Table 4 Central composite design representing uricase production by Aspergillus welwitschiae as affected by incubation time (days) (X1), inoculum size (mL/50 mL medium) (X2) and yeast extract (g/L) (X3) with actual and coded factor levels.

From: Mathematical modeling for bioprocess optimization of a protein drug, uricase, production by Aspergillus welwitschiae strain 1–4

Std

Run

Type

Variables

Uricase activity (U/mL)

Residuals

X1

X2

X3

Experimental

Predicted

8

1

Factorial

1

1

1

36.28

39.61

−3.33

15

2

Center

0

0

0

60.03

58.08

1.95

5

3

Factorial

−1

−1

1

38.19

38.41

−0.22

14

4

Axial

0

0

1.68

34.56

32.82

1.74

17

5

Center

0

0

0

55.47

58.08

−2.61

12

6

Axial

0

1.68

0

42.33

40.29

2.04

13

7

Axial

0

0

−1.68

40.02

40.82

−0.80

18

8

Center

0

0

0

57.29

58.08

−0.79

20

9

Center

0

0

0

58.2

58.08

0.12

11

10

Axial

0

−1.68

0

35.88

36.98

−1.10

16

11

Center

0

0

0

59.11

58.08

1.03

7

12

Factorial

−1

1

1

36.95

36.67

0.28

9

13

Axial

−1.68

0

0

44.74

46.40

−1.66

10

14

Axial

1.68

0

0

59.01

56.41

2.60

3

15

Factorial

−1

1

−1

41.41

41.89

−0.48

4

16

Factorial

1

1

−1

50.65

51.09

−0.44

1

17

Factorial

−1

−1

−1

39.11

36.44

2.67

19

18

Center

0

0

0

58.21

58.08

0.13

2

19

Factorial

1

−1

−1

44.46

45.41

−0.95

6

20

Factorial

1

−1

1

40.93

41.12

−0.19

Variable

Code

Coded and actual levels

−1.68

−1

0

1

1.68

Incubation time (days)

X1

3.32

4

5

6

6.68

Inoculum size (mL/50 mL medium)

X2

2.32

3

4

5

5.68

Yeast extract (g/L)

X3

1.16

1.5

2

2.5

2.84