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143 protocols using design expert 8

1

Optimizing Free Fatty Acid Extraction

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The experimental design and statistical analysis were created and performed using Design-Expert 8.0 (Stat-Ease, Inc, Minneapolis, USA) . Response surface methodology with a five-factor, three-level Box-Behnken design (BBD) was utilized to study the effect of the hydrolysis parameters on the FFA contents in the products. Five independent factors, namely temperature (X 1 ,℃) , water amount (X 2 , %) , DESs amount (X 3 , %) , lipase dosage (X 4 , %) , and reaction time (X 5 , h) were used, and three levels were applied to each factor (Table 2) . The ranges of the variables investigated were selected according to the preliminary experiments. The response was FFA content in the product mixture. The five replicates of the center points assay the repeatability of the designed method and used to examine the experimental error. The relationships between the response and the variables were expressed as a quadratic polynomial regression model. The mathematical model proposed for the response of Y was:
where X i and X j represent the independent variables; β 0 , β i , β ii , β ij are the model intercept, linear term coefficient, quadratic term coefficient, and the interaction regression coefficient, respectively. The fit of the model was analyzed by coefficients of determination (R 2 ) and the analysis of variance (ANOVA) using Design-Expert 8.0 (Stat-Ease Inc., Minneapolis, USA) .
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2

Optimizing SalB and Re Combination

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Response surface methodology with central composite design (CCD) was performed to optimize the combination of SalB and Re (SR). A two-factor, five-level center CCD was finished. CCD was created by Design Expert 8.0.6 software (Stat-Ease, Inc.), and thirteen combinations, including six replicates at central point was chosen randomly according to CCD which are listed in Table 3. Based on the result of the steepest ascent test, the initial concentration of SalB is 63 μg/mL and Re is 120 μg/mL. The data analysis, model construction, and 3D response surface graph generation were performed using Design Expert 8.0.6 software (Stat-Ease, Inc.).
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3

Optimization of LCZ-Nanoemulsion Formulation

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In order to optimize the formulation of LCZ-NE, Design-Expert 8.0 software (Stat-Ease, Inc., Minneapolis, MN, USA) was used for the design of the experiments [41 (link),42 (link)]. The above-mentioned experiment suggested that two factors, including the quantity of the selected oil and the Km, influenced the properties of the NE. The quantities of the oil (X1) were 10–30%, and the Km (X2) was 1–4, as independent variables Formulation optimization was conducted using Design Expert 8.0 software; the NE droplet size (Y1, DS) and the drug content (Y2, DC) were used as evaluation indices (dependent variables). According to the experimental design scheme, the oil, surfactant and co-surfactant in a total quantity of 1 g were mixed well in a beaker using gentle magnetic stirring in a water bath at 37 ℃ ± 2 ℃; then, an excess amount of LCZ was added into the mixtures, with purified water added dropwise into the mixture until the total volume was 10 mL. After standing overnight, excess LCZ was removed using centrifugation (10,000 rpm for 10 min), and the DS was measured using dynamic light scattering (DLS) (NanoZS90, Malvern Instruments, Malvern, UK). The DC of LCZ-NE was assayed using HPLC.
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4

High-Pressure Homogenization of Bacterial Suspensions

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A French press (model FA078A with 40 K pressure cell; Thermo Spectronic, Rochester, NY, USA) was used for high-pressure homogenization. For each experiment, 15 mL of cell suspension was prepared at the desired concentration of biomass. PMSF was added to a final concentration of 0.5 mM to suppress protease-mediated degradation of the released proteins. The 40 K pressure cell was precooled to 4 °C before being filled with the bacterial suspension. The cell suspension at 4 °C was then disrupted for a predetermined number of passes. Between passes, the cell slurry was held in an ice bath.
The experimental factors of the number of passes, the processing pressure and the biomass concentration were set at the desired values in keeping with the matrix designed by Design Expert™ 8.0 software (Stat-Ease Inc, USA). The ADI activity, the total protein release and the fraction of the cells disrupted were measured as explained in the following sections.
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5

Optimizing TCEO Yield using BBD

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Design Expert 8.0 software (Stat-Ease, Minneapolis, USA) was employed to perform BBD. ANOVA was applied to determine the statistically significant differences between the compared data in the TCEO yield.
All experiments were performed in triplicate. A BBD matrix comprising 29 trials was formulated with Design Expert software. The real responses of each experiment matrix run through BBD are expressed as the average values that were grounded on the built-in default settings in Design Expert 8.0 software, and the others are represented as the mean values ± SD. The level of confidence required for significance was set at p < 0.05. The identified TCEO was analyzed by GC-MS, and the analysis discrimination of TCEO was employed with an E-nose.
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6

Response Surface Methodology for Metabolite Optimization

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RSM is an effective method in predicting the relationship between key factors from a multivariable system by providing optimized levels [29 (link)]. It has been widely used in culture condition optimization for increasing metabolites production by microbes [28 (link), 30 (link), 31 (link)]. The Box–Behnken experimental design in the RSM has been widely used in biofuels production optimization such as butanol and butyric acid [29 (link), 31 (link)]. The statistical results in the Box–Behnken experimental design can be used to study the relationships among a number of independent variables and responses [32 (link)].
Experiments based on three-levels of three variables (sucrose, lactate, and butyrate) were carried out by the response surface methodology (RSM). Three levels of the three variables, low (− 1), middle (0), high (+ 1), and the codes were shown in Table 3. Each experiment was performed in triplicates. All the data analysis was completed in Design-Expert 8.0 software (stat-ease, MN, USA).
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7

Plackett-Burman Optimization of Granulation Factors

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To screen the granulation factors, the Plackett–Burman experimental design was conducted [34 (link)]. Nine granulation factors, including three-dimensional mixing time, dry mixing time, ethanol concentration, S. miltiorrhiza extract powder ratio, binder solution amount, binder addition time, impeller speed, chopper speed, and drying time were selected as independent factors, which varied at low and high levels (see Table 1). D50 was used as a dependent response.
Next, Design-Expert 8.0 software (Stat-Ease, Inc., Minneapolis, MN, USA) was applied to generate and evaluate the statistical experimental design involving 12 combinations. The matrix of Plackett–Burman design includes granulation factors and responses (see Section 4.2).
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8

Optimizing Photocatalyst Activity via RSM

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In order to optimize photocatalyst activity, the RSM has been used. Design Expert 8.0 software (Stat-Ease, Inc., USA) was used to design experiments and analyze mathematical modeling. Each experiment was performed in duplicate. Box–Behnken design (BBD) was applied in this study because of its rotatable or nearly rotatable second-order design. The “y” was the response (the percentage of naproxen degradation). We evaluated four independent variables, including catalyst loading dosage, initial concentration of naproxen, time and pH value in order to find an optimal condition: y=f(x1,x2,x3,x4)
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9

Optimizing Paraffin Wax Biodegradation

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One-factor-at-a-time method and RSM were used to select appropriate levels of the culture time (4, 6, 8, 10, and 12 days), the inoculation amount (1, 2, 3, 4, and 5%), and the medium initial pH (6, 7, 8, 9, 10, and 11) . A quadratic regression model describing the effect of the 3 process conditions on the rate of biodegradation was developed using a Box-Behnken experimental design. Considering the culture time, inoculation amount, and medium initial pH as parameters, as well as the paraffin wax degradation rate as the response value, the 3 factors and levels were analyzed using a Box-Behnken central composite experimental design. The response surface variables and the optimal conditions for paraffin wax degradation were obtained by the Design-Expert 8.0 software (Stat-Ease, Inc. Minneapolis, MN, USA) based on regression analysis of the experimental data.
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10

Optimizing Flavonoid Extraction via Response Surface Methodology

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The response surface methodology (RSM) is widely applied to explore the estimated functional relationship between a response variable and design variables as well as search for the optimal conditions of factors for desirable responses. According to the preliminary results of the single factor and Plackett-Burman design experiments, the independent variables and their ranges were chosen for the further optimization. In order to obtain the optimal extracting conditions and investigate the effects of the independent variables on the flavonoid yield (Y), a Box-Behnken design with three variables, i.e., concentration of ethanol (A), extraction time (B), and microwave power (C), at three levels (Table 4) was performed using Design Expert 8.0 software (Stat-Ease, Minneapolis, MN). In addition, Y was used as the dependent variable, and its values in each trial were the average of the triplicates.
To predict the optimal extracting conditions, a second-order polynomial model concerning the relationship between the independent and response variables was established, as shown in Eq. 1,
where Yk is the response, ak0, aki, akii, and akij are coefficients for the intercept, linear, quadratic, and interactive terms, respectively, and xi, xi 2 , and xixj are the linear, quadratic, and interactive terms of the coded independent variables, respectively.
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