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

Table 5.

Mathematical models’ constants and statistical measures results for NTS drying using SDET 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) 0.28902 0.98394 0.00129 0.03462 0.00120 24.35329
Page 0.35632 0.85171 0.99091 0.00079 0.02602 0.000677 15.71114
Combined Two-Term and Page 0.24160 0.65942 0.42720 0.31885 0.94185 0.99248 0.00087 0.02366 0.000560 14.39044
Modified Henderson and Pabis 0.01322 0.08186 0.413929 0.51578 0.39809 0.34568 0.99857 0.000186 0.01032 0.000106 3.87276
Modified Midilli II 0.32937 0.91660 0.084044 1.099653 0.99951 0.000052 0.00607 0.000037 3.85738
Modified Page III 0.97700 1.54033 0.66867 0.984645 0.001459 0.033852 0.001146 23.46553
Modified Two Term III 0.28902 1.00000 0.98394 0.00140 0.034616 0.001198 24.35329
Logistics 0.28217 3717.21 3639.4 0.98463 0.00146 0.03386 0.001147 23.49855
Simplified Ficks Diffusion 0.97700 0.66867 1.54033 0.984645 0.001459 0.033852 0.001146 23.46553
Approximation diffusion 0.28902 1.00 1.00 0.98394 0.001525 0.034616 0.001198 24.35329
Parabolic model 0.90410 − 0.17600 0.00908 0.963216 0.003487 0.052339 0.002739 27.40499
8 Newton (Lewis) 0.23421 0.97600 0.001761 0.040631 0.001651 24.26645
Page 0.32160 0.80509 0.99148 0.00067 0.02419 0.000585 10.35877
Combined Two-Term and Page 0.30978 0.96318 0.052747 0.411063 0.814456 0.99182 0.00082 0.02370 0.000562 10.45093
Modified Henderson and Pabis 0.07815 0.25389 0.343745 0.41363 0.38103 0.36647 0.99712 0.00032 0.014067 0.000198 6.45389
Modified Midilli II 0.31071 0.92479 0.080789 0.977067 0.99626 0.000343 0.016032 0.000257 8.714082
Modified Page III 0.95473 1.65769 0.61110 0.97888 0.001789 0.038122 0.001453 21.76363
Modified Two Term III 0.23421 1.00000 0.97600 0.00189 0.04063 0.001651 24.26645
Logistics 0.22572 7085.33 6850.41 0.97867 0.00181 0.03831 0.001468 22.33869
Simplified Ficks Diffusion 0.95473 0.61110 1.65769 0.978881 0.001789 0.038122 0.001453 21.76363
Approximation diffusion 0.23421 1.00 1.00 0.97600 0.00203 0.04063 0.001651 24.26645
Parabolic model 0.88758 − 0.14115 0.00611 0.953644 0.003919 0.056427 0.003184 24.45569
12 Newton (Lewis) 0.18896 0.96216 0.00255 0.04903 0.00240 23.00661
Page 0.29054 0.76610 0.98961 0.00074 0.02569 0.000660 7.00268
Combined Two-Term and Page 0.28550 0.97761 0.039659 0.55590 0.76823 0.98993 0.000885 0.02528 0.000639 7.02288
Modified Henderson and Pabis 0.10490 0.29684 0.220726 0.49575 0.10343 0.46559 0.99411 0.00056 0.01934 0.000374 7.48202
Modified Midilli II 0.29644 0.94898 0.062334 0.84984 0.991257 0.000714 0.023561 0.000555 9.637797
Modified Page III 0.92982 1.79757 0.56178 0.969778 0.002306 0.043833 0.001921 18.76276
Modified Two Term III 0.18896 1.00000 0.96216 0.00270 0.04903 0.002404 23.00661
Logistics 0.17291 4303.42 3980.14 0.96973 0.00231 0.04387 0.001925 18.51381
Simplified Ficks Diffusion 0.92982 0.56178 1.79757 0.969778 0.002306 0.043833 0.001921 18.76276
Approximation diffusion 0.18896 1.00 1.00 0.962157 0.002885 0.049034 0.002404 23.00661
Parabolic model 0.87417 − 0.11395 0.00417 0.944973 0.004192 0.059106 0.003494 21.85639

Significant values are in bold.