Submitted:
24 February 2025
Posted:
24 February 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Material
2.2. Methods
2.2.1. Drying Procedure
2.2.2. Mathematical modeling
2.2.3. Total energy consumption
2.2.4. Methods of analyses
2.2.4.1. Extraction procedure
2.2.4.2. Determination of bioactive compounds
2.2.4.3. Individual phenolic compounds
2.2.4.4. Vitamin C
2.2.4.5. Color
2.2.5. Statistical analysis
3. Results
3.1. Drying kinetics
3.2. Total phenolic content and antioxidant capacity
3.3. Vitamin C
3.4. Individual phenolic compounds
3.5. Color
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| ABTS | 2,2'-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid |
| Deff | Effective moisture diffusivity |
| DPPH | 2,2-diphenyl-1-picrylhydrazyl |
| DR | drying rate |
| FD | Freeze-drying |
| HAD | Hot air drying |
| HPLC | high-performance liquid chromatography |
| Me | Equilibrium moisture content |
| Mt | Moisture content at time t |
| M0 | Initial moisture content |
| MR | Moisture ratio |
| MRprei | Predicted moisture ratio |
| MRexpi | Experimentally determined moisture ratio |
| RMSE | Root mean square error |
| TPC | Total phenolic content |
| UAVD | Ultrasound-assisted vacuum drying |
| VD | Vacuum drying |
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| Model | Mathematical equation | Reference |
| Demir | y=a*exp(-k*x)^n+c | [21] |
| Henderson and Pabis | y=a*exp(-k*x) | [22] |
| Lewis | y=exp(-k*x) | [23] |
| Logarithmic | y=a*exp(-k*x)+c | [24] |
| Midilli and Kucuk | y=a*exp(-k*(x^n))+b*t | [25] |
| Modified Page | y=exp(-((k*x)^n)) | [26] |
| Page | y=exp(-k*(x^n)) | [27] |
| Parabolic | y=a+b*x+c*x^2 | [28] |
| Two-term exp | y=a*exp(-k*x)+(1-a)*exp(-k*a*x) | [29] |
| Wang and Singh | y=1+a*x+b*x^2 | [30] |
| Weibull | y=exp(-(x^a/b^a)) | [31] |
| Model | Parameters | HAD | VD | UAVD | ||||||
| 50 °C | 60 °C | 70 °C | 50 °C | 60 °C | 70 °C | 50 °C | 60 °C | 70 °C | ||
| Demir et al. | a | 0.918 | 1.111 | 1.175 | 1.149 | 1.391 | 1.352 | 1.149 | 1.391 | 2.004 |
| k | 0.330 | -0.411 | -0.559 | -0.419 | -0.436 | -0.389 | -0.419 | -0.436 | -0.301 | |
| n | 0.396 | -0.403 | -0.480 | -0.372 | -0.358 | -0.392 | -0.372 | -0.358 | -0.304 | |
| c | 0.049 | -0.144 | -0.086 | -0.164 | -0.371 | -0.390 | -0.164 | -0.371 | -0.989 | |
| R2 | 0.983 | 0.997 | 0.998 | 0.999 | 0.999 | 0.998 | 0.999 | 0.999 | 0.999 | |
| RMSE | 0.0455 | 0.0212 | 0.0192 | 0.0165 | 0.0152 | 0.0161 | 0.0137 | 0.0195 | 0.0114 | |
| χ2 | 0.0023 | 0.0005 | 0.0005 | 0.0003 | 0.0003 | 0.0003 | 0.0002 | 0.0005 | 0.0002 | |
| Henderson and Pabis | a | 0.943 | 1.006 | 1.015 | 1.027 | 1.078 | 1.013 | 1.027 | 1.078 | 1.087 |
| k | 0.112 | 0.229 | 0.330 | 0.221 | 0.286 | 0.286 | 0.221 | 0.286 | 0.272 | |
| R2 | 0.982 | 0.993 | 0.995 | 0.994 | 0.987 | 0.998 | 0.994 | 0.987 | 0.982 | |
| RMSE | 0.0466 | 0.0343 | 0.0286 | 0.0470 | 0.0489 | 0.0399 | 0.0314 | 0.0356 | 0.0576 | |
| χ2 | 0.0023 | 0.0013 | 0.0009 | 0.0025 | 0.0027 | 0.0018 | 0.0011 | 0.0014 | 0.0038 | |
| Lewis | k | 0.120 | 0.227 | 0.325 | 0.215 | 0.265 | 0.282 | 0.215 | 0.265 | 0.248 |
| R2 | 0.979 | 0.993 | 0.995 | 0.993 | 0.983 | 0.990 | 0.993 | 0.983 | 0.976 | |
| RMSE | 0.0499 | 0.0344 | 0.0290 | 0.0532 | 0.0565 | 0.0402 | 0.0327 | 0.0448 | 0.0666 | |
| χ2 | 0.0025 | 0.0012 | 0.0009 | 0.0030 | 0.0034 | 0.0017 | 0.0011 | 0.0021 | 0.0047 | |
| Logarithmic | a | 0.918 | 1.111 | 1.075 | 1.149 | 1.391 | 1.352 | 1.149 | 1.391 | 2.004 |
| k | 0.131 | 0.166 | 0.330 | 0.156 | 0.156 | 0.152 | 0.156 | 0.156 | 0.091 | |
| c | 0.049 | 0.144 | 0.186 | -0.164 | -0.371 | -0.390 | -0.164 | -0.371 | -0.989 | |
| R2 | 0.983 | 0.997 | 0.998 | 0.999 | 0.999 | 0.998 | 0.999 | 0.999 | 0.999 | |
| RMSE | 0.0455 | 0.0212 | 0.0192 | 0.0165 | 0.0152 | 0.0161 | 0.0137 | 0.0195 | 0.0114 | |
| χ2 | 0.0022 | 0.0005 | 0.0004 | 0.0003 | 0.0003 | 0.0003 | 0.0002 | 0.0005 | 0.0002 | |
| Midilli et al. | a | 0.959 | 1.035 | 1.314 | 0.966 | 0.969 | 4.663 | 0.966 | 0.969 | 0.968 |
| k | 0.177 | 0.191 | 0.238 | 0.149 | 0.135 | 0.054 | 0.149 | 0.135 | 0.108 | |
| n | 0.809 | 0.842 | 1.203 | 1.194 | 1.449 | 0.723 | 1.194 | 1.450 | 1.559 | |
| b | -0.00004 | 0.00003 | 0.708 | 0.0000004 | -0.000015 | 2.890 | 0.0000004 | -0.00001 | 0.00006 | |
| t | -0.00004 | 0.00003 | 0.446 | 0.0000004 | -0.000015 | -1.268 | 0.0000004 | -0.00001 | 0.00006 | |
| R2 | 0.986 | 0.998 | 0.998 | 0.996 | 0.998 | 1.000 | 0.996 | 0.998 | 0.997 | |
| RMSE | 0.0406 | 0.0299 | 0.0183 | 0.0314 | 0.0192 | 0.0313 | 0.0243 | 0.0176 | 0.0233 | |
| χ2 | 0.0018 | 0.0011 | 0.0005 | 0.0013 | 0.0005 | 0.0014 | 0.0007 | 0.0004 | 0.0008 | |
| Modified Page | k | 0.123 | 0.224 | 0.319 | 0.211 | 0.259 | 0.279 | 0.211 | 0.259 | 0.247 |
| n | 0.845 | 1.083 | 1.127 | 1.131 | 1.374 | 1.140 | 1.131 | 1.374 | 1.464 | |
| R2 | 0.986 | 0.994 | 0.997 | 0.996 | 0.998 | 0.993 | 0.996 | 0.998 | 0.997 | |
| RMSE | 0.0411 | 0.0319 | 0.0222 | 0.0320 | 0.0213 | 0.0343 | 0.0256 | 0.0207 | 0.0255 | |
| χ2 | 0.0018 | 0.0011 | 0.0004 | 0.0011 | 0.0005 | 0.0013 | 0.0007 | 0.0005 | 0.0007 | |
| Page | k | 0.170 | 0.198 | 0.276 | 0.172 | 0.186 | 0.233 | 0.172 | 0.156 | 0.129 |
| n | 0.845 | 1.083 | 1.127 | 1.131 | 1.374 | 1.140 | 1.131 | 1.374 | 1.464 | |
| R2 | 0.986 | 0.994 | 0.997 | 0.996 | 0.998 | 0.993 | 0.996 | 0.998 | 0.997 | |
| RMSE | 0.0411 | 0.0319 | 0.0222 | 0.0320 | 0.0213 | 0.0343 | 0.0256 | 0.0207 | 0.0255 | |
| χ2 | 0.0018 | 0.0011 | 0.0006 | 0.0011 | 0.0005 | 0.0013 | 0.0007 | 0.0005 | 0.0007 | |
| Parabolic | a | 0.877 | 0.937 | 0.957 | 0.957 | 1.012 | 0.951 | 0.957 | 1.012 | 1.014 |
| c | 0.002 | 0.006 | 0.014 | 0.006 | 0.010 | 0.009 | 0.006 | 0.010 | -0.178 | |
| b | -0.072 | -0.148 | -0.224 | -0.146 | -0.198 | -0.186 | -0.146 | -0.198 | 0.006 | |
| R2 | 0.970 | 0.996 | 0.998 | 0.998 | 0.999 | 0.998 | 0.998 | 0.999 | 0.999 | |
| RMSE | 0.0598 | 0.0251 | 0.0163 | 0.0184 | 0.0106 | 0.0187 | 0.0191 | 0.0241 | 0.0104 | |
| χ2 | 0.0038 | 0.0004 | 0.0001 | 0.0004 | 0.0001 | 0.0004 | 0.0004 | 0.0007 | 0.0001 | |
| Two Term Exp | a | 0.219 | 1.544 | 1.625 | 1.621 | 1.890 | 1.636 | 1.621 | 1.889 | 1.943 |
| k | 0.276 | 0.413 | 0.435 | 0.273 | 0.394 | 0.364 | 0.273 | 0.394 | 0.386 | |
| R2 | 0.988 | 0.994 | 0.997 | 0.996 | 0.997 | 0.993 | 0.996 | 0.997 | 0.995 | |
| RMSE | 0.2646 | 0.1535 | 0.0905 | 0.0341 | 0.0257 | 0.0332 | 0.0250 | 0.0217 | 0.0320 | |
| χ2 | 0.0016 | 0.0010 | 0.0005 | 0.0013 | 0.0007 | 0.0013 | 0.0007 | 0.0005 | 0.0012 | |
| Wang & Singh | a | -0.094 | -0.169 | -0.242 | -0.160 | -0.193 | -0.212 | -0.160 | -0.193 | -0.171 |
| b | 0.002 | 0.007 | 0.015 | 0.007 | 0.009 | 0.011 | 0.007 | 0.009 | 0.005 | |
| R2 | 0.955 | 0.993 | 0.997 | 0.996 | 0.999 | 0.996 | 0.996 | 0.999 | 0.999 | |
| RMSE | 0.0735 | 0.0339 | 0.0227 | 0.0185 | 0.0115 | 0.0264 | 0.0246 | 0.0245 | 0.0117 | |
| χ2 | 0.0057 | 0.0012 | 0.0006 | 0.0004 | 0.0001 | 0.0008 | 0.0007 | 0.0007 | 0.0002 | |
| Weibull | a | 0.845 | 1.083 | 1.127 | 1.131 | 1.374 | 1.140 | 1.131 | 1.374 | 1.464 |
| b | 8.114 | 4.456 | 3.138 | 4.732 | 4.865 | 3.585 | 4.733 | 3.865 | 4.042 | |
| R2 | 0.986 | 0.994 | 0.997 | 0.996 | 0.998 | 0.993 | 0.996 | 0.998 | 0.997 | |
| RMSE | 0.0411 | 0.0319 | 0.0222 | 0.0320 | 0.0213 | 0.0343 | 0.0256 | 0.0207 | 0.0255 | |
| χ2 | 0.0018 | 0.0011 | 0.0006 | 0.0011 | 0.0005 | 0.0013 | 0.0007 | 0.0005 | 0.0007 | |
| Drying Method | Temperature(°C) | Drying time(h) | DR*(h-1) | Deff** (m2/s) | Total Energy consumption (kW·h) |
| HAD | 50 | 22.5Aa | 0.044 | 9.08×10-10 | 0.163 |
| 60 | 12.0Ab | 0.083 | 2.32×10-9 | 0.209 | |
| 70 | 9.0Ac | 0.108 | 2.82×10-9 | 0.266 | |
| VD | 50 | 11.5Ba | 0.082 | 2.60×10-9 | 0.196 |
| 60 | 9.5Bb | 0.115 | 2.76×10-9 | 0.235 | |
| 70 | 8.5Bc | 0.130 | 2.96×10-9 | 0.286 | |
| UAVD | 50 | 10.0Ca | 0.104 | 2.20×10-9 | 0.298 |
| 60 | 8.5Cb | 0.118 | 2.90×10-9 | 0.333 | |
| 70 | 7.5Cc | 0.135 | 2.99×10-9 | 0.372 |
| TPC (mg GAE/100g) | |||
| Fresh | 154.25±4.65A | 154.25±4.65A | 154.25±4.65A |
| FD | 131.27±0.41B | 131.27±0.41B | 131.27±0.41B |
| 50°C | 60°C | 70°C | |
| HAD | 107.08±0.27Da | 87.99±0.41Db | 44.00±1.90Ec |
| VD | 122.24±1.08Ca | 112.36±1.49Cb | 59.70±0.0.27Dc |
| UAVD | 128.77±0.95Ba | 108.16±1.08Cb | 65.25±2.03Cc |
| DPPH (mg TE/100g) | |||
| Fresh | 7380.01±16.44A | 7380.01±16.44A | 7380.01±16.44A |
| FD | 7339.09±8.84A | 7339.09±8.84A | 7339.09±8.84A |
| 50°C | 60°C | 70°C | |
| HAD | 5083.67±36.81Da | 4705.49±6.69Db | 2249.00±46.85Dc |
| VD | 5990.63±20.08Ca | 5123.83±36.81Cb | 4434.40±50.20Cc |
| UAVD | 6907.63±46.85Ba | 5950.476.69Bb | 4926.3753.55Bc |
| ABTS (mg TE/100g) | |||
| Fresh | 242.67±7.03A | 242.67±7.03A | 242.67±7.03A |
| FD | 225.46±0.35B | 225.46±0.35B | 225.46±0.35B |
| 50°C | 60°C | 70°C | |
| HAD | 162.93±6.67Ea | 139.74±3.16Eb | 118.31±2.81Ec |
| VD | 185.76±0.70Da | 153.80±1.76Db | 129.56±1.41Dc |
| UAVD | 218.08±4.22Ca | 192.79±7.03Cb | 169.60±2.11Cc |
| Vitamin C (mg/100g) | |||
| Fresh | 55.32±0.45A | 55.32±0.45A | 55.32±0.45A |
| FD | 49.01±0.21B | 49.01±0.21B | 49.01±0.21B |
| 50°C | 60°C | 70°C | |
| HAD | 36.19±0.14Da | 33.60±0.35Eb | 29.79±0.18Ec |
| VD | 44.81±0.30Ca | 41.40±0.25Db | 37.55±0.29Dc |
| UAVD | 46.10±0.08Ca | 44.82±0.44Ca | 41.63±0.20Cb |
| FRESH | FD | HAD | VD | UAVD | |||||||
| 50°C | 60°C | 70°C | 50°C | 60°C | 70°C | 50°C | 60°C | 70°C | |||
| 4-Hydroxybenzoic acid | 698.384 | 679.661 | 617.872 | 530.046 | 415.985 | 665.501 | 548.873 | 449.317 | 687.720 | 563.045 | 464.280 |
| Gallic acid | 694.133 | 663.086 | 586.187 | 506.159 | 386.882 | 608.642 | 563.000 | 420.385 | 630.301 | 585.626 | 458.424 |
| Protocatechuic acid | 90.007 | 76.274 | 50.086 | 34.536 | 29.728 | 60.823 | 52.608 | 51.665 | 81.743 | 87.068 | 59.782 |
| Syringic acid | 419.783 | 313.852 | 151.958 | 127.316 | 73.126 | 135.800 | 122.398 | 118.860 | 137.515 | 112.840 | 111.849 |
| Caffeic acid | 773.416 | 741.618 | 645.529 | 566.257 | 412.475 | 665.606 | 537.631 | 402.346 | 696.803 | 545.505 | 405.051 |
| Chlorogenic acid | 874.063 | 828.764 | 807.190 | 629.639 | 469.726 | 824.394 | 719.540 | 570.502 | 887.985 | 733.310 | 588.280 |
| Ferulic acid | 2442.164 | 2307.669 | 1723.559 | 1586.942 | 1223.456 | 1927.890 | 1884.938 | 1645.212 | 2142.062 | 1922.387 | 1633.186 |
| o-coumaric acid | 315.635 | 300.019 | 236.401 | 200.192 | 114.675 | 276.441 | 227.648 | 130.081 | 272.344 | 231.669 | 143.211 |
| p-coumaric acid | 902.509 | 910.730 | 835.561 | 726.757 | 622.768 | 853.823 | 773.700 | 651.752 | 876.964 | 757.289 | 683.279 |
| Sinapic acid | 569.698 | 547.795 | 439.647 | 387.185 | 265.075 | 459.391 | 354.217 | 295.903 | 498.377 | 339.098 | 259.853 |
| Ellagic acid | 1137.644 | 1075.601 | 814.108 | 756.400 | 529.044 | 911.640 | 844.927 | 708.886 | 980.226 | 860.551 | 731.712 |
| Catechin | 1796.558 | 1407.770 | 1046.529 | 885.411 | 874.530 | 1264.428 | 1088.181 | 892.293 | 1279.250 | 1284.575 | 856.867 |
| Chrysin | 698.898 | 684.894 | 604.188 | 400.100 | 241.552 | 630.269 | 568.110 | 451.798 | 670.510 | 550.835 | 452.889 |
| Hesperidin | 12,201.82 | 11,766.77 | 8,445.41 | 6,978.38 | 5,811.42 | 9,832.24 | 9,036.76 | 7814,85 | 10,710.31 | 9,419.63 | 7,757.89 |
| Quercetin | 265.783 | 219.296 | 182.930 | 146.665 | 127.057 | 152.290 | 125.304 | 108.828 | 178.698 | 134.023 | 106.376 |
| Rutin | 380.074 | 374.675 | 194.474 | 179.055 | 129.941 | 255.517 | 186.065 | 106.053 | 244.775 | 150.100 | 139.097 |
| FRESH | FD | HAD | VD | UAVD | |||||||
| 50 °C | 60 °C | 70 °C | 50 °C | 60 °C | 70 °C | 50 °C | 60 °C | 70 °C | |||
| L* | 54.07±0.61a | 52.70±0.16a | 44.48±0.25d | 43.20±0.10d | 40.44±0.07f | 49.75±0.13b | 47.57±0.31c | 42.51±0.09de | 46.73±0.16c | 43.42±0.26d | 42.14±0.09de |
| a* | 18.35±0.14ab | 19.38±0.41a | 14.80±0.10d | 12.46±0.19e | 9.90±0.18f | 17.64±0.04b | 16.34±0.02c | 14.97±0.09d | 19.35±0.23a | 18.72±0.08ab | 17.57±0.31b |
| b* | 16.11±0.02a | 15.38±0.26ab | 12.17±0.15c | 9.98±0.54d | 5.11±0.12f | 14.34±0.28b | 12.26±0.15c | 6.74±0.20ef | 14.14±0.15ab | 12.71±0.18c | 7.51±0.12e |
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