I-Optimal Design of Mixture Experiments

Goos, Peter; Jones, Bradley; Syafitri, Utami Dyah

doi:10.1080/01621459.2015.1136632

Cited by 102 publications

(85 citation statements)

References 37 publications

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“…To investigate the impact of different hydrothermal treatments on phytate breakdown and to identify the conditions that maximize the phytate breakdown, we used a four-factor I-optimal response surface experimental design. I-optimal experimental designs ensure precise predictions and are, therefore, ideal for the purpose of process optimization (Goos, Jones, & Syafitri, 2016).…”

Section: Experimental Designmentioning

confidence: 99%

The impact of steeping, germination and hydrothermal processing of wheat (Triticum aestivum L.) grains on phytate hydrolysis and the distribution, speciation and bio-accessibility of iron and zinc elements

et al. 2018

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Chelation of iron and zinc in wheat as phytates lowers their bio-accessibility. Steeping and germination (15 °C, 120 h) lowered phytate content from 0.96% to only 0.81% of initial dry matter. A multifactorial experiment in which (steeped/germinated) wheat was subjected to different time (2-24 h), temperature (20-80 °C) and pH (2.0-8.0) conditions showed that hydrothermal processing of germinated (15 °C, 120 h) wheat at 50 °C and pH 3.8 for 24 h reduced phytate content by 95%. X-ray absorption near-edge structure imaging showed that it indeed abolished chelation of iron to phytate. It also proved that iron was oxidized during steeping, germination and hydrothermal processing. It was further shown that zinc and iron bio-accessibility were respectively 3 and 5% in wheat and 27 and 37% in hydrothermally processed wheat. Thus, hydrothermal processing of (germinated) wheat paves the way for increasing elemental bio-accessibility in whole grain-based products.

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Section: Experimental Designmentioning

confidence: 99%

The impact of steeping, germination and hydrothermal processing of wheat (Triticum aestivum L.) grains on phytate hydrolysis and the distribution, speciation and bio-accessibility of iron and zinc elements

et al. 2018

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“…In such case, the assigned weights are updated and new designs are generated and compared by a function applied to the information matrix X t X that characterizes the A-optimal or D-optimal criteria we assumed (Cuervo, Goos, & Sörensen, 2016). The entire space of the candidate points is assessed and the design that provides the best value for the determined criterion remains (Goos, Jones & Syafitri, 2016).…”

Section: Methodsmentioning

confidence: 99%

Simulation studies for design selection in a simplex space with edge effects on some mixture components

Ferreira

Cirillo

2019

Acta Sci. Technol.

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This work proposes an evaluation – through data simulations – of optimality criteria A and D in mixture designs built from a rotational design, considering a normal model and exploring the edge of zero in parts of simplex components, in addition to the analysis of the use of inverse terms in such components. As a function of the mathematical restrictions imposed on such designs, rotationality is obtained by following a specific algebraic procedure, thus preserving the constant prediction variance in all experimental points. When it comes to mixture problems, a response may show extreme alterations when a part of such components tends to the edge of zero and the models may not be suitable to deal with that. The adequate alternative to deal with such response alterations is to include inverse terms into the models. Given the assessed scenarios, the optimum designs were more robust and more promising than the rotational ones, when evaluating the precision of residual mean squares (RMS) in all such scenarios. When a part of the components tends to the edge of zero, RMS was more precise under the D-optimum designs with inverse terms in the components of the normal lineal model.

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“…The characteristics of a goal may be changed by adjusting the weight or importance. For several responses and factors, all goals fall into one desirable function [30]. Table 4 shows the information pertaining to the optimization process.…”

Section: Optimum Pretreatment Conditionmentioning

confidence: 99%

Process optimization and effect of thermal, alkaline, H2O2 oxidation and combination pretreatment of sewage sludge on solubilization and anaerobic digestion

et al. 2020

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Background: This study investigated the feasibility of enhancing anaerobic digestion of sewage sludge with triple, dual, and individual pretreatment of waste activated sludge with heat, alkalinity, and hydrogen peroxide. These pretreatments disrupt sludge flocs, organisms' cell walls, extracellular polymeric substance, and intracellular organic matter, which increase biodegradability and hydrolysis rate of activate sludge. In addition, the influence of various variables on methane production was analyzed using the response surface methodology with the quadratic model. Eventually, an optimized temperature and chemical concentration for the highest methane production and lowest chemical usage is suggested. Results: The highest amount of methane production was obtained from the sludge pretreated with triple pretreatment (heat (90°C), alkaline (pH = 12), and hydrogen peroxide (30 mg H 2 O 2 /g TS)), which had better performance with 96% higher methane production than that of the control sample with temperature of 25°C approximately and a pH = 8. Response surface methodology with a quadratic model was also used for analyzing the influence of temperature, pH, and hydrogen peroxide concentration on anaerobic digestion efficiency. It was revealed that the optimized temperature, pH, and hydrogen peroxide concentration for maximizing methane production and solubilization of sludge and minimizing thermal energy and chemical additives of the pretreatments are 83.2°C, pH = 10.6 and 34.8 mg H 2 O 2 /g TS, respectively, has the desirability of 0.67. Conclusion: This study reveals that triple pretreatment of waste activated sludge performed better than dual and individual pretreatment, respectively, in all desirable output parameters including increasing methane production as the most important output, increasing in COD solubilization, protein and polysaccharide, and decreasing in VSS solubilization.

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I-Optimal Design of Mixture Experiments

Cited by 102 publications

References 37 publications

The impact of steeping, germination and hydrothermal processing of wheat (Triticum aestivum L.) grains on phytate hydrolysis and the distribution, speciation and bio-accessibility of iron and zinc elements

The impact of steeping, germination and hydrothermal processing of wheat (Triticum aestivum L.) grains on phytate hydrolysis and the distribution, speciation and bio-accessibility of iron and zinc elements

Simulation studies for design selection in a simplex space with edge effects on some mixture components

Process optimization and effect of thermal, alkaline, H2O2 oxidation and combination pretreatment of sewage sludge on solubilization and anaerobic digestion

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