Drying Kinetics and Quality Attributes of Selected Meat Types Subjected to Freeze-Drying and Vacuum-Drying
Featured Application
Abstract
1. Introduction
2. Materials and Methods
2.1. Material
2.2. Drying Method
2.3. Modelling of Drying Curves
2.4. Evaluation of Drying Energy Consumption
2.5. Chemical Composition of Meat
2.6. Determination of Peroxide Value and pH of Meat
2.7. Colour Measurement
2.8. Texture Properties
2.9. Statistical Analysis
3. Results and Discussion
3.1. Drying Kinetics
3.2. Drying Energy
3.3. Fat and Protein Content
3.4. Peroxide Value and pH
3.5. Colour Coordinates
3.6. Cutting Force Results
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Number | Model Name | Equation |
|---|---|---|
| 1 | Newton [35] | |
| 2 | Page [36] | |
| 3 | Henderson and Pabis [37] | |
| 4 | Logarithmic [38] | |
| 5 | Wang and Singh [39] | |
| 6 | Logistic [40] |
| Model | Vacuum-Drying | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.017048 | 0.0002 | 0.9962 | 0.0187 | 0.0002 | 0.9956 | 0.0138 | 0.0001 | 0.9976 |
| Page | 0.0141 | 0.0001 | 0.9974 | 0.0152 | 0.0001 | 0.9971 | 0.0134 | 0.0001 | 0.9977 |
| Henderson and Pabis | 0.0168 | 0.0002 | 0.9963 | 0.0185 | 0.0002 | 0.9957 | 0.0134 | 0.0001 | 0.9977 |
| Logarithmic | 0.0054 | 0.0001 | 0.9996 | 0.0075 | 0.0001 | 0.9993 | 0.0108 | 0.0001 | 0.9985 |
| Wang and Singh | 0.0313 | 0.0006 | 0.9873 | 0.0314 | 0.0004 | 0.9877 | 0.0452 | 0.0008 | 0.974 |
| Logistic | 0.08121 | 0.0042 | 0.9142 | 0.0119 | 0.0001 | 0.9982 | 0.0791 | 0.0026 | 0.9203 |
| Model | Freeze-drying | ||||||||
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.0146 | 0.0001 | 0.9973 | 0.0129 | 0.0001 | 0.9979 | 0.0213 | 0.0002 | 0.9938 |
| Page | 0.0121 | 0.0001 | 0.9982 | 0.0094 | 0.0001 | 0.9989 | 0.0209 | 0.0002 | 0.994 |
| Henderson and Pabis | 0.0148 | 0.0001 | 0.9974 | 0.0125 | 0.0001 | 0.9981 | 0.0192 | 0.0002 | 0.9949 |
| Logarithmic | 0.0600 | 0.0001 | 0.9989 | 0.0056 | 0.0001 | 0.9996 | 0.0142 | 0.0001 | 0.9972 |
| Wang and Singh | 0.0365 | 0.0001 | 0.9840 | 0.0358 | 0.0005 | 0.984 | 0.0459 | 0.0010 | 0.971 |
| Logistic | 0.0097 | 0.0001 | 0.9996 | 0.0075 | 0.0001 | 0.9993 | 0.0181 | 0.0002 | 0.9955 |
| Model | Vacuum-Drying | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.0186 | 0.0002 | 0.9957 | 0.015 | 0.0001 | 0.996 | 0.0138 | 0.0001 | 0.9976 |
| Page | 0.0117 | 0.0001 | 0.9983 | 0.007 | 0.0001 | 0.9991 | 0.0134 | 0.0001 | 0.9977 |
| Henderson and Pabis | 0.0175 | 0.0002 | 0.9962 | 0.0123 | 0.0001 | 0.9973 | 0.0138 | 0.0001 | 0.9976 |
| Logarithmic | 0.0087 | 0.0001 | 0.9991 | 0.0111 | 0.0001 | 0.9978 | 0.0108 | 0.0001 | 0.9985 |
| Wang and Singh | 0.0351 | 0.0006 | 0.9846 | 0.071 | 0.0023 | 0.9109 | 0.0452 | 0.0008 | 0.974 |
| Logistic | 0.0109 | 0.0001 | 0.9985 | 0.0123 | 0.0001 | 0.9973 | 0.0791 | 0.0026 | 0.9203 |
| Model | Freeze-drying | ||||||||
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.0226 | 0.0003 | 0.9938 | 0.0107 | 0.0001 | 0.9985 | 0.0147 | 0.0001 | 0.9972 |
| Page | 0.0076 | 0.0001 | 0.9993 | 0.0105 | 0.0001 | 0.9986 | 0.0129 | 0.0001 | 0.9978 |
| Henderson and Pabis | 0.0189 | 0.0002 | 0.9956 | 0.0101 | 0.0001 | 0.9987 | 0.0128 | 0.0001 | 0.9979 |
| Logarithmic | 0.0060 | 0.0001 | 0.9996 | 0.0064 | 0.0001 | 0.9992 | 0.0124 | 0.0001 | 0.998 |
| Wang and Singh | 0.0266 | 0.0004 | 0.9913 | 0.0552 | 0.0012 | 0.9600 | 0.0577 | 0.0011 | 0.9562 |
| Logistic | 0.0107 | 0.0001 | 0.9986 | 0.0087 | 0.0001 | 0.999 | 0.0723 | 0.0017 | 0.9312 |
| Model | Vacuum-Drying | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.0190 | 0.0002 | 0.9955 | 0.015 | 0.0001 | 0.9972 | 0.0139 | 0.0001 | 0.9972 |
| Page | 0.0126 | 0.0001 | 0.998 | 0.0109 | 0.0001 | 0.9985 | 0.0138 | 0.0001 | 0.9972 |
| Henderson and Pabis | 0.0181 | 0.0002 | 0.9959 | 0.0143 | 0.0001 | 0.9974 | 0.0137 | 0.0001 | 0.9973 |
| Logarithmic | 0.0053 | 0.0001 | 0.9997 | 0.0064 | 0.0001 | 0.9995 | 0.0081 | 0.0001 | 0.999 |
| Wang and Singh | 0.0282 | 0.0004 | 0.99 | 0.035 | 0.0006 | 0.9846 | 0.0389 | 0.0007 | 0.9778 |
| Logistic | 0.0093 | 0.0001 | 0.9989 | 0.0094 | 0.0001 | 0.9989 | 0.0093 | 0.0001 | 0.9982 |
| Model | Freeze-drying | ||||||||
| 20 °C | 40 °C | 60 °C | |||||||
| RMSE | χ2 | R2 | RMSE | χ2 | R2 | RMSE | χ2 | R2 | |
| Newton | 0.0162 | 0.0001 | 0.9966 | 0.0151 | 0.0001 | 0.9973 | 0.0186 | 0.0001 | 0.9953 |
| Page | 0.0156 | 0.0001 | 0.9968 | 0.0127 | 0.0001 | 0.9980 | 0.0170 | 0.0001 | 0.9961 |
| Henderson and Pabis | 0.0159 | 0.0001 | 0.9967 | 0.015 | 0.0001 | 0.9973 | 0.0164 | 0.0001 | 0.9963 |
| Logarithmic | 0.0102 | 0.0001 | 0.9986 | 0.0081 | 0.0001 | 0.9992 | 0.0119 | 0.0001 | 0.9972 |
| Wang and Singh | 0.0413 | 0.0008 | 0.9775 | 0.0397 | 0.0005 | 0.9810 | 0.0516 | 0.0011 | 0.9639 |
| Logistic | 0.0119 | 0.0001 | 0.9981 | 0.0109 | 0.0001 | 0.9986 | 0.0144 | 0.0001 | 0.9972 |
| Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|
| FD20 | 26.0 ± 0.47 fg | 26.6 ± 0.65 g | 24.7 ± 0.22 f |
| FD40 | 20.5 ± 0.51 d | 20.0 ± 0.52 d | 19.8 ± 0.50 d |
| FD60 | 16.5 ± 0.75 c | 15.3 ± 0.30 bc | 12.4 ± 0.98 a |
| VD20 | 27.4 ± 0.34 g | 26.3 ± 0.70 g | 23.0 ± 1.05 e |
| VD40 | 20.3 ± 0.70 d | 22.2 ± 0.83 e | 15.8 ± 0.35 c |
| VD60 | 15.2 ± 1.28 bc | 13.8 ± 0.83 ab | 13.3 ± 0.19 a |
| Factor | Three-factor analysis of variance p-value | ||
| Meat type (MT) | <0.001 | <0.001 | <0.001 |
| Drying method (DM) | <0.001 | <0.001 | <0.001 |
| Drying temperature (DT) | <0.001 | <0.001 | <0.001 |
| MT × DM | <0.001 | <0.001 | <0.001 |
| MT × DT | <0.001 | <0.001 | <0.001 |
| DM × DT | 0.316 | 0.316 | 0.316 |
| MT × DM × DT | <0.001 | <0.001 | <0.001 |
| Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|
| RM | 13.01 ± 0.53 | 12.54 ± 0.37 | 13.35 ± 0.35 |
| FD20 | 12.44 ± 0.69 ef | 12.40 ± 0.34 ef | 13.41 ± 0.34 g |
| FD40 | 12.04 ± 0.38 de | 12.86 ± 0.46 efg | 12.62 ± 0.34 efg |
| FD60 | 10.41 ± 0.46 bc | 10.11 ± 0.26 b | 12.26 ± 0.15 ef |
| VD20 | 12.40 ± 0.53 ef | 12.21 ± 0.55 ef | 12.99 ± 0.42 efg |
| VD40 | 12.34 ± 0.41 ef | 12.28 ± 0.31 ef | 13.03 ± 0.52 fg |
| VD60 | 10.12 ± 0.46 b | 8.85 ± 0.15 a | 11.16 ± 0.35 cd |
| Factor | Three-factor analysis of variance p-value | ||
| Meat type (MT) | <0.001 | ||
| Drying method (DM) | 0.408 | ||
| Drying temperature (DT) | <0.001 | ||
| MT × DM | 0.047 | ||
| MT × DT | <0.001 | ||
| DM × DT | 0.470 | ||
| MT × DM × DT | <0.001 | ||
| Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|
| RM | 80.44 ± 1.27 | 82.41 ± 0.49 | 80.29 ± 0.85 |
| FD20 | 80.38 ± 0.91 cde | 82.60 ± 1.10 e | 79.91 ± 1.12 cd |
| FD40 | 79.92 ± 0.75 cd | 82.40 ± 1.05 e | 79.75 ± 1.07 cd |
| FD60 | 77.05 ± 1.02 ab | 79.86 ± 1.52 cd | 76.35 ± 0.52 a |
| VD20 | 81.11 ± 0.65 cde | 82.63 ± 0.98 e | 79.72 ± 1.07 cd |
| VD40 | 80.98 ± 1.11 cde | 81.71 ± 0.97 de | 79.78 ± 0.95 cd |
| VD60 | 76.62 ± 0.81 a | 79.16 ± 0.86 bc | 76.16 ± 1.10 a |
| Factor | Three-factor analysis of variance p-value | ||
| Meat type (MT) | <0.001 | ||
| Drying method (DM) | 0.853 | ||
| Drying temperature (DT) | <0.001 | ||
| MT × DM | 0.215 | ||
| MT × DT | 0.434 | ||
| DM × DT | 0.470 | ||
| MT × DM × DT | 0.697 | ||
| Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|
| RM | 0.62 ± 0.046 | 1.08 ± 0.045 | 0.59 ± 0.061 |
| FD20 | 1.21 ± 0.015 a | 2.33 ± 0.073 e | 1.61 ± 0.043 bc |
| FD40 | 1.35 ± 0.044 a | 2.48 ± 0.041 e | 1.59 ± 0.025 b |
| FD60 | 6.46 ± 0.165 f | 11.29 ± 0.137 j | 8.43 ± 0.074 h |
| VD20 | 1.31 ± 0.030 a | 2.38 ± 0.038 e | 1.86 ± 0.046 d |
| VD40 | 1.34 ± 0.023 a | 2.51 ± 0.021 e | 1.80 ± 0.019 cd |
| VD60 | 7.91 ± 0.156 g | 12.37 ± 0.094 k | 9.43 ± 0.158 i |
| Factor | Three-factor analysis of variance p-value | ||
| Meat type (MT) | <0.001 | ||
| Drying method (DM) | <0.001 | ||
| Drying temperature (DT) | <0.001 | ||
| MT × DM | <0.001 | ||
| MT × DT | <0.001 | ||
| DM × DT | <0.001 | ||
| MT × DM × DT | <0.001 | ||
| Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|
| RM | 5.60 ± 0.054 | 5.81 ± 0.040 | 5.75 ± 0.030 |
| FD20 | 5.56 ± 0.049 cde | 5.76 ± 0.034 g | 5.69 ± 0.041 fg |
| FD40 | 5.54 ± 0.049 bcd | 5.77 ± 0.069 g | 5.68 ± 0.027 fg |
| FD60 | 5.46 ± 0.044 ab | 5.62 ± 0.044 def | 5.56 ± 0.043 cde |
| VD20 | 5.53 ± 0.038 bcd | 5.74 ± 0.043 g | 5.70 ± 0.029 fg |
| VD40 | 5.51 ± 0.040 bc | 5.76 ± 0.040 g | 5.64 ± 0.033 ef |
| VD60 | 5.40 ± 0.040 a | 5.58 ± 0.038 cde | 5.49 ± 0.038 abc |
| Factor | Three-factor analysis of variance p-value | ||
| Meat type (MT) | <0.001 | ||
| Drying method (DM) | <0.001 | ||
| Drying temperature (DT) | <0.001 | ||
| MT × DM | 0.745 | ||
| MT × DT | 0.043 | ||
| DM × DT | 0.088 | ||
| MT × DM × DT | 0.748 | ||
| Measurement Location | Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|---|
| RM | 41.32 ± 0.551 | 76.06 ± 0.740 | 53.53 ± 0.441 | |
| Geometric centre | FD20 | 67.29 ± 0.664 d | 84.47 ± 0.887 j | 83.28 ± 0.839 j |
| FD40 | 66.35 ± 0.351 d | 83.43 ± 0.679 j | 81.38 ± 0.617 i | |
| FD60 | 64.29 ± 0.797 c | 81.44 ± 0.467 i | 73.06 ± 0.587 f | |
| VD20 | 59.89 ± 1.107 b | 80.88 ± 0.392 i | 76.65 ± 0.836 gh | |
| VD40 | 59.42 ± 0.600 b | 78.05 ± 0.837 h | 75.82 ± 0.903 g | |
| VD60 | 55.50 ± 0.358 a | 70.80 ± 0.498 e | 70.34 ± 0.275 e | |
| Surface | FD20 | 65.55 ± 0.770 g | 85.44 ± 0.958 m | 79.24 ± 0.301 k |
| FD40 | 56.85 ± 0.318 d | 80.67 ± 0.486 L | 71.17 ± 0.647 i | |
| FD60 | 52.07 ± 0.521 c | 75.60 ± 0.611 j | 70.42 ± 0.769 i | |
| VD20 | 61.23 ± 0.471 e | 81.57 ± 0.102 L | 78.32 ± 0.368 k | |
| VD40 | 44.72 ± 0.659 b | 67.12 ± 0.367 h | 70.63 ± 0.693 i | |
| VD60 | 41.98 ± 0.837 a | 63.08 ± 0.677 f | 61.11 ± 0.528 e | |
| Factor | Three-factor analysis of variance p-value | |||
| Meat type (MT) | <0.001 | |||
| Drying method (DM) | <0.001 | |||
| Drying temperature (DT) | <0.001 | |||
| MT × DM | <0.001 | |||
| MT × DT | <0.001 | |||
| DM × DT | <0.001 | |||
| MT × DM × DT | <0.001 | |||
| Measurement Location | Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|---|
| RM | 25.77 ± 0.206 | 15.71 ± 0.287 | 11.14 ± 0.116 | |
| Geometric centre | FD20 | 11.00 ± 0.134 j | 7.91 ± 0.347 ghi | 7.25 ± 0.481 fg |
| FD40 | 8.65 ± 0.321 i | 6.57 ± 0.298 def | 7.17 ± 0.489 efg | |
| FD60 | 8.55 ± 0.281 i | 5.72 ± 0.405 abc | 5.52 ± 0.255 ab | |
| VD20 | 10.91 ± 0.156 j | 6.45 ± 0.325 cde | 5.84 ± 0.315 abcd | |
| VD40 | 8.34 ± 0.367 hi | 6.24 ± 0.380 bcd | 5.66 ± 0.325 ab | |
| VD60 | 7.60 ± 0.442 gh | 5.83 ± 0.364 abcd | 5.32 ± 0.132 a | |
| Surface | FD20 | 12.57 ± 0.210 g | 9.67 ± 0.227 d | 11.51 ± 0.183 f |
| FD40 | 10.37 ± 0.232 e | 8.30 ± 0.358 c | 8.36 ± 0.296 c | |
| FD60 | 9.98 ± 0.323 de | 6.96 ± 0.464 b | 6.59 ± 0.330 b | |
| VD20 | 11.34 ± 0.248 f | 6.96 ± 0.428 b | 7.85 ± 0.166 c | |
| VD40 | 10.16 ± 0.296 de | 6.64 ± 0.074 b | 5.88 ± 0.096 a | |
| VD60 | 8.08 ± 0.219 c | 6.62 ± 0.399 b | 5.60 ± 0.439 a | |
| Factor | Three-factor analysis of variance p-value | |||
| Meat type (MT) | <0.001 | |||
| Drying method (DM) | <0.001 | |||
| Drying temperature (DT) | <0.001 | |||
| MT × DM | <0.001 | |||
| MT × DT | <0.001 | |||
| DM × DT | <0.001 | |||
| MT × DM × DT | <0.001 | |||
| Measurement Location | Sample | Beef Eye of Round | Chicken Fillet | Pork Loin |
|---|---|---|---|---|
| RM | 12.75 ± 0.248 | 7.43 ± 0.255 | 6.90 ± 0.128 | |
| Geometric centre | FD20 | 15.28 ± 0.283 a | 15.95 ± 0.116 ab | 16.15 ± 0.408 bc |
| FD40 | 15.31 ± 0.158 a | 16.24 ± 0.405 bcd | 16.86 ± 0.168 cde | |
| FD60 | 16.17 ± 0.426 bc | 17.48 ± 0.249 ef | 18.59 ± 0.100 ghi | |
| VD20 | 15.95 ± 0.202 ab | 16.92 ± 0.259 de | 18.10 ± 0.102 fg | |
| VD40 | 16.41 ± 0.565 bcd | 18.13 ± 0.298 fg | 18.98 ± 0.388 hi | |
| VD60 | 26.52 ± 0.466 j | 18.33 ± 0.423 gh | 19.16 ± 0.302 i | |
| Surface | FD20 | 15.67 ± 0.269 ab | 18.60 ± 0.217 c | 16.41 ± 0.184 b |
| FD40 | 15.75 ± 0.148 ab | 19.76 ± 0.258 e | 18.84 ± 0.594 c | |
| FD60 | 15.55 ± 0.121 a | 19.95 ± 0.185 e | 19.68 ± 0.257 de | |
| VD20 | 16.02 ± 0.205 ab | 18.62 ± 0.260 c | 16.44 ± 0.178 b | |
| VD40 | 16.41 ± 0.405 b | 18.87 ± 0.504 cd | 24.60 ± 0.743 f | |
| VD60 | 18.51 ± 0.381 c | 27.13 ± 0.438 h | 25.85 ± 0.417 g | |
| Factor | Three-factor analysis of variance p-value | |||
| Meat type (MT) | <0.001 | |||
| Drying method (DM) | <0.001 | |||
| Drying temperature (DT) | <0.001 | |||
| MT × DM | <0.001 | |||
| MT × DT | <0.001 | |||
| DM × DT | <0.001 | |||
| MT × DM × DT | <0.001 | |||
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Rudy, S.; Dziki, D.; Biernacka, B.; Polak, R.; Błaszczyk, W.; Wójtowicz, A.; Mitrus, M.; Domin, M.; Rudy, M. Drying Kinetics and Quality Attributes of Selected Meat Types Subjected to Freeze-Drying and Vacuum-Drying. Appl. Sci. 2026, 16, 6820. https://doi.org/10.3390/app16136820
Rudy S, Dziki D, Biernacka B, Polak R, Błaszczyk W, Wójtowicz A, Mitrus M, Domin M, Rudy M. Drying Kinetics and Quality Attributes of Selected Meat Types Subjected to Freeze-Drying and Vacuum-Drying. Applied Sciences. 2026; 16(13):6820. https://doi.org/10.3390/app16136820
Chicago/Turabian StyleRudy, Stanisław, Dariusz Dziki, Beata Biernacka, Renata Polak, Wiktoria Błaszczyk, Agnieszka Wójtowicz, Marcin Mitrus, Marek Domin, and Mariusz Rudy. 2026. "Drying Kinetics and Quality Attributes of Selected Meat Types Subjected to Freeze-Drying and Vacuum-Drying" Applied Sciences 16, no. 13: 6820. https://doi.org/10.3390/app16136820
APA StyleRudy, S., Dziki, D., Biernacka, B., Polak, R., Błaszczyk, W., Wójtowicz, A., Mitrus, M., Domin, M., & Rudy, M. (2026). Drying Kinetics and Quality Attributes of Selected Meat Types Subjected to Freeze-Drying and Vacuum-Drying. Applied Sciences, 16(13), 6820. https://doi.org/10.3390/app16136820

