
This study develops a new estimation method within the system dynamics (SD) framework, incorporating fractional calculus (FC) to conduct a sensitivity analysis on photovoltaic capacity growth in Mexico. The primary goal is to address the need to model energy transitions accurately and realistically, considering Mexico's advantages in renewable energy, particularly solar power. The study explores the use of FC to improve the precision of simulations and provide valuable insights into the growth of photovoltaic installations under different market conditions and policies.
The methodology is structured in three phases. Initially, an exponential growth model is developed to simulate the early stage of photovoltaic capacity expansion, incorporating key variables such as public investment, subsidies, and the effects of rural loss on the adoption of renewable technologies. In the second phase, a sigmoidal growth model is applied to represent more realistic capacity limits, considering market saturation and structural limitations. The differential equations governing the growth were solved using the conformable derivative, which captures the complexity of the system's dynamics, including memory effects.
The sensitivity analysis performed on both the exponential and sigmoidal models reveals that the fractional parameter α=0.8652 provides the best fit to the actual data from 2015 to 2023, reducing the average error to 16.52%. Projections for the period from 2023 to 2030 suggest that Mexico's installed photovoltaic capacity could range between 23,000 and 25,000 MW, with α values varying between 0.8 and 1, aligning with the expected market dynamics and national energy goals.
This study emphasizes the importance of using system dynamics combined with FC as an innovative tool for energy planning in Mexico. The ability to simulate multiple scenarios and perform sensitivity analyses is crucial for optimizing energy resources, designing policies that promote renewable technologies, and ensuring a successful transition to a sustainable energy future.
Citation: Jorge Manuel Barrios-Sánchez, Roberto Baeza-Serrato, Leonardo Martínez-Jiménez. Analysis of installed photovoltaic capacity in Mexico: A systems dynamics and conformable fractional calculus approach[J]. AIMS Energy, 2025, 13(2): 402-427. doi: 10.3934/energy.2025015
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This study develops a new estimation method within the system dynamics (SD) framework, incorporating fractional calculus (FC) to conduct a sensitivity analysis on photovoltaic capacity growth in Mexico. The primary goal is to address the need to model energy transitions accurately and realistically, considering Mexico's advantages in renewable energy, particularly solar power. The study explores the use of FC to improve the precision of simulations and provide valuable insights into the growth of photovoltaic installations under different market conditions and policies.
The methodology is structured in three phases. Initially, an exponential growth model is developed to simulate the early stage of photovoltaic capacity expansion, incorporating key variables such as public investment, subsidies, and the effects of rural loss on the adoption of renewable technologies. In the second phase, a sigmoidal growth model is applied to represent more realistic capacity limits, considering market saturation and structural limitations. The differential equations governing the growth were solved using the conformable derivative, which captures the complexity of the system's dynamics, including memory effects.
The sensitivity analysis performed on both the exponential and sigmoidal models reveals that the fractional parameter α=0.8652 provides the best fit to the actual data from 2015 to 2023, reducing the average error to 16.52%. Projections for the period from 2023 to 2030 suggest that Mexico's installed photovoltaic capacity could range between 23,000 and 25,000 MW, with α values varying between 0.8 and 1, aligning with the expected market dynamics and national energy goals.
This study emphasizes the importance of using system dynamics combined with FC as an innovative tool for energy planning in Mexico. The ability to simulate multiple scenarios and perform sensitivity analyses is crucial for optimizing energy resources, designing policies that promote renewable technologies, and ensuring a successful transition to a sustainable energy future.
The prevalence of non-communicable diseases diabetes is increasing at an alarming rate. In 2015, it was predicted that 422 million individuals would develop diabetes mellitus (DM) [1]. By 2035, it is expected that this figure will double [1]. The incidence of diabetes on a global scale is a serious public health issue; it has either caused or aggravated numerous clinical conditions, such as hypertension, heart disease, excessive cholesterol, cancer, and dementia [2].
The need to discover new antimicrobial compounds is being increasingly recognized in this age of antibiotic resistance [3]. There is a growing need for novel chemicals with direct antibacterial or indirect action that enhances the resistance mechanism of microorganisms, since infectious illnesses continue to be a major public health concern. Plants' natural products are crucial to the search for new therapeutic medicines [4].
Plants are employed either directly or indirectly in the composition of 25% of today's medications, many of which are made from medicinal plants [4]. In recent years, the potential for the treatment of numerous diseases with medicinal plants has been a growing [5]. The treatment of diseases from plant products are risk free, less toxic, and inexpensive [6].
Natural products obtained from plants are known to be alternative forms of medicine and have gained a lot of attention. For improvement of health statuses and the treatment of diverse ailments, a great percentage of people all over the world rely on natural products derived from plant parts [7]. As a medical substance, medicinal plants play an essential role in pharmacological research, disease treatment and prevention, and as raw materials for the creation of pharmacologically active products [8].
Pharmacokinetic variables are increasingly being incorporated into drug discovery procedures using computer-based methodologies [9]. A chemical with both a high potency and a favorable chemical absorption, distribution, metabolism, excretion, and toxicity (ADMET) profile is considered a potential lead compound. Therefore, regardless of their great potency, drugs with unimpressive projected ADMET profiles can be quickly removed from the pool of potential therapeutic candidates [10]. The use of computational approaches in medical synthetic chemistry has become commonplace; however, its application in the study of natural chemicals has not received enough attention.
There are 131 genera and about 5500 species in the Myrtaceae family, all of which are woody trees or shrubs and have essential oils [11]. Several family members are commercially well-known for their therapeutic essential oils [11]. E. camaldulensis, which is a species of the Myrtaceae family, is commonly used to treat stomach ailments in Nigeria.
Moreover, a decoction made from the leaves is claimed to be effective against urinary tract infections, respiratory tract infections, and sore throats caused by bacteria. A poultice produced from the leaves is used to treat wounds and sores [12]. The anti-tubercular effect of the essential oils extracted from the leaves has led to their usage in the treatment of lung ailments [12]. With its infusions, one can treat gastrointestinal problems, respiratory problems, halt bleeding, heal cuts and open wounds, and relieve aches and pains in the muscles, joints, and teeth [13]. Bacterial infections and inflammatory-related disorders are traditionally cured with an extract made from the leaves [14]. The plant is extensively utilized in traditional treatments for colds, asthma, diarrhea, dysentery, laryngitis, and sore throats [15]. Previously, there was antimicrobial investigation on E. camaldulensis [12],[16],[17]. Antibiotic-resistant diseases cost approximately up to $29,069 per patient and can lead to an extended length of treatment. Therefore, there is a need to find cutting-edge, natural, antimicrobial drugs and treatments [14].
The aim of this study is to use various in vitro biological models in combination with in silico analysis to enhance the current literature. This involves assessing the antioxidant, anti-diabetic, and antibacterial properties alongside specific in silico methods to predict the drug-likeness, pharmacokinetic behavior, and binding effectiveness of the identified phytochemicals extracted from E. camaldulensis leaves.
E. camaldulensis leaves samples (Figure 1) were gathered from outdoor areas, field gardens, and backyard gardens; subsequently, herbarium specimens were made. After the verification of the plant's identity by a qualified taxonomist, the plants were donated to the Ahmadu Bello University Herbarium in Zaria with the following assign voucher number: ABU02510. The World Flora Online (WFO) https://www.worldfloraonline.org/ was utilized to authenticate the species name.
The leaves were washed under running water to get rid of any remaining dirt, stains, or latex. A grinding machine was employed to pulverize the dehydrated samples into a fine powder. The powdered plant samples were quantified by weighing 100 g of the sample. The Soxhlet technique was used to extract ethanol and an aqueous layer from the plant leaves.
A Whitman No. 1 filter was used to filter the extraction's result. Both the ethanol and aqueous plant leaf samples were crudely extracted using the E-Z-2-Elite evaporation apparatus. For the ethanol and aqueous extracts, the solvent pressure was set to 72 and 300, respectively, and the vacuum was set to 40 °C [18]. The extracts were dried in a refrigerated vacuum oven at 40 °C until they reached a uniform mass, after which they were concentrated with a rotary evaporator and weighed with an electronic balance [19]. The weight of the crude yield is derived by the following simple calculation: Yield % = Extraction yield (%) = F1/F2 × 100, where F1 is the mass of the crude extract and F2 is the mass of the sample [20].
Freshly cut E. camaldulensis leaves were extracted in a Clevenger device under reflux for 4 hours. Then, the resulting essential oil (EO) was extracted with dichloromethane, the organic phase was separated and dried with anhydrous sodium sulphate, filtered, and stored in an airtight flask at a low temperature (−10 °C) [21]. This method was carried out in triplicate and the percent yield was computed in relation to the dried mass of the initial sample.
Seven different concentrations of ethanol, aqueous, and EO of the leaves were subjected to a 100 g mL−1 (0.004% w/v) DPPH methanol solution to determine its effect. For 30 minutes, the solution was allowed to sit undisturbed at room temperature and without light. Comparisons were made using quercetin as a standard [22]. The calculation for the radical scavenging activity is as follows:
% Inhibition = [(Bo − B1)/Bo)] × 100
where B1 is the sample absorbance (517 nm) and Bo is the control absorbance (517 nm) reaction.
A mixture of acetate buffer (B, 300 mM), 2,4,6-tri (2-pyridyl) -S-triazine (TPTZ, 10 mM) in HCl (40 mM), and iron chloride (FeCl3, 20 mM) were heated in a water bath for 10 minutes at 37 degrees Celsius. Following a 30-minute incubation at room temperature in the dark, 285 L of a FRAP working solution (100 µg/g mL concentrations) was added to 15 µL of ethanol, aqueous, or EO (100%) extracts of the leaf samples [22].
50 µL of 0.1 M phosphate buffer (pH 7.0) was combined with 10 µL of the ethanol, aqueous, or EO extracts of the leaves at 100 µg/mL. 25 L of α-glucosidase (Sigma Aldrich) in buffer (0.2 U/mL) was placed onto a well plate to initiate the reaction. A 25 µL sample of 0.5 mM 4-nitrophenyl alpha-Dglucopyranoside (pNPG) substrate was added to complete the reaction, which was then incubated for an additional 30 minutes at 37 °C [23]. The process was stopped by introducing 100 µL of a 0.2 M sodium carbonate solution. Acarbose at 100 µg/mL was used as a positive control. The absorbance was determined at 410 nm. The percent inhibition was calculated using the following formula:
Inhibition (%) = [Control abs – sample abs)/control abs] × 100
Gram-positive Pseudomonas aeruginosa and Gram-negative Staphylococcus aureus bacteria were provided by the biology department of Tishk International University. Mueller Hinton agar plates were streaked with the microbial stock cultures using an inoculation loop, and then the plates were incubated at 37 °C overnight. The following day, they were subcultured again until a new colony was established. After that, they were injected with Mueller Hinton broth and allowed to incubate at 200 rpm overnight [24].
Microbial inoculums containing 1.106 (CFU)/mL were seeded onto 200 µL solidified Mueller-Hinson plates. The plant component (ethanolic, aqueous, and EO) extracts were impregnated with 20 µL of 4000 µg/mL on Whatman No. 1 filter paper discs (6 mm). Using sterile forceps, the impregnated disk was positioned on the plates. The plates were incubated at 37 °C for 24 hours [24].
Components of the EOs were analysed by means of gas chromatography linked to mass spectrometry (GC-MS, Shimadzu/QP2010) with an OV-5 bonded capillary column (30 m 0.25 mm 0.25 m film thickness). The propellant gas was helium, and the flow rate was 1 mL/min. Temperatures of 220 and 240 °C were reached in the injector and detector, respectively. 1.0 µL was injected at a split ratio of 1: 20. The oven temperature was set to gradually increase from 60 °C to 240 °C at a rate of 3 °C/min with 1 min hold. The collected pieces had velocities ranging from 40 to 650 m/z and an electron impact energy of 70 eV [21].
The experiments were performed in a completely randomized manner, with three replicates of each treatment, and the statistical analyses were performed using the Statistical Analysis System (SAS) for data analysis (University version 9.4). After performing a one-way repeated-measures analysis of variance (ANOVA) [25], a post-hoc test, namely Duncan's multiple range test, was employed to evaluate if there were any statistically significant differences between the group means at the p ≤ 0.05 level.
Antidiabetic properties of the phytochemicals isolated from E. camaldulensis were investigated in a docking study against the α-glucosidase enzyme (Protein Data Bank (PDB): 3A4A). The selection of the 3A4A PDB structure was made considering several factors, including its crystallization with an inhibitor to compare with docked ligands, a resolution of less than 2 Å, and the absence of mutations. The protein was obtained and downloaded as a PDB file from the following: https://www.rcsb.org/. Chimera software tools [26] were used to remove the native ligand present in the PDB structure of the protein.
The 1D structures of the isolated phytochemicals and the four controls including the native inhibitor, alpha-D-glucopyranose, were retrieved from the PubChem Search database as strings of canonical smiles. To facilitate the analysis, the smile sequences were converted into 3D PDB files using a web server known as CORINA, https://demos.mn-am.com/corina.html.
The CB-Dock server automatically optimizes the ligand input files as reported by [27]. CB-Dock is a docking tool for protein-ligand interactions that automatically detects the binding sites, determines their center and size, adjusts the docking box dimensions based on the query ligands, and subsequently conducts molecular docking using the AutoDock Vina software, v1.2.5 [28]. The docking process consists of three steps: Search Cavities, View Results, and BlindDock. The active site parameters for docking included a Cavity Volume of 2996 Å3, with the center coordinates of X = 15, Y = −14, and Z = 16. The generated poses were evaluated and visualized using the CB-Dock server and Chimaera software tools.
The inhibition constant (Ki) was calculated using the following formula: Ki = exp(ΔG/RT), where ΔG is the binding energy, R is the universal gas constant (1.985 × 10−3 kcal mol−1 K−1), and T is the temperature (298.15 K).
A molecular dynamics (MD) simulation was performed using the CABS Flex 2.0 server [29] for α-glucosidase (without ligands) and α-glucosidase-5.alpha.-androstan-16-one complex to calculate the root mean square fluctuation (RMSF) values. The parameters used were as follows: Time, 10 ns; Mode, SS2; Interval, 3; Global weight, 1.0; Number of cycles, 50; Cycles between trajectory frames, 50; Simulation temperature, 1.4; and Random number generator seed, 5546.
The SMILES strings of the 5.alpha.-Androstan-16-one compound were obtained from PubChem (http://pubchem.ncbi.nlm.nih.gov/). Next, we calculated the drug-likeness parameters of the analyzed compound using the SwissADME online webserver (http://www.swissadme.ch/index.php). The bioactivity score for an enzyme inhibitor was determined through the utilization of the Molinspiration server located at http://www.molinspiration.com/cgi-bin/properties. The prediction of hepatotoxicity toxicity was conducted using pkCSM, which is a server that predicts the toxicity of small molecules, https://biosig.lab.uq.edu.au/pkcsm/prediction.
The aqueous extract of Eucalyptus camaldulensis leaves had a greater yield of 0.87% compared to the ethanol extract and EO, which had yields of 0.65% and 0.48%, respectively (Figure 2).
Table 1 displays the inhibitory effects of the ethanol, aqueous, and EO extracts of E. camaldulensis leaves using the DPPH radical scavenging method. The highest inhibition was recorded from the EO at 84 % (Table 1 and Figure 3). The highest capacity to convert Fe3+ to Fe2+ was noted for the aqueous leaves extract, even when compared to the standard used (Figure 4). The result exhibits a significant difference among the examined treatments. The principal enzyme in charge of catalysing the final stage of carbohydrate digestion is α-glucosidase. The highest level of α-glucosidase activity for the leaf EO was reported to have an inhibitory value of 78 % (Table 1). The tested extract demonstrated a substantial zone of inhibition against the tested strains of Staphylococcus aureus and Pseudomonas aeruginosa. The EO exhibited the highest zone of inhibition at 12 mm and 14 mm for Staphylococcus aureus and Pseudomonas aeruginosa, respectively. These values were greater than the zone of inhibition observed for ampicillin at 9 mm and 6 mm for S. aureus and P. aeruginosa, respectively (Figure 5). A statistically significant difference was found between the treatments at p ≤ 0.05. Due to the significant activity of the EO, it underwent further examination of its chemical makeup using GCMS.
S/N | Plant part/extract | % of inhibition of DPPH | FRAP Fe2+/(mmol/g) | % of inhibition of α-glucosidase | Zone of inhibition Staphylococcus aureus (mm) | Zone of inhibition Pseudomonas aeruginosa (mm) |
1 | Ethanolic Leaves | 75.1 ± 1.0b | 12.9 ± 2c | 60 ± 0.2c | 10 b, c | 8 b |
2 | Aqueous Leaves | 69.3 ± 03c,d | 10.4 ± 4d | 63 ± 1.0b | 6 d | 6 c, d |
3 | Essential oil | 84.01 ± 01a | 20.1 ± 1a | 78 ± 2.1a | 12a | 14 a |
4 | Quercetin/Acarbose | 70.04 ± 2.0c | 15.8 ± 1b | 54 ± 0.1d | ||
5 | Ampicillin (10 µg) | 9 c | 6 d |
Note: The numbers represent the means and standard deviations of three separate experiments, each of which was carried out three times. Vertically similar alphabets do not statistically differ at the p ≤ 0.05 level.
Table 2 exhibits the spectra of the EOs identified components (mass spectrum of each compound of the EO are presented in Supplementary Table S2). The EO was broken down into its 42 constituent compounds with 99 .9 % of the EO (Figure 6). There was a dominance of cis-11-Hexadecenal (10.2%), trans-13-Octadecenoic acid (9.5%), and 6-Octadecenoic acid, methyl ester, (Z)- (8.8 %), with the rest having 7 to 0. 1 %, respectively (Table 2).
S/N | RT | Area | Compound | Molecular structure |
1 | 6.9295 | 0.5058 | Furan, 2,5-dihydro-3-methyl- | ![]() |
2 | 7.6833 | 1.4124 | 6-Tridecene, 7-methyl- | ![]() |
3 | 8.1449 | 1.147 | dl-Lysine | ![]() |
4 | 8.4441 | 1.1377 | 3-Cyclohexylthiolane,S,S-dioxide | ![]() |
5 | 8.6201 | 0.9649 | 1-Isopropoxy-2,2,3-trimethylaziridine | ![]() |
6 | 8.7722 | 0.6063 | Furan, 2,5-dihydro-3-methyl- | ![]() |
7 | 8.8871 | 0.982 | 1H-Cyclopropa[a]naphthalene, 1a,2,3,5,6,7,7a,7b-octahydro-1,1,7,7a-tetramethyl-, [1aR-(1a.alpha.,7.alpha.,7a.alpha.,7b.alpha.)]- | ![]() |
8 | 9.068 | 8.0481 | Aromandendrene | ![]() |
9 | 9.5046 | 4.099 | Alloaromadendrene | ![]() |
10 | 9.7889 | 1.7229 | 5.alpha.-Androstan-16-one | ![]() |
11 | 10.329 | 2.5538 | (1S,2E,6E,10R)-3,7,11,11-Tetramethylbicyclo[8.1.0]undeca-2,6-diene | ![]() |
12 | 11.2245 | 0.3508 | Dodecanoic acid, methyl ester | ![]() |
13 | 11.8237 | 0.2395 | 1-Methylene-2b-hydroxymethyl-3,3-dimethyl-4b-(3-methylbut-2-enyl)-cyclohexane | ![]() |
14 | 12.153 | 0.5436 | 1H-Cycloprop[e]azulen-7-ol, decahydro-1,1,7-trimethyl-4-methylene-, [1ar-(1a.alpha.,4a.alpha.,7.beta.,7a.beta.,7b.alpha.)]- | ![]() |
15 | 12.3177 | 3.3133 | Azulene, 1,2,3,3a,4,5,6,7-octahydro-1,4-dimethyl-7-(1-methylethenyl)-, [1R-(1.alpha.,3a.beta.,4.alpha.,7.beta.)]- | ![]() |
16 | 12.6917 | 0.8741 | Naphthalene, decahydro-4a-methyl-1-methylene-7-(1-methylethenyl)-, [4aR-(4a.alpha.,7.alpha.,8a.beta.)]- | ![]() |
17 | 12.9604 | 0.2569 | 1-Tetradecene | ![]() |
18 | 13.1784 | 1.1556 | 2-Naphthalenemethanol, 2,3,4,4a,5,6,7,8-octahydro-.alpha.,.alpha.,4a,8-tetramethyl-, [2R-(2.alpha.,4a.beta.,8.beta.)]- | ![]() |
19 | 13.9033 | 1.1754 | 3-Tetradecanynoic acid | ![]() |
20 | 14.1865 | 0.5571 | Methyl 10-oxo-8-decenoate | ![]() |
21 | 14.9428 | 0.1751 | 9-Hexadecenoic acid, octadecyl ester | ![]() |
22 | 15.4386 | 2.6144 | cis-Z-α-Bisabolene epoxide | ![]() |
23 | 17.0159 | 0.604 | Alpha-Phellandrene | ![]() |
24 | 17.3444 | 0.1292 | Gamma-Terpinene | ![]() |
25 | 19.8713 | 1.4356 | 13-Octadecenal, (Z)- | ![]() |
26 | 20.0676 | 1.31 | 1,2-Benzenedicarboxylic acid, butyl 2-ethylhexyl ester | ![]() |
27 | 21.5497 | 1.3177 | l-(+)-Ascorbic acid 2,6-dihexadecanoate | ![]() |
28 | 21.9975 | 1.6346 | 7-Hexadecenal, (Z)- | ![]() |
29 | 22.9324 | 7.7147 | 9,12-Octadecadienoic acid, methyl ester | ![]() |
30 | 23.0931 | 8.8599 | 6-Octadecenoic acid, methyl ester, (Z)- | ![]() |
31 | 23.4822 | 3.9623 | 9-Hexadecenoic acid | ![]() |
32 | 23.6908 | 1.2546 | Methyl stearate | ![]() |
33 | 24.342 | 1.8422 | 1,19-Eicosadiene | ![]() |
34 | 24.5097 | 1.5373 | 9-Tetradecenal, (Z)- | ![]() |
35 | 30.3053 | 0.5913 | 15-Hydroxypentadecanoic acid | ![]() |
36 | 31.6831 | 0.7238 | E-9-Tetradecenal | ![]() |
37 | 32.9886 | 10.3582 | 13-octadecadienol | ![]() |
38 | 33.1566 | 2.9289 | cis-Vaccenic acid | ![]() |
39 | 33.3425 | 4.5968 | trans-13-Octadecenoic acid | ![]() |
40 | 35.8604 | 0.8797 | 13-octadecadienol | ![]() |
41 | 35.971 | 1.2193 | Eicosane | ![]() |
42 | 38.4646 | 10.2357 | cis-11-Hexadecenal | ![]() |
Note: S/N = Serial number, RT = Retention time.
The results of the in vitro experiment showed a high possibility that the leaf extracts of E. camaldulensis inhibited the α-glucosidase enzyme. This motivated us to evaluate the potential inhibitory role of the phytochemicals of E. camaldulensis and to identify the binding affinity value for each compound. It is crucial to validate the docking protocol to ensure the precision of the docking process. Therefore, the co-crystallized ligand, namely alpha-D-glucopyranose, was eliminated from the α-glucosidase PDB structure. Subsequently, a new alpha-D-glucopyranose was generated by the CORINA server as descried in the methods and used to redock the PDB structure. The CABS Flex 2.0 server effectively re-docked the newly generated ligand into the active site of α-glucosidase (Figure 7), resulting in interactions similar to those observed in the original structure. Despite using blind docking and not specifying the active site, a good match between the docking structure and the original PDB structure was obtained, indicating the docking accuracy.
The phytochemicals isolated from the E. camaldulensis leaves (Table 2) were subjected to docking studies to estimate their antidiabetic effects against α-glucosidase, as illustrated in Table 3 and Figure 8. Additionally, the inhibition constant (Ki) was calculated based on the binding energy (ΔG) using the formula mentioned in the methods section. The results of the docking analysis revealed that the 5.alpha.-Androstan-16-one compound exhibited significant binding affinities towards α-glucosidase compared to other phytochemicals. The two compounds mentioned above produced higher binding affinities compared to the controls, with scores of −8.6 and −8.5 Kcal/mol, respectively, as presented in Table 3. Quercetin exhibited the highest binding affinity among the five controls, with a score of −8.6 Kcal/mol. This score is comparable to the scores obtained by 5.alpha.-Androstan-16-one. A further analysis was conducted on 5.alpha.-Androstan-16-one due to its strong interaction with α-glucosidase. The analysis showed that the compound could interact with the enzyme via 11 amino acids (TYR158, GLN279, PHE303, ASP307, PRO312, LEU313, PHE314, ARG315, ASP352, GLN353, GLU411, and ARG442), as shown in Figure 8.
Compound | PubChem CID | Docking Score | Inhibition constant Ki (µM) |
alpha-D-glucopyranose (Native Inhibitor) | 79025 | −6.2 | 27.5 |
Quercetin | 5280343 | −8.6 | 0.5 |
Acarbose | 41774 | −8.3 | 0.8 |
Miglitol | 441314 | −5.8 | 55.4 |
Voglibose | 444020 | −6.4 | 20.3 |
Phytochemicals of Eucalyptus camaldulensis that gave best scores | |||
5.alpha.-Androstan-16-one | 13963520 | −8.6 | 0.5 |
A MD simulation of 10 ns was conducted utilizing the CABS-flex 2.0 server in order to determine the RMSF values for the α-glucosidase-5.alpha.-Androstan-16-one complex, as shown in Figure 9. The fluctuation of atoms throughout the simulations provides insight into the flexibility and stability of various protein residues. A higher RMSF value for the residues suggests an increased flexibility of the amino acid, while lower fluctuations suggest restricted movements during the MD simulation. The fluctuation in the complex was found in the acceptable range between 1 and 3 Å, indicating that there is no binding effect of 5α-androstan-16-one on the α-glucosidase enzyme. The LYS127, ALA145, and SER574 residues exhibited fluctuations higher than 3 Å; however, these exceptions were found outside the active site and did not impact the binding to the ligands. In multiple regions within the active site, 5α-androstan-16-one enhanced the rigidity of the enzyme and improved the stability of binding, as shown in the dashed line box.
The promising phytochemical, namely 5.alpha.-Androstan-16-one, underwent evaluation to determine its potential as a drug that can be taken orally by humans, in accordance with Lipinski's rule of five (RO5), and was assessed for the ADMET parameters. The compound successfully met Lipinski's rule of five, with only one violation observed due to MLOGP > 4.15. The compound showed a high gastrointestinal absorption. In regard to its solubility, 5.alpha.-Androstan-16-one exhibited a moderate solubility. The compound received enzyme inhibitor scores of 0.34, with neither showing any hepatotoxicity.
The yield varied greatly according to the extraction solvents (Table 1). The solvent's ability to extract more compounds from the samples may account for the high yield found in the aqueous extracts. The findings are consistent with Poojary et al. [30], who observed a significant yield of extract from the root and bark using an aqueous extraction method, with a reported yield of 10.43%. The extraction process, solvent type, chemical type, and metabolite polarity were the main factors that influenced the yield extract variance between the medicinal plant parts [18]. Choosing the appropriate extraction solvent is significant to obtain a higher yield of compounds. A diverse number of solvents, such as aqueous diethyl ether, ethanol, hexane, methanol, and chloroform, has previously been used to extract bioactive substances in plant parts [31]. Each bioactive compound has a different solubility in specific solvents. Therefore, the correct choice of organic solvent is significant to recover different forms of compounds. It is necessary to select solvents that are safe for use in the industrial production processes.
In terms of the radical scavenging activity, the high activity of the EO might because the plant is known to be highly aromatic. The Fe3+ complex in tripyridyl-triazine (TPTZ) is reduced to the Fe2+ complex, Fe2+ (TPTZ), which results in a blue colour shift in this process [32]. When compared to their scavenging activity, the antioxidant content of the ethanol, aqueous, and EO extracts did not significantly differ based on their reduction potential. The action of each extract established in the various solvents is explained by the presence of a specific component, such as a hydroxyl group, a methoxyl group, phenolic compounds, flavonoids compounds, or other structures that may be present [18]. The number and type of phytochemical compounds found in the plant extract are solely responsible of the environmental condition [33]. Possible explanations for the observed discrepancy between the DPPH and FRAP assays include differences in the actions or responses of the compounds toward the assay. Multiple studies have conclusively established the importance of oxidative stress in the development and progression of DM [34].
Therefore, antioxidant compounds such as plant polyphenols have been proposed as potential tools in the fight against and the treatment of this disease. The findings of the DPPH and FRAP assays for antioxidant activity led us to infer that the EO extracted from the leaves had the maximum antioxidant activity. More work is needed to isolate the compounds in the leaves' EOs responsible for its antioxidant properties before it can be used therapeutically. The beneficial effects on glucose homoeostasis can be shown in DM patients when these enzymes are inhibited, as less oligosaccharide and disaccharide hydrolysis occurs [35]. Therefore, blocking the α-glucosidase enzyme is a crucial part of diabetes management [36].
All the extracts that showed varying levels of activity against the bacterial strains were tested. An increase in activity was observed with increasing concentrations of both the ethanol and aqueous extract and EO (Table 1). The EO demonstrated a superior action compared to the ethanol and aqueous extracts, as well as the ampicillin standard (Table 1). The results were consistent with the findings of Sabo et al. [13], where the EO derived from E. camaldulensis exhibited an antimicrobial activity against a wide range of Gram-positive bacteria (0.07–1.1%) and Gram-negative bacteria (0.01–3.2%). Consequently, the treatment of bacterial infections necessitated the administration of larger quantities of the oil [16].
E. camaldulensis leaves have long been recommended by traditional herbalists as a potent diabetic treatment, and recent scientific studies have confirmed these assertions. One of the reasons for the high activity of the leaves extracts might be because the secondary metabolites are first produced in the leaves before being transferred to the rest of the plant . The plant's secondary metabolites have crucial roles in disease resistance, pollination, and adaptability. Many aspects of a man's daily life make use of the secondary metabolites produced by the plant's parts. It's common knowledge that these chemical by-products, treated or not, have several biological applications [37].
Forty-two non-polar compounds identified for the EO of the leaves might be responsible for the high antioxidant and alpha glycosidase inhibition activities. Increasing insulin secretion and pancreatic -cell regeneration are two ways in which the following substances have been found to have anti-diabetic effects [38]. Antioxidant and anti-diabetic effects have been observed in secondary metabolites and bioactive phyto-constituents discovered by GC/MS in a wide range of plants [35]. The chemical composition revealed the presence of 41 compounds with a diverse array of pharmacological activities. Compounds such as Aromadendrin have been recorded to possess numerous pharmacological properties, such as anti-inflammatory, antioxidant, and anti-diabetic attributes [39]. Famous for its anti-inflammatory qualities in treating peptic ulcers, azulene also has anti-tumor and anti-retroviral activities against HIV-1, antimicrobial qualities, including antimicrobial photodynamic therapy, and antifungal qualities. Additionally, it has antineoplastic effects in fighting leukemia [40]. Studies revealed that 9-hexadecenoic acid and trans-13-octadecenoic acid had possible anti-inflammatory properties, suggesting a viable substitute for treating a variety of ailments linked to pain and inflammation [41],[42].
The results of the MD analysis revealed that the majority of phytochemicals found in E. camaldulensis exhibited a binding score higher than −6.2 Kcal/mol, where the score was obtained by the native inhibitor, as shown in Supplementary Table S1. Typically, in drug design, the primary criteria for selecting potential candidates involves binding free energy values that are usually lower than −6.0 kcal/mol [43].
The strong inhibition observed by the in silico study aligns with the in vitro findings, where the E. camaldulensis extracts demonstrated inhibition of α-glucosidase activity at a percent inhibition ranging from 60-78 %, which is comparable to the percent inhibition of Quercetin at 84 %. The selection of Quercetin as a positive control in the docking study was based on its use in the in vitro study. Upon comparing the level of inhibition exhibited by Quercetin against α-glucosidase in both studies, it was observed that it achieved a significant degree of inhibition nearly equivalent to the inhibition observed for most of the phytochemicals, particularly the 5.alpha.-Androstan-16-one compound. Our in silico results showed that the compound 5.alpha.-Androstan-16-one displayed a significant inhibitory activity, with a binding affinity of −8.6 Kcal/mol. Interestingly, these scores are consistent with the binding affinity of Quercetin, which recorded −8.6 kcal/mol. Three residues—TYR158, PHE303, and ARG315—formed non-bond pi-alkyl interactions with 5.alpha.-Androstan-16-one. The pi-alkyl interaction was found to improve the hydrophobic interaction of the ligand in the binding pocket of the receptor, ultimately enhancing its affinity [44]. The strong binding affinity seen in the α-glucosidase-5.alpha.-Androstan-16-one complex may be explained by the presence of pi-alkyl interactions. The inhibition constant (Ki) of 5.alpha.-Androstan-16-one showed the lowest value of 0.5 µM, which is similar to that obtained by 0.5 µM Quercetin. It is known that the lower the Ki value, the greater the drug's efficacy [45]. No previous studies were found in the literature that examined the inhibitory activity of 5.alpha.-Androstan-16-one against α-glucosidase.
The MD simulation carried out on the α-glucosidase-5.alpha.-Androstan-16-one complex revealed that the RMSF fluctuation fell within the acceptable range of 1 to 3 Å. This range is considered as the acceptable RMSF criterion to determine protein stability [46]. The results from the MD analysis further demonstrated that the interaction with 5.alpha.-Androstan-16-one led to the enhanced rigidity and stability of α-glucosidase, as evidenced by the reduced RMSF values in various areas of the active site. The correlation between the lower RMSF values and enhanced protein stability was documented by [47]. The terminals of the complex exhibited some high fluctuations, which is a phenomenon that is frequently observed in proteins [48]. The protein termini are often found on the surface of proteins rather than buried in the core, which contributes to the flexibility of the protein terminals [49].
Drugs such as acarbose, miglitol, and voglibose, which were approved by the FDA, frequently cause stomach-related side effects that hinder their use. As a result, the quest for novel, more potent medications with reduced adverse reactions and lower expenses continues to be a focus of research [50]. In a recent study, 5α-androstan-16-one showed a stronger competitive inhibition against α-glucosidase compared to FDA-approved diabetes drugs. This natural compound can be a promising diabetic medication with no or fewer side effects compared to those that are usually present in synthetic drugs. In general, the present study revealed that E. camaldulensis leaves exhibited a wide range of metabolites that significantly played a role in their antioxidant, anti-diabetic, and antimicrobial potential through unknown mechanisms. The study laid a foundation for pharmacological studies on E. camaldulensis. The study suggests that the leaves could be used to make herbal treatments for diabetic people and infectious diseases.
The findings demonstrated that E. camaldulensis has a high antioxidant capacity caused by free radicals and FRAP. Furthermore, E. camaldulensis leaves inhibited α-glucosidase at 78 ± 2.1 %. Based on a GCMS analysis, the following chemicals were found to be dominant: cis-11-hexadecenal (10.2%), trans-13-octadecenoic acid (9.5%), and 6-Octadecenoic acid, methyl ester, (Z)- (8.8%). The compound 5.alpha.-Androstan-16-one exhibited a greater competitive inhibition of α-glucosidase compared to FDA-approved antidiabetic medications such as Acarbose, Miglitol, and Voglibose. 5.alpha.-Androstan-16-one has the potential to serve as an effective treatment for diabetes, offering minimal or no side effects that are commonly associated with synthetic medications. The study suggests that the leaves could be used to make herbal treatments for diabetic people. In order to corroborate our in silico findings, further in vitro and in vivo studies are necessary.
The authors declare that they have not used Artificial Intelligence (AI) tools in the creation of this article.
[1] |
Zhang T, Ma Y, Li A (2021) Scenario analysis and assessment of China's nuclear power policy based on the Paris Agreement: A dynamic CGE model. Energy 228: 120541. https://doi.org/10.1016/j.energy.2021.120541 doi: 10.1016/j.energy.2021.120541
![]() |
[2] |
Li N, Chen W (2019) Energy-water nexus in China's energy bases: From the Paris Agreement to the well below 2 degrees target. Energy 166: 277–286. https://doi.org/10.1016/j.energy.2018.10.039 doi: 10.1016/j.energy.2018.10.039
![]() |
[3] |
Kat B, Paltsev S, Yuan M (2018) Turkish energy sector development and the Paris Agreement goals: A Cge model assessment. Energy Policy 122: 84–96. https://doi.org/10.1016/j.enpol.2018.07.030 doi: 10.1016/j.enpol.2018.07.030
![]() |
[4] |
Nong D, Siriwardana M (2018) Effects on the US economy of its proposed withdrawal from the Paris Agreement: A quantitative assessment. Energy 159: 621–629. https://doi.org/10.1016/j.energy.2018.06.178 doi: 10.1016/j.energy.2018.06.178
![]() |
[5] | Secretaría de Energía (SENER) (2021) Balance Nacional de Energía 2020. México: SENER. Available from: https://www.gob.mx/cms/uploads/attachment/file/707654/BALANCE_NACIONAL_ENERGIA_0403.pdf. |
[6] | Secretaría de Energía (SENER) (2018) Prospectivas del Sector Energético. México: SENER. Available from: https://www.gob.mx/sener/documentos/prospectivas-del-sector-energetico. |
[7] | Secretaría de Energía (SENER) (2019) Balance Nacional de Energía 2018. México: SENER. Available from: https://www.gob.mx/cms/uploads/attachment/file/528054/Balance_Nacional_de_Energ_a_2018.pdf. |
[8] |
Palacios A, Koon RK, Castro-Olivera PM, et al. (2024) Paths towards hydrogen production through variable renewable energy capacity: A study of Mexico and Jamaica. Energy Convers Manage 311: 118483. https://doi.org/10.1016/j.enconman.2024.118483 doi: 10.1016/j.enconman.2024.118483
![]() |
[9] |
Silva JA, Andrade MA (2020) Solar energy analysis in use and implementation in Mexico: A review. Int J Energy Sect Manage 14: 1333–1349. https://doi.org/10.1108/IJESM-01-2020-0010 doi: 10.1108/IJESM-01-2020-0010
![]() |
[10] |
Pérez AJG, Hansen T (2020) Technology characteristics and catching-up policies: Solar energy technologies in Mexico. Energy Sustainable Dev 56: 51–66. https://doi.org/10.1016/j.esd.2020.03.003 doi: 10.1016/j.esd.2020.03.003
![]() |
[11] |
Paleta R, Pina A, Silva CA (2012) Remote autonomous energy systems project: towards sustainability in developing countries. Energy 48: 431–439. https://doi.org/10.1016/j.energy.2012.06.004 doi: 10.1016/j.energy.2012.06.004
![]() |
[12] |
Mishra AK, Sudarsan JS, Suribabu CR, et al. (2024). Cost-benefit analysis of implementing a solar powered water pumping system–-A case study. Energy Nexus 16: 100323. https://doi.org/10.1016/j.nexus.2024.100323 doi: 10.1016/j.nexus.2024.100323
![]() |
[13] |
Nabil MH, Barua J, Eiva URJ, et al. (2024) Techno-economic analysis of commercial-scale 15 MW on-grid ground solar PV systems in Bakalia: A feasibility study proposed for BPDB. Energy Nexus 14: 100286. https://doi.org/10.1016/j.nexus.2024.100286 doi: 10.1016/j.nexus.2024.100286
![]() |
[14] |
Koot M, Wijnhoven F (2021) Usage impact on data center electricity needs: A system dynamic forecasting model. Appl Energy 291: 116798. https://doi.org/10.1016/j.apenergy.2021.116798 doi: 10.1016/j.apenergy.2021.116798
![]() |
[15] | Dnekeshev A, Kushnikov V, Tsvirkun A (2024) System-Dynamic model for analysis and forecasting emergency situations of oil refinery enterprises. 2024 17th International Conference on Management of Large-Scale System Development (MLSD), IEEE, 1–4. https://doi.org/10.1109/MLSD61779.2024.10739602 |
[16] |
Pásková M, Štekerová K, Zanker M, et al. (2024) Water pollution generated by tourism: Review of system dynamics models. Heliyon 10. https://doi.org/10.1016/j.heliyon.2023.e23824 doi: 10.1016/j.heliyon.2023.e23824
![]() |
[17] |
Awah LS, Belle JA, Nyam YS, et al. (2024) A participatory systems dynamic modelling approach to understanding flood systems in a coastal community in Cameroon. Int J Disast Risk Re 101: 104236. https://doi.org/10.1016/j.ijdrr.2023.104236 doi: 10.1016/j.ijdrr.2023.104236
![]() |
[18] |
Du Q, Yang M, Wang Y, et al. (2024) Dynamic simulation for carbon emission reduction effects of the prefabricated building supply chain under environmental policies. Sustain Cities and Soc 100: 105027. https://doi.org/10.1016/j.scs.2023.105027 doi: 10.1016/j.scs.2023.105027
![]() |
[19] |
Capellán-Pérez I, de Blas I, Nieto J, et al. (2020) MEDEAS: A new modeling framework integrating global biophysical and socioeconomic constraints. Energy Environ Sci 133: 986–1017. https://doi.org/10.1039/C9EE02627D doi: 10.1039/C9EE02627D
![]() |
[20] |
Capellán-Pérez I, Mediavilla M, de Castro C, et al. (2014) Fossil fuel depletion and socio-economic scenarios: An integrated approach. Energy 77: 641–666. https://doi.org/10.1016/j.energy.2014.09.063 doi: 10.1016/j.energy.2014.09.063
![]() |
[21] |
Yu X, Wu Z, Wang Q, et al. (2020) Exploring the investment strategy of power enterprises under the nationwide carbon emissions trading mechanism: A scenario-based system dynamics approach. Energy Policy 140: 111409. https://doi.org/10.1016/j.enpol.2020.111409 doi: 10.1016/j.enpol.2020.111409
![]() |
[22] |
Mariano-Hernández D, Hernández-Callejo L, Zorita-Lamadrid A, et al. (2021) A review of strategies for building energy management system: Model predictive control, demand side management, optimization, and fault detect & diagnosis. J Build Eng 33: 101692. https://doi.org/10.1016/j.jobe.2020.101692 doi: 10.1016/j.jobe.2020.101692
![]() |
[23] | López-Cruz IL, Ramírez-Arias A, Rojano-Aguilar A (2004) Análisis de sensibilidad de un modelo dinámico de crecimiento para lechugas (*Lactuca sativa* L.) cultivadas en invernadero. Agrociencia 38: 613–624. Available from: https://agrociencia-colpos.org/index.php/agrociencia/article/view/355. |
[24] | Aguilar C, Polo MJ (2005) Análisis de sensibilidad de AnnAGNPS en la dinámica de herbicidas en cuencas de olivar. In: Samper CJ, Paz GA (Eds.), Estudios en la Zona no Saturada del Suelo 7: 337–343. Available from: Availabel from: https://abe.ufl.edu/Faculty/carpena/files/pdf/zona_no_saturada/estudios_de_la_zona_v7/c337-343.pdf. |
[25] |
Barrios-Sánchez JM, Baeza-Serrato R, Martínez-Jiménez L (2024) FC to analyze efficiency behavior in a balancing loop in a system dynamics environment. Fractal Fract 8: 212. https://doi.org/10.3390/fractalfract8040212 doi: 10.3390/fractalfract8040212
![]() |
[26] |
Khalil R, Al Horani M, Yousef A, et al. (2014) A new definition of fractional derivative. J Comput Appl Math 264: 65–70. https://doi.org/10.1016/j.cam.2014.01.002 doi: 10.1016/j.cam.2014.01.002
![]() |
[27] |
Yu Y, Yin Y (2022) Fractal operators and convergence analysis in fractional viscoelastic theory. Fractal Fract 8: 200. https://doi.org/10.3390/fractalfract8040200 doi: 10.3390/fractalfract8040200
![]() |
[28] |
Rosales JJ, Toledo-Sesma L (2023) Anisotropic fractional cosmology: K-essence theory. Fractal Fract 7: 814. https://doi.org/10.3390/fractalfract7110814 doi: 10.3390/fractalfract7110814
![]() |
[29] |
Adervani A, Saadati SR, O'Regan D, et al. (2022) Uncertain asymptotic stability analysis of a fractional-order system with numerical aspects. Mathematics 12: 904. https://doi.org/10.3390/math12060904 doi: 10.3390/math12060904
![]() |
[30] |
Abdeljawad T (2015) On conformable FC. J Comput Appl Math 279: 57–66. https://doi.org/10.1016/j.cam.2014.10.016 doi: 10.1016/j.cam.2014.10.016
![]() |
[31] |
Martinez L, Rosales JJ, Carreño J, et al. (2018) Electrical circuits described by fractional conformable derivative. Int J Circuit Theory Appl 46: 1091–1100. https://doi.org/10.1002/cta.2475 doi: 10.1002/cta.2475
![]() |
[32] |
Rahman MU, Karaca Y, Sun M (2024) Complex behaviors and various soliton profiles of (2 + 1)—dimensional complex modified Korteweg-de Vries equation. Opt Quant Electron 56: 878. https://doi.org/10.1007/s11082-024-06514-4 doi: 10.1007/s11082-024-06514-4
![]() |
[33] | Statista (2024) Capacidad instalada de energía solar en México desde 2013 hasta 2023. Statista. Available from: https://es.statista.com/estadisticas/1238183/capacidad-instalada-energia-solar-mexico/. |
[34] | INEGI (2024). Estadísticas de energía. INEGI. Available from: https://www.inegi.org.mx/. |
[35] | Sterman J (2002) System Dynamics: Systems Thinking and Modeling for a Complex World. McGraw-Hill. Available from: http://hdl.handle.net/1721.1/102741. |
[36] | Roberts MJ (1973) The Limits of "The Limits to Growth". Harvard University. Available from: https://doi.org/10.3138/9781487595029-020 |
[37] | Forrester JW (2012) Dinámica industrial: un gran avance para los tomadores de decisiones. In: Las raíces de la logística, Springer, Berlín, Heidelberg, 141–172. https://doi.org/10.1007/978-3-642-27922-5_13 |
[38] | Sterman J (2002) Dinámica de sistemas: pensamiento y modelado sistémico para un mundo complejo. Availabel from: http://hdl.handle.net/1721.1/102741. |
[39] |
Zhao D, Luo M (2017) General conformable fractional derivative and its physical interpretation. Calcolo 54: 903–917. https://doi.org/10.1007/s10092-017-0213-8 doi: 10.1007/s10092-017-0213-8
![]() |
[40] |
Kajouni A, Chafiki A, Hilal K, et al. (2021) A new conformable fractional derivative and applications. Int Differ Equations, 2021. https://doi.org/10.1155/2021/6245435 doi: 10.1155/2021/6245435
![]() |
[41] |
Abdeljawad T (2015) On conformable fractional calculus. J Comput Appl Math 279: 57-66. https://doi.org/10.1016/j.cam.2014.10.016 doi: 10.1016/j.cam.2014.10.016
![]() |
1. | Fatima Ez-Zahra Aabassi, Mouhcine Fadil, Ayoub El-Mrabet, Taoufiq Saffaj, Mohamed Amine Mechatte, Abdellah Farah, Chemical Profile and Bioactivity Enhancement of Eucalyptus camaldulensis Essential Oils through Hybridization and Rectification: A Chemometric and Molecular Docking Study, 2025, 09603085, 10.1016/j.fbp.2025.02.012 |
S/N | Plant part/extract | % of inhibition of DPPH | FRAP Fe2+/(mmol/g) | % of inhibition of α-glucosidase | Zone of inhibition Staphylococcus aureus (mm) | Zone of inhibition Pseudomonas aeruginosa (mm) |
1 | Ethanolic Leaves | 75.1 ± 1.0b | 12.9 ± 2c | 60 ± 0.2c | 10 b, c | 8 b |
2 | Aqueous Leaves | 69.3 ± 03c,d | 10.4 ± 4d | 63 ± 1.0b | 6 d | 6 c, d |
3 | Essential oil | 84.01 ± 01a | 20.1 ± 1a | 78 ± 2.1a | 12a | 14 a |
4 | Quercetin/Acarbose | 70.04 ± 2.0c | 15.8 ± 1b | 54 ± 0.1d | ||
5 | Ampicillin (10 µg) | 9 c | 6 d |
Note: The numbers represent the means and standard deviations of three separate experiments, each of which was carried out three times. Vertically similar alphabets do not statistically differ at the p ≤ 0.05 level.
S/N | RT | Area | Compound | Molecular structure |
1 | 6.9295 | 0.5058 | Furan, 2,5-dihydro-3-methyl- | ![]() |
2 | 7.6833 | 1.4124 | 6-Tridecene, 7-methyl- | ![]() |
3 | 8.1449 | 1.147 | dl-Lysine | ![]() |
4 | 8.4441 | 1.1377 | 3-Cyclohexylthiolane,S,S-dioxide | ![]() |
5 | 8.6201 | 0.9649 | 1-Isopropoxy-2,2,3-trimethylaziridine | ![]() |
6 | 8.7722 | 0.6063 | Furan, 2,5-dihydro-3-methyl- | ![]() |
7 | 8.8871 | 0.982 | 1H-Cyclopropa[a]naphthalene, 1a,2,3,5,6,7,7a,7b-octahydro-1,1,7,7a-tetramethyl-, [1aR-(1a.alpha.,7.alpha.,7a.alpha.,7b.alpha.)]- | ![]() |
8 | 9.068 | 8.0481 | Aromandendrene | ![]() |
9 | 9.5046 | 4.099 | Alloaromadendrene | ![]() |
10 | 9.7889 | 1.7229 | 5.alpha.-Androstan-16-one | ![]() |
11 | 10.329 | 2.5538 | (1S,2E,6E,10R)-3,7,11,11-Tetramethylbicyclo[8.1.0]undeca-2,6-diene | ![]() |
12 | 11.2245 | 0.3508 | Dodecanoic acid, methyl ester | ![]() |
13 | 11.8237 | 0.2395 | 1-Methylene-2b-hydroxymethyl-3,3-dimethyl-4b-(3-methylbut-2-enyl)-cyclohexane | ![]() |
14 | 12.153 | 0.5436 | 1H-Cycloprop[e]azulen-7-ol, decahydro-1,1,7-trimethyl-4-methylene-, [1ar-(1a.alpha.,4a.alpha.,7.beta.,7a.beta.,7b.alpha.)]- | ![]() |
15 | 12.3177 | 3.3133 | Azulene, 1,2,3,3a,4,5,6,7-octahydro-1,4-dimethyl-7-(1-methylethenyl)-, [1R-(1.alpha.,3a.beta.,4.alpha.,7.beta.)]- | ![]() |
16 | 12.6917 | 0.8741 | Naphthalene, decahydro-4a-methyl-1-methylene-7-(1-methylethenyl)-, [4aR-(4a.alpha.,7.alpha.,8a.beta.)]- | ![]() |
17 | 12.9604 | 0.2569 | 1-Tetradecene | ![]() |
18 | 13.1784 | 1.1556 | 2-Naphthalenemethanol, 2,3,4,4a,5,6,7,8-octahydro-.alpha.,.alpha.,4a,8-tetramethyl-, [2R-(2.alpha.,4a.beta.,8.beta.)]- | ![]() |
19 | 13.9033 | 1.1754 | 3-Tetradecanynoic acid | ![]() |
20 | 14.1865 | 0.5571 | Methyl 10-oxo-8-decenoate | ![]() |
21 | 14.9428 | 0.1751 | 9-Hexadecenoic acid, octadecyl ester | ![]() |
22 | 15.4386 | 2.6144 | cis-Z-α-Bisabolene epoxide | ![]() |
23 | 17.0159 | 0.604 | Alpha-Phellandrene | ![]() |
24 | 17.3444 | 0.1292 | Gamma-Terpinene | ![]() |
25 | 19.8713 | 1.4356 | 13-Octadecenal, (Z)- | ![]() |
26 | 20.0676 | 1.31 | 1,2-Benzenedicarboxylic acid, butyl 2-ethylhexyl ester | ![]() |
27 | 21.5497 | 1.3177 | l-(+)-Ascorbic acid 2,6-dihexadecanoate | ![]() |
28 | 21.9975 | 1.6346 | 7-Hexadecenal, (Z)- | ![]() |
29 | 22.9324 | 7.7147 | 9,12-Octadecadienoic acid, methyl ester | ![]() |
30 | 23.0931 | 8.8599 | 6-Octadecenoic acid, methyl ester, (Z)- | ![]() |
31 | 23.4822 | 3.9623 | 9-Hexadecenoic acid | ![]() |
32 | 23.6908 | 1.2546 | Methyl stearate | ![]() |
33 | 24.342 | 1.8422 | 1,19-Eicosadiene | ![]() |
34 | 24.5097 | 1.5373 | 9-Tetradecenal, (Z)- | ![]() |
35 | 30.3053 | 0.5913 | 15-Hydroxypentadecanoic acid | ![]() |
36 | 31.6831 | 0.7238 | E-9-Tetradecenal | ![]() |
37 | 32.9886 | 10.3582 | 13-octadecadienol | ![]() |
38 | 33.1566 | 2.9289 | cis-Vaccenic acid | ![]() |
39 | 33.3425 | 4.5968 | trans-13-Octadecenoic acid | ![]() |
40 | 35.8604 | 0.8797 | 13-octadecadienol | ![]() |
41 | 35.971 | 1.2193 | Eicosane | ![]() |
42 | 38.4646 | 10.2357 | cis-11-Hexadecenal | ![]() |
Note: S/N = Serial number, RT = Retention time.
Compound | PubChem CID | Docking Score | Inhibition constant Ki (µM) |
alpha-D-glucopyranose (Native Inhibitor) | 79025 | −6.2 | 27.5 |
Quercetin | 5280343 | −8.6 | 0.5 |
Acarbose | 41774 | −8.3 | 0.8 |
Miglitol | 441314 | −5.8 | 55.4 |
Voglibose | 444020 | −6.4 | 20.3 |
Phytochemicals of Eucalyptus camaldulensis that gave best scores | |||
5.alpha.-Androstan-16-one | 13963520 | −8.6 | 0.5 |
S/N | Plant part/extract | % of inhibition of DPPH | FRAP Fe2+/(mmol/g) | % of inhibition of α-glucosidase | Zone of inhibition Staphylococcus aureus (mm) | Zone of inhibition Pseudomonas aeruginosa (mm) |
1 | Ethanolic Leaves | 75.1 ± 1.0b | 12.9 ± 2c | 60 ± 0.2c | 10 b, c | 8 b |
2 | Aqueous Leaves | 69.3 ± 03c,d | 10.4 ± 4d | 63 ± 1.0b | 6 d | 6 c, d |
3 | Essential oil | 84.01 ± 01a | 20.1 ± 1a | 78 ± 2.1a | 12a | 14 a |
4 | Quercetin/Acarbose | 70.04 ± 2.0c | 15.8 ± 1b | 54 ± 0.1d | ||
5 | Ampicillin (10 µg) | 9 c | 6 d |
S/N | RT | Area | Compound | Molecular structure |
1 | 6.9295 | 0.5058 | Furan, 2,5-dihydro-3-methyl- | ![]() |
2 | 7.6833 | 1.4124 | 6-Tridecene, 7-methyl- | ![]() |
3 | 8.1449 | 1.147 | dl-Lysine | ![]() |
4 | 8.4441 | 1.1377 | 3-Cyclohexylthiolane,S,S-dioxide | ![]() |
5 | 8.6201 | 0.9649 | 1-Isopropoxy-2,2,3-trimethylaziridine | ![]() |
6 | 8.7722 | 0.6063 | Furan, 2,5-dihydro-3-methyl- | ![]() |
7 | 8.8871 | 0.982 | 1H-Cyclopropa[a]naphthalene, 1a,2,3,5,6,7,7a,7b-octahydro-1,1,7,7a-tetramethyl-, [1aR-(1a.alpha.,7.alpha.,7a.alpha.,7b.alpha.)]- | ![]() |
8 | 9.068 | 8.0481 | Aromandendrene | ![]() |
9 | 9.5046 | 4.099 | Alloaromadendrene | ![]() |
10 | 9.7889 | 1.7229 | 5.alpha.-Androstan-16-one | ![]() |
11 | 10.329 | 2.5538 | (1S,2E,6E,10R)-3,7,11,11-Tetramethylbicyclo[8.1.0]undeca-2,6-diene | ![]() |
12 | 11.2245 | 0.3508 | Dodecanoic acid, methyl ester | ![]() |
13 | 11.8237 | 0.2395 | 1-Methylene-2b-hydroxymethyl-3,3-dimethyl-4b-(3-methylbut-2-enyl)-cyclohexane | ![]() |
14 | 12.153 | 0.5436 | 1H-Cycloprop[e]azulen-7-ol, decahydro-1,1,7-trimethyl-4-methylene-, [1ar-(1a.alpha.,4a.alpha.,7.beta.,7a.beta.,7b.alpha.)]- | ![]() |
15 | 12.3177 | 3.3133 | Azulene, 1,2,3,3a,4,5,6,7-octahydro-1,4-dimethyl-7-(1-methylethenyl)-, [1R-(1.alpha.,3a.beta.,4.alpha.,7.beta.)]- | ![]() |
16 | 12.6917 | 0.8741 | Naphthalene, decahydro-4a-methyl-1-methylene-7-(1-methylethenyl)-, [4aR-(4a.alpha.,7.alpha.,8a.beta.)]- | ![]() |
17 | 12.9604 | 0.2569 | 1-Tetradecene | ![]() |
18 | 13.1784 | 1.1556 | 2-Naphthalenemethanol, 2,3,4,4a,5,6,7,8-octahydro-.alpha.,.alpha.,4a,8-tetramethyl-, [2R-(2.alpha.,4a.beta.,8.beta.)]- | ![]() |
19 | 13.9033 | 1.1754 | 3-Tetradecanynoic acid | ![]() |
20 | 14.1865 | 0.5571 | Methyl 10-oxo-8-decenoate | ![]() |
21 | 14.9428 | 0.1751 | 9-Hexadecenoic acid, octadecyl ester | ![]() |
22 | 15.4386 | 2.6144 | cis-Z-α-Bisabolene epoxide | ![]() |
23 | 17.0159 | 0.604 | Alpha-Phellandrene | ![]() |
24 | 17.3444 | 0.1292 | Gamma-Terpinene | ![]() |
25 | 19.8713 | 1.4356 | 13-Octadecenal, (Z)- | ![]() |
26 | 20.0676 | 1.31 | 1,2-Benzenedicarboxylic acid, butyl 2-ethylhexyl ester | ![]() |
27 | 21.5497 | 1.3177 | l-(+)-Ascorbic acid 2,6-dihexadecanoate | ![]() |
28 | 21.9975 | 1.6346 | 7-Hexadecenal, (Z)- | ![]() |
29 | 22.9324 | 7.7147 | 9,12-Octadecadienoic acid, methyl ester | ![]() |
30 | 23.0931 | 8.8599 | 6-Octadecenoic acid, methyl ester, (Z)- | ![]() |
31 | 23.4822 | 3.9623 | 9-Hexadecenoic acid | ![]() |
32 | 23.6908 | 1.2546 | Methyl stearate | ![]() |
33 | 24.342 | 1.8422 | 1,19-Eicosadiene | ![]() |
34 | 24.5097 | 1.5373 | 9-Tetradecenal, (Z)- | ![]() |
35 | 30.3053 | 0.5913 | 15-Hydroxypentadecanoic acid | ![]() |
36 | 31.6831 | 0.7238 | E-9-Tetradecenal | ![]() |
37 | 32.9886 | 10.3582 | 13-octadecadienol | ![]() |
38 | 33.1566 | 2.9289 | cis-Vaccenic acid | ![]() |
39 | 33.3425 | 4.5968 | trans-13-Octadecenoic acid | ![]() |
40 | 35.8604 | 0.8797 | 13-octadecadienol | ![]() |
41 | 35.971 | 1.2193 | Eicosane | ![]() |
42 | 38.4646 | 10.2357 | cis-11-Hexadecenal | ![]() |
Compound | PubChem CID | Docking Score | Inhibition constant Ki (µM) |
alpha-D-glucopyranose (Native Inhibitor) | 79025 | −6.2 | 27.5 |
Quercetin | 5280343 | −8.6 | 0.5 |
Acarbose | 41774 | −8.3 | 0.8 |
Miglitol | 441314 | −5.8 | 55.4 |
Voglibose | 444020 | −6.4 | 20.3 |
Phytochemicals of Eucalyptus camaldulensis that gave best scores | |||
5.alpha.-Androstan-16-one | 13963520 | −8.6 | 0.5 |