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. 2020 Oct 29;15:8345–8356. doi: 10.2147/IJN.S250630

Table 1.

The Data from Experimental Design of Independent Variables for Optimization of Cs/Alg/B NPs

Variables and Their Levels in the Experiment Design
Independent Variables Symbol Levels Dependent Variables Units Constraints
−1 0 1
pH A 4.8 5.15 5.5 Y1=Particle Size (PS)
Y2=Loading efficacy
nm
%
Minimize
Maximize
Cs/Alg Mw ratio B 0.5 1. 75 3 Y3=Polydispersity index (PDI)
Y4=ζ-potential
-
mv
Less than 0.5
Maximize
Stirring rate (rpm) C 900 1100 1300 Y5=Cumulative Release (CR)
Y6=Morphological degradation time (MDT)
%
Day
Maximize
Maximize
Experimental design matrix and results of Box–Behnken design
Independent variables Dependent variables
Run A B C Size (nm) LE (%) CR (%) ζ-potential (mV) PDI MDT
1 0 0 0 525 25 15 34.3 0.62 4
2 1 0 1 611 19 10 34 0.7 4
3 0 0 0 522 27 17 35 0.65 4
4 1 1 0 898 22 12 23 0.8 2
5 0 −1 −1 189 76 66 22 0.4 14
6 0 −1 1 256 70 60 23 0.55 12
7 −1 0 1 557 22 15 38 0.7 3
8 0 1 −1 802 20 10 23 0.72 2
9 1 −1 0 275 72 60 23 0.6 13
10 0 0 0 523 25 16 37 0.67 4
11 0 1 1 900 19 15 39 0.86 3
12 −1 −1 0 235 70 61 24 0.5 13
13 0 0 0 520 29 19 37 0.61 5
14 0 0 0 519 27 18 35 0.56 4
15 −1 0 −1 501 25 18 33 0.63 4
16 −1 1 0 811 20 15 23 0.76 3
17 0 −1 −1 598 17 11 33 0.68 4
Analysis of variance for Box–Behnken design refined models
Dependent Variables Source of Variations Mean Square F-value P-value > F R2 Adjusted R2 Predicted R2
Particle size (PS) Model Lack of fit 85155.65 534.47 ‹0.0001 0.9985 0.9967 0.9772
Polydispersity index (PDI) Model Lack of fit 0.020 8.46 0.0051 0.9158 0.8075 0.1676
ζ-potential Model Lack of fit 70.90 45.96 ‹0.0001 0.9834 16.074 0.8742
Morphological degradation time (MDT) Model Lack of fit 31.53 196.77 ‹0.0001 0.9954 0.9676 0.9896
Cumulative release (CR) Model Lack of fit 765.09 212.10 ‹0.0001 0.9963 0.9624 0.9916
Loading efficacy (LE) Model Lack of fit 836.91 117.28 ‹0.0001 0.9934 0.9159 0.9849