Design and Optimization of Sustained-Release Divalproex Sodium Tablets with Response Surface Methodology

Response surface methodology is defined as a collection of mathematical and statistical methods that are used to develop, improve, or optimize a product or process. In the present study, a statistical design (Mixture Design) was employed for formulation and optimization of a sustained-release hydrophilic divalproex sodium matrix tablet. Different excipients were used to improve the drug’s poor flowability. The hardness of the prepared tablets and also their release pattern were tested. The formulation design was carried out employing mixture design using four excipients in three levels. The Carr’s index of formulations and tensile strength were determined and analyzed using Minitab software. The suitable formulations regarding flowability and tablet tensile strength were selected by this software for subsequent drug release studies. The dissolution tests were carried out in acidic and basic phases which were previously proved to be biomimetic. Samples were analyzed using HPLC, and release data were compared to Depakine® (sustained-release divalproex from Sanofi). Release kinetics was also determined for selected formulations. Selected formulations were subjected to dissolution test and showed similar dissolution profiles with Depakine® based on difference and similarity factor calculations. The software selected an optimized formulation which had a slightly different release pattern in vitro compared to innovator but of nearly zero-order kinetics. It can be concluded that application of Mixture Design is a shortcut method to design suitable formulations of sustained-release divalproex sodium containing hydrophilic matrix tablets by direct compression method.     

Influence of Bentonite Proportion in Natural Clay on Pb2+ ions Sorption: Response Surface Methodology,Kinetics and Equilibrium Studies

The influence of natural clay's bentonite proportion on Pb²⁺ sorption capacity was investigated using response surface methodology (RSM), kinetics and equilibrium studies. Experiments were conducted at different initial pH (3–7), bentonite to clay ratio (0–100%), initial Pb²⁺ ions concentration (20–120 mg/L) and sorbent dosage (0.2–1 g). Under the RSM study, data obtained from 27 experiments undertaken were found to fitted second-order polynomial model (R² = 0.998 and R²-predicted = 0.994). Analysis of variance showed that the Pb²⁺ sorption capacity was influenced according to the order; initial concentration> mass of adsorbent > initial pH > bentonite proportion. Optimal operating conditions were obtained at initial pH 5, 0.2 g sorbent dosage, 30% bentonite to clay ratio and 100 mg/L Pb²⁺ ion concentration. Regardless of the bentonite proportion, Pb²⁺ sorption kinetics followed pseudo-second-order associated with intra-particle diffusion. The sorption isotherm for the clay which was described by Freundlich yielded higher adsorption capacity (25 mg/g) while that of the bentonite was described by Langmuir model with lower maximum sorption capacity of 15 mg/g. These results suggest that sorption of the Pb²⁺ ions was not likely to significantly impact on the removal of Pb²⁺ ions during electrokinetic remediation process of clay having different proportion of bentonite.     

响应面法优化酿酒酵母产油脂条件

运用响应面法对酿酒酵母(Saccharomyces cerevisiae)产油脂以及发酵条件优化进行了研究。首先根据单因素实验结果,利用Plackett-Burman设计对影响其产油脂相关因素进行评估并筛选出具有显著效应的3个因素:柠檬酸,CaCl2和初始pH值。接着用最陡爬坡试验逼近以上3个因子的最大响应区域后,采用Box-Behnken设计以及响应面分析法,确定其优化后发酵条件为(w/v):葡萄糖15%,蛋白胨0.2%,酵母浸粉0.4%,柠檬酸0.471%,MgSO4·7H2O0.1%,ZnSO4·7H2O0.2%,CaCl20.025%,FeSO4·7H2O0.005%,初始pH值为6.74,180r/min,30°C培养96h。优化后的油脂产率(干重)达到14.55%,比在种子培养基中油脂产率4.76%提高了2倍左右。     

Application of Response Surface Methodology to Evaluation of Bioconversion Experimental Conditions

Using Candida tenuis, a yeast isolated from the digestive tube of the larva of Phoracantha semipunctata (Cerambycidae, Coleoptera), we were able to demonstrate the bioconversion of citronellal to citronellol. Response surface methodology was used to achieve the optimization of the experimental conditions for that bioconversion process. To study the proposed second-order polynomial model, we used a central composite experimental design with multiple linear regression to estimate the model coefficients of the five selected factors believed to influence the bioconversion process. Only four were demonstrated to be predominant: the incubation pH, temperature, time, and the amount of substrate. The best reduction yields (close to 90%) were obtained with alkaline pH conditions (pH 7.5), a low temperature (25°C), a small amount of substrate (15 μl), and short incubation time (16 h). This methodology was very efficient: only 36 experiments were necessary to assess these conditions, and model adequacy was very satisfactory as the coefficient of determination was 0.9411.     

基于响应面法的白蜡属花粉离体萌发培养基优化

基于Box-Behnken设计(Box-Behnken design, BBD)的响应面法, 对绒毛白蜡(Fraxinus velutina)、新疆小叶白蜡(F. sogdiana)和美国白蜡(F. americana)3个树种花粉的离体萌发培养基成分进行了研究。以花粉萌发率为响应指标, 建立了3种培养基成分(蔗糖、CaCl₂和H₃BO₃)与花粉萌发率间的响应关系模型。在此基础上, 通过无约束优化设计得到了3个树种花粉的最佳萌发条件。 结果表明, 蔗糖是影响花粉萌发的最主要因素, 当蔗糖浓度一定时, CaCl₂和H₃BO₃之间交互作用明显。同时还对响应面建模优化后得到的最佳萌发培养基进行了验证, 结果表明: 上述3种花粉的实际萌发率依次为58.33%、69.71%和59.42%, 均与优化得到的理论响应值相吻合, 同时也验证了基于BBD响应面模型进行花粉离体萌发条件优化方法的有效性。     

基于响应面法的白蜡属花粉离体萌发培养基优化

基于Box-Behnken设计(Box-Behnken design,BBD)的响应面法,对绒毛白蜡(Fraxinus velutina)、新疆小叶白蜡(F.sogdiana)和美国白蜡(F.americana)3个树种花粉的离体萌发培养基成分进行了研究。以花粉萌发率为响应指标,建立了3种培养基成分(蔗糖、CaCl2和H3BO3)与花粉萌发率间的响应关系模型。在此基础上,通过无约束优化设计得到了3个树种花粉的最佳萌发条件。结果表明,蔗糖是影响花粉萌发的最主要因素,当蔗糖浓度一定时,CaCl2和H3BO3之间交互作用明显。同时还对响应面建模优化后得到的最佳萌发培养基进行了验证,结果表明:上述3种花粉的实际萌发率依次为58.33%、69.71%和59.42%,均与优化得到的理论响应值相吻合,同时也验证了基于BBD响应面模型进行花粉离体萌发条件优化方法的有效性。     

Ectoine Production by Halomonas boliviensis: Optimization Using Response Surface Methodology

Two cultivation steps were used for production of biomass and ectoine by Halomonas boliviensis, respectively. The optimization of some nutrient parameters in each step was investigated by using response surface methodology. Twenty and 12 experiments were performed to attain optimal conditions for biomass and ectoine production, respectively. The model predicted a maximum biomass concentration of 3.34 g/L on optimization of NH₄Cl, K₂HPO₄, and MgSO₄•7H₂O concentrations during the first cultivation, while a maximum ectoine concentration of 1.27 g/L was predicted on optimizing NaCl and monosodium glutamate concentrations in the second cultivation. The experimental values obtained (3.36 g biomass/L and 1.25 g ectoine/L) were in good agreement with the predicted values. The optimized conditions were also used for two-step 1.5-L fed-batch fermentations. In the first step, biomass concentration of 28.7 g/L was obtained while in the second step biomass concentration increased to 63 g/L. Ectoine concentration of 9.2 g/L was obtained, and the overall ectoine productivity was 6.3 g/L/day, being among the highest reported so far.     

响应面优化丙酮粉法提取金银花多酚氧化酶

对丙酮粉法提取金银花多酚氧化酶的工艺进行研究,结果表明,缓冲液p H、料液比、提取时间对PPO比活力影响显著。缓冲液p H与料液比交互作用极其显著,回归模型拟合性良好(R2=99.31%);影响显著顺序为:静置时间缓冲液p H值料液比;最优化工艺参数为:缓冲液p H7.5,料液比为1∶120,提取时间为14.5 min。在此条件下,酶比活力为137.389 U/mg。     

Process Optimization for the Production of Bio-functional Whey Protein Hydrolysates: Adopting Response Surface Methodology

Whey is a protein complex derived from milk, exhibit highest protein quality rating among other proteins, being touted as a functional food with number of health benefits. In the present investigation, whey proteins hydrolysates produced using trypsin enzyme to augment antioxidant activity and to assess angiotensin converting enzyme (ACE) inhibition activity. Hydrolysis parameters were standardized applying response surface methodology. The response antioxidant activity in terms of Trolox equivalent antioxidant capacity (TEAC) values was determined by radical scavenging assay method. Optimum conditions for maximum antioxidant activity were standardized at 88 °C of preheating, 7.3 pH, 0.05 enzymes to substrate ratio and hydrolysis was carried up to 8 h at 36.5 °C. Resulting peptide fractions obtained at 11.8 % of degree of hydrolysis displayed antioxidant capacity with TEAC values of 1.37 ± 0.12. The designed model found to be significant with R² value of 0.9972 for antioxidant activity and lack of fit test-as non significant, indicating that the optimized conditions were best suited. The hydrolysate further investigated for antihypertensive activity. The outcome indicate that to affect decrease in ACE inhibition activity 4,166.72 μg of native whey protein is required when compared to 229.96 μg of hydrolysates. These results indicate hydrolysate produced under these conditions could be an effective nutraceutical.     

响应面法对小球藻Chlorella zofingiensis高产虾青素条件的优化

采用析因设计法(Plackett-burman)对影响Chlorella zofingiensis高产虾青素的相关因素进行评价,发现硝酸钠、光照强度、二价铁离子及醋酸钠浓度对虾青素产量影响显著.利用中心组合设计(central composite design)及响应面分析对影响虾青素产量的关键因素做进一步的优化,得到较佳的试验点为二价铁离子浓度0.41 mmol/L,硝酸钠浓度0.8 mmol/L,醋酸钠浓度37.1 mmol/L,光照强度650 E/m2×s.优化后虾青素产量从7.890mg/L提高到19.81mg/L,比优化前提高了2.5倍.     

The Challenge of Peat Substitution in Organic Seedling Production: Optimization of Growing Media Formulation through Mixture Design and Response Surface Analysis

Peat replacement is an increasing demand in containerized and transplant production, due to the environmental constraints associated to peat use. However, despite the wide information concerning the use of alternative materials as substrates, it is very complex to establish the best materials and mixtures. This work evaluates the use of mixture design and surface response methodology in a peat substitution experiment using two alternative materials (green compost and palm fibre trunk waste) for transplant production of tomato (Lycopersicon esculentum Mill.); melon, (Cucumis melo L.); and lettuce (Lactuca sativa L.) in organic farming conditions. In general, the substrates showed suitable properties for their use in seedling production, showing the best plant response the mixture of 20% green compost, 39% palm fibre and 31% peat. The mixture design and applied response surface methodology has shown to be an useful approach to optimize substrate formulations in peat substitution experiments to standardize plant responses.     

效应面法优化CHO细胞培养基中几种主要成分的含量

目的:考察培养基中葡萄糖、谷氨酰胺、血清、碳酸氢钠含量对CHO细胞生长繁殖的影响。方法:在CHO细胞培养基中添加不同成分的葡萄糖、谷氨酰胺、血清、碳酸氢钠,通过单因素实验结果结合Box-Behnken效应面法,根据二次回归模型的分析结果,以细胞表达蛋白体外活性为指标进行实验,考察培养基中葡萄糖、谷氨酰胺、血清、碳酸氢钠含量对细胞生长繁殖的影响。结果:根据回归方程分析结果,作出相应的曲面图和等高线图,优选出培养基中各组分的最佳配比为:葡萄糖2.54 g/L、谷氨酰胺0.59 g/L、血清8.3%,碳酸氢钠2.96 g/L。结论:Box-Behnken实验设计法用于细胞培养过程中考察培养基中各组分的优选是可行的,数学模型的预测值与实验观察值相符。通过对CHO细胞培养基成分的优化,使CHO细胞蛋白表达量高,有利于提高产品质量和降低生产成本。     

响应面试验设计优化脱氢酶发酵培养基

目的:对简单节杆菌,TCCC11037发酵生产脱氢酶的培养基进行优化.方法:利用单因子试验筛选出最适碳源为葡萄糖,氮源为酵母膏.采用Plackett-Burman(P-B)方法筛选出对产酶有重要影响的因素,并采用响应面试验设计(RSM)对重要因素进行优化.结果:葡萄糖、酵母膏、KH2PO4的浓度是影响脱氢酶产生的重要因素.优化后的培养基组成为(%):葡萄糖1.21,酵母膏0.65,KH2PO4 0.24,玉米浆0.8;培养基初始pH值7.0,接种量5%,通气条件为装液量100mL/500mL.结论:优化后脱氢酶活力达到24.57μmol/(g·min),得到了明显的提高.     

效应面法优化CHO细胞培养基中几种丰要成分的含量

目的：考察培养基中葡萄糖、谷氨酰胺、血清、碳酸氢钠含量对CHO细胞生长繁殖的影响。方法：在CHO细胞培养基中添加不同成分的葡萄糖、谷氨酰胺、血清、碳酸氢钠,通过单因素实验结果结合Box-Behnken效应面法,根据二次回归模型的分析结果,以细胞表达蛋白体外活性为指标进行实验,考察培养基中葡萄糖、谷氨酰胺、血清、碳酸氢钠含量对细胞生长繁殖的影响。结果：根据回归方程分析结果,作出相应的曲面图和等高线图,优选出培养基中各组分的最佳配比为：葡萄糖2．54g／L、谷氨酰胺O．59g／L、血清8．3％,碳酸氢钠2．96g／L。结论：Box—Behnken实验设计法用于细胞培养过程中考察培养基中各组分的优选是可行的,数学模型的预测值与实验观察值相符。通过对CHO细胞培养基成分的优化,使CHO细胞蛋白表达量高,有利于提高产品质量和降低生产成本。     

A glycerol-free process to produce biodiesel by supercritical methyl acetate technology: An optimization study via Response Surface Methodology

In this study, fatty acid methyl esters (FAME) have been successfully produced from transesterification reaction between triglycerides and methyl acetate, instead of alcohol. In this non-catalytic supercritical methyl acetate (SCMA) technology, triacetin which is a valuable biodiesel additive is produced as side product rather than glycerol, which has lower commercial value. Besides, the properties of the biodiesel (FAME and triacetin) were found to be superior compared to those produced from conventional catalytic reactions (FAME only). In this study, the effects of various important parameters on the yield of biodiesel were optimized by utilizing Response Surface Methodology (RSM) analysis. The mathematical model developed was found to be adequate and statistically accurate to predict the optimum yield of biodiesel. The optimum conditions were found to be 399 °C for reaction temperature, 30 mol/mol of methyl acetate to oil molar ratio and reaction time of 59 min to achieve 97.6% biodiesel yield.     

响应面法优化米糠淀粉酶法水解工艺

以米糠为原料,对米糠淀粉酶法水解生产葡萄糖的液化工艺进行研究和优化,来提高葡萄糖收率。在单因素试验的基础上,用响应面法对液化工艺进行优化。结果表明,液化工艺的最佳条件为酶用量0.11%、醪浓度25%、pH=6.0、温度88℃,在此条件下得到的液化葡萄糖值(即DX值)平均值为6.54%。然后对此液化液进行糖化,最终得到的糖化液DX值为97.07%。     

Application of Response Surface Methodology to Optimise the Antioxidant Activity of a Saithe (Pollachius virens) Hydrolysate

The objective of this study was to produce, by an enzymatic hydrolysis process at a pilot scale, a saithe (Pollachius virens) hydrolysate with a high antioxidant activity. Design of experiment methodology, based on laboratory-scale experiments, was used to obtain a behavioral reduced model that allows one to determine the optimal operating conditions maximizing the antioxidant activity. Two specifications were studied: the degree of hydrolysis and the antioxidant activity. The effects of the following hydrolysis parameters (temperature, pH, enzyme concentration, and operating time) were studied and presented as response surfaces. From these results, a multifactorial optimization was performed and the Pareto optimal set of efficient solutions was evaluated. The optimal conditions were tested at laboratory scale and then validated by comparison with tests carried out on a pilot plant.     

响应面法优化短短芽胞杆菌ch2-22的发酵工艺

在摇瓶发酵条件下,优化提高短短芽胞杆菌ch2-22芽胞浓度和抑菌活性的发酵培养基和培养条件。首先在单因素试验基础上进行响应面设计对ch2-22的发酵培养基进行优化,然后使用单因素试验方法确定最佳发酵条件,得到优化发酵培养基为淀粉35.05 g/L,豆饼粉26.08 g/L,蔗糖10 g/L,鱼粉5 g/L,Na Cl 1 g/L,Mg SO40.3 g/L,(NH4)2SO43 g/L,Mn SO40.1 g/L,K2HPO43 g/L,酵母膏1 g/L,Ca CO32 g/L。培养条件为温度32℃,转速180 r/min,装液量100 m L/500 m L,接种量4%,初始pH为7.0,发酵时间45 h。优化后的芽胞数量达到8.1×109cfu/m L,与优化前的芽胞数量(1.6×109cfu/m L)相比,提高了3.7倍,优化后发酵液效价达到3 350 IU/m L,提高了109%,高于同类菌株的2 000 IU/m L。