Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input

In this paper, we consider the global behaviors of Monod type chemostat model with nutrient recycling and impulsive input. By introducing a new study method, the sufficient and necessary conditions on the permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, the sufficient condition on the global attractivity of the system is established. Lastly, an example is given, the numerical simulation shows that if only the system is permanent, then it also is globally attractive.     

Complex dynamics of a chemostat with variable yield and periodically impulsive perturbation on the substrate

In this paper, we consider the dynamic behaviors of a mathematical chemostat model with variable yield and periodically impulsive perturbation on the substrate. The microbial growth rate is the Monod function and the variable yield coefficient δ(S) is quadratic (1 + cS ²). Using Floquet theory and small amplitude perturbation method, we establish the condition under which the boundary periodic solution is globally asymptotically stable. Moreover, the permanence of the system is discussed in detail. Finally, by means of numerical simulation, we demonstrate that with the increasing of the pulsed substrate in the feed the system exhibits the complex dynamics.      

Toxic action and antibiotic in the chemostat: permanence and extinction of a model with functional response

A system of periodic coefficients functional differential equations is used to model the single microorganism in the chemostat environment with a periodic nutrient and antibiotic input. Furthermore, the total toxic action on the microorganism expressed by an integral term is considered in our system. Based on the technique of analysis, we obtain sufficient conditions which guarantee the permanence of the system and extinction of the microorganism.      

Analysis of the dynamical behavior for enzyme-catalyzed reactions with impulsive input

Previous work has concentrated on the nature and validity of this reactions. In the paper, the dynamical behavior of Michaelis–Menten type kinetics for enzyme-catalyzed biochemical reactions is studied. Under the practical background, we investigate the effects of impulsive substrate-input.      

Bifurcation and chaos of Tessiet type food chain chemostat with periodically varying substrate

In this paper, we introduce and study a model of Tessiet type food chain chemostat with periodically varying substrate. We investigate the subsystem with substrate and prey and study the stability of the periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields an invasion threshold. By use of standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, prey and predator. Furthermore, we numerically simulate a model with sinusoidal dilution rate, by comparing bifurcation diagrams with different bifurcation parameters, we can see that the periodic system shows two kinds of bifurcations, whose are period-doubling and period-halving.     

Dynamical behaviors of the brusselator system with impulsive input

Responses of dynamic system to pulse perturbations were investigated theoretically and experimentally. The model used in this paper has been proved dissipative by impulsive and dynamic theory. Complex phenomena such as limit cycles, periodic solutions, and chaos were numerically demonstrated.     

Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment

In this paper, a chemostat model with delayed response in growth and pulse input in polluted environment is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat. Supported by National Natural Science Foundation of China (10771179). The Nomarch Fund of Guizhou Province, and the Science Technology Fund of Guizhou Province.     

基于养分指标相关性的土壤有机质预测模型研究

为探究土壤间各养分指标间的相互关系,选取了天津市宁河区不同区域的种植土壤,基于行业标准规定的检测方法,对主要养分指标进行了测定,并研究各指标间的相关性。结果表明,各区域土壤pH值变异系数最小,整体均呈碱性;有机质、全氮及速效钾变异系数属于中等;有效磷的变异系数最高。各研究区域土壤有机质含量与全氮含量呈显著正相关(P<0.01),与pH值呈显著负相关(P<0.01),而与其他指标间不具备普遍且显著的相关性。基于多元线性回归分析建立了土壤有机质与全氮及pH值之间的预测模型,通过模型计算出的预测值与实际测定值的拟合性较好;另取土壤样品进行验证表明,预测模型具有良好的可靠性和准确性。     

Modeling the effects of type and concentration of organic modifiers, column type and chemical structure of analytes on the retention in reversed phase liquid chromatography using a single model

A previously proposed model for representing the retention factor (k) of an analyte in mixed solvent mobile phases was extended to calculate the k of different analytes with respect to the nature of analyte, organic modifier, its concentration and type of the stationary phase. The accuracy of the proposed method was evaluated by calculating mean percentage deviation (MPD) as accuracy criterion. The predicted vs. observed plots were also provided as goodness of fit criteria. The developed model prediction capability compared with a number of previous models (i.e. LSER, general LSER and Oscik equation) through MPD and fitting plots. The proposed method provided acceptable predictions with the advantage of modeling the effects of organic modifiers, mobile phase compositions, columns and analytes using a single equation. The accuracy of developed model was checked using the one column and one analyte out cross validation analyses and the results showed that the developed model was able to predict the unknown analyte retention and the analytes retentions on unknown column accurately.     

Effect of WO3 particle size on the type and concentration of surface oxygen

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Anionic and cationic nanocomposite hydrogels reinforced with cellulose and chitin nanowhiskers: effect of electrolyte concentration on mechanical properties and swelling behaviors

Various nanocomposite gels were prepared using cellulose nanowhiskers (CNWs) or chitin nanowhiskers (ChNWs) as reinforcing fillers and hydroxypropyl cellulose (HPC), carboxymethyl cellulose (CMC), or chitosan as network polymers. The use of CNWs with low surface charge induced significant CNWs aggregations, which were well explained by depletion effect. Young's modulus E and swelling ratio Q of CNWs/HPC · CMC gels were highest at zero electrolyte concentration and decreased above 0.01 M electrolyte, whereas stress at break σ of the gels showed its minimum at zero electrolytes and increased with an addition of electrolytes. In the case of ChNWs/chitosan gels, maximum of E and Q was located at 0.01 M electrolyte concentration, and σ did not indicate clear tendency with electrolyte concentration. Although all gels indicated an increase in E and a decrease in Q with an increase in whisker content, the most remarkable changes were observed under an absence of electrolytes, whereas the changes under the presence of electrolytes were somewhat negligible. Copyright © 2014 John Wiley & Sons, Ltd.     

Studies on molecular complexes of n-donors with iodine by the constant activity method

Iodine complexes of imidazoles in chloroform were studied by using the constant activity method. The equilibrium constants and the extinction coefficients of the complexes were determined and the results are compared with those obtained by using conventional spectral method. It was found that the equilibrium constants increase as the donor strength increases, while the extinction coefficients decrease. This behavior was interpreted in terms of molecular structure of the donor molecule.     

A new thermodynamic model describes the effects of ligand density and type,salt concentration and protein species in hydrophobic interaction chromatography

A new thermodynamic model is derived that describes both loading and pulse-response behavior of proteins in hydrophobic interaction chromatography (HIC). The model describes adsorption in terms of protein and solvent activities, and water displacement from hydrophobic interfaces, and distinguishes contributions from ligand density, ligand type and protein species. Experimental isocratic response and loading data for a set of globular proteins on Sepharose™ resins of various ligand types and densities are described by the model with a limited number of parameters. The model is explicit in ligand density and may provide insight into the sensitivity of protein retention to ligand density in HIC as well as the limited reproducibility of HIC data.     

Effect of carbon black type and concentration on the performance of semiconductive shielding material of high-voltage cable

Semiconductive shielding layer as an important part of high-voltage cable, its performance directly affects the safe operation and the service life of the cable. Carbon black (CB) is the main conductive filler of shielding materials, and its type and concentration directly affect the performance of the shielding layer. In this paper, CB-A with higher structure and CB-B with lower structure were used as conductive fillers and EBA was chosen as the matrix resin to prepare the shielding materials. The CB concentrations of the shielding materials were 35, 45, and 55 phr. The influences of CB type and concentration on the physicochemical, electrical, thermal and mechanical properties of the shielding materials were investigated. The research shows that when the CB types are the same, the higher the concentration of CB, the more intensive the CB network in the shielding material, and the more serious the CB agglomeration phenomenon. With increasing CB concentration, shielding materials show a decreasing trend of volume resistivity, an increasing trend of thermal conductivity, and a decreasing trend of mechanical properties. When the CB concentration is the equal, the CB-A has better dispersion in the matrix resin, CB-A/EBA shielding material has lower volume resistivity and weaker PTC effect, CB-A/EBA shielding material has higher thermal conductivity at low temperature and CB-B/EBA shielding material has higher thermal conductivity at high temperature, CB-A/EBA shielding material has better mechanical properties. A comprehensive comparison shows that CB-A/EBA shielding material with a concentration of 45 phr has excellent overall performance, with volume resistivity of 15.3 and 68 Ω·cm at 25°C and 90°C, respectively. The thermal conductivity is 0.434 W/(m K) at room temperature and 0.536 W/(m K) at 90°C. The stress is 31.08 MPa and the strain is 570.2%. This work has important reference for the selection of conductive fillers and performance improvement of semiconductive shielding materials.     

Effect of electrolyte type on the electrokinetic behavior of sulfonated polystyrene model colloids

Sulfonated polystyrene latex particles were prepared by a two-stage shot-growth emulsion polymerization process in the absence of emulsifier. Sodium styrene sulfonate (NaSS) was used as an ionic co-monomer to produce a series of latex particles with the same particle size but with different surface charge densities. The electrophoretic mobility of this functionalized model colloid was studied in the presence of various types of inorganic electrolytes. The _e curves of these latexes exhibit a pronounced maximum at high electrolyte concentrations: 5·10^–2 M for 11 electrolytes and 10^–2 M for 21 and 12 electrolytes. When a 31 electrolyte (LaCl₃) was used, the electrophoretic mobility changed to positive values at high concentration due to the specific adsorption of lanthanum species. The experimental results for the electrokinetic characterization of these sulfonated polystyrene model colloids suggest that the surface of the particles is covered by a layer of oligomers or polymer chains which shift the shear plane toward the bulk solution, increasing the anomalous surface conductance of the polystyrene microsphere-electrolyte solution interface.     

Effect of electrolyte type on the electrokinetic behavior of carboxylated polystyrene model colloids

Carboxylated polystyrene latex particles were prepared by emulsifier-free emulsion polymerization of styrene using an azoinitiator (ACPA), which provides carboxyl end groups on the latex surface. Two latexes were characterized using TEM, PCS, conductimetric and potentiometric titrations, and electrophoretic mobility. To determine the hydrophobic or hydrophilic character of these latexes, the maximum adsorption of a nonionic surfactant (Triton X-100) was also studied and compared with other type of latexes. The electrophoretic mobility of these functionalized model colloids was studied in the presence of various types of inorganic electrolytes. The _e curves of these latexes exhibit a smooth maximum at an electrolyte concentration of around 10^–3 and 5·10^–3 M for 11, 21 and 12 electrolytes. When a 31 electrolyte (LaCl₃) was used, the electrophoretic mobility changed to positive values at high concentration due to the specific adsorption of lanthanum species. In general, the surface characteristics of these carboxylated latexes are very different in comparison to other latexes with the same functionality because the carboxyl groups are provided by the initiator, while in most of the cases these groups are provided by ionic comonomers (acrylic, methacrylic acids, etc.) used in the copolymerization with styrene.     

Excitation spectrum of Hubbard model with infinite electron repulsion on strip‐type triangular lattices

The estimations of the stability region of the lattice ferromagnetic ground state in the space of model parameters are found. For the triangular lattice strip formed by L segments with the total number of electrons N=L+1 we derived the effective Hamiltonians describing the low‐energy states of the strips and obtained the analytical estimations for above stability region. The possibility of the magnetic transition with the jump of the ground‐state spin between minimal and maximal values has also been shown. For the strip with N=L and an alternating value of the one‐site potential energy, we have obtained the exact relation between electron parameters, which provides the ferromagnetic character of the lattice ground state. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 253–259, 2001     

Investigation of the effect of type and concentration of ionizable comonomer on the collapse behavior of N-isopropylacrylamide copolymer gels in water

This work was done to investigate the effect of three different ionizable components (acrylic acid, AA; itaconic acid, IA; maleic acid, MA) on the volume phase transitions and swelling equilibria of thermoshrinking type N-isopropylacrylamide (NIPAAM) gels in water. NIPAAM copolymer gels were synthesized by free radical crosslinking copolymerization of NIPAAM with each of AA, IA, and MA, the difference being both between configurations and carboxyl group numbers, and pK values, in the presence of N,N′-methylene-bis-acrylamide (MBAAM). The influence of comonomer concentrations (1, 5, and 10 mol %), MBAAM content (0.0096, 0.0193, and 0.0288 g), and comonomer type (AA, IA, and MA) on the external views, the percentages of equilibrium mass, and volume swellings [S %(m), S % (v)], the number-average molecular weight between crosslinks (M̄_c), effective crosslinking densities (ν_e), the change of the collapse temperatures, and swelling ratios in the swelling–shrinking process of the gels were examined. It was observed that phase transition temperature and swelling degree in the case of MA having a cis configuration and higher pK value are larger than those of the samples containing IA and AA. © 1999 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 37: 1847–1855, 1999     

Separation of α-amylase by reversed micellar extraction effect of solvent type and cosolvent concentration on the transfer process

The recovery of α-amylase from the crude enzyme preparation by the reversed micellar liquid-liquid extraction was investigated. The reversed micellar solution was formed by dissolving a cationic surfactant Aliquat 336 in six different alkanes (cyclohexane, n-hexane, isooctane, n-octane, n-decane, and n-dodecane) respectively with addition of a cosolvent n-octanol. It was found that a minimal quantity of noctanol was needed for Aliquat 336 to dissolve in apolar solvent and form reversed micelles. Furthermore, this minimal amount of n-octanol needed was found to be different when Aliquat 336 was dissolved in different alkanes. It tended to increase with the number of carbon atoms in alkane and also depended on the solvent structure. During the forward extraction process, it was revealed that a high value of solubilization of protein in Aliquat 336 reversed micelles could be achieved when four out of the six alkanes (cyclohexane, n-hexane, isooctane, noctane) were used as the solvent for Aliquat 336. After a full forward and backward extraction cycle, however, a high recovery of both the protein mass and a-amylase activity in the stripping solution could be obtained only when two out of the six alkanes (n-hexane and isooctane) were used as the solvent for Aliquat 336. When n-hexane and isooctane were used as the solvent for Aliquat 336, up to 80% of the total α-amylase activity in the crude enzyme preparation could be recovered at the end of extraction cycle, meanwhile α-amylase could be concentrated about 1.4-fold. In the cases of other four alkanes (cyclohexane, n-octane, n-decane, and n-dodecane) as solvent, most of the α-amylase activity in the crude enzyme preparation would be denatured after an extraction cycle.     

Investigation of the surfactant type and concentration effect on the retention factors of glutathione and its analogues by micellar electrokinetic chromatography

In the present study, a micellar electrokinetic chromatographic method was used to determine the retention factors of hydrophilic monomeric and homodimeric forms of glutathione analogues. Ionic‐liquid‐based surfactant, 1‐tetradecyl‐3‐methylimidazolium chloride, as well as cetyltrimethylammonium bromide and phosphate buffer (pH 7.4) were employed in the experiments. Since the studied peptides possess a negative charge under physiological conditions, it is expected that the peptides interact with the oppositely charged 1‐tetradecyl‐3‐methylimidazolium chloride and cetyltrimethylammonium bromide micelles via hydrophobically assisted electrostatic forces. The dependence of the retention factor on the micellar concentration of 1‐tetradecyl‐3‐methylimidazolium chloride and cetyltrimethylammonium bromide is nonlinear and the obtained curves converge to a limiting value. The retention factor values of GSH analogues were in the range of 0.36–2.22 for glutathione analogues and –1.21 to 0.37 for glutathione when 1‐tetradecyl‐3‐methylimidazolium chloride was used. When cetyltrimethylammonium bromide was employed, the retention factor values were in the range of 0.27–2.17 for glutathione analogues and –1.22 to 0.06 for glutathione. If sodium dodecyl sulfate was used, the retention factor values of glutathione analogues with carnosine moiety were in the range of –1.54 to 0.38.