Uniform Design: Theory and Application

Fang, Kai; Lin, Dennis K.J.; Winker, Peter; Zhang, Yong

doi:10.1080/00401706.2000.10486045

Cited by 731 publications

(224 citation statements)

References 22 publications

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“…A uniform design seeks design points that are representative and uniformly scattered on the domain [27]. Therefore, we could achieve the same goal as other statistical design methods, such as orthogonal design, with fewer experimental groups [19,24].…”

Section: Resultsmentioning

confidence: 99%

Combination of uniform design with artificial neural network coupling genetic algorithm: an effective way to obtain high yield of biomass and algicidal compound of a novel HABs control actinomycete

et al. 2014

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Controlling harmful algae blooms (HABs) using microbial algicides is cheap, efficient and environmental-friendly. However, obtaining high yield of algicidal microbes to meet the need of field test is still a big challenge since qualitative and quantitative analysis of algicidal compounds is difficult. In this study, we developed a protocol to increase the yield of both biomass and algicidal compound present in a novel algicidal actinomycete Streptomyces alboflavus RPS, which kills Phaeocystis globosa. To overcome the problem in algicidal compound quantification, we chose algicidal ratio as the index and used artificial neural network to fit the data, which was appropriate for this nonlinear situation. In this protocol, we firstly determined five main influencing factors through single factor experiments and generated the multifactorial experimental groups with a U15(155) uniform-design-table. Then, we used the traditional quadratic polynomial stepwise regression model and an accurate, fully optimized BP-neural network to simulate the fermentation. Optimized with genetic algorithm and verified using experiments, we successfully increased the algicidal ratio of the fermentation broth by 16.90% and the dry mycelial weight by 69.27%. These results suggested that this newly developed approach is a viable and easy way to optimize the fermentation conditions for algicidal microorganisms.

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Section: Resultsmentioning

confidence: 99%

Combination of uniform design with artificial neural network coupling genetic algorithm: an effective way to obtain high yield of biomass and algicidal compound of a novel HABs control actinomycete

et al. 2014

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“…These experiments can identify primary and secondary factors, but cannot be used to find the optimal concentrations of drugs in combination when there are many dosage levels. An improved uniform design method212223242526 is available for multiple drugs combination analysis to determine optimal concentrations of drugs, especially the constituents of Chinese complex prescriptions27. This study represents the first attempt at applying the orthogonal design in order to identify primary and secondary interaction of compounds isolated from I. stolonifera .…”

Section: Discussionmentioning

confidence: 99%

Synergistic Effect of Compounds from a Chinese Herb: Compatibility and Dose Optimization of Compounds from N-Butanol Extract of Ipomoea stolonifera

Cai

Chen

Zhong

et al. 2016

Sci Rep

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The herbal medicine Ipomoea stolonifera (I. stolonifera) has previously been shown to have considerable anti-inflammatory potential in vivo and in vitro. To establish a method for exploring the synergistic effects of multiple compounds, we study the compatibility and dose optimization of compounds isolated from n-butanol extract of I. stolonifera (BE-IS). Raw264.7 cell was treated with lipopolysaccharide (LPS) in the presence of compounds from BE-IS, namely scopoletin, umbelliferone, esculetin, hesperetin and curcumin, using the orthogonal design, uniform design and median-effect method. To verify the best efficacy of principal constituents in vivo, the uniform design was used in the croton oil-induced mouse ear edema model. The results from LPS-induced the production of prostaglandin E2 (PGE2) show that, esculetin, curcumin and hesperetin were the principal constituents that had synergistic effects when used at the optimal ratio. Additionally, the principal constituents were found to work synergistically in the croton oil-induced mouse ear edema model at low doses. It turned out that the three experimental optimization and analysis methods (orthogonal design, uniform design and median-effect method) can be effectively used to solve both compatibility and dose optimization for combined use of multiple compounds.

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“…The levels for the content of each metal element is set to 0.01, 0.05, 0.1, 0.2, 0.4, 0.8, 1, 2, 5, 8, 10, 12, 16, 18 and 20 (ppm). A uniform design (Fang and Wang [8]; and Fang, Lin, Winker and Zhang [9]) is used to construct a design with 17 experiments. For each run, three experiments were conducted.…”

Section: Examplesmentioning

confidence: 99%

Variable Selection for Screening Experiments

Li¹,

Lin²

2009

Quality Technology & Quantitative Management

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The first step in many applications of response surface methodology is typically the screening process. Variable selection plays an important role in screening experiments when a large number of potential factors are introduced in a preliminary study. Traditional approaches, such as the best subset variable selection and stepwise deletion, may not be appropriate in this situation. In this paper we introduce a variable selection procedure via penalized least squares with the SCAD penalty. An algorithm to find the penalized least squares solution is suggested, and a standard error formula for the penalized least squares estimate is derived. With a proper choice of the regularization parameter, it is shown that the resulting estimate is root n consistent and possesses an oracle property; namely, it works as well as if the correct submodel were known. An automatic and data-driven approach was proposed to select the regularization parameter. Examples are used to illustrate the effectiveness of the newly proposed approach. The computer codes (written in MATLAB) to perform all calculation are available through the authors for an automatic data-driven variable selection procedure.

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Uniform Design: Theory and Application

Cited by 731 publications

References 22 publications

Combination of uniform design with artificial neural network coupling genetic algorithm: an effective way to obtain high yield of biomass and algicidal compound of a novel HABs control actinomycete

Combination of uniform design with artificial neural network coupling genetic algorithm: an effective way to obtain high yield of biomass and algicidal compound of a novel HABs control actinomycete

Synergistic Effect of Compounds from a Chinese Herb: Compatibility and Dose Optimization of Compounds from N-Butanol Extract of Ipomoea stolonifera

Variable Selection for Screening Experiments

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