Propolis is a resin material that honeybees (
Propolis has attracted the attention of researchers in recent decades due to its biological and pharmacological properties. It has been shown to be non-toxic to humans and mammals except for in very large doses. For this reason, propolis has been used in the preservation of food products (seafood, juice, fish, meat, soft drinks and fruits), in development of veterinary medicine and cosmetics and drugs (Casquete et al., 2016; Jonaidi-Jafari et al., 2018).
More than three-hundred chemical compounds have been identified in different propolis samples (Bankova et al., 2000). The presence of aldehydes, terpenoids, flavonoids, chalcones, esters, aliphatic and phenolic acids, amino acids and aromatic acids have been highlighted in propolis. The most common phenolic compounds are Artepilin C, galangin,
The chemical composition of propolis depends on the flora of the region, the season, the geography, plant origins and the bee species. Moreover, the composition of propolis may vary quantitatively and qualitatively depending on different plant sources, its harvest type and harvesting season (Moreno et al., 2000). In addition, extraction parameters affect the bio-active properties of propolis as with_almost all natural materials. Studying the activity of the studied material under different extraction conditions provides useful information for the researchers. Optimizing extraction parameters is most efficient way to maximize -or minimize-targeted activity.
Comparisons of some propolis extraction optimization studies with this study are shown in Tab. 1. In the previous studies, such inputs as ethanol concentration, extraction temperature and extraction time were used to optimize extraction propolis parameters for different output variables including flavones (Yingjuan et al., 2007; Wang et al., 2009), TPC, TFC (Kim et al., 2009; Nichitoi et al., 2019), total flavonoid yield (Li et al., 2012), propolis flavonoids liposome (Yuan et al., 2013), extraction ratio (Zhao et al., 2012) and antioxidant capacity (Oldoni et al., 2015; Nichitoi et al., 2019). When the studies were evaluated, it was shown that generally the response surface method (RSM), one of the deterministic calculation methods, has been used for optimization of extraction parameters studies. Compared with traditional methods, artificial neural networks (ANN) tolerate inaccurate or incomplete data and relate unrelated information (Jothiprakash & Garg, 2009), because a fixed formula is not used in the modeling process. In this study, extraction parameters were predicted by ANN
Comparison of some propolis extraction optimization research with the study
Previous study | Input variables | Output variables | Optimization method |
---|---|---|---|
Yingjuan et al. (2007) | Ethanol concentration | Flavones | Response Surface Methodology (RSM) |
Wang et al. (2009) | Ethanol concentration | Flavones | RSM |
Kim et al. (2009) | Ethanol concentration | Total polyphenol content (TPC) | RSM |
Li et al. (2012) | Microwave treatment time | Total flavonoid yield | RSM |
Yuan et al. (2013) | Ratio of lipid to drug | Propolis flavonoids liposome (PFL) | RSM |
Zhao et al. (2012) | Extraction time | Extraction ratio TFC | RSM |
Oldoni et al. (2015) | Ethanol ratio | TPC | 23 factorial design |
Nichitoi et al. (2019) | Particle size | TPC | Partial Least Squares Regression |
Our study | Ethanol content | TPC (Single objective) | ANN and MFO |
ANN, an artificial intelligence technique, has been observed to be much better at predicting compared to traditional methods. For the first time, in this study the parameters of ethanolic extracts of propolis samples will be modeled and optimized with the ANN and MFO algorithm method, respectively. The integrated ANN and MFO algorithm system are thought to be used for single and multi-objective optimization of extraction parameters saving time, chemical, cost and effort.
Five samples of propolis were obtained from different beekeepers in Turkey’s Bayburt province and prepared in different solutions. Each sample weighing 5 grams were diluted with ethanol contents of 40, 50, 60, 70 and 80% (Heidolph Promax 2020, Schwabach, Germany) and digested for 8, 10, 12, 16, 20 and 24 hours at room temperature. Afterwards, the samples were filtered (Whatman #2 paper) and particles were removed. The final volume of the solution was adjusted with different proportions of an ethanol solvent.
The total phenolic content of the propolis samples were measured according to the Folin-Ciocaltaeu method suggested by Slinkard & Singleton (1977). First, 20 μL of the sample was added into a test tube containing 400 μL 0.5 N of Folin–Ciocalteu’s reagent, 680 μL of distilled water and 400 μL of 10% Na2CO3 and then vortexed. Next, the mixture was incubated at room temperature for 2 h. The absorbance of blue coloration was measured at 760 nm against a blank sample. The polyphenol concentration in the samples was derived from a standard curve of absorbance of gallic acid concentrations, ranging from 0.03125 to 1.0 mg/mL. All measurements were performed in triplicate. Gallic acid was used as the standard, and TPC results were expressed as milligram gallic acid equivalent per gram (mg GAE/g).
Total antioxidant activity was assayed with the original method by Benzie & Strain (1996), which they based on the reduction of an iron 2,4,6-tripyridyl-s-triazine complex (Fe3+ -TPTZ) to its ferrous, colored form (Fe2+ -TPTZ) in the presence of antioxidants. The FRAP reagent contained acetate buffer (300 μM, pH 3.6), a solution of 10 μM TPTZ in 40 μM HCl and 20 μM FeCl3. The reagent was prepared daily. 100 μL of the extract samples were mixed with 3 mL of the FRAP reagent. The reaction mixture’s absorbance was measured by spectrophotometrically at 593 nm after a four-minute incubation. The results were expressed FRAP as μmol FeSO4·7H2O/g).
All experiments were carried out three times. The obtained data were recorded as means ± standard deviations and analyzed through the use of a statistical package for social sciences (SPSS version 21.0). TPC and FRAP activities of extracts was performed with the multivariate analysis of variance. Mean values were compared with “Duncan” homogeneity groups. The level of significance was set at 5% (p<0.05).
The obtained data from the experimental studies were used to produce a prediction model with the use of ANN. The optimization procedure was then applied with the use the MFO algorithm.
Artificial neural networks (ANN) are flexible and non-parametric modeling tools (Chi & Tang, 2005). These networks are a method developed through the simulation of the brain’s cognitive learning process (Haykin, 1994) and have been found to be highly effective in such complex problems as prediction, classification and clustering.
ANN contains many linked nerve cells; a typical neuron input is the output of another neuron, which are transmitted through connections. The combination of nerve cells is not random. Generally, cells come together in three layers and parallel in each layer to reveal the network. ANN usually contains an input layer, one or more hidden layers and an output layer. These connections are called synapses in biology and each synaptic link force is indicated by numerical values called weights (Smith, 1994).
The complex systems are the most important feature of neural networks which produce a response by learning from the sample based on the past knowledge for complex problem. ANN creates a high number of connections between process layers, called the input layer, output layer, and hidden layer(s), to solve certain problems. The layers of this study are shown at Fig. 1.
Fig. 1
The layers of this study.

In the study, ethanol content and extraction time were used as input data, while TPC and FRAP activity of the extracts were used separately as output data. Twenty different hidden neurons (from 1 to 20) and the Levenberg Marquardt and Scaled Conjugate Gradient algorithms were used to obtain the powerful prediction model. Consequently, forty potential models were obtained at the end of the study for each output. All data was divided into three groups: 75%, 10% and 15% of data to be used for training, validation and testing, respectively. The logistic sigmoid function was selected as a hidden layer activation function, and a linear transfer function was used as output layer activation function. The performance goal for the training and maximum validation error epochs were set as 10−2 and 50, respectively.
Mean square error (MSE) and mean absolute percent error (MAPE) used to determine ANN model performance are shown in Equations 1 and 2, respectively.
As the variety and complexity of engineering problems increases, researchers are constantly developing and adding new optimization methods to the literature. They have developed optimization algorithms by imitating the events or living things which inspire them. One such optimization algorithms is the Moth-Flame Optimization (MFO) developed by Mirjalili (2015). Moths fly by positioning at a fixed angle according to the moon to travel long distances on a flat road called transverse orientation. Since the moon is too far away from the moth, the moths can fly straight long distances thanks to this mechanism. When moths come across a man-made artificial light, they try to maintain a light-like angle to fly in a straight line. However, since such a light source is extremely similar compared to the moon, maintaining an angle similar to the light source will not work for moths and even cause a fatal spiral fly path (Fig. 2).
Fig. 2
Spiral flying path around close light sources (Mirjalili, 2015).

The mathematical model of MFO is based on two components, moth and flame. While moths are agents moving around the search area, flames are the best locations. In the population-based MFO algorithm, moths are represented by a matrix (Eq. 3),
I is used to produce a random population of moths and corresponding fitness values, P is a main function that makes the moths move around the search space, and T is a termination criterion flag.
The position of each moth with regard to a flame is updated as per Eq. 6;
The logarithmic spiral is given by Eq. 7;
MFO algorithm architecture
Parameters | Value |
---|---|
Number of search agents | 20 |
Maximum number of iterations | 30 |
Run Number | 100 |
In this study, both single and multi-objective optimization procedures were applied. In single-objective optimization problems, only one objective function has maximum or minimum values, while in multi-objective optimization problems, two or more functions are evaluated simultaneously, and optimization is carried out according to the targeted purpose.
Firstly, TPC and FRAP activity models obtained through the ANN method were used as objective functions, and maximum values were obtained through the single objective optimization procedure. Then, both FRAP and TPC were evaluated, and the most appropriate ethanol content and extraction time values, which maximize both objective functions, were obtained with the multi-objective optimization process. The Euclidean distance approach was used in the multi-objective optimization process, to calculate the ideal value of objective functions and to find the closest point to the ideal value (Fig. 3). In Figure 3, the “a” and “b” points show the maximum values of TPC and FRAP, respectively, and the ideal point is formed through the intersection of these points.
Fig. 3
Euclidean distance approach of this study.

The objective function was shown in Eq. 9.;
As a result, the ultimate objective function for multi-objective optimization is shown in the Eq. 11;
To summarize, this study consisted of three stage: experimental study, modelling and optimization.
The optimal extraction parameters were determined to get the maximum TPC and FRAP activity values using both of single and multi-objective optimization procedures, respectively. For this purpose, the study was designed as three stages: experimental study, modelling and optimization. Thirty different assays were carried out, and the TPC and FRAP data of ethanol extracts were obtained. TPC and FRAP activities of propolis ethanol extracts are given in Tab. 3.
TPC and FRAP activities of propolis ethanol extracts
Experiment number | Ethanol content (%) | Extraction time (h) | TPC (mg GAE/g) | FRAP (μmol FeSO4·7H2O/g) |
---|---|---|---|---|
1 | 40 | 8 | 27.56±1.82a | 239.85±6.83a |
2 | 40 | 10 | 32.69±0.87b | 239.76±3.82a |
3 | 40 | 12 | 24.19±0.68a | 233.80±0.65a |
4 | 40 | 16 | 24.85±0.90a | 227.25±2.33a |
5 | 40 | 20 | 34.39±0.82b | 277.01±1.21b |
6 | 40 | 24 | 47.20±0.24c | 311.79±2.83c |
7 | 50 | 8 | 61.64±0.82def | 353.72±0.00d |
8 | 50 | 10 | 57.83±0.45d | 306.93±0.72c |
9 | 50 | 12 | 64.51±2.50fgh | 359.25±3.75d |
10 | 50 | 16 | 59.33±0.19de | 350.92±0.68d |
11 | 50 | 20 | 66.42±0.72ghi | 346.92±3.30d |
12 | 50 | 24 | 68.32±1.42hij | 430.37±38.90e |
13 | 60 | 8 | 83.95±3.61no | 646.89±10.04no |
14 | 60 | 10 | 62.53±3.87efg | 462.13±5.16f |
15 | 60 | 12 | 85.35±0.90o | 578.34±1.92jk |
16 | 60 | 16 | 70.07±1.60ij | 587.76±3.89kl |
17 | 60 | 20 | 81.14±0.09no | 512.79±9.11gh |
18 | 60 | 24 | 74.95±0.69kl | 568.41±2.03j |
19 | 70 | 8 | 82.06±4.46no | 657.25±2.44o |
20 | 70 | 10 | 64.04±4.32fgh | 527.87±17.85hi |
21 | 70 | 12 | 59.28±1.28de | 501.61±3.76g |
22 | 70 | 16 | 85.31±3.33o | 632.80±1.34mn |
23 | 70 | 20 | 75.49±3.02kl | 587.75±7.73kl |
24 | 70 | 24 | 76.44±1.73lm | 597.94±5.31l |
25 | 80 | 8 | 80.01±2.09mn | 617.95±0.00m |
26 | 80 | 10 | 64.34±0.18fgh | 618.87±13.44m |
27 | 80 | 12 | 71.56±0.47jk | 495.96±11.87g |
28 | 80 | 16 | 64.45±3.01fgh | 591.99±11.57kl |
29 | 80 | 20 | 64.28±6.16fgh | 543.13±9.23i |
30 | 80 | 24 | 85.25±2.24o | 623.19±14.57m |
Means followed by different letter(s) differ significantly at p<0.05 (Duncan’s multiple range test)
The highest total phenolic content was 85.35 mg GAE/g in the extract of experiment number 15, while the lowest amount was 24.19 mg GAE/g in the extract of experiment number 3. If the FRAP value is higher, then the antioxidant activity is higher. The highest FRAP value was 657.25 μmol FeSO4·7H2O/g in the sample of experiment number 19, and the lowest amount was 227.25 μmol FeSO4·7H2O/g in the sample of experiment number 4. Furthermore, Duncan’s multiple range test found both the TPC and FRAP results of thirty different extractions to significantly different (p<0.05) by; p values of the test for homogeneity variances of TPC and FRAP were 0.032 and 0.000, respectively.
The process of determining the weight values of neurons connections in ANN, called “training the network”, starts with the creation of training, validation and test data. These data sets are created through random selections from the entire data set. The learning algorithms, Levenberg–Marquardt (LM) and Scaled Conjugate Gradient (SCG), were employed. All values between 1 and 20 were tried as hidden neurons to obtain the best model. Among the potential ANN structures predicting the TPC and FRAP activity of the extracts, the best ones were determined according to their performance. The models using the LM learning algorithm achieved the best performance for both TPC and FRAP. Thus, the best models were 2-5-1 and 2-5-1 architecture for the TPC and FRAP activity of extracts, respectively. The performances of the best models are presented in Tab. 4.
Performance of the best models
Studied assay | Performance of model | Training | Validation | Test | All |
---|---|---|---|---|---|
TPC | MAPE | 4.51 | 4.48 | 8.19 | 5.12 |
MSE | 17.02 | 6.46 | 51.67 | 21.74 | |
R2 | 0.97 | 0.99 | 0.96 | 0.96 | |
FRAP activity | MAPE | 1.41 | 0.69 | 9.23 | 2.45 |
MSE | 81.91 | 12.73 | 3929.23 | 624.12 | |
R2 | 0.99 | 0.99 | 0.96 | 0.98 |
Experimental and ANN results for the TPC and FRAP activity of propolis ethanol extracts are shown in Figures 4 and 5, respectively. They show how close the predicted value of ANN models and the experimental results are for both studied parameters. The obtained data from assays were modelled and the best models were chosen. Then, optimization procedure was the performed with the MFO algorithm. The best ANN models were used as the objective function. The optimum extraction parameters obtained from single objective optimization are shown in Tab. 5.
Fig. 4
Experimental and ANN results for TPC.

Fig. 5
Experimental and ANN results for FRAP.

The optimum extraction parameters obtained from single objective optimization
Assay | Ethanol content (%) | Extraction time (h) | Estimated value | Unit |
---|---|---|---|---|
TPC | 57.50 | 13.96 | 91.19 | mg GAE/g |
FRAP | 72.03 | 18.04 | 673.05 | μmol FeSO47H2O/g |
Optimum extraction parameters for TPC were found to be 57.50% ethanol content and 13.56 h extraction time with the 91.19 mg GAE/g value. According to the MFO algorithm results, 72.03% ethanol content and 18.04 h extraction time reached the maximum FRAP values of ethanolic extracts of propolis with 673.05 μmol FeSO4·7H2O/g value. The optimization course for TPC and FRAP are shown in Fig. 6 and 7, respectively.
Fig. 6
Optimization course for TPC.

Fig. 7
Optimization course for FRAP.

The objective value for the first iteration was found to be 88.28 mg GAE/g for the TPC activity of propolis ethanolic extracts. The objective value increased for subsequent iterations. In the 25th iteration, the objective value was stable reaching 91.19 mg GAE/g, and the final value was obtained. The objective value for the first iteration was found to be 641.07 μmol FeSO4·7H2O/g for FRAP activity of ethanolic extracts of propolis. In the 20th iteration, the objective value reached 673.05 μmol FeSO4·7H2O/g and then did not show an increase in the subsequent iterations. The optimum extraction parameters obtained from multi-objective optimization are shown in Tab. 6. In this study, the optimum extraction parameters obtained from multi-objective optimization procedure were 70.03% ethanol content and 16.93 h extraction time, and the highest TPC and FRAP values were 83.35 mg GAE/g and 667.26 μmol FeSO4·7H2O/g, respectively.
The optimum extraction parameters obtained from multi-objective optimization
Objective | Ethanol content (%) | Extraction time (h) | TPC (mg GAE/g) | FRAP (μmol FeSO47H2O/g) |
---|---|---|---|---|
Max. TPC | 70.03 | 16.93 | 83.35 | 667.26 |
Bees use propolis in honeycombs to protect their hive, create aseptic settlements, repair damage and create a heat insulator. Phenolic and flavonoid compounds are the main components responsible for the bioactivity properties of propolis. In this study, the TPC values of examined extracts ranged from 24.19 to 85.31 mg GAE/g (Tab. 3). Socha et al. (2015) found that the total phenolic content in different regions of Poland ranged from 150.05 to 197.14 mg GAE/g. In our study, the total phenolic content of Turkish propolis was lower than that of the studied propolis samples. This can be thought to be due to the difference in vegetation. Another study reported that the total phenolic contents ranged from 10.94 to 79.23 mg GAE/g in 95% ethanolic extract of propolis obtained from different regions of Azerbaijan (Can et al., 2015). FRAP assay is the most commonly used method to specify total antioxidant capacity. In the study, FRAP values of studied extracts ranged from 227.25 to 657.25 μmol FeSO4·7H2O/g. Aliyazicioglu et al. (2013) reported that the FRAP values of methanolic propolis samples have changed between 182.12 and 325.47 μM Trolox/g in various Anatolian areas of Turkey. Mihai et al., (2011) reported that the total phenolic content was 31.22 to 61.34 g GAE/100 g and FRAP values 0.74 to 2.37 Fe(II)SO4/g in Transylvania propolis samples.
The MAPE value provides information about the predictive ability of the ANN model. A low MAPE value means that the model’s prediction ability is superior. A model with a MAPE value of 5.0% can be concluded to estimate the studied data with 95.0% accuracy. In this study, MAPE values of the best models were 5.12 and 2.45% for the TPC and FRAP activity values of propolis ethanol extracts, respectively.
MSE values of the best model were 21.74 mg GAE/g and 624.12 μmol FeSO4·7H2O/g for TPC and FRAP activity, respectively. If the MSE value is not compared with the similar studies, it may give misleading results, as in this study. Since the MSE value is related to the results of the studied assay, the higher value of assays will cause the MSE value to be higher. In this study, comparing the MSE values would not be the right approach since the FRAP values were five to eight times higher than the TPC values. It can be concluded that the closer R2 (coefficient of determination) value to 1 means that the predictive success of the model is greater. In this study, R2 values were determined to be 0.967 and 0.985 for TPC and FRAP activities, respectively. It can be deduced that, under the same extraction conditions, when ANN is used, the model predicts the TPC values somewhat more accurately than the FRAP activity values. Useful mathematical models have been created to separate bee products by origin and based on selected physical-chemical parameters, in many countries. Furthermore, researchers have investigated the potential of ANNs as an analytical alternative to such traditional modelling techniques as response surface methodology and multiple regression analysis, the rheological behavior of food that are limited by strict assumptions of normality, variable independence, homogeneity and linearity. They discovered that ANN could predict rheological properties with high accuracy.
Optimum extraction parameters were determined as: 57.50% ethanol content and 16.53 h extraction for maximum TPC; 72.03% ethanol content and 18.04 h extraction time for FRAP, using single objective optimization; also 70.03% ethanol content and 16.93 h extraction time by multi-objective optimization procedure. Yingjuan et al. (2007) reported that the optimum processing for ultrasound extraction was 79.51% ethanol, 19.31 min extraction time, 538.38 W extracting power, 39.48:1 liquid to propolis for the maximum flavones of propolis. Kim et al. (2009) notified that an ethanol concentration of 72–82% and an extraction time of 2.2–3.3 among the 1 and 5 hour extraction time were optimal for the preparation of propolis extracts. Zhao et al. (2012) optimized the optimal microwave-assisted extraction conditions for total flavonoids as follows: 70 s microwave treatment at 282 W followed by extraction with 80% ethanol aqueous solution at a solvent-to-solid of 25 mL/g and 77 for 12 h. Oldoni et al. (2015) also optimized the extraction parameters as time (45 min), temperature (70°C) and concentration of ethanol (80%) for TPC and DPPH activity of propolis.
In this study the optimal extraction parameters of propolis ethanolic extracts for the maximum TPC and FRAP activity values were investigated with the use of both single and multi-objective optimization procedures. For this purpose, the study was designed as three stages: experimental study, modelling and optimization. As a result, integration ANN and MFO algorithm methods can be used for research in the field of chemistry with a high accuracy saving cost, chemical, time and effort.
Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

The optimum extraction parameters obtained from single objective optimization
Assay | Ethanol content (%) | Extraction time (h) | Estimated value | Unit |
---|---|---|---|---|
TPC | 57.50 | 13.96 | 91.19 | mg GAE/g |
FRAP | 72.03 | 18.04 | 673.05 | μmol FeSO47H2O/g |
MFO algorithm architecture
Parameters | Value |
---|---|
Number of search agents | 20 |
Maximum number of iterations | 30 |
Run Number | 100 |
The optimum extraction parameters obtained from multi-objective optimization
Objective | Ethanol content (%) | Extraction time (h) | TPC (mg GAE/g) | FRAP (μmol FeSO47H2O/g) |
---|---|---|---|---|
Max. TPC | 70.03 | 16.93 | 83.35 | 667.26 |
TPC and FRAP activities of propolis ethanol extracts
Experiment number | Ethanol content (%) | Extraction time (h) | TPC (mg GAE/g) | FRAP (μmol FeSO4·7H2O/g) |
---|---|---|---|---|
1 | 40 | 8 | 27.56±1.82a | 239.85±6.83a |
2 | 40 | 10 | 32.69±0.87b | 239.76±3.82a |
3 | 40 | 12 | 24.19±0.68a | 233.80±0.65a |
4 | 40 | 16 | 24.85±0.90a | 227.25±2.33a |
5 | 40 | 20 | 34.39±0.82b | 277.01±1.21b |
6 | 40 | 24 | 47.20±0.24c | 311.79±2.83c |
7 | 50 | 8 | 61.64±0.82def | 353.72±0.00d |
8 | 50 | 10 | 57.83±0.45d | 306.93±0.72c |
9 | 50 | 12 | 64.51±2.50fgh | 359.25±3.75d |
10 | 50 | 16 | 59.33±0.19de | 350.92±0.68d |
11 | 50 | 20 | 66.42±0.72ghi | 346.92±3.30d |
12 | 50 | 24 | 68.32±1.42hij | 430.37±38.90e |
13 | 60 | 8 | 83.95±3.61no | 646.89±10.04no |
14 | 60 | 10 | 62.53±3.87efg | 462.13±5.16f |
15 | 60 | 12 | 85.35±0.90o | 578.34±1.92jk |
16 | 60 | 16 | 70.07±1.60ij | 587.76±3.89kl |
17 | 60 | 20 | 81.14±0.09no | 512.79±9.11gh |
18 | 60 | 24 | 74.95±0.69kl | 568.41±2.03j |
19 | 70 | 8 | 82.06±4.46no | 657.25±2.44o |
20 | 70 | 10 | 64.04±4.32fgh | 527.87±17.85hi |
21 | 70 | 12 | 59.28±1.28de | 501.61±3.76g |
22 | 70 | 16 | 85.31±3.33o | 632.80±1.34mn |
23 | 70 | 20 | 75.49±3.02kl | 587.75±7.73kl |
24 | 70 | 24 | 76.44±1.73lm | 597.94±5.31l |
25 | 80 | 8 | 80.01±2.09mn | 617.95±0.00m |
26 | 80 | 10 | 64.34±0.18fgh | 618.87±13.44m |
27 | 80 | 12 | 71.56±0.47jk | 495.96±11.87g |
28 | 80 | 16 | 64.45±3.01fgh | 591.99±11.57kl |
29 | 80 | 20 | 64.28±6.16fgh | 543.13±9.23i |
30 | 80 | 24 | 85.25±2.24o | 623.19±14.57m |
Comparison of some propolis extraction optimization research with the study
Previous study | Input variables | Output variables | Optimization method |
---|---|---|---|
Ethanol concentration | Flavones | Response Surface Methodology (RSM) | |
Ethanol concentration | Flavones | RSM | |
Ethanol concentration | Total polyphenol content (TPC) | RSM | |
Microwave treatment time | Total flavonoid yield | RSM | |
Ratio of lipid to drug | Propolis flavonoids liposome (PFL) | RSM | |
Extraction time | Extraction ratio TFC | RSM | |
Ethanol ratio | TPC | 23 factorial design | |
Particle size | TPC | Partial Least Squares Regression | |
Our study | Ethanol content | TPC (Single objective) | ANN and MFO |
Performance of the best models
Studied assay | Performance of model | Training | Validation | Test | All |
---|---|---|---|---|---|
TPC | MAPE | 4.51 | 4.48 | 8.19 | 5.12 |
MSE | 17.02 | 6.46 | 51.67 | 21.74 | |
R2 | 0.97 | 0.99 | 0.96 | 0.96 | |
FRAP activity | MAPE | 1.41 | 0.69 | 9.23 | 2.45 |
MSE | 81.91 | 12.73 | 3929.23 | 624.12 | |
R2 | 0.99 | 0.99 | 0.96 | 0.98 |
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