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. 2024 Jun 12;14:13563. doi: 10.1038/s41598-024-64382-0

Table 7.

Kinetic and statistical parameters for each LHHW equation resulted from nonlinear regression fitting.

Model Kinetic parameter Statically indicator
k (x) (mol g−1 min−1 barx) a(x) (barx) b (x) (barx) R2 RMSD Variance
C-I1 0.000901 (− 1) − 0.128 (− 1) − 0.0788 (− 1/2) 0.987 0.00029 1.37E−06
C-I2 0.000673 (− 1) − 0.118 (− 1) − 0.709 (− 1/2) 0.978 0.00044 3.14E−06
C-I3 0.000614 (− 3/2) − 0.00748 (− 1) − 0.852 (− 1/2) 0.981 0.00040 2.63E−06
C-I3′ 0.00064 (− 3/2) − 0.859 (− 1/2) 0.981 0.00040 2.37E−06
C-I4 0.000935 (− 2) 0.00972 (− 1) − 0.842 (− 1/2) 0.979 0.00043 2.96E−06
C-I4′ 0.00541 (− 2) − 0.310 (− 3/2) 0.784 0.00139 2.81E−05
C-I5 0.0146 (− 2) − 0.0367 (− 1) 0.746 0.00151 3.31E−05
C-II1 0.00124 (− 1) − 0.211 (− 1) − 0.673 (− 1) 0.99 0.00029 1.42E−06
C-II2 0.00195 (− 1) − 0.293 (− 1) − 0.547 (− 1) 0.984 0.00037 2.31E−06
C-II3 0.00216 (− 2) − 0.0129 (− 1) − 0.723 (− 1) 0.981 0.00041 2.69E−06
C-II4 0.00168 (− 3) − 0.542 (− 2) 0.964 0.00056 4.66E−06
C-III1 0.00574 (− 1) − 0.31 (− 1) 0.519 0.00208 6.28E−05
C-III2 0.0148 (− 2) − 0.061 (− 1) 0.746 0.00151 3.31E−05
C-III3 0.0224 (− 3) 0.0587(− 1) 0.962 0.000535 4.12E−06
C-III3′ 0.0064 (− 3) − 0.523 (− 1) 0.993 0.00022 7.59E−07
C-IV2 0.00224 (− 3/2) − 0.918(− 1/2) 0.99 0.00026 1.04E−06
C-IV3 0.06 (− 2) − 0.897 (− 1/2) 0.247 (− 3/2) 0.99 0.00019 6.27E−07
C-V1 0.00176 (− 1) − 0.787 (− 1/2) 0.947 0.00064 5.82E−05
C-V2 0.00163 (− 2) − 0.746 (− 1/2) 0.994 0.00020 5.87E−05
C-V3 0.00346 (− 3) − 0.436(− 1/2) − 0.0312 (− 3/2) 0.994 0.00020 6.75E−07
C-VI1 0.0057 (− 1) − 0.863 (− 1) 0.92 0.00076 8.31E−06
C-VI2 0.0050 (− 2) − 0.812 (− 1) 0.99 0.00076 7.66E−07
C-VII1 0.00038 (− 1) − 0.165 (− 1/2) − 0.682 (− 1/2) 0.996 0.00015 3.94E−07
C-VII2 0.00342 (− 1) − 0.502 (− 1/2) 0.819 0.00117 1.97E−05
C-VII2′ 0.00058 (− 1) − 0.321 (− 1/2) − 0.489 (− 1/2) 0.996 0.00017 4.651E−07
C-VII3 0.00048 (− 1) − 0.244 (− 1/2) − 0.584 (− 1/2) 0.996 0.00015 4.04E−07
C-VIII3 0.0012 (− 3/2) − 0.332 (− 1/2) − 0.400 (− 1) 0.996 0.00015 4.05E−07
C-IX1 0.00264(− 1) − 0.416 (− 1/2) 0.65 0.00163 3.82E−05
C-IX2 0.007 (− 3/2) − 0.519 (− 1/2) 0.834 0.00112 1.82E−05
C-X3 0.000435 (− 3/2) − 0.0853 (− 1/2) − 0.671 (− 1/2) 0.977 0.000456 3.33E−06