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Application of algal-mycelial pellets in the treatment of the mariculture wastewater
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作者 Shanshan Chen Sujie Li +5 位作者 Xunan Yang Yaobin Lu Lijuan Luo Jie Xu Kin-Chuang Ho Tiangang Luan 《Journal of Environmental Sciences》 2025年第8期128-137,共10页
Hypersaline mariculture wastewater necessitates treatment prior to its discharge into marine environments.Algal-mycelial pellets(AMPs),known for their cost-effectiveness,energy efficiency and sustainability,have not b... Hypersaline mariculture wastewater necessitates treatment prior to its discharge into marine environments.Algal-mycelial pellets(AMPs),known for their cost-effectiveness,energy efficiency and sustainability,have not been previously explored for their flocculation and pollutant removal capabilities in hyperhaline conditions.This work employed an orthogonal test design to investigate the effects of nine factors at three levels on the treatment efficiency of mariculture wastewater using Chlorella sp.TNBR1 and Aspergillus niger AMPs.The comprehensive optimal conditions for achieving the highest flocculation efficiency and pollutant removal are determined to be a temperature of 30℃,light intensity of 6000 lux,a 12:0 light-dark cycle,an initial pH of 6,amicroalgal density of 11.25×10^(6)cell/mL,microalgal growth phase at the early logarithmic stage,a fungal spore density of 9.00×10^(5)spore/mL and a fungal pellet phase of 60 h.Under such conditions,the treatment of nonsterile actual mariculture wastewater with Chlorella sp.TNBR1 and Aspergillus niger AMPs results in a 93.35%±7.20%reduction in chemical oxygen demand(COD),92.83%±7.29%reduction in total nitrogen(TN),100%removal of total phosphorus(TP),and a flocculation efficiency of 69.21%±5.36%.These findings confirm that AMPs are a viable solution for effectively treating COD,TN and TP in real hypersaline mariculture wastewater,while also facilitating the flocculation and harvesting of microalgae. 展开更多
关键词 Algal-mycelial pellet Mariculture wastewater Optimal condition Pollutant removal Flocculation efficiency
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An Optimal Control Problem to a Generalized Diffusion SEIR Model with Two Strains
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作者 Jinfeng MAO Min ZHOU 《Journal of Mathematical Research with Applications》 2025年第5期689-710,共22页
This paper aims to study the optimal control and algorithm implementation of a generalized epidemic model governed by reaction-diffusion equations.Considering individual mobility,this paper first proposes a reaction-d... This paper aims to study the optimal control and algorithm implementation of a generalized epidemic model governed by reaction-diffusion equations.Considering individual mobility,this paper first proposes a reaction-diffusion epidemic model with two strains.Furthermore,applying vaccines as a control strategy in the model,an optimal control problem is proposed to increase the number of healthy individuals while reducing control costs.By applying the truncation function technique and the operator semigroup methods,we prove the existence and uniqueness of a globally positive strong solution for the control model.The existence of the optimal control strategy is proven by using functional analysis theory and minimum sequence methods.The first-order necessary condition satisfied by the optimal control is established by employing the dual techniques.Finally,a specific example and its algorithm are provided. 展开更多
关键词 Epidemic model optimal control the first order necessary optimality condition reaction-diffusion equations
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Data-driven framework based on machine learning and optimization algorithms to predict oxide-zeolite-based composite and reaction conditions for syngas-to-olefin conversion
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作者 Mansurbek Urol ugli Abdullaev Woosong Jeon +5 位作者 Yun Kang Juhwan Noh Jung Ho Shin Hee-Joon Chun Hyun Woo Kim Yong Tae Kim 《Chinese Journal of Catalysis》 2025年第7期211-227,共17页
Bifunctional oxide-zeolite-based composites(OXZEO)have emerged as promising materials for the direct conversion of syngas to olefins.However,experimental screening and optimization of reaction parameters remain resour... Bifunctional oxide-zeolite-based composites(OXZEO)have emerged as promising materials for the direct conversion of syngas to olefins.However,experimental screening and optimization of reaction parameters remain resource-intensive.To address this challenge,we implemented a three-stage framework integrating machine learning,Bayesian optimization,and experimental validation,utilizing a carefully curated dataset from the literature.Our ensemble-tree model(R^(2)>0.87)identified Zn-Zr and Cu-Mg binary mixed oxides as the most effective OXZEO systems,with their light olefin space-time yields confirmed by physically mixing with HSAPO-34 through experimental validation.Density functional theory calculations further elucidated the activity trends between Zn-Zr and Cu-Mg mixed oxides.Among 16 catalyst and reaction condition descriptors,the oxide/zeolite ratio,reaction temperature,and pressure emerged as the most significant factors.This interpretable,data-driven framework offers a versatile approach that can be applied to other catalytic processes,providing a powerful tool for experiment design and optimization in catalysis. 展开更多
关键词 Syngas-to-olefin Oxide-zeolite-based composite Machine learning Bayesian optimization Catalyst and reaction engineering discovery Reaction condition optimization Density functional theory
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Idealized Experiments for Optimizing Model Parameters Using a 4D-Variational Method in an Intermediate Coupled Model of ENSO 被引量:5
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作者 Chuan GAO Rong-Hua ZHANG +1 位作者 Xinrong WU Jichang SUN 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2018年第4期410-422,共13页
Large biases exist in real-time ENSO prediction, which can be attributed to uncertainties in initial conditions and model parameters. Previously, a 4D variational (4D-Vat) data assimilation system was developed for ... Large biases exist in real-time ENSO prediction, which can be attributed to uncertainties in initial conditions and model parameters. Previously, a 4D variational (4D-Vat) data assimilation system was developed for an intermediate coupled model (ICM) and used to improve ENSO modeling through optimized initial conditions. In this paper, this system is further applied to optimize model parameters. In the ICM used, one important process for ENSO is related to the anomalous temperature of subsurface water entrained into the mixed layer (Te), which is empirically and explicitly related to sea level (SL) variation. The strength of the thermocline effect on SST (referred to simply as "the thermocline effect") is represented by an introduced parameter, (l'Te. A numerical procedure is developed to optimize this model parameter through the 4D-Var assimilation of SST data in a twin experiment context with an idealized setting. Experiments having their initial condition optimized only, and having their initial condition plus this additional model parameter optimized, are compared. It is shown that ENSO evolution can be more effectively recovered by including the additional optimization of this parameter in ENSO modeling. The demonstrated feasibility of optimizing model parameters and initial conditions together through the 4D-Var method provides a modeling platform for ENSO studies. Further applications of the 4D-Vat data assimilation system implemented in the ICM are also discussed. 展开更多
关键词 intermediate coupled model ENSO modeling 4D-Var data assimilation system optimization of model param- eter and initial condition
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Optimality Conditions for Double-sparsity Constrained Optimization
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作者 WANG Dongrui XIU Naihua ZHOU Shenglong 《数学进展》 CSCD 北大核心 2024年第6期1145-1157,共13页
Sparse optimization has witnessed advancements in recent decades,and the step function finds extensive applications across various machine learning and signal processing domains.This paper integrates zero norm and the... Sparse optimization has witnessed advancements in recent decades,and the step function finds extensive applications across various machine learning and signal processing domains.This paper integrates zero norm and the step function to formulate a doublesparsity constrained optimization problem,wherein a linear equality constraint is also taken into consideration.By defining aτ-Lagrangian stationary point and a KKT point,we establish the first-order and second-order necessary and sufficient optimality conditions for the problem.Furthermore,we thoroughly elucidate their relationships to local and global optimal solutions.Finally,special cases and examples are presented to illustrate the obtained theorems. 展开更多
关键词 double-sparsity constrained optimization Lagrangian stationary point KKT point optimality condition
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Study on Biogas Production Using Anaerobic Fermentation of Rice Straw 被引量:11
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作者 刘秀娟 李晖 +2 位作者 薛金红 牛潇 韦萍 《Agricultural Science & Technology》 CAS 2011年第12期1761-1764,共4页
[Objective] The aim was to improve the biogas production rate,and improve the use ratio of rice straws to the furthest.[Method] Single-factor method was adopted to analyze the influence of inoculated amount,total soli... [Objective] The aim was to improve the biogas production rate,and improve the use ratio of rice straws to the furthest.[Method] Single-factor method was adopted to analyze the influence of inoculated amount,total solid content and carbon-nitrogen ratio on biogas production in biogas station of Nanjing University of Technology.[Result] It was found that the most optimum condition was:inoculated amount of 34%,total solid content of 6%,and carbon-nitrogen ratio of 25:1.According to the experimental verification,the total biogas yield in experimental group increased by 27.6% over the control group.[Conclusion] The research provided the reference of the further industrialization production of biogas using straw. 展开更多
关键词 Rice straw BIOGAS Condition optimization Biogas yield
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Screening of One Microbial Flocculant for Treatment of Methyl Orange Wastewater and its Decolorization Effect 被引量:6
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作者 张蔚萍 严平 +2 位作者 孙德四 王晓倩 侯梦然 《Agricultural Science & Technology》 CAS 2011年第12期1929-1931,共3页
[Objective] To screen out a microbial flocculant with good decolorization effect on methyl orange wastewater,and study the effect of different cultural conditions on decolorization effect of methyl orange.[Method] Abs... [Objective] To screen out a microbial flocculant with good decolorization effect on methyl orange wastewater,and study the effect of different cultural conditions on decolorization effect of methyl orange.[Method] Absorbance of methyl orange solution before and after decolorization was determined by spectrophotometer,and the decolorization rate was calculated to compare the effects of different cultural conditions on removal rate of methyl orange.[Result]An optimal actinomycete stain(F-1-2) was screened out,and the best cultural condition was as follows:with sucrose as carbon source and NaNO3 as nitrogen source,cultured in constant temperature oscillator at 150 r/min,30℃ for 72 h.Under the optimal condition,the removal rate against methyl orange could reach 68.4%.[Conclusion]Different culture conditions have great impact on decolorization effect of strain. 展开更多
关键词 Microbial flocculant Optimal condition DECOLORIZATION
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Optimum conditions to treat high-concentration microparticle slime water with bioflocculants 被引量:25
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作者 LIANG Zhi HAN Baoping LIU Hong 《Mining Science and Technology》 EI CAS 2010年第3期478-484,共7页
We studied how bioflocculants,produced by white-rot fungi,affect flocculation in slime water.Based on a test in an orthogonal design,flocculation conditions were optimized.The results show that flocculation activity i... We studied how bioflocculants,produced by white-rot fungi,affect flocculation in slime water.Based on a test in an orthogonal design,flocculation conditions were optimized.The results show that flocculation activity is at its highest when the following conditions are met:slime water concentration 27.42 g/L;coagulant aid(CaCl_2) mass concentration 5.0 g/L;two-segment stirrings:the first at a stirring speed of 60 r/min for 180 s and the second 180 r/min for 60 s;a pH of 11 and a flocculant concentration of 15 mL/L.The flocculation activity can be up to 98.71%of bioflocculants at the time.Further experiments indicate that most of the flocculation active material is found outside the mycelium cells.This is the extracellular secretion produced by mycelium cells during the fermentation process.This flocculant has strong thermal stability.Many kinds of cations have a flocculation function to assist bioflocculants.This aid-flocculation effect of the divalent cation Ca^(2+) is obvious in the bioflocculant produced by the white-rot fungus.Therefore,this is of great value when applied to control engineering in the battle against water pollution. 展开更多
关键词 white-rot fungus BIOFLOCCULANT flocculation condition optimization slime water orthogonal design
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Optimal reaction conditions for pyridine synthesis in riser reactor 被引量:3
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作者 Shuaishuai Zhou Zelong Liu +4 位作者 Xiao Yan Qin Di Mengxi Liu Chunxi Lu Guangzhou Jin 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第7期1499-1507,共9页
Pjridine has been generally synthesized by aldehydes and ammonia in a turbulent fluidized-bed reactor. In this paper, a novel riser reactor was proposed for pyridine synthesis. Experiment result showed that the yield ... Pjridine has been generally synthesized by aldehydes and ammonia in a turbulent fluidized-bed reactor. In this paper, a novel riser reactor was proposed for pyridine synthesis. Experiment result showed that the yield of pyridine and 3-picoline decreased, but the selectivity of pyridine over 3-picoline increased compared to turbulent fluidized-bed reactor. Based on experimental data, a modified kinetic model was used for the determination of optimal operating condition for riser reactor. The optimal operating condition of riser reactor given by this modified model was as follows: The reaction temperature of 755 K, catalyst to feedstock ratio (CTFR) of 87, residence timeof3.8sandinitialacetaldehydesconcentrationof0.0029mol.L-1 (acetaldehydes to formaldehydes ratio by mole (ATFR) of 0.65 and ammonia to aldehydes ratio by mole (ATAR) of 0.9, water contention of 63wt% (formaldehyde solution)). 展开更多
关键词 Pyridine synthesis Riser reactor Optimal operating condition
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Optimization of elastolysis conditions and elastolytic kinetic analysis with elastase from Bacillus licheniformis ZJUEL31410 被引量:2
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作者 CHEN Qi-he HE Guo-qing 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE CAS CSCD 2006年第6期482-490,共9页
The solubilization of elastin by Bacillus licheniformis elastase cannot be analyzed by conventional kinetic methods because the biologically relevant substrate is insoluble and the concentration of enzyme-substrate co... The solubilization of elastin by Bacillus licheniformis elastase cannot be analyzed by conventional kinetic methods because the biologically relevant substrate is insoluble and the concentration of enzyme-substrate complex has no physical meaning. In this paper we report the optimization of elastolysis conditions and analysis of elastolytic kinetics. Our results indicated that the hydrolyzing temperature and time are very important factors affecting elastolysis rate. The optimized conditions using central composite design were as follows: elastolysis temperature 50 ℃, elastase concentration 1 × 10^4 U/ml, elastin 80 mg, elastolytic time 4 h. Investigation of the effects of substrate content, elastase concentration and pH was also revealed that low or high elastin content inhibits the elastolysis process. Increasingelastase improves elastin degradation, but high elastase may change the kinetics characterization. Alkaline environment can decrease elastin degradation rate and pH may affect elastolysis by changing elastase reaction pH. To further elucidate the elastolysis process, the logistic model was used to elastolysis kinetics study showing clearly that the logistic model can reasonably explain the elastolysis process, especially under lower elastase concentration. However, there is still need for more investigations with the aid of other methods, such as biochemical and molecular methods. 展开更多
关键词 Bacillus licheniformis ELASTASE Elastolysis condition optimization Elastolytic kinetics
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THE OPTIMALITY CONDITIONS OF NONCONVEXSET-VALUED VECTOR OPTIMIZATION 被引量:2
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作者 盛保怀 刘三阳 《Acta Mathematica Scientia》 SCIE CSCD 2002年第1期47-55,共9页
The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz Joh... The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John optimality condition of set-valued vector optimization is established. Finally, under the assumption of pseudoconvexity, the optimality condition is proved to be sufficient. 展开更多
关键词 set-valued derivative optimality condition pseudoconvex set-valued mapping
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Differentiability of Interval Valued Function and Its Application in Interval Valued Programming 被引量:2
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作者 Yu-e BAO Na LI Linfen ZHANG 《Journal of Mathematical Research with Applications》 CSCD 2020年第4期415-431,共17页
In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is establishe... In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is established and some basic properties are given.By discussing the optimality condition of unconstrained interval programming,the necessary conditions for obtaining the optimal solution of a class of constrained interval valued programming with real valued function constraints are given.Meanwhile,the sufficient conditions for obtaining the optimal solution are given for the convex interval value programming problem with real value function constraints. 展开更多
关键词 interval-valued function D-differentiability interval-valued programming KKT optimal condition
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An optimal scheduling algorithm based on task duplication 被引量:2
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作者 RuanYoulin LiuCan ZhuGuangxi LuXiaofeng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第2期445-450,共6页
When the communication time is relatively shorter than the computation time for every task, the task duplication based scheduling (TDS) algorithm proposed by Darbha and Agrawal generates an optimal schedule. Park and ... When the communication time is relatively shorter than the computation time for every task, the task duplication based scheduling (TDS) algorithm proposed by Darbha and Agrawal generates an optimal schedule. Park and Choe also proposed an extended TDS algorithm whose optimality condition is less restricted than that of TDS algorithm, but the condition is very complex and is difficult to satisfy when the number of tasks is large. An efficient algorithm is proposed whose optimality condition is less restricted and simpler than both of the algorithms, and the schedule length is also shorter than both of the algorithms. The time complexity of the proposed algorithm is O(v2), where v represents the number of tasks. 展开更多
关键词 optimal scheduling algorithm task duplication optimality condition.
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Preparation and Performance of Geopolymers 被引量:1
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作者 郭文瑛 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2008年第3期326-330,共5页
The influence of each factor on the reaction of geopolymers material was investigated by using the orthogonal experimental design method, which got the optimal condition of reaction. Based on this results the performa... The influence of each factor on the reaction of geopolymers material was investigated by using the orthogonal experimental design method, which got the optimal condition of reaction. Based on this results the performances of geopolymers were investigated. The results are as follows: (1) The effect of each factor on the compressive strength of geopolymers was different; (2) For paste the optimal condition of reaction is that the modulus and the concentration of sodium silicate solution are 1.2 and 40%, the calcined temperature and calcined time of kaolin are 800 ℃ and 2 h, and the liquid-solid ratio is 1.25; (3) When the pH value of solution is higher than l, the compressive strength of Geopolymers will not decrease as that in the water; (4) As the calcined temperature of samples were lower than 700 ℃ the heat-resistant of geopolymers was good;(5) Geopolymers is unlikely to react with the active aggregate. 展开更多
关键词 GEOPOLYMERS cross experimental design method optimal condition PERFORMANCE
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Optimality conditions and duality for a class of nondifferentiable multiobjective generalized fractional programming problems 被引量:1
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作者 GAO Ying RONG Wei-dong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第3期331-344,共14页
This paper studies a class of multiobjective generalized fractional programming problems, where the numerators of objective functions are the sum of differentiable function and convex function, while the denominators ... This paper studies a class of multiobjective generalized fractional programming problems, where the numerators of objective functions are the sum of differentiable function and convex function, while the denominators are the difference of differentiable function and convex function. Under the assumption of Calmness Constraint Qualification the Kuhn-Tucker type necessary conditions for efficient solution are given, and the Kuhn-Tucker type sufficient conditions for efficient solution are presented under the assumptions of (F, α, ρ, d)-V-convexity. Subsequently, the optimality conditions for two kinds of duality models are formulated and duality theorems are proved. 展开更多
关键词 operations research multiobjective generalized fractional programming optimality condition duality theorem generalized convexity
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Exact Penalty Method for the Nonlinear Bilevel Programming Problem 被引量:1
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作者 PAN Qingfei AN Zhonghua QI Hui 《Wuhan University Journal of Natural Sciences》 CAS 2010年第6期471-475,共5页
In this paper,following the method of replacing the lower level problem with its Kuhn-Tucker optimality condition,we transform the nonlinear bilevel programming problem into a normal nonlinear programming problem with... In this paper,following the method of replacing the lower level problem with its Kuhn-Tucker optimality condition,we transform the nonlinear bilevel programming problem into a normal nonlinear programming problem with the complementary slackness constraint condition.Then,we get the penalized problem of the normal nonlinear programming problem by appending the complementary slackness condition to the upper level objective with a penalty.We prove that this penalty function is exact and the penalized problem and the nonlinear bilevel programming problem have the same global optimal solution set.Finally,we propose an algorithm for the nonlinear bilevel programming problem.The numerical results show that the algorithm is feasible and efficient. 展开更多
关键词 convex-quadratic programming nonlinear bilevel programming Kuhn-Tucker optimality condition penalty function method optimal solution
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Global optimality conditions for quadratic 0-1 programming with inequality constraints 被引量:1
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作者 张连生 陈伟 姚奕荣 《Journal of Shanghai University(English Edition)》 CAS 2010年第2期150-154,共5页
Quadratic 0-1 problems with linear inequality constraints are briefly considered in this paper.Global optimality conditions for these problems,including a necessary condition and some sufficient conditions,are present... Quadratic 0-1 problems with linear inequality constraints are briefly considered in this paper.Global optimality conditions for these problems,including a necessary condition and some sufficient conditions,are presented.The necessary condition is expressed without dual variables.The relations between the global optimal solutions of nonconvex quadratic 0-1 problems and the associated relaxed convex problems are also studied. 展开更多
关键词 quadratic 0-1 programming optimality condition nonconvex optimization integer programming convex duality
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Sulfide elimination by intermittent nitrate dosing in sewer sediments 被引量:3
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作者 Yanchen Liu Chen Wu +2 位作者 Xiaohong Zhou David Z.Zhu Hanchang Shi 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2015年第1期259-265,共7页
The formation of hydrogen sulfide in biofilms and sediments in sewer systems can cause severe pipe corrosions and health hazards, and requires expensive programs for its prevention. The aim of this study is to propose... The formation of hydrogen sulfide in biofilms and sediments in sewer systems can cause severe pipe corrosions and health hazards, and requires expensive programs for its prevention. The aim of this study is to propose a new control strategy and the optimal condition for sulfide elimination by intermittent nitrate dosing in sewer sediments. The study was carried out based on lab-scale experiments and batch tests using real sewer sediments. The intermittent nitrate dosing mode and the optimal control condition were investigated. The results indicated that the sulfide-intermittent-elimination strategy by nitrate dosing is advantageous for controlling sulfide accumulation in sewer sediment. The oxidation–reduction potential is a sensitive indicator parameter that can reflect the control effect and the minimum N/S(nitrate/sulfide)ratio with slight excess nitrate is necessary for optimal conditions of efficient sulfide control with lower carbon source loss. The optimal control condition is feasible for the sulfide elimination in sewer systems. 展开更多
关键词 Sewer system Sulfide elimination Sediment Optimal condition Intermittent nitrate dosing
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Initiation of primary cell culture from amphioxus Branchiostoma belcheri tsingtauense 被引量:1
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作者 王昌留 张士璀 +2 位作者 宿烽 王磊 李红岩 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2009年第1期69-73,共5页
Amphioxus, a cephalochordate, is an important model fish for studies in evolution and comparative biology. A successful cell culture from amphioxus tissues in vitro would help understanding some basic issues. To deter... Amphioxus, a cephalochordate, is an important model fish for studies in evolution and comparative biology. A successful cell culture from amphioxus tissues in vitro would help understanding some basic issues. To determine the optimal culture conditions for proliferation of amphioxus cells, primary cultures were initiated from buccal cirri, tail, gill, gut and metapleural fold of amphioxus Branchiostoma belcheri tsingtauense. The media tested were L-15, F-12, M 199, MEM, DMEM, PRMI 1640 and LDF, each was supplemented with 20% fetal bovine serum. The optimal conditions include tail tissue cultured in L-15 or F-12 with supplement of 20% FBS and 1.5% NaCl at about 25℃. 展开更多
关键词 CEPHALOCHORDATE in vitro culture tail epithelial cell optimal culture condition
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Energy-Efficient Transceiver Design for Multi-Pair Two-Way Relay Systems 被引量:3
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作者 Fei Zesong Li Na +1 位作者 Xing Chengwen Gong Shiqi 《China Communications》 SCIE CSCD 2015年第9期133-140,共8页
In this paper, we focus on energy-efficient transceiver and relay beamforming design for multi-pair two-way relay system. The multi-antenna users and the multi-antenna relay are considered in this work. Different from... In this paper, we focus on energy-efficient transceiver and relay beamforming design for multi-pair two-way relay system. The multi-antenna users and the multi-antenna relay are considered in this work. Different from the existing works, the proposed algorithm is energy-efficient which is more applicable to the future green network. It considers both the sum-MSE problem and the power consumption problem for the users under the relay power constraint. Based on the optimal condition decomposition(OCD) method, the energy-efficient precoders at the users can be designed separately with limited information exchanged. The proposed relay beamforming algorithm is based on the alternative direction method of multipliers(ADMM) which has simpler iterative solution and enjoys good convergence. Simulation results demonstrate the performance of the proposed algorithms in terms of power consumption and MSE performance. 展开更多
关键词 two-way relay energy efficient optimal condition decomposition alternative direction method of multipliers
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