Table 2 Mathematical models of mechanical refining CRRD for cellulose conversion response as a function of time.

From: Pilot-scale high-consistency mechanical refining improves enzymatic saccharification of lignocellulosic feedstock

Time (h)

Mathematical models

R²

Fcal

Ftab

6

Y₁ = 20.40 + 0.63 x₁ + 0.30 x₁² − 0.37 x₂ − 1.52 x₂² + 1.27 x₁ x₂

41.26

0.80

5.05

24

Y₂ = 29.79 + 0.34 x₁ + 2.81 x₁² − 1.08 x₂ + 0.96 x₂² − 1.43 x₁ x₂

87.15

8.10

5.05

30

Y₃ = 32.72 − 0.04 x₁ + 2.79 x₁² − 0.81 x₂ + 0.77 x₂² − 0.53 x₁ x₂

68.82

2.60

5.05

48

Y₄ = 40.29–0.31 x₁ + 1.44 x₁² + 1.77 x₂ + 0.84 x₂² + 0.28 x₁ x₂

40.63

0.80

5.05

72

Y₅ = 46.07 + 0.02 x₁ + 0.95 x₁² − 0.43 x₂ + 0.40 x₂² − 0.15 x₁ x₂

25.69

0.40

5.05