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. 2025 Mar 21;15:9822. doi: 10.1038/s41598-025-94194-9

Table 4.

Mathematical models’ constants and statistical measures results for NTS drying using OLPG under different slices thickness.

ST, mm Model name Constants Statistical measures
k a b c d g h L n R2 χ2 RMSE SSE E, %
4 Newton (Lewis) 0.23370 0.99739 0.00023 0.01458 0.000213 8.44842
Page 0.23453 0.99778 0.99739 0.00025 0.01458 0.000213 8.40417
Combined Two-Term and Page 0.23831 1.00616 0.00000 0.74762 0.99214 0.99745 0.00032 0.01442 0.000208 8.349581
Modified Henderson and Pabis 0.16284 0.32468 0.34774 0.34133 0.27189 0.30480 0.99786 0.00031 0.01321 0.000175 7.30894
Modified Midilli II 0.21938 0.93700 0.05918 1.139193 0.99974 0.000030 0.00464 0.000021 2.04850
Modified Page III 1.00485 1.63262 0.62603 0.997425 0.000267 0.014491 0.000210 8.562324
Modified Two Term III 0.23370 1.00000 0.997392 0.000248 0.014583 0.000213 8.448424
Logistics 0.23822 34.49601 35.64725 0.99735 0.00028 0.01470 0.000216 8.81246
Simplified Ficks Diffusion 1.00485 0.62603 1.63262 0.997425 0.000267 0.014491 0.000210 8.562324
Approximation diffusion 0.23370 1.00 1.00 0.99739 0.00027 0.01458 0.000213 8.44842
Parabolic model 0.95973 − 0.16808 0.00796 0.99319 0.000707 0.023566 0.000555 12.21016
8 Newton (Lewis) 0.215918 0.99647 0.00030 0.01670 0.00028 10.97187
Page 0.22339 0.97991 0.99659 0.00031 0.01641 0.000269 10.27545
Combined Two-Term and Page 0.23147 1.01219 0.00000 0.80013 0.96610 0.99673 0.00038 0.01608 0.000259 10.0587
Modified Henderson and Pabis 0.21657 0.33431 0.334308 0.33431 0.21657 0.21657 0.99648 0.000445 0.01667 0.000278 11.0431
Modified Midilli II 0.20479 0.93590 0.06194 1.13534 0.99988 0.000013 0.00314 0.000010 1.19792
Modified Page III 1.00292 1.68070 0.61176 0.99648 0.000342 0.01667 0.000278 11.04312
Modified Two Term III 0.21592 1.00000 0.996472 0.000319 0.01670 0.000279 10.97187
Logistics 0.21731 20,529.02 20,657.31 0.99647 0.00034 0.01671 0.000279 11.12284
Simplified Ficks Diffusion 1.00292 0.61176 1.68070 0.996483 0.000342 0.016672 0.000278 11.04312
Approximation diffusion 0.21592 1.00 1.00 0.99647 0.00034 0.01670 0.000279 10.97187
Parabolic model 0.94759 − 0.14911 0.00628 0.98841 0.001127 0.030263 0.000916 16.90424
12 Newton (Lewis) 0.198211 0.99270 0.00058 0.02343 0.00055 15.23128
Page 0.21889 0.94406 0.99372 0.00053 0.02174 0.000473 12.88814
Combined Two-Term and Page 0.23110 1.01900 0.00000 0.74436 0.92417 0.99403 0.00062 0.02119 0.000449 12.5566
Modified Henderson and Pabis 0.19753 0.33225 0.33225 0.33225 0.19753 0.19753 0.99272 0.00082 0.02341 0.000548 15.14199
Modified Midilli II 0.19155 0.92272 0.075855 1.14790 0.99985 0.000014 0.003354 0.000011 1.192152
Modified Page III 0.99676 1.72440 0.58738 0.992716 0.000658 0.023409 0.000548 15.14199
Modified Two Term III 0.19821 1.00000 0.99270 0.00062 0.02343 0.000549 15.23128
Logistics 0.19812 419.87 419.74 0.99269 0.00066 0.02345 0.000550 15.22594
Simplified Ficks Diffusion 0.99676 0.58738 1.72440 0.992716 0.000658 0.023409 0.000548 15.14199
Approximation diffusion 0.19821 1.00 1.00 0.99270 0.00066 0.02343 0.000549 15.23128
Parabolic model 0.93653 − 0.13367 0.00511 0.983133 0.001522 0.035611 0.001268 18.77383

Significant values are in bold.