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Article

A Theoretical and Experimental Study for Enzymatic Biodiesel Production from Babassu Oil (Orbignya sp.) Using Eversa Lipase

by
Jeferson Yves Nunes Holanda Alexandre
1,
Francisco Thálysson Tavares Cavalcante
1,
Lara Matias Freitas
2,
Alyne Prudêncio Castro
3,
Pedro Tavares Borges
4,
Paulo Gonçalves de Sousa Junior
5,
Manoel Nazareno Ribeiro Filho
4,
Ada Amelia Sanders Lopes
4,
Aluisio Marques da Fonseca
6,
Diego Lomonaco
5,
Maria Alexsandra de Sousa Rios
3 and
José Cleiton Sousa dos Santos
1,4,*
1
Departamento de Engenharia Química, Campus do Pici, Universidade Federal do Ceará, Fortaleza 60455760, CE, Brazil
2
Programa de Pós Graduação em Ciências Naturais, Universidade Estadual do Ceará, Fortaleza 60714903, CE, Brazil
3
Departamento de Engenharia Mecânica e de Produção da UFC, Universidade Federal do Ceará-Bloco 714-Campus do Pici, Fortaleza 60455-900, CE, Brazil
4
Instituto de Engenharias e Desenvolvimento Sustentável, Universidade da Integração Internacional da Lusofonia Afro-Brasileira, Campus das Auroras, Redenção 62790970, CE, Brazil
5
Department of Organic and Inorganic Chemistry, Federal University of Ceara, Fortaleza 60440-900, CE, Brazil
6
Mestrado Acadêmico em Sociobiodiversidades e Tecnologias Sustentáveis—MASTS, Instituto de Engenharias e Desenvolvimento Sustentável, Universidade da Integração Internacional da Lusofonia Afro-Brasileira, Acarape 62785-000, CE, Brazil
*
Author to whom correspondence should be addressed.
Catalysts 2022, 12(11), 1322; https://doi.org/10.3390/catal12111322
Submission received: 5 September 2022 / Revised: 8 October 2022 / Accepted: 20 October 2022 / Published: 27 October 2022
(This article belongs to the Special Issue Catalysts for Biofuel and Bioenergy Production)

Abstract

:
A theoretical and experimental study was carried out on the biocatalytic production of babassu biodiesel through enzymatic hydroesterification. The complete hydrolysis of babassu oil was carried out using a 1:1 mass solution at 40 °C for 4 h using 0.4% of lipase from Thermomyces lanuginosus (TLL). Then, with the use of Eversa® Transform 2.0 lipase in the esterification step, a statistical design was used, varying the temperature (25–55 °C), the molar ratio between free fatty acids (FFAs) and methanol (1:1 to 1:9), the percentage of biocatalyst (0.1% to 0.9%), and the reaction time (1–5 h) using the Taguchi method. The ideal reaction levels obtained after the statistical treatment were 5 h of reaction at 40 °C at a molar ratio of 1:5 (FFAs/methanol) using 0.9% of the biocatalyst. These optimal conditions were validated by chromatographic analysis; following the EN 14103 standard, the sample showed an ester concentration of 95.76%. A theoretical study was carried out to evaluate the stability of Eversa with FFAs. It was observed in the molecular docking results that the ligands interacted directly with the catalytic site. Through molecular dynamics studies, it was verified that there were no significant conformational changes in the studied complexes. Theoretical and experimental results show the feasibility of this process.

Graphical Abstract

1. Introduction

Petroleum is the most used fossil fuel in the world since, when refined, it generates several by-products such as diesel, gasoline, and lubricants, among others [1]. Because of this, the United States International Energy Agency (IEA) estimates that there will be a global oil supply deficit from 2025 onwards [2]. Thus, renewable fuels emerge as a viable alternative to meet this energy demand [3]. Renewable fuels, also known as biofuels, are materials with energy applications from agricultural products such as sugars, animal and vegetable oils, and forest biomass, among others. Among the fuels from renewable sources, biodiesel stands out. This material can partially replace diesel in internal combustion engines [4].
Benefits such as excellent lubricity, accessible transport, storage, and lower toxicity and environmental damage make biodiesel an excellent alternative to diesel. Biodiesel can be obtained from vegetable oil, animal fat, and residual oil [3]. Oil sources are formed by condensing fatty acids and glycerol, forming glycerides [5]. It is worth mentioning that the physiological characteristics of the oil source used directly influence the properties of the oil and, consequently, the physicochemical characteristics of the biodiesel produced [6]. Due to the factors mentioned above, this work studied the application of babassu oil (Attalea speciosa) in the ecological production of biodiesel. The babassu fruit was chosen because it is present in about 196.000 km2 of the Brazilian territory, with most palm trees located in the northern and northeastern regions [7,8].
As biodiesel is formed mainly by esters, it is necessary to apply chemical processes to transform oils, such as thermal cracking, esterification, and transesterification [9]. However, the synthesis via hydroesterification has been widely studied since this process can be carried out with any oil source, regardless of its purity, acidity, and humidity [10]. Except for thermal cracking, these processes can be performed in the presence of homogeneous, heterogeneous, or enzymatic catalysts. Enzymatic catalysts are a viable alternative among the various types of existing catalysts, as these materials generate less waste and are less harmful to the environment when compared to chemical catalysts [11,12,13,14,15].
However, problems are associated with applying biocatalysts on an industrial scale since these materials have a high price and low operational stability. Thus, several strategies are employed to expand the application of biocatalysts in the industry [16,17,18,19,20]. Techniques of enzymatic immobilization, green solvents, and genetic manipulation in the production of enzymes are some techniques that can be used [21].
Genetic manipulation is used in the production of soluble enzymes, and this modification can increase the activity of the enzyme. In addition, genetically modified enzymes can be commercialized with a value of 30 to 50 times lower than their immobilized alternatives. Eversa® Transform 2.0 stands out among the genetically manipulated enzymes. This biological material is produced through the genetic modification of the lipase of Thermomyces lanuginosus expressed in a strain of Aspergillus oryzae. This biocatalyst was designed to be an economically viable material that can be applied in reactions to produce free fatty acids, glycerides, and biolubricants [22,23,24].
Thus, understanding the behavior of Eversa lipase at the molecular level through computational tools and the optimization of the reaction process can facilitate the application of these materials on a large scale. Thus, the present study proves to be an alternative for the development of future babassu biodiesel synthesis processes using Eversa lipase as a biocatalyst. [25]. Thus, the present work sought to evaluate the potential of Eversa® Transform 2.0 lipase in synthesizing babassu methyl esters (FAMEs). For the production of FAMEs, enzymatic hydroesterification was used since this strategy has less impact on the environment when compared to conventional routes [26,27]. In addition, theoretical studies of the esterification stage were carried out. Molecular docking was used to obtain the best conformation between the fatty acids and the enzyme’s catalytic site and to understand the nature of these interactions. In molecular dynamics studies, the stability of the enzyme–substrate complex under reactional production conditions was evaluated.

2. Results and Discussion

2.1. Enzymatic Hydrolysis

The proposed enzymatic hydrolysis was performed satisfactorily since there was an increase in the acidity index of the oil from 0.75 mg NaOH/g to 127.03 mg NaOH/g. The acidity index obtained is consistent with expectations since refined babassu oil was used during hydrolysis. Carvalho et al. (2021) [22] performed the complete hydrolysis of refined and residual soybean oil within 3 h of reaction. In this process, Candida rugosa-free lipase was used as a biocatalyst.

2.2. Taguchi Planning-Optimization of the Production of Methyl Esters of Babassu Fatty Acids

In this stage of the work, Taguchi planning with an orthogonal matrix L9 was used. This strategy was employed to optimize and reduce the number of trials. Furthermore, this method makes it possible to understand the effects and interaction of parameters related to the process [28,29,30]. Table 1 shows the results obtained relating them to the proposed reaction parameters. It is worth noting that all experiments were performed in triplicate and that the results remained within the expected margin of error.
Based on the data in Table 1, it was possible to observe that test 4 presented the best conversion and signal-to-noise ratio (S/N) results, 95.20 ± 0.031 and 39.57, respectively. In this assay, 0.9% of biocatalyst was used, with a molar ratio of 1:5 (FFA/methanol), for 3 h of reaction at 40 °C. It was observed that the percentage of biocatalysts significantly influenced the process since the experiments using 0.9% of catalyst (experiments 3, 4, and 8) presented, on average, better results in conversion and signal-to-noise ratio when compared to tests conducted with 0.1 and 0.5% of the biocatalyst. In order to identify the influence of temperature, time, and molar ratio, further statistical analysis is necessary.

2.2.1. S/N Ratio Analysis

Taguchi planning employs S/N relationships to identify the impact of parameters on the process. In this work, the “bigger is better” function was used to determine the S/N ratios since the present planning was intended to obtain a higher conversion. Table 2 shows the S/N averages for the individual factors and levels. Furthermore, the table shows the delta values. These values were calculated through the difference between each factor’s highest and lowest S/N ratio. Through the delta values, it is possible to assess the impact of the levels on the process and therefore identify the parameters that had the most significant influence.
It is possible to observe that the amount of biocatalyst and temperature were the most influential variables in the process, as they presented the highest delta values, 22.05 and 12.50, respectively. Thus, the data in Table 2 confirm the influence of the percentage of biocatalysts and the temperature on the process. It is evident that the increase in the percentage of biocatalysts in the reaction medium from level 1 (0.1%) to level 3 (0.9%) significantly increased the response of the S/N ratio and, consequently, the conversion. This expansion can be attributed to the increased catalytic sites in the reaction medium. This availability is related to a more significant number of reactions coinciding [31].
On the other hand, the temperature showed different behavior. It was observed that the change from level 1 (25 °C) to level 2 (40 °C) favored the expansion of the conversion. However, the change from level 2 (40° C) to level 3 (55 °C) had the opposite effect. This is because enzymes are sensitive biological materials that operate in a specific temperature range. In addition, an excessive temperature increase can reduce activity, leading to deactivation [32]. Finally, the molar ratio and reaction time factors proved less effective in the process, with delta values equal to 6.75 and 3.73, respectively. It was observed that the amplification of methanol in the reaction medium from level 1 (1:1 FFA/methanol) to level 2 (1:5 1 FFA/methanol) significantly impacted the response of the S/N ratio and, consequently, the conversion. However, switching from level 2 (1:5 1 FFA/methanol) to level 3 (1:9 1 FFA/methanol) showed a slight drop in response. This low variance can be attributed to Eversa’s high resistance to methanol since this enzyme was developed to produce methyl ester [33]. The low variation in the response of the S/N ratio over time may be associated with high enzyme activity so that, according to the data shown in Table 1, it is possible to obtain 95.20 ± 0.029 (assay 4) in 3 h of reaction.

2.2.2. Analysis of Variance (ANOVA)

Conversion data obtained through experimental design were statistically evaluated using Analysis of Variance (ANOVA). According to the literature, the p-value ensures the significance of each factor for the process studied. Table 3 shows the results obtained in the ANOVA.
In order to ensure the significance of a factor with a 95% confidence interval, the p-value must be less than 0.05. Thus, the table clarifies that among the factors studied, only the percentage of biocatalysts showed significance with a p-value equal to 0.043 and a contribution percentage equal to 67.80%. Moreira et al. (2020) [26] studied the production of ethyl esters from babassu. The researchers reported that the percentage of biocatalysts was the most influential parameter in the process, with a p-value equal to that obtained in this work. Sun, Guo, and Chen (2021) [34] studied the production of ethyl biodiesel from Semen Abutili (Abutilon theophrasti Medic.), using Eversa® Transform 2.0 in its liquid form as a catalyst. During the study, the authors verified the influence of the biocatalyst on the reaction rate, and it was observed that the increase in the percentage of biocatalysts from 1% to 6% increased the production rate of esters in the same proportion. Thus, the results obtained in this work are in agreement with the literature data since, as mentioned above, the increase in the percentage of the biocatalyst is related to the increase in the availability of active sites and, consequently, to the more significant number of reactions coinciding [32]. It is worth noting that this work demonstrated that babassu oil could be a viable alternative for producing FAME, as a smaller amount of biocatalyst was used in a shorter time when compared to authors such as Sun, Guo, and Chen (2021) [34].
After statistical analysis and discussion of the collected data, the optimal conditions for the production of methyl esters were defined based on the range of levels (1, 2, and 3) of each factor (time, temperature, molar ratio (FFA/methanol) and percentage of biocatalyst), i.e., time (5 h), temperature (40 °C), the molar ratio (1:5 FFA/methanol), and percentage of biocatalyst (0.9% w/w). Under these conditions, the theoretical conversion was 98.64%. These optimal conditions were validated by the chromatographic analysis of methyl esters, following the EN 14103 standard with some modifications. The sample showed an ester concentration of 95.76%. This variation of approximately 2.88% is within the expected margin of error, as biocatalysts can quickly lose their catalytic activity as they are more sensitive to external factors than chemical catalysts [35].

2.3. Physicochemical Characterization of the Oil Produced

The babassu methyl esters were separated from the by-products (water, glycerin, and alcohol in excess) and characterized regarding their physicochemical properties. The biodiesel produced is within the quality standards established by the “American Society for Testing and Materials” (ASTM), following the specifications of ASTM D6751. According to the standard, the kinematic viscosity at 40 °C of the monoalkyl esters from vegetable oil must be between 1.9 and 6.0 cSt. The produced oil had a viscosity equal to 2.52 cSt. Kinematic viscosity is a property of fluids that relates to a fluid’s molecular diffusion momentum. This property is of paramount importance, as it can directly interfere with the motor’s efficiency [36]. In addition, the standard establishes that the density at 20 °C is between 860 and 900 Kg/m3, and the density of biodiesel produced from babassu was 872.90 Kg/m3. The specific mass is an intensive property of matter calculated through the ratio between two extensive properties (mass/volume) [37]. Therefore, the results obtained indicate that the biodiesel produced has potential application.

2.4. Theoretical Study

2.4.1. Protein Modeling by Homology

The Ramachandran graph was used to validate the homology modeling (Figure 1). This diagram represents all possible combinations of dihedral angles (Ψ versus φ) in the amino acids of a polypeptide chain [38]. This technique exposes the combinations of the excellent stability of these angles, making it possible to validate the probable structure of the biomolecule [39]. According to the diagram, 91.5% of the residues of the modeled protein are in favorable regions (red region), 6.5% of the residues are in the additionally allowed region (Regions a, b, l, p, yellow), 1.6% are located in the generously allowed regions (Regions ~a, ~b, ~l, ~p, i.e., light yellow), and 0.4% are in unfavorable regions (black region). It is worth noting that the residues found in unfavorable regions refer to the structures used as a template. In addition, some residues are located at the ends of the protein [39]. The VERIFY 3D (Figure 2) was used to stipulate the compatibility of an atomic model (3D) with an amino acid sequence (1D) for the modeled protein. The % of residues with a mean 3D-1D score ≥ 0.2 are acceptable [25]. In the present study, about 93.71% of the residues had a mean 3D-1D score ≥ 0.2. These results show that the proposed model was compatible with its frequency. Thus, the Ramachandran diagram made it possible to identify the regions that maintained the conserved structure and the variable locations with alignment since 91.5% of the modeled protein residues are in favorable regions. Furthermore, VERIFY 3D proved the compatibility of the atomic model (3D) with the amino acid sequence (1D) since the model developed had an average score 3D-1D ≥ 0.2 of 93.71%. Therefore, the data from the Ramachandran chart and Verify 3D validate the model obtained in this work.

2.4.2. Molecular Docking

From molecular docking, nine conformations were generated for each ligand and their respective values of binding affinity and mean square deviation of atomic positions (RMSD). The best conformation established by Autodock Vina was the one that exhibited the lowest values of energy affinity and RMSD. Table 4 elucidates the values obtained in the molecular docking of the six substrates studied.
Overall, the ligands showed good binding affinity with the catalytic site. Among the ligands evaluated, oleic acid showed the highest binding affinity. This result suggests that the combination of this substrate with the enzyme was the most stable and suitable for esterification [40]. Furthermore, it is possible to observe a direct relationship between the increase in binding affinity and the increase in the carbonic chain of the esters. This expansion may be related to increased interactions between the ligands and the enzyme’s catalytic site [25]. The types of residues involved in the interactions between free fatty acids and Eversa® Transform 2.0 are shown in Table 5 and Figure 3.
The catalytic triad of lipase Eversa® Transform 2.0 comprises ASP206, HIS268, and SER153 [41]. Thus, it is possible to observe that the ligands interacted directly with residues HIS268 and SER153 [42]. In addition, the oxyanion cavity of the enzyme can interact with the substrate since the function of residues in this region is to balance the negative charges of the intermediates formed during the reaction. The oxyanion cavity of lipase Eversa® Transform 2.0 comprises LEU154 and SER91 residues [43]. The residue of the oxyanion region LEU154 interacted with all ligands, in the vast majority, from Van der Waals forces. Electrostatic interactions, hydrogen bonds, hydrophobic interactions, and Van der Waals forces are significant as they stabilize the enzyme–substrate complex [44,45].
Thus, ligand VI showed higher binding affinity. In general, Van der Waals interactions have low binding energy. However, the combination of several Van der Waals forces confers a stabilizing force on the protein–protein and protein–ligand complexes [46]. Most of the time, the first interactions between the enzyme and the substrate are non-covalent. They are electrostatic, Van der Waals, and hydrophobic interactions. Thus, the formation of these interactions may favor the occurrence of a reaction [25,40,47].

2.4.3. Molecular Dynamics Simulations

Root Mean Square Deviation—RMSD

It was observed that the ligands studied were correctly accommodated in the catalytic site of lipase Eversa® [48]. Thus, through the lipase–ligand complexes (I–VI), simulation studies were carried out to evaluate not only the conformational changes of the enzyme but also its stability after each conformational change. The Root Mean Square Deviation (RSMD) of the lipase–ligand complexes was used to evaluate the extent to which conformational changes occurred in the studied molecule during the simulation time. Figure 4 shows the RSMD behaviors of the complexes studied in the equilibration stage.
From the equilibrium simulations of the lipase–ligand complexes in the solvent, it was possible to obtain preliminary information on the behavior of the conformations for the dynamics. In this step, it was observed that the RSMD stabilization values of the studied ligands oscillated between 0.25 and 1.0 Å in the evaluated time. These low RSMD values may be associated with the movement of ions and solvents in the system during the initial conformation of the complexes. Figure 5 shows the results obtained in the production stage.
It was observed that the RMSD stabilization values of the production stage ranged from 0.5 to 3.5 Å at the time analyzed. As shown in Figure 5, octanoic, decanoic, dodecanoic, and tetradecanoic acids had, on average, RMSD values below 2.0 Å. On the other hand, hexadecanoic and cis-9-octadecenoic presented values of around 3.0 Å. Therefore, it was concluded that there were no significant conformational changes in the complexes studied during the simulation periods [49]. Thus, the theoretical and experimental results presented in this work indicate that fatty acids from babassu oil form stable complexes with the catalytic site of Eversa (Ser 153, His 268, and Asp 206), which may indicate a viable alternative for future applications.
It is worth noting that the data presented in this work agree with the results obtained by Qin, Zhong, and Wang (2021) [25]. These authors evaluated the affinity and molecular stability of different fatty acids (octanoic, tetradecanoic, octadecanoic, cis-9-octadecenoic, (9Z,12Z)-octadeca-9,12-dienoic and (9Z,12Z,15Z)-octadeca-9,12,15-trienoic acids) with T1 lipase from Geobacillus zaliha [25]. As in the present work, the authors observed that among the complexes studied, cis-9-octadecenoic acid presented one of the highest RSMD values and therefore one of the lowest stability values when compared to the other complexes.

Hydrogen Bonds

Another analysis refers to the number of intermolecular hydrogen bonds since these bonds are of great importance for the stability of the complex. Figure 6 shows the hydrogen bonds formed between the ligands and the lipase in the equilibration and production steps.
The number of intermolecular hydrogen bonds is a factor of great importance for the stability of the complexes [50]. According to Figure 6, modifications occurred in the networks of hydrogen bonds throughout the simulation, so the number of bonds varied between 1 and 5. The instant in which the bonds were broken indicates that stability was maintained by the interactions of Van der Waals or hydrophobic forces [25]. Furthermore, it was possible to verify that the increase in the average number of bonds was directly related to the increase in the carbonic chain of the ligands. These results corroborate the data obtained in the molecular docking process [51]. However, it was observed that, contrary to what was exposed in the molecular docking results (Table 4), all ligands at some point formed hydrogen bonds in molecular dynamics. These results can be explained by the difference between a dynamic process (molecular dynamics) and a static process (molecular docking) [46]. In addition, the excess of exposed bonds in molecular dynamics may be due to bonds formed with the solvent of the system [25].

3. Materials and Methods

3.1. Materials

The commercial lipase Eversa® transform 2.0 from Aspergillus oryzae and lipase from Thermomyces lanuginosus were purchased from Sigma–Aldrich Brasil Ltda (Cotia, São Paulo, Brazil). All other chemical reagents used were analytical grades from Synth (São Paulo, Brazil) and Vetec (São Paulo, Brazil). Statistica® 10 software Statsoft (Tulsa, OK, USA) was used to develop the experimental design based on the Taguchi method. The refined babassu oil used in this work belongs to Leve (São Luis, Maranhão, Brazil).

3.2. Methods

3.2.1. Hydroesterification

In this study, babassu methyl esters were obtained through the enzymatic hydroesterification process. This strategy is organized in two stages. In the first step, free fatty acids are formed using refined babassu oil via enzymatic hydrolysis using free lipase from Thermomyces lanuginosus (TLL) as a biocatalyst. The reaction system was developed based on the methodology proposed by Carvalho et al. (2021) [22] with adaptations. Initially, the solution containing oil and water in a 1:1 mass ratio was heated until the system reached a temperature of 40 °C. Then, 0.4% of the biocatalyst was added to the oil mass. The system remained at a temperature of 40 °C for 4 h under constant stirring.
After the process, the solution was transferred to a separatory funnel (500 mL), then 100 mL of distilled water at 60 °C was added to separate the aqueous phase from the free fatty acids (FFAs) produced. With this, the lower (aqueous) phase was excluded and the FFAs were washed three times. Then, the mixture containing the FFAs was transferred to a beaker and heated at 80 °C for 10 min. At the end of 10 min, the mixture was transferred to a funnel with filter paper and anhydrous sodium at 20% m·v−1, which was previously dried in a muffle oven at 250 °C for 4 h [22,52].
The initial and final acid numbers (AI) (after the hydrolysis step) were calculated from Equation (1). For this, 0.3 g aliquots were removed from the reaction supernatant volume and diluted in 10 mL of ethyl alcohol. Then, 3 drops of phenolphthalein were added, followed by titration with sodium hydroxide solution [53].
AI   ( m g N a O H g ) = M M N a O H   . M N a O H . f . V N a O H m  
where M M N a O H     (g/mol) is the molar mass of NaOH; M N a O H (mol/L) is the molarity of the NaOH solution; f is the correction factor determined by standardizing NaOH; V N a O H is the volume of NaOH used during the titration, and, m (g) is the mass of the sample to be studied. The conversion of free fatty acids into esters (Equation (2)) was determined by taking into account the initial acidity of the sample (IAI) and of the sample after the reaction (IAF) [52,53].
Conversion   FFA   ( % ) = ( I A I I A F   I A I )  
In the second step, direct esterification of FFAs derived from refined babassu oil and methanol was performed using lipase Eversa® Transform 2.0 in its free form as a biocatalyst. The production reactions of fatty acid methyl esters were carried out in 10 mL flasks with a lid containing the biocatalyst and the substrate on a rotary shaker with digital temperature and rotation control (TE-4200 incubator) at 200 rpm. During the studies, the temperature (25–55 °C), molar ratio between FFAs and methanol (1:1 to 1:9), percentage of biocatalyst (0.1% to 0.9%), and reaction time (1–5 h) accorded with the proposed static planning [54]. To determine the molar mass of the acids produced, the work of Figueredo et al. (2020) [55] was taken into account. The protein concentration was determined using the method described by Bradford (1976) [56], and bovine serum albumin was used as a reference.

3.2.2. Gas Chromatography–Mass Spectrometry (GC/MS) Analysis

For the determination of the ester content (C) of the obtained biodiesel samples, GC/MS analysis was performed based on the methodology described in the EN 14,103 norm [57], with adaptations. Approximately 50 mg of biodiesel sample was added to a vial (2 mL) containing 1 mL of the methyl nonadecanoate solution (10 mg/mL). This mixture was injected (1 µL) into a gas chromatograph–mass spectrometer SHIMADZU QP-2010 ULTRA (Kyoto, Japan) equipped with a (5%-phenyl)-methylpolysiloxane (DB-5) capillary column (30 m × 0.25 mm × 0.25 μm film thickness) using helium as a carrier gas in splitless mode.

3.2.3. Experimental Design and Statistical Analysis (Taguchi Method)

The Taguchi method used an advanced experimental design with a standard orthogonal matrix L9 (where L refers to the Latin square and 9 to the number of experiments) to determine the reaction parameters. During the study, four factors were examined at three levels to optimize the esters’ production. Table 6 correlates the four independent factors (temperature, reaction time, percentage of biocatalyst, and molar ratio between FFAs and methanol) and their corresponding levels [58].
Statistica® software was used to elaborate the experimental design and statistical analysis. The results of the S/N ratios were obtained from the characteristics of the function “bigger is better”, as this research aimed to enhance the response (conversion). The S/N ratio values were obtained from Equation (3) below [59].
S N = 10 l o g ( 1 n i = 1 n 1 / y i 2 ) · 100
where yi corresponds to the response variable, i represents the number of repetitions, and n is the number of experiments for the combination of factor levels for any planning arrangement. Through Equation (4), the expected S/N ratio was determined for the ideal conditions of the predicted maximum conversion.
S N P R E D I C T I O N = S ¯ | R + i = 1 n ( S | R j S ¯ / R )  
where S ¯ | R refers to the arithmetic mean of all relations S | R , S | R j is the S/N ratio optimal for each factor, and n is the number of factors significantly influencing the procedure.

3.2.4. Physicochemical Characterization of Babassu FAME

Kinematic Viscosity

The kinematic viscosity at 40 °C of the biodiesel produced was determined based on ASTM D-7042. An Anton Paar SVM 3000-Stabinger digital viscodensimeter (São Paulo, São Paulo, Brazil) was used during the analysis.
Density
To determine the density of oils at 20 °C, the ASTM D-7042 standard was used. For analysis, an Anton Paar SVM 3000-Stabinger digital viscodensimeter (Graz, Austria) was used.

3.2.5. In Silico Study

Protein Modeling by Homology

The comparative modeling of the Eversa® Transform 2.0 lipase protein was carried out in four steps. Initially, the recognition and selection of the model protein were performed. In this step, the amino acid sequencing of the Eversa lipase protein was used, with its CAS number 9001-62-1 from the Sigma–Aldrich company. The sequence was submitted to a comparative analysis using the BLAST program (Basic Local Alignment Search Tool) www.ncbi.nih.gov/BLAST (accessed on 25 August 2022) [60] and its respective PDB database. Thus, a protein that was related to the amino acid sequence, the lipase enzyme, classified as hydrolase, was recognized by the organism Aspergillus oryzae, expressed through the shuttle Escherichia coli–Pichia pastoris, obtained from the Protein Bank (https://www.rcsb.org/) accessed on 15 March 2022, with the code 5XK2 being the target protein [61]. Then, the alignment between the sequences was performed using the Modeller program http://www.salilab.org/modeller/ (accessed on 25 August 2022) [61]. Thus, a new protein named Eversa ® Transform 2.0 was obtained and evaluated according to the objective function and stereochemical parameters [62]. Finally, the model was approved at the stereochemical, conformational, and energetic levels. The Ramachandran graph and Verify 3D [59] determined the mold quality with the PROCHECK program https://saves.mbi.ucla.edu/ (accessed on 25 August 2022), which estimated its three-dimensional structure, indicating its three-dimensional structure and possible stereochemical quality.

Molecular Docking

A charge correction process and the addition of hydrogen atoms were carried out in the protein generated by homology—the protein generated by homology Eversa® Transform 2.0, through the Discovery Studio Visualizer Program (BIOVIA, Dassault Systémes, Discovery Studio Visualiser, San Diego, CA, USA) [63].
The structures of babassu-free fatty acids were determined using caprylic, capric, lauric, myrisitic, palmitic, and oleic acids (octanoic, decanoic, dodecanoic, tetrathnoic, hexanoic, and cis-9-octadecenoic acids, respectively), which together accounted for about 95% of the fatty acids present in the hydrolyzed oil. For the modulation of these structures, the software ChemDraw 3D (ChemOffice 2018, Perkin-Elmer Informatics, Shelton, CT, USA) was used, and later the structure was minimized with an MM2 force field with an RMS gradient of 0.0001.

Molecular Dynamics Simulations

For the construction of the study solutions, in addition to the molecular dynamics scripts, the CHARMM-GUI website https://www.charmm-gui.org/ (accessed on 25 August 2022) was used [64,65]. The PDB file of the complex formed by the enzyme and the ligand was chosen in its best docking pose, and a rectangular water box set at an edge distance of 10 Å from the protein was added [66]. A cubic system with an edge equal to 75 Å and crystalline angles of 90° (alpha, beta, and gamma) was then created. The periodic boundary conditions PME and FFT were generated automatically [67,68]. The force field adopted was the Charmm36m. All molecular dynamics simulations used the following fixed conditions: temperature of 313.15 K, pressure of 1 atm, and pH 7.0, and the TIP3P water model [69]. For each simulation, energy minimization was performed with ten thousand steps in ensemble NVT. Then, equilibrium simulations were performed at 10 ns in NpT ensemble. Finally, a production simulation starting at 10 ns, being extended until a situation of equilibrium of the complex was observed in the RMSD graph but never exceeding the time of 100 ns. All simulations had an integration step of 1 fs [69,70]. The graphics were visualized using Visual Molecular Dynamics (VMD) software (University of Illinois, Urbana-Champaign, IL, USA) [71].

4. Conclusions

This work evaluated the biocatalytic production of babassu biodiesel through enzymatic hydroesterification. This process has several advantages over conventional processes, as it allows the application of any raw material (vegetable oils, animal fats, and residual oil) regardless of its level of humidity and acidity. The proposed enzymatic hydrolysis was successfully performed since there was an increase in the acidity index of the oil from 0.75 mg NaOH/g to 127.03 mg NaOH/g.
A Taguchi design with an L9 orthogonal matrix was used to optimize the production of babassu esters. The analysis of variance of the factors related to the process (ANOVA) showed that the percentage of biocatalysts contributed significantly to the process (67.80% contribution) with a p-value of 0.043. Under optimal conditions (5 h of reaction at 40 °C, molar ratio FFA/alcohol 1:5, and 0.9% of biocatalyst), the theoretical conversion was 98.64%. After carrying out the proposed reaction, a 95.76% conversion was observed. The difference in the result between the theoretical conversion and the natural reaction can be explained due to the influence of external factors in the system. The kinematic viscosity and density results indicate that the biodiesel produced has potential for future applications.
The modeling of Eversa® transform 2.0 was validated by the Ramachandran graph, which showed 91.5% of the residues in favorable regions. In addition, the obtained model presented an average 3D-1D score ≥ 0.2 of 93,71% in the Verify 3D function, proving the compatibility of the atomic model with the sequence. Thus, the modeled enzyme proved valid and suitable for further studies.
The molecular docking results suggest that the ligands studied showed an energetic affinity with the enzyme’s catalytic site. It was possible to observe that all ligands studied interacted directly with the catalytic site and the oxyanion cavity. Through these results, the complexes were generated that were evaluated in molecular dynamics simulations.
Through molecular dynamics, it was possible to observe that the formed complexes accelerated high stability during the production and equivalence steps. The enzyme–substrate complexes showed low RMSD values, indicating that the chosen poses were appropriate for the study. The hydrogen bond graphs showed that the formed complexes showed stability, thus corroborating the data obtained in the present work. Furthermore, the theoretical and experimental results from this work indicate that fatty acids from babassu oil form stable complexes with the catalytic site of Eversa (Ser 153, His 268 and Asp 206), which may indicate a viable alternative for applications future

Author Contributions

Conceptualization, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R. and J.C.S.d.S.; methodology, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R. and J.C.S.d.S.; software, J.Y.N.H.A., F.T.T.C. and A.M.d.F.; validation, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R. and J.C.S.d.S.; formal analysis, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R., A.P.C., P.T.B., P.G.d.S.J., M.N.R.F., A.A.S.L., A.M.d.F. and J.C.S.d.S.; investigation, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R., A.P.C., P.T.B., P.G.d.S.J., M.N.R.F., A.A.S.L., A.M.d.F. and J.C.S.d.S.; writing—original draft preparation, J.Y.N.H.A., F.T.T.C., A.M.d.F., L.M.F., D.L., M.A.d.S.R. and J.C.S.d.S.; writing—review and editing, M.A.d.S.R. and J.C.S.d.S.; visualization, M.A.d.S.R. and J.C.S.d.S.; supervision, J.C.S.d.S. All authors have read and agreed to the published version of the manuscript.

Funding

Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (FUNCAP PS1-0186-00216.01.00/21).

Data Availability Statement

Not applicable.

Acknowledgments

We gratefully acknowledge the financial support of the following Brazilian Agencies for Scientific and Technological Development: Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (FUNCAP) (PS1-0186-00216.01.00/21; PS1-00186-00255.01.00/21), Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) (311062/2019-9; 308280/2017-2; 313647/2020-8), and Coordenação de Aperfeiçoamento de Ensino Superior (CAPES) (finance code 001).

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Ramachandran plot of protein obtained by homology. (□) Non-glycine and non-proline residues; (Δ) Number of glycine residues.
Figure 1. Ramachandran plot of protein obtained by homology. (□) Non-glycine and non-proline residues; (Δ) Number of glycine residues.
Catalysts 12 01322 g001
Figure 2. Results of structural verification of Eversa® lipase by Verify 3D.
Figure 2. Results of structural verification of Eversa® lipase by Verify 3D.
Catalysts 12 01322 g002
Figure 3. Diagrammatic representation of the interactions between the ligands and the enzyme’s active site. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecanoic acid.
Figure 3. Diagrammatic representation of the interactions between the ligands and the enzyme’s active site. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecanoic acid.
Catalysts 12 01322 g003
Figure 4. Root Mean Square Deviation (RMSD) for the initial conformation of the complexes versus the simulation time (nanoseconds) in the equilibration step. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Figure 4. Root Mean Square Deviation (RMSD) for the initial conformation of the complexes versus the simulation time (nanoseconds) in the equilibration step. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Catalysts 12 01322 g004
Figure 5. Square Root of Mean Square Deviation (RMSD) of the initial conformation of the complex versus the simulation time (ns) in the production stage. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Figure 5. Square Root of Mean Square Deviation (RMSD) of the initial conformation of the complex versus the simulation time (ns) in the production stage. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Catalysts 12 01322 g005
Figure 6. Hydrogen bonds formed between the protein and the ligand during the two simulation steps. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Figure 6. Hydrogen bonds formed between the protein and the ligand during the two simulation steps. (a) Octanoic acid; (b) Decanoic acid; (c) Dodecanoic acid; (d) Tetradecanoic acid; (e) Hexadecanoic acid; (f) cis-9-octadecenoic acid.
Catalysts 12 01322 g006aCatalysts 12 01322 g006b
Table 1. Experimental Taguchi design for the production of methyl esters from babassu.
Table 1. Experimental Taguchi design for the production of methyl esters from babassu.
ReactionTime (h)Temperature (°C)Molar Ratio (FFA/Methanol)Biocatalyst (% w/w)Conversion (%)S/N
11251:10.13.16 ± 0.489.99
21401:50.558.79 ± 0.07835.39
31551:90.919.43 ± 0.6625.77
43251:50.995.20 ± 0.03139.57
53401:90.17.75 ± 0.3017.79
63551:10.58.44 ± 0.5318.52
75251:90.594.65 ± 0.03639.52
85401:10.975.36 ± 0.5137.54
95551:50.12.80 ± 0.188.94
Table 2. Response to the averages of the S/N ratios.
Table 2. Response to the averages of the S/N ratios.
Factors/LevelsTime (h)Temperature (°C)The Molar Ratio (FFA/Methanol)Biocatalyst (% w/w)
123.7229.7022.0212.24
225.2930.2427.9731.14
328.6717.7427.6934.29
Delta4.9512.505.9522.05
Ranking4231
Table 3. Analysis of variance of the parameters that affect the esterification of babassu oil.
Table 3. Analysis of variance of the parameters that affect the esterification of babassu oil.
FactorsSSDFMSF-valuep-ValueContribution (%)
Time38.402---3.05%
Temperature299.302149.657.790.1123.77%
Molar ratio67.62233.8121.760.365.37%
Biocatalyst853.632426.81722.230.04367.80%
Residual38.40219.20 -
Total1258.986---
Table 4. Results obtained in the molecular docking process.
Table 4. Results obtained in the molecular docking process.
SubstrateChosen PoseBinding Affinity
(kCal/mol)
Vina
RMSD (Å)
Octanoic acid2−5.11.566
Decanoic acid2−5.41.561
Dodecanoic acid4−5.61.658
Tetradecanoic acid2−5.80.970
Hexadecanoic acid4−5.82.296
cis-9-octadecenoic acid5−6.21.426
Table 5. Interactions of ligands with lipase after docking.
Table 5. Interactions of ligands with lipase after docking.
SubstrateWaste Involved
Hydrogen BondsVan der Waals InteractionsHydrophobic Interactions
Octanoic acid-ASP276, HIS268, LEU154, SER91, SER153, TYR29ILE94, PHE265, TYR92,
Decanoic acidTYR92 (2.94 Å)ASP276, HIS268 LEU154, SER91, SER153, TYR29ILE94, PHE265
Dodecanoic acidHIS152 (3.06 Å)ASP276, HIS268, LEU154, SER153, TYR29ILE94, LEU262, PHE265, TYR92
Tetradecanoic acid-ASP276, HIS266, HIS268, HIS274, ILE94, LEU154, LEU285, SER153, TYR29LEU283, PHE265, TYR92, VAL269
Hexadecanoic acidHIS152 (2.73 Å), HIS268 (2.96 Å), SER153 (2.86 Å), TYR29 (2.78 Å), TYR29 (2.59 Å)ASP276, LEU154, LEU262, VAL269ILE94, LEU283, PHE265, TYR92
cis-9-octadecenoic acidSER 91 (2.27 Å)APS276, HIS266, HIS268, HIS274, LEU154, TYR29, SER 153, SER93ILE94, LEU283, PHE265, VAL269, TYR92
Table 6. Independent factors and their corresponding levels for the optimization of biodiesel production.
Table 6. Independent factors and their corresponding levels for the optimization of biodiesel production.
Time (hours)Temperature (°C)Molar Ratio (FFA/Methanol)Biocatalyst (% w/w)
Level 1 (L1)1250.1
Level 2 (L2)3400.5
Level 3 (L3)5550.9
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Alexandre, J.Y.N.H.; Cavalcante, F.T.T.; Freitas, L.M.; Castro, A.P.; Borges, P.T.; de Sousa Junior, P.G.; Filho, M.N.R.; Lopes, A.A.S.; da Fonseca, A.M.; Lomonaco, D.; et al. A Theoretical and Experimental Study for Enzymatic Biodiesel Production from Babassu Oil (Orbignya sp.) Using Eversa Lipase. Catalysts 2022, 12, 1322. https://doi.org/10.3390/catal12111322

AMA Style

Alexandre JYNH, Cavalcante FTT, Freitas LM, Castro AP, Borges PT, de Sousa Junior PG, Filho MNR, Lopes AAS, da Fonseca AM, Lomonaco D, et al. A Theoretical and Experimental Study for Enzymatic Biodiesel Production from Babassu Oil (Orbignya sp.) Using Eversa Lipase. Catalysts. 2022; 12(11):1322. https://doi.org/10.3390/catal12111322

Chicago/Turabian Style

Alexandre, Jeferson Yves Nunes Holanda, Francisco Thálysson Tavares Cavalcante, Lara Matias Freitas, Alyne Prudêncio Castro, Pedro Tavares Borges, Paulo Gonçalves de Sousa Junior, Manoel Nazareno Ribeiro Filho, Ada Amelia Sanders Lopes, Aluisio Marques da Fonseca, Diego Lomonaco, and et al. 2022. "A Theoretical and Experimental Study for Enzymatic Biodiesel Production from Babassu Oil (Orbignya sp.) Using Eversa Lipase" Catalysts 12, no. 11: 1322. https://doi.org/10.3390/catal12111322

APA Style

Alexandre, J. Y. N. H., Cavalcante, F. T. T., Freitas, L. M., Castro, A. P., Borges, P. T., de Sousa Junior, P. G., Filho, M. N. R., Lopes, A. A. S., da Fonseca, A. M., Lomonaco, D., de Sousa Rios, M. A., & Sousa dos Santos, J. C. (2022). A Theoretical and Experimental Study for Enzymatic Biodiesel Production from Babassu Oil (Orbignya sp.) Using Eversa Lipase. Catalysts, 12(11), 1322. https://doi.org/10.3390/catal12111322

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