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Table 1 Experimental and coded levels used in box-behnken design for studying the effects of cellulase (x1), macerozyme (x2), mannitol (x3) and hydrolysis time (x4) on yield of isolated protoplasts along with the predicted mean and observed responses, and FDA results

From: Optimization of isolation and transfection conditions of maize endosperm protoplasts

Experimental factor

Coded symbol

Coded variable levels

       

Low

Centre

High

       

−1

0

+1

       

Cellulase (%)

X1

1.00

1.50

2.00

       

Macerozyme (%)

X2

0.50

0.75

1.00

       

Mannitol

X3

0.40

0.60

0.80

       

Hydrolysis time (h)

X4

4

6

8

       

Test Number

Coded levels

Actual levels

Response

Yield, Y (×106 cells/ml)

FDA

X1

X2

X3

X4

X1

X2

X3

X4

Observed Y

Predicted Y

(%)

Coded levels for the four factors selected for protoplast isolation

1

+1

+1

0

0

2.00

1.00

0.60

6

0.95

1.52

92.3

2

+1

−1

0

0

2.00

0.50

0.60

6

1.45

1.68

93.9

3

−1

+1

0

0

1.00

1.00

0.60

6

1.25

1.49

90.9

4

−1

−1

0

0

1.00

0.50

0.60

6

1.10

1.00

95.8

5

+1

0

+1

0

2.00

0.75

0.80

6

1.55

2.22

95.1

6

+1

0

−1

0

2.00

0.75

0.40

6

2.70

2.56

97.2

7

−1

0

+1

0

1.00

0.75

0.80

6

1.70

1.65

94.6

8

−1

0

−1

0

1.00

0.75

0.40

6

3.30

2.43

96.9

9

+1

0

0

+1

2.00

0.75

0.60

8

1.70

1.02

90.3

10

+1

0

0

−1

2.00

0.75

0.60

4

2.85

2.21

95.1

11

−1

0

0

+1

1.00

0.75

0.60

8

0.85

1.22

90.5

12

−1

0

0

−1

1.00

0.75

0.60

4

0.90

1.31

92.0

13

0

+1

+1

0

1.50

1.00

0.80

6

3.00

2.02

96.0

14

0

+

−1

0

1.50

1.00

0.40

6

1.70

1.75

91.8

15

0

−1

+1

0

1.50

0.50

0.80

6

1.35

1.03

94.1

16

0

−1

−1

0

1.50

0.50

0.40

6

1.70

2.41

91.5

17

0

+1

0

+1

1.50

1.00

0.60

8

0.95

0.79

96.4

18

0

+1

0

−1

1.50

1.00

0.60

4

1.15

1.43

92.3

19

0

−1

0

+1

1.50

0.50

0.60

8

1.10

0.62

91.7

20

0

−1

0

−1

1.50

0.50

0.60

4

1.30

1.26

93.8

21

0

0

+1

+1

1.50

0.75

0.80

8

1.30

1.88

95.8

22

0

0

+1

−1

1.50

0.75

0.80

4

1.10

1.20

97.3

23

0

0

−1

+1

1.50

0.75

0.40

8

0.75

1.12

93.3

24

0

0

−1

−1

1.50

0.75

0.40

4

3.20

3.08

93.8

25

0

0

0

0

1.50

0.75

0.60

6

7.75

8.03

93.3

26

0

0

0

0

1.50

0.75

0.60

6

8.50

8.03

93.9

27

0

0

0

0

1.50

0.75

0.60

6

7.60

8.03

91.8

28

0

0

0

0

1.50

0.75

0.60

6

8.25

8.03

96.7

29

0

0

0

0

1.50

0.75

0.60

6

8.05

8.03

94.1