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Table 1 Evaluation on effect of various independent and dependent variables on simvastatin NLC characteristics (n = 3), Box-Behnken—multiple linear regression method

From: Formulation, in-vitro and in-vivo pharmacokinetic evaluation of simvastatin nanostructured lipid carrier loaded transdermal drug delivery system

Std

Run

Independent variables

Dependant variables

Other variables

Factor A: (Compritol 188ATO : Softigen)

X1 in mg

Factor B: surfactant (Span 80) X2 in mg

Factor C: Homo. speed (15,000 rpm) time X3 min

Factor A: X1 in mg

Factor B: X2 in %

Factor C: X3 min

PS

Y1 nm

ZP

Y2 mV

EE

Y3 %

% drug content

15

1

0

0

0

8: 2

0.5

10

197.6 ± 2.64

− 26.8 ± 2.04

76.62 ± 3.62

87.24 ± 1.48

14

2

0

0

0

8: 2

0.5

10

195.2 ± 3.2

− 23.8 ± 2.06

76.82 ± 2.86

84.48 ± 2.02

1

3

− 1

− 1

0

7:3

0.25

10

145.4 ± 2.46

− 13.1 ± 2.02

90.40 ± 2.42

88.62 ± 2.24

4

4

1

1

0

9:1

1.0

10

675.9 ± 2.66

− 32.3 ± 2.16

56.28 ± 3.84

67.34 ± 2.42

11

5

0

− 1

1

8: 2

0.25

15

192.5 ± 2.56

− 19.9 ± 2.24

78.64 ± 3.26

86.54 ± 2.68

16

6

0

0

0

8: 2

0.5

10

193.2 ± 3.86

− 22.8 ± 2.22

76.28 ± 2.32

86.56 ±2.94

3

7

− 1

1

0

7:3

1.0

10

125.4 ± 2.66

− 33.6 ± 2.42

88.40 ± 2.44

89.42 ± 2.86

17

8

0

0

0

8: 2

0.5

10

203.3 ± 3.46

− 21.4 ± 2.12

76.84 ± 3.66

76.24 ± 2.48

13

9

0

0

0

8: 2

0.5

10

207.1 ± 2.36

− 22.0 ± 2.24

75.42 ± 2.86

79.86 ± 2.68

10

10

0

1

− 1

8:2

1.0

5

201.1 ± 2.26

− 30.7 ± 2.68

76.80 ± 3.44

78.56 ± 2.66

9

11

0

− 1

− 1

8: 2

0.25

5

194.8 ± 3.16

− 13.1 ± 2.10

74.50 ± 2.86

79.84 ± 2.08

8

12

1

0

1

9:1

0.5

15

511.0 ± 2.06

− 26.5 ± 2.12

58.84 ± 3.60

62.54 ± 3.42

6

13

1

0

− 1

9:1

0.5

5

695.8 ± 3.26

− 23.5 ± 2.06

54.50 ± 3.98

56.44 ± 3.42

5

14

− 1

0

− 1

7:3

0.5

5

168.7 ± 2.46

− 24.7 ± 2.54

92.20 ± 2.46

83.44 ± 3.12

12

15

0

1

1

8: 2

1.0

15

195.1 ± 2.66

− 33.4 ± 2.32

77.24 ± 3.76

78.54± 2.20

2

16

1

− 1

0

9:1

0.25

10

667.0 ± 3.86

− 17.2 ± 2.10

56.40 ± 2.66

54.34 ± 4.24

7

17

− 1

0

1

7:3

0.5

15

145.3 ± 2.66

− 21.7 ± 2.68

89.40 ± 3.64

84.52 ± 2.08

  1. Run7, i.e., formulation F7 is the desired optimized formulation with preferred particle size of 125.4 ± 2.66 nm with good stability, based on good surface charge potential, i.e., zeta potential of − 33.6 ± 2.42 mV and good drug entrapment efficiency of 88.40 ± 2.44%.