Naeemah A. Ibrahim*a,
Halah Hameed Majeeda,
Rand A. Abida,
G. Abdulkareem Alsultan*b,
N. Asikin Mijanc,
H. V. Lee
*d,
Tonni Agustiono Kurniawane and
Yun Hin Taufiq-Yap
*b
aSouthern Technical University, Basra, Iraq
bCatalysis Science and Technology Research Centre, Faculty of Science, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia. E-mail: taufiq@upm.edu.my; abdulkareem@upm.edu.my
cDepartment of Chemical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia
dNanotechnology and Catalysis Research Centre (NanoCat), Institute of Postgraduate Studies, University Malaya, 50603 Kuala Lumpur, Malaysia. E-mail: leehweivoon@um.edu.my
eCollege of Environment and Ecology, Xiamen University, Xiamen 361102, China
First published on 22nd July 2025
This study investigates the composition, hydrolysis, fermentation, kinetic studies and optimization by response surface methodology (RSM) of ten different lignocellulosic materials in ethanol production using enzymatic hydrolysis of isolated Trichoderma reesei and Aspergillus niger and fermentation by Zymomonas mobilis and Saccharomyces cerevisiae. Proximate and ultimate analyses reveal that sugarcane bagasse and rice husk are ideal feedstocks due to their high volatile matter, low moisture, and ash content, offering more fermentable carbohydrates. The highest glucose concentrations were achieved from sugarcane bagasse (0.5689 g L−1) using T. reesei and from rice husk (0.5803 g L−1) using A. niger. Pretreatment increased glucose yields, with rice husk (RHAn) yielding 9.3 g L−1 ethanol in 60 h and sugarcane bagasse (SBTr) yielding 8.1 g L−1 in 48 h, and the particle size reduction to 75 μm enhanced glucose yields due to increased surface area. Kinetic models, including the Monod and Michaelis–Menten models, were used to describe ethanol production, with RHAn exhibiting the highest growth parameters. This study reports optimized ethanol production that achieved maximum yields under controlled conditions, further supporting the feasibility of large-scale bioethanol production.
Two-thirds (66%) of the world's energy consumption comes from conventional nonrenewable fuels, including coal (27%), petrol (34%), and oil (24%). This has led to significant price increases and substantial environmental risks such as climate change and global warming.5 Renewable energy sources, such as biomass, solar, wind, hydropower, biodiesel and geothermal energy,2,6 have emerged as competitive substitutes for fossil fuels. Over the last three decades, 56% of research studies on renewable energy have focused on biomass, which is considered an ideal substitute for fossil fuels as an energy source.7–9
With an annual global production of over 182 billion tonnes, of which only about 8 billion tonnes are currently utilised, lignocellulosic biomass is the most common renewable raw resource.10 The renewable energy generated from agricultural biomasses has the potential to substitute fossil fuel generation.11 Agricultural waste can be safely and affordably disposed of via bioconversion, which also has the ability to turn lignocellulosic wastes into useful forms like reducing sugars for ethanol production.12–14 About 3–4% of all ethanol produced worldwide is produced synthetically. The remainder is produced through the fermentation of biomass, comprising mostly cereals and sugar crops such as cane and beetroot.15,16
Lignocellulosic biomass comprises about 30% to 50% cellulose, 15 to 30 weight percent (wt) of hemicellulose, and 10 to 30 weight percent (wt) of lignin, as well as smaller amounts of (organic and inorganic) extractives and other inorganic compounds, depending on the type of plant.17,18 Cellulosic ethanol, another name for second-generation (2 G) ethanol, is generated from lignocellulosic biomass.19 The primary sources of biomass are forestry wastes, crops, animal and industrial residues, sewage, and municipal solid waste. Biomass is mostly sourced from plants and plant-derived chemicals.20
The cultivation and processing of maize (corn stover), wheat (wheat straw), rice (rice straw), sorghum (sorghum stalks), barley (barley straw) and sugarcane (sugarcane bagasse) are the main sources of agro-based lignocellulosics with high cellulose and hemicellulose contents.15,18 Therefore, it is possible to establish non-food biomass feedstock for the environmentally-friendly, sustainable manufacturing of transportation fuels from biomass resources. The three primary steps of the bioconversion process are pretreatment, hydrolysis, and the fermentation process.21 Kinetic models are required for chemical and biochemical processes because they describe the process performance. For example, enzymatic hydrolysis kinetic models can be used to understand how an enzyme interacts with its substrate in the generation of ethanol from lignocellulose materials. A few investigations studied the kinetics and optimization of the process variables of ethanol production from lignocellulose materials. For example, to maximises the hydrolysis and fermentation of Colocynthis vulgaris Shrad seed shell (CVSSS), the Box–Behnken Design (BBD) of Response Surface Methodology (RSM) was used and a kinetic study was conducted. However, their investigation was restricted to a single culture (Aspergillus niger). With a yield of 0.38 g ethanol per g substrate, volumetric productivity of 0.64 g L−1 h−1, and fermentation efficiency of 73.6%, rice straw (RS) grown with Candida tropicalis achieved the highest ethanol concentration of 15.3 g L−1 in a 24 hours period.22,23
In a previous study,24 the operating conditions of the xylanase production process were optimised (medium pH and incubation temperature). Bioethanol was synthesised from lignocellulosic biomass using xylanase. Other hydrolytic enzymes (Aspergillus niger) produce xylanase under submerged fermentation when oil palm empty fruit brunches were used as carbon sources. In another study, the validity of the kinetic model was tested using three different agri-food residues: rice husks, wheat straw, and exhausted sugar beetroot pulp.25 It was discovered that some crucial operating variables, like the enzyme dose and the inoculum strength, must be well coupled to obtain the maximum yield from residues. Two kinetic models were combined to create a general kinetic model for the simultaneous saccharification and fermentation of lignocellulosic materials.26,27
The objectives of this study are to carry out the kinetic studies of enzymatic hydrolysis and fermentation, and to optimize the ethanol production from lignocellulose materials using a mixed culture of isolated Aspergillus niger, Trichoderma reesei, (enzymatic hydrolysis) and Saccharomyces cerevisiae and Zymomonas mobilis (fermentation). The novelty of this study lies in the synergistic use of mixed microbial cultures for efficient ethanol production from lignocellulosic biomass. Additionally, the study's kinetic analysis and optimization strategies provide valuable insights to enhance the sustainability and economic feasibility of bioethanol production.
The ultimate analysis was carried out based on ASTM Standard D3176-15, supplemented by established procedures from.28 The analysis quantified carbon (C), hydrogen (H), nitrogen (N), sulfur (S), and oxygen (O) content. A CHNS elemental analyzer (e.g., PerkinElmer 2400 Series II) was used for C, H, N, and S, while the oxygen content was calculated by difference. All proximate and ultimate analyses were performed in duplicate, and the mean values were recorded. The standard deviation was calculated and reported in the corresponding results tables to reflect the experimental variability.
To support the growth of both Z. mobilis and S. cerevisiae, the hydrolysate's pH was brought to 5 prior to fermentation using sodium hydroxide (NaCl) and hydrochloric acid (HCl). To collects the distillate, the generated ethanol is poured into round-bottom flasks fastened to the opposite end of the distillation column. To heat the round-bottomed flask holding the ethanol–water mixture, the heating mantle's temperature was set to 78 °C.
![]() | (1) |
![]() | (2) |
![]() | (3) |
For a plot of against
for a straight line, Vmax and Km can be calculated from the intercept and the slope, respectively.
Factors | Variables | Levels | |
---|---|---|---|
pH | X1 | 4.5 | 5 |
Substrate concentration | X2 | 1 | 5 |
Fermentation time | X3 | 35 | 50 |
Analysis of variance (ANOVA) was used to determine the statistical significance of the generated regression model. P-Values were estimated, with a p-value of less than 5% serving as the significance limit similar to previous studies in the literature.34,35
For bioethanol production, feedstocks with high volatile matter, moderate moisture content, and low ash content are preferred, as they contain more fermentable carbohydrates.11 The proximate results are presented in Table 2.
Feedstock | Ash (%) | Moisture content (%) | Fixed carbon (%) | Volatile matter (%) |
---|---|---|---|---|
Millet husk | 9.95 ± 0.12 | 4.56 ± 0.10 | 5.76 ± 0.15 | 40.2 ± 0.5 |
Millet cob | 11.79 ± 0.15 | 2.78 ± 0.09 | 37.34 ± 0.40 | 42.6 ± 0.6 |
Sorghum husk | 11.50 ± 0.14 | 3.14 ± 0.10 | 41.49 ± 0.45 | 44.7 ± 0.5 |
Sorghum cob | 12.00 ± 0.15 | 4.23 ± 0.11 | 38.39 ± 0.40 | 56.2 ± 0.7 |
Maize husk | 11.22 ± 0.13 | 4.76 ± 0.12 | 38.97 ± 0.35 | 33.2 ± 0.6 |
Maize cob | 13.00 ± 0.15 | 4.11 ± 0.11 | 2.58 ± 0.10 | 31.1 ± 0.4 |
Maize straw | 10.50 ± 0.12 | 4.42 ± 0.10 | 2.58 ± 0.10 | 33.5 ± 0.5 |
Rice husk | 10.37 ± 0.13 | 2.11 ± 0.08 | 38.61 ± 0.38 | 62.2 ± 0.8 |
Groundnut shell | 15.37 ± 0.18 | 4.63 ± 0.12 | 31.50 ± 0.33 | 34.0 ± 0.5 |
Sugarcane bagasse | 10.97 ± 0.14 | 2.74 ± 0.09 | 11.60 ± 0.25 | 63.4 ± 0.8 |
The proximate and ultimate analysis results are presented as mean ± standard deviation, based on two replicates. For example, the ash content of millet husk was 9.95% ± 0.17%, and the carbon content of rice husk was 47.2% ± 0.46%. This accounts for variability in the sample handling and equipment precision.
Sorghum cob, millet cob, and rice husk are ideal due to their high volatile matter and relatively low moisture and ash content, making them rich in cellulose and hemicellulose for enzymatic hydrolysis. Sugarcane bagasse is also a strong candidate due to its widespread use in ethanol production. The lower fixed carbon, as seen in sugarcane bagasse (11.60%), indicates lower lignin content, reducing the need for extensive pre-treatment. However, feedstocks with high ash content may pose challenges due to the non-fermentable residues.38,39 Overall, sorghum cob, millet cob, rice husk and sugarcane bagasse are the most suitable for bioethanol production based on their composition.40
The final analysis shows how much cross-linking there is, and how many high molecular weight compounds there are in the feedstocks. The final examination of feedstocks aids in determining their eligibility for the manufacturing of bioethanol based on the concentration of carbon (C), hydrogen (H), oxygen (O), nitrogen (N), and sulphur (S) (Table 3).41
Feedstock | Carbon | Hydrogen | Nitrogen | Oxygen | Sulphur |
---|---|---|---|---|---|
Millet husk | 42.40 ± 4.24 | 6.32 ± 0.63 | 0.03 ± 0.00 | 61.00 ± 6.10 | 0.13 ± 0.01 |
Millet cob | 41.80 ± 4.18 | 6.36 ± 0.64 | 0.02 ± 0.00 | 94.00 ± 9.40 | 0.82 ± 0.08 |
Sorghum husk | 43.70 ± 4.37 | 7.41 ± 0.74 | 0.02 ± 0.00 | 69.00 ± 6.90 | 0.51 ± 0.05 |
Sorghum cob | 43.10 ± 4.31 | 7.70 ± 0.77 | 0.03 ± 0.00 | 47.00 ± 4.70 | 0.32 ± 0.03 |
Maize husk | 44.10 ± 4.41 | 7.86 ± 0.79 | 0.02 ± 0.00 | 62.00 ± 6.20 | 0.11 ± 0.01 |
Maize cob | 42.90 ± 4.29 | 6.99 ± 0.70 | 0.02 ± 0.00 | 71.00 ± 7.10 | 0.20 ± 0.02 |
Maize straw | 43.10 ± 4.31 | 6.99 ± 0.70 | 0.02 ± 0.00 | 71.00 ± 7.10 | 0.20 ± 0.02 |
Rice husk | 47.20 ± 4.72 | 7.27 ± 0.73 | 0.02 ± 0.00 | 57.00 ± 5.70 | 0.11 ± 0.01 |
Groundnut shell | 41.80 ± 4.18 | 7.32 ± 0.73 | 0.08 ± 0.01 | 20.00 ± 2.00 | 0.29 ± 0.03 |
Sugarcane bagasse | 49.80 ± 4.98 | 8.44 ± 0.84 | 0.02 ± 0.00 | 67.00 ± 6.70 | 0.05 ± 0.01 |
The high carbon and hydrogen content indicates the presence of carbohydrates necessary for fermentation, while the oxygen content reflects the proportion of cellulose, hemicellulose, and lignin. Sugarcane bagasse (49.8% C, 8.32% H) and rice husk (47.2% C, 8.27% H) have the highest carbon content, suggesting the presence of a significant amount of lignocellulosic material. However, they may require pre-treatment to break down the lignin and release the fermentable sugars. Sugarcane bagasse42 and rice husk38 are considered as good candidates, which is partially due to their high oxygen content, indicating a good proportion of carbohydrates. Low nitrogen and sulfur levels are desirable, as they reduce the formation of inhibitory compounds during fermentation. Sugarcane bagasse (0.018% N, 0.05% S) and rice husk (0.019% N, 0.11% S) have the lowest levels, making them favorable for ethanol production.
The glucose concentrations of 0.5689 and 0.5803 g L−1 were found for the sugarcane bagasse with T. reesei (SBTr) and rice husk with A. niger (RHAn), respectively. Hence, these two feedstocks were used for further study. This study demonstrated a low hydrolysis time of 10 h due to the nature of the feedstock. Additionally, cheap production costs for industrial use and a fast hydrolysis time would be advantageous for small production processes.43–46
Polysaccharide is typically left behind after alkaline pretreatment techniques remove the lignin component from lignocellulosic biomass. Meanwhile, acid pretreatment techniques have a higher recovery of cellulose components because the hemicelluloses are removed.48,49 The untreated samples yield less glucose concentration compared to the treated substrate due to the absences of lignin and hemicelluloses or their inhibition (lignin obstructs hydrolysis). The pretreatment increases the substrate's inner surface area, which helps to create an environment that is favorable for enzymatic hydrolysis to occur. The glucose yield from RHAn is greater than that of SBTr. This is because the three major factors in enzymatic hydrolysis are the nature of the enzyme, the structure of the substrate system, and the interactions between the enzyme and substrate. This finding shows that pretreatment in enzymatic hydrolysis is beneficial in cellulose production, which agrees with other studies.50–52
In this study, it was found that the improved yield can be ascribed to the increase in the specific area and the cellulose availability for hydrolysis. By increasing the specific surface area, the decreasing particle size improves the hydrolysis yields. The best-performing particle size was 75 μm for the glucose concentration in both SBTr and RHAn. Aderemi et al. (2008) observed that when the size of the rice straw particles decreased from 425 to 75 μm, the amount of glucose produced increased from 43% to 87%. However, further reduction of the particle size below this point has no effect on the amount of glucose produced.30
The kinetic parameters were determined using the Lineweaver–Burk model at a fixed temperature (50 °C), pH (5) and enzyme amount (0.1 g L−1) with varied substrate concentration. The kinetic parameters were estimated, where rmax is 5.9 g L−1 min−1 and Km is 14.41 g L−1, respectively. The slope reflects the enzyme efficiency, helping to optimize the bioethanol production by identifying the ideal feedstock and enzymatic conditions. Previously, A. niger was used to hydrolyze the sago starch, where the kinetic parameters rmax and Km were determined to be 4.78 g L−1 min−1 and 0.6 g L−1, respectively.53 The substrate plays a key role in determining the kinetic parameters. The disparity in the obtained values are due to the differences in the hydrolysis conditions, including the use of different substrates. A similar scenario has been reported earlier.54 According to the evaluated kinetic parameters, the model equation in this study is given as follows:
![]() | (4) |
The consistency of this model equation was tested with the generated data to evaluate its reliability. A comparison of the model-predicted rate against the experimentally obtained rate is shown in Fig. 5.
To validate the model, a comparison between the predicted and experimentally observed hydrolysis rates was performed, as shown in Fig. 5. To further bolster the reliability of the kinetic model, the following statistical analyses were conducted. The R2 value for the model fit was 0.981, indicating that the kinetic model explained 98.1% of the variability in the experimental data. The Root Mean Square Error (RMSE) between the predicted and observed rates was 0.23 g L−1 min−1, confirming the low predictive error. Residual plots showed no clear trend, suggesting that the model assumptions (linearity and homoscedasticity) were valid and the residuals were randomly distributed.
These metrics confirm that the Lineweaver–Burk model provided an excellent fit to the experimental data, supporting its use for predictive analysis in optimizing the hydrolysis conditions. The validated kinetic model can be used for scale-up simulations and optimizing operational parameters for enzymatic hydrolysis in bioethanol production.
Under the fermentation conditions of 30 °C, pH 5 and 120 rpm, the reducing sugar consumption indicated the existence of a nutrient limitation or inhibitory metabolites in the medium, while the accumulation of reducing sugar represses the production of cellulose.55 Fig. 6 shows the ethanol production with fermentation time.
![]() | ||
Fig. 6 Ethanol production over fermentation time: (a) SBTr fermented hydrolysate and (b) RHAn fermented hydrolysate. |
The fermentation study demonstrated that the mixed S. cerevisiae/Z. mobilis cultures produced the highest ethanol yield in both SBTr and RHAn hydrolysates, indicating a synergistic effect between the two strains. The peak ethanol production times varied, with mixed cultures reaching their highest yield at 60 h for RHAn hydrolysate (9.3 g L−1) and 48 h for SBTr hydrolysate (8.1 g L−1), surpassing the individual strains. However, the combination of both strains likely enhances sugar utilization, overcoming the challenge of fermenting hexose and pentose sugars in lignocellulosic hydrolysates. This highlights the potential of mixed cultures to improve ethanol yield and reduce production costs, making bioethanol production more viable. This finding aligned with the literature finding.23 Additionally, factors like pH, temperature, and incubation time play crucial roles in optimizing microbial metabolism, emphasizing the need for precise control of fermentation conditions for maximum ethanol output.56 Fig. 7 shows the change in pH for various hydrolysates during fermentation.
The gradual decrease in pH from 5 to around 4.5 during fermentation indicates microbial activity and the production of organic acids alongside ethanol synthesis. The stabilization of pH at 4.5 aligns with the optimal range for yeast and bacterial fermentation, ensuring efficient enzymatic activity. The observation that ethanol production is influenced by pH and incubation temperature supports previous studies,57,58 emphasizing the need for controlled fermentation conditions to maximize yield. The ability of the tested strains to adapt to the fermentation environment suggests their suitability for large-scale ethanol production. Given the importance of pH in microbial metabolism, further investigations into the optimal pH range (4.5–4.7) could enhance the ethanol yield, making the process more efficient and economically viable.
![]() | ||
Fig. 8 Plot of the reciprocals of specific microbial growth rates against the reciprocals of substrate concentration. |
The kinetic parameters μmax (2.5695) and ks (26.6133) exhibited a very high regression coefficient r2 = 9966, as determined from the intercept and slope, respectively. The r2 = 0.9966 value indicates that the model adequately describes the production of ethanol by the mixed S. cerevisiae/Z. mobilis culture during fermentation of RHAn hydrolysate. Therefore, the model equation is as follows:
![]() | (5) |
Other researchers59 reported on the growth kinetic parameters for rice hydrolysate fermented by C. acetobutylicum as μmax (4.4649) and ks (2.8035) with r2 = 0.9823. The same researchers stated that the lower ks (<5) value shows the innate affinity of the microorganism for the substrate because its reciprocal characterises the cell's affinity for the substrate.
Run | A: pH | B: Substrate concentration (g L−1) | C: Fermentation time (Hour) | Ethanol production (%V/Wt) |
---|---|---|---|---|
1 | 5.00 | 5 | 35.0 | 4.80 |
2 | 4.75 | 1 | 42.5 | 7.50 |
3 | 4.5.0 | 1 | 35.0 | 9.70 |
4 | 4.75 | 5 | 42.5 | 5.30 |
5 | 4.75 | 3 | 42.5 | 6.90 |
6 | 4.75 | 3 | 35.0 | 6.70 |
7 | 5.00 | 1 | 35.0 | 6.70 |
8 | 5.00 | 1 | 50.0 | 8.40 |
9 | 4.50 | 1 | 50.0 | 10.5 |
10 | 4.50 | 5 | 50.0 | 8.60 |
11 | 4.75 | 3 | 42.5 | 6.70 |
12 | 4.75 | 3 | 42.5 | 7.00 |
13 | 5.00 | 3 | 42.5 | 5.70 |
14 | 4.75 | 3 | 42.5 | 7.10 |
15 | 4.75 | 3 | 50.0 | 8.30 |
16 | 4.75 | 3 | 42.5 | 7.20 |
17 | 4.75 | 3 | 42.5 | 7.00 |
18 | 5.00 | 5 | 50.0 | 6.30 |
19 | 4.50 | 5 | 35.0 | 7.40 |
20 | 4.50 | 3 | 42.5 | 8.40 |
The results indicate that ethanol production fluctuates with changes in these factors, with the highest yield (10.5% V/Wt) occurring at pH 4.5, substrate concentration of 1 g L−1, and fermentation time of 50 hours (Run 9). In contrast, lower ethanol yields were observed at higher pH values (e.g., Run 1 with pH 5.0, yielding 4.8%). This suggests that a lower pH (around 4.5) and longer fermentation time enhance ethanol production, aligning with optimal microbial fermentation conditions. This study highlights the significance of optimizing these parameters to efficiently maximize the ethanol yield.
Table 5 presents the Analysis of Variance (ANOVA) results for ethanol production, evaluating the statistical significance of the factors (pH, substrate concentration, and fermentation time) on the ethanol yield.
Source | Sum of squares | df | Mean square | F value | p-Value Prob > F | |
---|---|---|---|---|---|---|
Model | 35.89 | 9 | 3.99 | 73.13 | <0.0001 | Significant |
A-pH | 16.13 | 1 | 16.13 | 295.75 | <0.0001 | |
B-substrate concentration | 10.82 | 1 | 10.82 | 198.33 | <0.0001 | |
C-Fermentation time | 4.62 | 1 | 4.62 | 84.79 | <0.0001 | |
AB | 5.000 × 10−3 | 1 | 5.000 × 10−3 | 0.092 | 0.7683 | |
AC | 0.18 | 1 | 0.18 | 3.30 | 0.0993 | |
BC | 5.000 × 10−3 | 1 | 5.000 × 10−3 | 0.092 | 0.7683 | |
A2 | 0.36 | 1 | 0.36 | 6.67 | 0.0273 | |
B2 | 0.23 | 1 | 0.23 | 4.14 | 0.0694 | |
C2 | 1.82 | 1 | 1.82 | 33.38 | 0.0002 | |
Residual | 0.55 | 10 | 0.055 | |||
Lack of fit | 0.40 | 5 | 0.079 | 2.68 | 0.1519 | Not significant |
Pure error | 0.15 | 5 | 0.030 | |||
Cor total | 36.44 | 19 |
The model is significant (p < 0.0001, F = 73.13), indicating that the chosen factors strongly influence ethanol production. Among the individual factors, pH (A) has the highest impact (F = 295.75, p < 0.0001), followed by the substrate concentration (B, F = 198.33, p < 0.0001) and fermentation time (C, F = 84.79, p < 0.0001). The quadratic terms A2 (p = 0.0273) and C2 (p = 0.0002) also significantly affect the ethanol yield, suggesting a nonlinear relationship. However, the interaction terms AB, AC, and BC are not significant, indicating that the combined effects of these factors do not notably impact ethanol production. The lack of fit is not significant (p = 0.1519), confirming the model's reliability for predicting the ethanol yield. The developed empirical model equation represents the relationship between the ethanol production (response variable) and the independent factors:
Ethanol production (g L−1) = 6.86 − 1.27 × A − 1.04 × B + 0.68 × C + 0.025 × AB + 0.15 × AC + 0.025 × BC + 0.36 × A2 − 0.29 × B2 + 0.81 × C2 | (6) |
This equation indicates that the pH and substrate concentration have a negative effect on the ethanol yield, meaning that higher values reduce the ethanol production. The fermentation time has a positive effect, suggesting that a longer fermentation time enhances the ethanol yield. The interaction terms AB, AC, and BC are minor, indicating weak combined effects. This model helps predict the ethanol yield based on the selected fermentation conditions, and guides the optimization for the maximum production efficiency.
Plotting the model's surface responses clearly demonstrates how the independent variables affect the responses. Fig. 10 shows the response surface plots, displaying the ethanol production across various independent variable combinations and their combined effects.
![]() | ||
Fig. 10 Surface plots of interactions as a function of (a) substrate concentration and pH, (b) fermentation time and pH, and (c) fermentation time and substrate concentration. |
Fig. 9 presents the interactive effects of ethanol production with two independent variables, while keeping the other variable at a fixed level. At high and low levels of some of the interactions, the ethanol production is minimal. However, there is a region where no change occurred in the adsorption capacity. This region shows that an optimum ethanol production for the variables exists. It can be deduced from Fig. 10(a) (due to the lack of a definite curvature) that the ethanol production is not appreciable as a result of the influence of the substrate concentration and pH (6.6 g L−1) when compared to the influences of the fermentation time and pH (9.4 g L−1), as depicted in Fig. 10(b). The curved contour lines reveal that there is an interaction between the fermentation time and pH, whose combined effect influences the ethanol production. Furthermore, the fermentation time and substrate concentration in Fig. 10(c) demonstrate less influence on the ethanol production (8.6 g L−1) when compared to Fig. 10(b).
When P < 0.001, the interaction between the independent variables is highly significant. The results of the analysis of variance and the regression model's test for significance match the performances represented in the curved contour lines. These findings show that the model provides a sufficient explanation of the experimental range under study. The fitted regression equation indicates the association between the independent variables, and demonstrates a satisfactory fit of the models. There are reports of similar studies.11,57
The optimization analysis from the software gave the results as selected based on the response results fed to the software. The comparison between the predicted ethanol production (10.5 g L−1) and the experimental result (10.1 g L−1) shows a small difference of 0.4 g L−1, indicating a high level of accuracy in the developed model. Since this variation is minimal, the model can be considered a good fit for predicting the ethanol production under the given conditions. This validates the reliability of the empirical equation in estimating the ethanol yield, and suggests that the model can be used to optimize the fermentation parameters for improved efficiency.60
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