,H,N,O, and S, molecular formula was C1072H1675N283O313S10.

Table 1: Amino acid composition (%) of acyl homoserine lactone protein computed in protparam:

Amino acids

Numbers

Percentage

Ala (A)

11

5.2 %

Arg (R)

13

6.2 %

Asn (N)

5

2.4 %

Asp (D)

10

4.8 %

Cys (C)

5

2.4 %

Gln (Q)

10

4.8 %

Glu (E)

14

6.7 %

Gly (G)

14

6.7 %

His (H)

3

1.4 %

Ile (I)

11

5.2 %

Leu (L)

23

11.0 %

Lys (K)

9

4.3 %

Met (M)

5

2.4 %

Phe (F)

10

4.8 %

Pro (P)

9

4.3 %

Ser (S)

14

6.7 %

Thr (T)

17

8.1 %

Trp (W)

4

1.9 %

Tyr (Y)

8

3.8 %

Val (V)

15

7.1 %

Pyl (O)

0

0.0 %

Sec (U)

0

0.0 %


 

 

Table 2: Parameters computed using Expasy’s protparam tool

Name

Accession Number

Sequence  length

Mol. Wt

PI

-R

+R

EC

II

AI

GRAVY

ESAI

P54656

210

23844

5.96

24

22

33170

39.46

89.10

-0.129

Mol.wt- Molecular weight; PI- Isoelectric point; -R – number of negatively charged residues; +R – number of positively charged residues; EC – Extinction coefficient at 280 nm; II – Instability Index; AI – Aliphatic Index; GRAVY – Grand average of Hydropathicity.


 

3.3 Secondary Structure of Protein

The secondary structure of ESAI protein was predicted by using SOPMA and SOPM (Table 3). The protein was α helix with other structures such as extended stand, β turn and random coil. Presents the comparative analysis of SOPMA and SOPM. From which it is clear that random coil is mostly present, when the structure was predicted both by SOPMA and SOPM, followed by extended strand and alpha helix. So this protein is stable in nature.


 

Table 3: SOPMA and SOPM

Secondary structure

SOPMA 

SOPM

Alpha helix (Hh)

78 is 37.14%

59 is 28.10%

310 helix (Gg)

0 is 0.00%

0 is 0.00%

Pi helix (Ii)

0 is 0.00%

0 is 0.00%

Beta bridge (Bb)

0 is 0.00%

0 is 0.00%

Extended strand (Ee)

45 is 21.43%

52 is 24.76%

Beta turn (Tt)

9 is 4.29%

17 is 8.10%

Bend region (Ss)

0 is 0.00%

0 is 0.00%

Random coil (Cc)

78 is 37.14%

82 is 39.05%

Ambigous states (?)

0 is 0.00%

0 is 0.00%

Other states

0 is 0.00%

0 is 0.00%

 


 

3.4 Protein Structure Validation

The physiochemical parameters represent the protein primary properties and then the secondary structure was predicted as alpha helical in nature of transmembrane protein in (Fig 1) and then the structure was evaluated by PROTTER and Ramachandran plot represents the protein validation (Fig 2 and 3). The predicted ESAI protein structure was validated by using Ramachandran plot using PROCHECK software that shows the protein molecule contains 198 residues in that 157 amino acid most, 14 amino acids additionally allowed, 0 generally allowed and 0 disallowed regions.


 

 

 image

Figure 1: Pepwheel of 1kzf

 

image

Figure 2: PROTTER Result of Transmembrane region

image

Figure 3: Ramachandran plot

 


 

3.5 Molecular Docking

The ESAI protein (Fig 4), the macromolecule and ligands (isolated compounds of Hemidesmis indices and Amoxicillin) in (Table 4a & 4b) were subjected to docking studies by using online Auto dock server. The software used to runs 10 docking and were shown in (Table 5). the 3D structure of acyl-homoserine lactone synthase (PDB id: 3kzf) were optimized to achieve minimal potential energy using molecular docking server. The minimization values are summarized. Docking simulation of 10 runs of plant compound vanillin was performed for a set of catalytic active site of acyl-homoserine lactone synthase (Fig 5). 

image

Figure 4: ESAI protein (PDB id: 1kzf)

The best docked conformation was selected based on lowest docking energy and binding free energy. Docking score is a measure of interaction of the ligand to the active site of the target.26 More negative values indicate more effective stable conformation of the bound ligand target. Our results suggest that the standard drug Amoxicillin with 1kzf (-4.70 kcal/mol) forms hydrogen bonds ILE 141, hydrophobic interactions are MET 42 and VAL 142, other interactions are MET 42, MET 77, SER 99, PHE 101, PHE 102, THR 140, ILE 141, VAL 142, MET 146. Vanillin with 1kzf (-5.15 kcal/mol) forms polar bonds THR 140, hydrophobic interactions are PHE 101, MET 146, VAL 142, MET 126 and other interactions are SER 98, PHE 123, LEU 150. Hexadecanoic acid with 1kzf (-4.03 kcal/mol) forms polar bond ARG 100, hydrophobic interactions are VAL 67, MET 77, PHE 101, PHE 123, MET 126, VAL 142, MET 146, LEU 150, LEU 176, and other interactions are SER 98, ARG 100, THR 140 respectively. 

The Synthesis and detection of acyl-homoserine lactones (AHLs) enables many gram negative bacteria to engage in quorum sensing, an intercellular signaling mechanism that activates differentiation to virulent and biofilm lifestyles. The AHL synthases catalyze acylation of S-adenosyl-L-methionine by acyl-acyl carrier protein and lactonization of the methionine moiety to give AHLs. The crystal structure of the AHL synthase, Esal, determined at 1.8 A resolution, reveals a remarkable structure similarity to the N-acetyltransferases and defines a common phosphopantetheine binding fold as the catalytic core. The molecular docking analysis revealed that the active compounds from Hemidesmus indices fits appropriately within the active site of AHLs synthase, exhibiting favorable binding energy. Among that other parameters, confirming the stability and suitability of the interaction.


 

  

 

Table 4a: Standard Drug (Amoxicillin)

S.No

Name

Mol. Structure

 

1

 

Amoxicillin 

image

 

Table 4b: Plant compounds identified by GC-MS

S.No

Name of the compound

Mol. Formula

Mol. Weight

Mol. Structure

 

1

 

Vanillin

 

C8H8O3

 

152

image

 

2

 

Hexadecanoic acid

 

C16H32O2

 

256

 

 

 image

 

Table 5: Interacting residues responsible for docking

Docking result

Est. free energy of binding

Est. inhibition of constant, Ki, µM

vdW + Hbond + desolv energy

Electrostatic energy

Total intermole energy

Frequency

Interact surface

Amoxicillin (Drug) with 1kzf

-4.70 kcal/mol

357.67

-5.47 kcal/mol

-0.11 kcal/mol

-5.58 kcal/mol

20 %

619.632

Vanillin with 1kzf

-5.15 kcal/mol

167.39 

-5.25 kcal/mol

-0.03 kcal/mol

-5.28 kcal/mol

100%

420.442

Hexadecanoic acid with 1kzf

-4.03 kcal/mol

1.10

-7.67 kcal/mol

-0.20 kcal/mol

-7.87 kcal/mol

10 %

642.461

 

imageimage

a) Docking interactions of standard drug Amoxicillin with 1kzf

imageimage

b) Docking interactions of vanillin with 1kzf

imageimage

c) Docking interactions of Hexadecanoic acid with 1kzf

Figure 5: Docking interactions of a) vanillin, b) Hexadecanoic acid with active sites of 1kzf

 


 

4. CONCLUSION

acyl-homoserine lactone synthase plays a vital role in oral biofilm, a detailed study of the physiochemical characteristics helps to understand its role in oral biofilm. The physiochemical parameters also supported the protein properties, and then the protein undergoes with pock finder to elucidate the sites which were ready to docking studies with ligand. In other hand the Hemidesmis indicus containing organic compounds were interacting with the acyl-homoserine lactone synthase protein and provide better scoring compare to that of standard drug of amoxicillin by using Auto dock. This study proves that vanillin present in Hemidesmus indices enhanced the oral biofilm. This study reveals that vanillin and hexadecanoic acid, a compound with various therapeutic properties, shows promise as an inhibitor against the AHLs synthase enzyme. The results from the conducted analysis offer significant insights that could assist in the development of novel inhibitors aimed at managing biofilm formation and antibiotic resistance. 

Acknowledgement: The authors thank the Kamaraj Women’s College, Thoothukudi, for supporting this study.

Authors Contributions: Each author has given considerable and equal contributions to this research

Conflicts of Interest: The authors have given considerable and equal contributions to this research.

Authors Funding: Not applicable

Ethical Approval: Not applicable

REFERENCES:

1. Lopez D, Vlamakis H & Kolter R, Biofilms, Cold Spring Harbor: Perspectives in Biology, 2009; 2 (3):370-378 https://doi.org/10.1101/cshperspect.a000398 PMid:20519345 PMCid:PMC2890205

2. Archer NK, Mazaitis MJ, Costerton JW, Leid JG, Powers ME, Shirtliff ME, Staphylococcus aureus biofilms: properties, regulation, and roles in human disease, Virulence, 2011; 2:445-459 https://doi.org/10.4161/viru.2.5.17724 PMid:21921685 PMCid:PMC3322633

3. Shweta N, Prakash SK, Dental abscess: A microbiological review, Dent Res J (Isfahan) 2013; 10:585-591

4.Joshi A, Lad H, Sharma H, Bhatnagar D, Evaluation of phytochemical composition and ant oxidative, hypoglycemic and hypolipodaemic properties of methanolic extract of Hemidesmus indicus roots in streptozotocin-induced diabetic mice, Clin PhytoSci, 2018; 4:7 https://doi.org/10.1186/s40816-018-0064-0

5. Nagarajan S, Rao LJ. Determination of 2-hydroxy-4-methoxybenzaldehyde in roots of Decalepis hamiltonii (Wight and arn) and Hemidesmus indicus R. Br, J AOAC Int, 2003; 86:564-567. https://doi.org/10.1093/jaoac/86.3.564 PMid:12852577

6. Arnold K, Boardoli L, Schwede T, The SWISS-MODEL workspace: A web-based environment for protein structure homology modelling, Bioinformatics, 2006; 22:195-201 https://doi.org/10.1093/bioinformatics/bti770 PMid:16301204

7. Gill SC, Von Hippel PHH, Calculation of protein extinction coefficients from amino acid sequence data, Anal Biochem, 1989; 182: 319-326 https://doi.org/10.1016/0003-2697(89)90602-7 PMid:2610349

8. Bachmair A, Finley D, Varshavsky A, In-vivo-half-life of a protein is a function of its amino terminal residue, Science, 1986; 234:179-186 https://doi.org/10.1126/science.3018930 PMid:3018930

9. Gonad DK, Bachmir A, Wuning I, Tobias JW, Lane WS, Varshavsky AJ, University and structure of the N-end rule, J Biol Chem, 1989; 264:16700 16712 https://doi.org/10.1016/S0021-9258(19)84762-2 PMid:2506181

10. Tobias JW, Shrader TE, Rocap, Varshavsky A, The N-end rule in bacteria, Science 1991; 254:1374-1377 https://doi.org/10.1126/science.1962196 PMid:1962196

11. Ciechanover A, Schwartz AL, how are substrates recognized by the ubiquitin mediated proteolytic system, Trends Biochem, Sci, 1989; 14:483-488 https://doi.org/10.1016/0968-0004(89)90180-1 PMid:2696178

12. Ikai A, Thermostability and aliphatic index of globular proteins, J Biochem, 1980; 88: 1895-1898

13. Kyte J, Doolittle RF, a simple method for displaying the hydropathic character of a protein, J Mol Biol 1982; 157:105-132 https://doi.org/10.1016/0022-2836(82)90515-0 PMid:7108955

14. Comber C, Blanchet C, Geourijon C, Deleage G, NPS @ Network protein sequence Analysis, Trends Biochem Sci 2000; 25:147-150 https://doi.org/10.1016/S0968-0004(99)01540-6 PMid:10694887

15. Hirokawa T, Boon-chieng S, Mitaku S, SOSUI classification and secondary structure prediction system for membrane proteins, Bioinformatics, 1998; 14:378-379 https://doi.org/10.1093/bioinformatics/14.4.378 PMid:9632836

16. Ramachandran GN, Sasikharan V, Conformation of polypeptides and proteins, Adv Prot Chem, 1968; 23:283-437 https://doi.org/10.1016/S0065-3233(08)60402-7 PMid:4882249

17. Kiefer F, Arnold K, Kunzli M, Bordoli L, Schwede T, The SWISS-MODEL repository and associated resources, Nucleic Acids Res, 2009; 37: D387-D392 https://doi.org/10.1093/nar/gkn750 PMid:18931379 PMCid:PMC2686475

18. Lovell SC, Davis IW, Arendall B, De Bakker PIW, Word M, et al., Structure validation by Cά geometry: φ, ψ and Cβ deviation, Proteins: Struct Funct, Gen, 2002; 50:437-450 https://doi.org/10.1002/prot.10286 PMid:12557186

19. Laskowski FA, Fullmannn JA, Mac Arthur MW, Kaptein R, Thornton JM, AQUA and PROCHECK-NMR: programs for checking the quality of protein structures solved by NMR, J Biomol, NMR, 1996; 8:477-486 https://doi.org/10.1007/BF00228148 PMid:9008363

20. Vriend G, WHAT IF: A molecular modelling and drug design program, J Mol Graph, 1990; 8:52-56 https://doi.org/10.1016/0263-7855(90)80070-V PMid:2268628

21. Morris GM, Goodsell DS, Halliday RS, Huey R, Hart WE, et al., Automated docking using a Lamarckian genetic algorithm and an empirical binding free energy function, J Comput Chem, 1998; 19(14):1639-1662 https://doi.org/10.1002/(SICI)1096-987X(19981115)19:14<1639::AID-JCC10>3.0.CO;2-B

22.Mickymaray S, AI Aboody MS, Rath PK, Annamalai P, Nooruddin T, Screening and antibacterial efficacy of selected Indian medicinal plants, Asian Pac J Trop Biomed, 2016; 6:185-191 https://doi.org/10.1016/j.apjtb.2015.12.005

23. Bikadi Z, Demmko L, and Hazai E, Functional and structural characterization of a protein based on analysis of its hydrogen bonding plot, Arch. Biochem, Biophys, 2007; 461: 225-234 https://doi.org/10.1016/j.abb.2007.02.020 PMid:17391641

24. Garrett M. Morris, David S, Goodsell, Robert S. Halliday, Ruth Huey, William E. Hart, Richard K, Belew, Arthur J, Olson, Automated docking using a Lamarckian genetic algorithm and an empirical binding free energy function. Journal of Computational Chemistry, 1998; 19(14):1639-1662 https://doi.org/10.1002/(SICI)1096-987X(19981115)19:14<1639::AID-JCC10>3.0.CO;2-B

25. Solis FJ, and Wets RJB, Minimization of Random Search Techniques. Mathematics of Operations Research, 1981; 6(1): 19-30 https://doi.org/10.1287/moor.6.1.19

26. Inbathamizh L, Padmini E, In-Silico studies on the inhibitory effects of calcitriol and 5,5'-dithiobis-2-nitrobenzoic acid on human glucosaminyl n-acetyl transferase 1 activity, Asian J Exp, Biol Sci, 2021; 3(1):4-21