3.1. Modeling for the Acid Hydrolysis of Garnacha Bagasse
The glucose concentration in the hydrolysates ranged from 3.24 to 5.40 g/L. Data fitted well to a two-factor interaction mathematical model, and no trials were detected as outliers in Cook’s distance test. By examining the sequential model sum of squares for both the partial and complete models, the mathematical model was chosen. The F-value of the model was 37.46, and the p-values of the model terms were significant (p < 0.05), implying that the glucose concentration was dependent on the hydrolysis conditions. There is only a 0.01% chance that an F-value this large could occur due to noise. The lack of fit F-value of 2.49 implied that it was not significant relative to the pure error. There is a 31.40% chance that a lack of fit F-value this large could occur due to noise.
The R2 value obtained was 0.97, which represents the relative predictive power of the model. However, it is important to note that this value alone does not determine whether the model can be applied to the entire population or only to the analyzed samples. To further evaluate the model’s performance, additional parameters such as adjusted R2, predicted R2 and adequate precision are considered. The adjusted R2 is a statistic that compares the goodness-of-fit among regression models with different numbers of independent variables. It considers whether additional variables contribute value to the model. If the model includes unnecessary variables, the adjusted R2 will decrease as the number of terms increases. On the other hand, the predicted R2 measures the model’s ability to accurately predict response values. When comparing the adjusted R2 and predicted R2, it is considered acceptable if the difference between them is within 0.2 units. This reasonable agreement indicates that the model performs well in predicting values. In summary, while the initial R2 value of 0.97 provides insight into the model’s predictive power, it is essential to consider additional parameters like adjusted R2 and predicted R2 to assess the model’s applicability and accuracy.
In this case, the difference between the predicted R2 (0.90) and the adjusted R2 (0.94) was less than 0.2, which is reasonable. Adequate precision is a signal/noise ratio. It compares the range of the predicted values at the design points to the average prediction error. Ratios greater than 4 indicate adequate model discrimination. The adequate precision obtained was 18.92, implying an adequate signal.
The F-values of the terms allow for determining which component has a greater effect on the response. The F-values of the model terms indicated that the glucose concentration after hydrolysis treatment was mainly affected by the acid concentration (F-value = 72.56) and the temperature (F-value = 70.03) of the process, followed by the time (F-value = 52.03). The interaction between the components promoted a lower effect on the glucose concentration. Equation (4) predicts the glucose content of hydrolysate in terms of actual factors, where the levels should be specified in the original units for each factor. According to the initial setup,
A refers to sulfuric acid concentration (%
w/
w),
B is time (min), and
C is the temperature (°C):
The 120 min hydrolysis surface response (
Figure 1A) clearly shows how the glucose concentration depended mainly on the increase in acid concentration and temperature.
Data showed a low cellobiose content in the hydrolysates, obtaining a maximum of 0.48 g/L. Data fitted well to a quadratic mathematical model, and no trials were detected as outliers in Cook’s distance test. The model F-value of 23.38 implied the model was significant (p-value < 0.05). There was only a 0.14% chance that an F-value this large could occur due to noise. The content of cellobiose mainly depended on the acid concentration, the quadratic effect of the temperature, and the interaction between temperature and time. However, the interaction between acid concentration time, acid concentration temperature, and the quadratic effect of the concentration and time were also significant terms.
The R
2 value (0.98), the predicted R
2 (0.75), and the adjusted R
2 (0.94) were in reasonable agreement, and the adequate precision value (14.12) was higher than 4, implying an adequate signal. Equation (5) predicts the cellobiose content of hydrolysate in terms of actual factors where
A is the sulfuric acid concentration (%
w/
w),
B is time (min), and
C is the temperature (°C):
According to the response surface, considering the time of 120 min (
Figure 1B), the cellobiose concentration in the hydrolysate mainly increased with the acid concentration.
The concentration of arabinose ranged between 0.66–1.64 g/L. In order to obtain a better predictive model, trial 1 was ignored since it was detected as an outlier in Cook’s distance test. Thus, data fit well to a linear model. However, a reduction of the model was necessary, as the statistical values indicated that the acid concentration had no significant effect. Furthermore, considering all parameters (acid concentration, temperature, and time) in the model, the predicted R
2 was not as close to the adjusted R
2 as one might normally expect (
Table 5). By reducing the model and considering only the temperature and time variables, it was possible to obtain a good predictive model with good statistical values. The model F-value of 11.19 implied the model was significant (
p-value < 0.05). There was only a 0.22% chance that an F-value this large could occur due to noise. The content of cellobiose depended on the linear effect of the temperature (F-value = 19.18). The R
2 value was 0.67, and the predicted R
2 (0.42) was in reasonable agreement with the adjusted R
2 (0.61). Additionally, the adequate precision value (9.09) was higher than 4, implying an adequate signal.
Equation (6) predicts the arabinose content of hydrolysate in terms of actual factors:
According to the response surface (time 120 min) (
Figure 1C), the arabinose concentration in the hydrolysate mainly increased with the increase of the temperature treatment.
The last monosaccharide analyzed was xylose, which ranged from 3.24 to 5.40 g/L. Data fitted well to a linear mathematical model after the data transformation into power with lambda 2.71 following the Box-Cox plot recommendation to obtain a better fit of the equation. Therefore, the model obtained was significant, with an F-value of 12.85 and a p-value < 0.05. There was only a 0.06% chance that an F-value this large could occur due to noise. By analyzing the F-values and p-values of the model terms, the acid concentration and temperature had a significant effect on the xylose concentration. The lack of fit F-value of 5.34 implied that it was not significant relative to the pure error. There is a 16.76% chance that a lack of fit F-value this large could occur due to noise.
The value of R
2 was 0.78. The predicted R
2 (0.61) was in reasonable agreement with the adjusted R
2 (0.72). The adequate precision was higher than 4 (10.97), implying an adequate signal. Equation (7) predicts the xylose content of hydrolysate in terms of actual factors:
According to the response surface (
Figure 1D), the xylose concentration in the hydrolysate depended mainly on the temperature followed by the acid concentration.
Figure 1D plots the variation of xylose concentration as a function of temperature and acid concentration at 120 min hydrolysis time.
Our data were in agreement with previous data observed for the acid hydrolysis of the grape stalk, where maximum glucose (3.22 g/L), xylose (7.29 g/L), and arabinose (0.91 g/L) concentrations from the grape stalk after hydrolysis treatment with sulfuric acid at 3.5% for 60 min were reported [
39]. In addition to the bagasse evaluated, which also included skins, pulp, and seeds, the monosaccharide profile after the hydrolysis was similar to those observed for grape stalks. The main reason is that most of the fermentable sugars in the bagasse were previously consumed by the yeasts during alcoholic fermentation in the winemaking process. In addition, bagasse was subjected to a draining and pressing process during wine production to extract all the monosaccharide-rich must. Higher glucose concentration was reported in studies in which whole grapes or grape juice were used directly [
14,
40].
On the other hand, the composition of potential inhibitor compounds such as acetic acid released from acetyl groups, furfural, and HMF generated by sugar dehydration was measured as a function of the hydrolysis conditions. Acetic acid concentration ranged 0.48–0.98 g/L. Originally, data fitted well to a quadratic mathematical model, and no trials were detected as outliers. The model obtained was significant with an F-value of 22.55,
p-value < 0.05, and there was only a 0.16% chance that an F-value this large could occur due to noise. However, the difference between the predicted R
2 (0.63) and the fitted R
2 (0.93) was greater than 0.2. This observation could suggest the presence of a significant block effect or potentially highlight an issue with the model. For this reason, a reduction of the model has been taken into account to improve the statistical fits. The F-values and
p-values of the model terms indicated that the interaction time–temperature and the quadratic effect of the temperature had no significant effect on the acetic acid concentration. Thus, these parameters were removed from the model. The reduced model had an F-value of 67.14 and a
p-value < 0.0001 (
Table 4). Statistical analysis indicated that the acetic acid concentration mainly depended on the temperature (F-value 256.01) of the hydrolysis, followed by the sulfuric acid concentration (F-value 81.91). The lack of fit F-value of 5.71 implied there was a 15.45% chance that a lack of Fit F-value this large could occur due to noise.
The R2 value of the reduced model was 0.99, and the predicted R2 (0.97) was in reasonable agreement with the adjusted R2 (0.90). The adequate precision was 25.00, indicating an adequate signal.
Equation (8) predicts the acetic acid content of hydrolysate in terms of actual factors:
Figure 2A shows the response surface of the acetic acid concentration at 120 min, showing the strong dependence on temperature, followed by the acid concentration.
The maximum furfural concentration was 146.35 mg/L. The Box-Cox plot recommended transforming the data to base 10 logarithms to obtain a better fit of the equation. As a result, data fitted well to a linear mathematical model and no trials were detected as outliers. The model F-value of 6.39 and p-value < 0.05 pointed out the model was significant. There was only a 0.18% chance that an F-value this large could occur due to noise. Note that the F-values and p-values of the model terms suggested that firstly, the sulfuric acid concentration and then time were the parameters with higher effect on the furfural production.
The value of R2 was 0.64, but the value of the predicted R² (0.30) was not as close to the adjusted R² (0.54) as one might normally expect. This may indicate a large block effect. However, the adequate precision was higher (7.65), indicating an adequate signal, and this model can be used to navigate the design space.
Equation (9) forecasts the furfural concentration (mg/L) of hydrolysate in terms of actual factors:
Hence, the furfural concentration in the hydrolysate depended on the sulfuric acid concentration and the set time of the process, as the response surface graph (
Figure 2B) shows for 125 °C.
In the case of HMF, the maximum concentration reached was slightly lower than furfural, being up to 124.79 mg/L. The Box-Cox plot recommended transforming the HMF concentration data to a square root of the HMF concentration to better fit. As a result, data fitted well to a linear mathematical model, and no trials were detected as outliers. The model F-value of 7.36 and p-value < 0.05 pointed out the model was significant. There was only a 3.46% chance that an F-value this large could occur due to noise. Unlike the effect observed for furfural, the content of HMF depended on the temperature and time of the hydrolysis.
The value of R2 (0.67) and the predicted R² (0.30) was not as close to the adjusted R² (0.58) as one might normally expect. This may indicate a large block effect. However, the adequate precision was higher (8.49), indicating an adequate signal, and this model can be used to navigate the design space.
Equation (10) estimates the HMF concentration (mg/L) of hydrolysate in terms of actual factors:
Figure 2C represents the response surface of HMF production at a constant acid concentration of 3%. Note that the HMF production was dependent on the set time and temperature of the heat treatment.
Regarding the presence of antioxidant compounds after hydrolysis treatment, the TPC was measured. Data showed that the TPC of the hydrolyzed bagasse extract remained between 7.23–12.72 mg GAE/g dried Garnacha Tintorera powder. The ANOVA analysis indicated that the model was not significant (p-value > 0.05). Hence, the parameters selected (sulfuric acid concentration, temperature, and time) in the range studied had no significant effect on the TPC obtained in the bagasse hydrolysate.
Considering the results, the TPC of aqueous bagasse extract without hydrolysis treatment was measured. For this purpose, an aqueous bagasse extract was prepared with the same solid/liquid ratio (1:10) under vigorous stirring for 1 h at 30 °C. Under these conditions, the bagasse aliquot had a TPC of 4.39 mg GAE/g dried Garnacha Tintorera powder. Comparing the results by hydrolysis conditions, it was possible to obtain more than double the TPC concentration. Additionally, the TPC of the hydrolyzed bagasse extract was higher than that reported by other works using other extraction methods, such as ohmic heating treatment (3.0–9.8 mg GAE/g bagasse) [
5]. On the other side, it was reported a higher TPC yield (22.61 mg GAE/g) from bagasse juice in ethanol (50%) extraction with a relation of 50 mL per gram of bagasse [
41].
3.4. Co-Production of Bacterial Cellulose and Gluconic Acid
The hydrolysate of grape bagasse and potato with a high content of phenolic compounds was tested for the co-production of BC and gluconic acid in an airlift bioreactor (
Figure 4). The airlift bioreactor allows for increased oxygen delivery using a lower power supply than a stirred tank bioreactor [
43]. Additionally, this reactor produces less shear stress than a stirred tank [
43].
The neutralized culture media were used for the co-production of BC and gluconic acid by the fermentation of K. xylinus for 8 days to study the suitability of the developed low-cost culture media and confirm that the current concentration of microbial growth inhibitors did not limit its application. The fermentation time was established on the basis of previous experience and the monitoring of glucose concentration, gluconic acid, and pH every 24 h.
The initial composition of the resulting bagasse–potato culture medium was: 30.14 g glucose/L, 3.14 g cellobiose/L, 4.59 g xylose/L, 0.89 g arabinose/L, 4.63 g gluconic acid/L, 0.84 g acetic acid/L, 0.22 mg HMF/L and 10.91 mg furfural/L. Results confirmed that the hydrolyzed potato starch increased the glucose concentration in the current culture media by more than 6-fold compared with the pure Garnacha grape bagasse hydrolysates [
6,
44]. The glucose concentrations measured are in range with data previously obtained for pure hydrolysates of potato [
6]. The studied culture medium showed higher glucose concentration than those reported for the acid hydrolysis of potato peelings [
45] due to the highest amount of starch using the whole potato instead of just the peel. The cellobiose, xylose, and arabinose were products derived from the hydrolysis of pectic and hemicellulosic polysaccharides of the grape bagasse, as indicated by the bagasse hydrolysis data.
Figure 5 shows the airlift bioreactor with a detail of the BC produced as fibers. A sample of the fermentation medium was taken every 24 h to analyze the content of the main compounds.
Figure 6A illustrates the concentration of glucose and gluconic acid during fermentation. A 2-day lag phase was observed before glucose consumption began. Glucose is the primary carbon source in the medium, and its decline was attributed to bacterial growth and BC production. Furthermore, the time with the lower glucose concentrations matched with the highest production of gluconic acid, reaching a concentration of 26.41 g/L. The ability of
K. xylinus to produce gluconic acid has been previously documented in the literature [
30]. The glucose dehydrogenase located in the cytoplasmic membrane of
K. xylinus oxidizes glucose to gluconic acid. The conversion of glucose into gluconic acid resulted in a strong decrease in BC production [
30].
Additionally, gluconic acid promotes a significant decrease in the pH of the culture medium, which inhibits bacteria activity and BC synthesis [
30,
46,
47]. Despite the fact that
K. xylinus is able to assimilate gluconic acid to continue producing BC, BC production decreases drastically, and it may not be profitable to continue fermentation in static conditions [
35]. One way to address the limit on BC production and reduce its cost is to identify optimal conditions for maximum production of both BC and gluconic acid. This would enable the simultaneous production of two valuable and commercially significant products in a single fermentation process.
Kinetics of the microbial growth inhibitors are shown in
Figure 6B. The initial concentration of furfural (10.91 mg/L), HMF (0.22 mg/L), and acetic acid (0.84 g/L) as non-desirable by-products of the hydrolysis did not inhibit the bacterial growth. Previous work reported a significant inhibitory effect of HMF and furfural on the activity of
K. xylinus with a concentration of 2 g/L HMF and 0.4 g/L furfural [
48]. It should be noted that the activity of
K. xylinus promoted the decrease of furfural and HMF. The furfural concentration drastically decreased in 2 days until 0 mg/L. To a lesser extent, the HMF concentration decreased up to 0.02 mg/L at the end of the fermentation (8 days). The results showed that
K. xylinus bacteria were capable of consuming HMF and furfural at the evaluated concentration levels, consistent with findings reported in other studies [
35]. These findings suggest that
K. xylinus could be used in bioremediation efforts to address HMF- and furfural-contaminated environments, potentially providing a cost-effective and sustainable solution for environmental cleanup. This application should be evaluated in future studies.
After 8 days of fermentation, 4 g dried BC/L with a productivity of 0.021 g/L·h were obtained (
Figure 4). In static fermentation conditions, using Petri dishes with 25 mL of the proposed culture broth, similar BC concentration values were achieved (4 g dried BC/L) [
35]. Despite observing similar BC concentration levels, the main difference between static and airlift fermentation was the efficacy and yield values. In the airlift bioreactor, the BC production by the fermentation of
K. xylinus in Garnacha bagasse–potato culture broth showed a BC efficiency of 0.37 g/g and a yield of 0.47 g/g. In static conditions, BC efficacy was 0.12 g/g, and the yield was 0.13 g/g [
35]. This implies that similar BC concentration values can be achieved in an airlift fermenter as in static conditions by consuming less glucose. As reflected by the data, under static conditions at day 7 of fermentation, the glucose concentration in the medium is approximately 1 g/L, being 0 g/L at day 8 [
35]. However, in the airlift fermenter, at the end of fermentation, there was still a glucose concentration of 6.81 g/L.
Regarding gluconic acid, 26.41 g gluconic acid/L with a productivity of 0.14 g/L·h, an efficiency of 0.93 g/g, and a yield of 0.72 g/g were measured. Airlift fermentation allowed an increase in gluconic acid production 2,68 times compared to static fermentation (9.86 g/L). Note that under static conditions, to reach BC concentrations similar to airlift, it was necessary for the bacteria to consume gluconic acid as a carbon source, which significantly reduced the availability of this compound. However, through the aeration process generated in the airlift, it is possible to reach maximum values of both BC and gluconic acid with lower consumption of glucose as a carbon source, which resulted in higher efficiency and yield values.
The BC yield reached in the present work was higher than those observed in the literature; meanwhile, productivity was higher or similar. For example, fermentations with winery wastes or grape juice with higher initial glucose content reported production of 4 g/L in 18 days (productivity of 0.009 g/L·h) using grape pomace and corn steep liquor [
11]. H-S medium-enriched white grape bagasse yielded 1.2 g/L after 14 days at 28 °C (productivity of 0.004 g/L·h) [
13]. Hydroxylated potato peel waste resulted in BC production up to 2.61 g/L after 96 h of incubation (productivity of 0.027 g/L·h) [
45]. In the airlift bioreactor, the BC production was 3.8 g after 67 h using a corn steep liquor-fructose medium, and a modified airlift bioreactor allowed to obtain the highest harvest (10.4 g/L) [
49], but in these cases, no production of gluconic acid was evaluated.
The pH and O
2 partial pressure through the fermentation are shown in
Figure 6C. The sharp decrease in pH (from 5.15 to 3.66) and O
2 partial pressure (from 98.3% to 0%) confirms high bacterial activity during this period and the high demand for oxygen. Furthermore, by introducing phenolic compounds into the culture medium during the synthesis of BC, these compounds were successfully integrated into the polymeric matrix. This incorporation of phenolic compounds led to the development of BC with antioxidant capacity, measuring at 1.3 mg GAE/g dried BC, similar to the results observed in static fermentation [
35]. This functionalization of the synthesized polymer enhances its potential for future applications.
Comparing the results of gluconic acid production with previous works, the gluconic acid production obtained was lower than those obtained by the fermentation of
Aspergillus niger in alternative culture media. For instance, banana must and grape must be tested as carbon sources for the production of gluconic acid by
A. niger [
23,
24]. After 8 days, the gluconic acid produced by
A. niger ranged between 60–70 g/L for a culture media with an initial glucose concentration of 120 g/L. Although the gluconic acid content was lower in this study compared to fungal fermentations, it is noteworthy that our approach enabled the simultaneous production of two commercially valuable products, BC and gluconic acid.