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  • Column liquid chromatography
  • stability
  • Springer  (60)
  • Nature Publishing Group
  • 1980-1984  (60)
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Keywords
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Year
  • 1
    Electronic Resource
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    Springer
    Computing 24 (1980), S. 341-347 
    ISSN: 1436-5057
    Keywords: Numerical analysis ; Volterra integral equations of the second kind ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Ziel dieser Arbeit ist es, die Stabilitätseigenschaften einer Klasse Volterrascher Integralgleichungen zweiter Art zu untersuchen. Unsere Behandlung ist der üblichen Stabilitätsanalyse ähnlich, in der die Kernfunktionen zu einer im voraus beschränkten Klasse von Testfunktionen gehören. Wir haben die Klasse der “endlich zerlegbaren” Kerne betrachtet. Stabilitätsbedingungen werden abgeleitet und verglichen mit den Bedingungen für die einfache Testgleichung. Es zeigt sich, daß die neuen Kriteria einschränkender sind als die konventionellen Bedingungen. Der praktische Wert wird getestet durch numerische Experimente mit der Trapezregel.
    Notes: Abstract The purpose of this paper is to analyse the stability properties of a class of multistep methods for second kind Volterra integral equations. Our approach follows the usual analysis in which the kernel function is a priori restricted to a special class of test functions. We consider the class of finitely decomposable kernels. Stability conditions will be derived and compared with those obtained with the simple test equation. It turns out that the new criteria are more severe than the conventional conditions. The practical value is tested by numerical experiments with the trapezoidal rule.
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  • 2
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    Rheologica acta 22 (1983), S. 284-290 
    ISSN: 1435-1528
    Keywords: Viscometric flow ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract This paper examines three-dimensional disturbances of a plane steady shear flow of simple fluids with short memory. Under the assumption of nearly-viscometric flow, constitutive equations are derived and then a general form of the Reynolds-Orr energy equation is obtained. With the aid of this derived energy formula, sufficient conditions are generated for the stability of three-dimensional disturbances of the planar viscometric flow. These conditions are analysed and a comparison is made with the corresponding two-dimensional stability problem. There is a strong indication that the basic flow is less stable against three-dimensional disturbances than against two-dimensional ones.
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  • 3
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    Archive for rational mechanics and analysis 72 (1980), S. 203-218 
    ISSN: 1432-0673
    Keywords: simple fluid ; viscoelastic ; fading memory ; stability ; Liapunov function ; dynamical system
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The nonlinear equations of motion for an incompressible simple fluid, occupying a fixed bounded container, are formulated on the basis of the “finitelinear” viscoelasticity theory for materials with fading memory; this formal boundary-initial value problem is then viewed as a nonlinear abstract evolution equation on a certain Hilbert space. It is shown that a linearized version of this evolution equation is associated with a linear dynamical system on this Hilbert space, and several results for stability and asymptotic behavior for this linearized problem are proved through the use of Liapunov stability methods. On the assumption that the original nonlinear evolution equation also is associated with some dynamical system on the same space, it is shown that the rest condition of the fluid is stable and all motions are bounded. The Liapunov function employed for this purpose can be interpreted as a mechanical energy function for the fluid.
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  • 4
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    Computing 31 (1983), S. 261-267 
    ISSN: 1436-5057
    Keywords: 65M10 ; Dispersive equation ; finite difference ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Dieser Artikel beinhaltet eine Zusammenstellung von Differenzenverfahren für die Dispersionsgleichungu 1=au xxx. Es werden Kriterien zur Herleitung von Stabilitätsbedingungen für Differenzenverfahren angegeben und auf die angegebenen Differenzenverfahren angewendet.
    Notes: Abstract In this paper a table of difference schemes for the dispersive equationu i=au xxx is presented. A collection of criterions for deriving stability conditions of difference schemes is given and applied to these difference schemes.
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  • 5
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    Computing 32 (1984), S. 229-237 
    ISSN: 1436-5057
    Keywords: 65L05 ; 65L07 ; Stiff system ; Rosenbroek method ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In dieser Arbeit wird die Stabilität des Kaps-Rentrop-Verfahrens in die Anwesenheit nichtlinearer Steifheit (Stiffness) analysiert. Dazu werden mittels eines einfachen Modells zwei Größen introduziert. Die Werte dieser Größen reflektieren gewissermaßen das Verhalten eines Kaps-Rentrop-Verfahrens in die Anwesenheit einer bestimmten Kopplung zwischen die beiden Komponenten in das steife System gewöhnlicher Differentialgleichungen. Einige numerische Beispiele veranschaulichen die Analyse.
    Notes: Abstract In this paper we give an analysis of the effect of stiff nonlinearities on the behavior of a Kaps-Rentrop method. To that end we introduce two quantities related to a simple model. The values of these quantities determine to some extent the behavior of a Kaps-Rentrop method in case of a strong coupling between the smooth component and the transient one. Numerical examples illustrate the theoretical results.
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  • 6
    ISSN: 1572-9613
    Keywords: Correlation inequalities ; classical and quantum continuous systems ; positive type potentials ; stability ; thermodynamic limit
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study quantum mechanical systems of particles with Bose or Fermi statistics interacting via two-body potentials of positive type in thermal equilibrium. We rewrite partition functions, reduced density matrices (RDMs), and correlation functions in terms of Wiener and Gaussian functional integrals (sine-Gordon transformation). This permits us, e.g., to apply correlation inequalities. Our main results include an analysis of stability versus instability in the grand canonical ensemble and, for charge-conjugation-invariant systems, upper and lower bounds on RDMs, the existence of the thermodynamic limit of pressure, RDMs and correlation functions, an inequality comparing correlations with Fermi statistics to ones with Bose statistics, and inequalities which are important in the study of Bose-Einstein condensation and of superconductivity.
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  • 7
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    Journal of mathematical biology 20 (1984), S. 259-276 
    ISSN: 1432-1416
    Keywords: Age-structured population dynamics ; equilibria ; stability ; bifurcation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The existence of positive equilibrium solutions of the McKendrick equations for the dynamics of an age-structured population is studied as a bifurcation phenomenon using the inherent net reproductive rate n as a bifurcation parameter. The local existence and uniqueness of a branch of positive equilibria which bifurcates from the trivial (identically zero) solution at the critical value n=1 are proved by implicit function techniques under very mild smoothness conditions on the death and fertility rates as functional of age and population density. This first requires the development of a suitable linear theory. The lowest order terms in the Liapunov-Schmidt expansions are also calculated. This local analysis supplements earlier global bifurcation results of the author. The stability of both the trivial and the positive branch equilibria is studied by means of the principle of linearized stability. It is shown that in general the trivial solution losses stability as n increases through one while the stability of the branch solution is stable if and only if the bifurcation is supercritical. Thus the McKendrick equations exhibit, in the latter case, a standard exchange of stability with regard to equilibrium states as they depend on the inherent net reproductive rate. The derived lower order terms in the Liapunov-Schmidt expansions yield formulas which explicitly relate the direction of bifurcation to properties of the age-specific death and fertility rates as functionals of population density. Analytical and numerical results for some examples are given which illustrate these results.
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  • 8
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    Journal of mathematical biology 21 (1984), S. 25-34 
    ISSN: 1432-1416
    Keywords: Predator-prey ; density dependence ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The Gurtin and Levine model5 is studied in this paper under the assumption that the fecundity of prey depends on age as well as on the total population sizes of prey and predators. The purpose of this study is to see the effect of this density dependence on the stability criteria for the equilibria of the model equations. It is shown that there are cases when, due to density dependence, the model which is originally neutrally stable becomes stable.
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  • 9
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Aromatic acid isomers ; Low capacity ion-exchange resin ; Microbore packed columns
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary A low-capacity, anion-exchange, porous-polymer resin was used as the packing material in a microbore column. Using a phosphate buffer containing various organic modifiers, retention behavior of substituted benzoic acid isomers with amino, chloro, methyl, nitro and carboxylic groups was investigated. The effect of ethanol, acetonitrile and sodium dodecylsulfate used as organic modifiers on the retention behavior at various eluent pH values was studies and optimum separations of the positional isomers reported.
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  • 10
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    Chromatographia 18 (1984), S. 668-672 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Mixed eluents ; Preferential sorption of eluents ; Pressure effects
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Pronounced base line perturbations were repeatably observed in LC both in alternating recycling and in backflushing experiments when binary eluents and refractometric detectors were used. The perturbations which we call eigenzones appeared immediately after operating the recycling or the backflushing valve, and their size and shape depended on the nature of both the column filling and the mixed mobile phase as well as on the pressure drop across the column. Experimental results presented confirm that the primary causes of the eigenzones were the pressure changes in the columns which influenced the sorption equilibrium of mixed eluent components within the column packing. Some practical consequences of this effect are briefly discussed.
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  • 11
    ISSN: 1612-1112
    Keywords: Polycyclic aromatic hydrocarbons ; Column liquid chromatography ; Polyphenyl bonded phases ; Retention and carbon content
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The relationship between the retention of PAHs having various molecular sizes and the carbon contents (%) of bonded stationary phases with various types of ligands were investigated. The examined stationary phases were phenyl, diphenyl, triphenyl and benzyl-bonded silicas. The data indicated that sometimes it is not true that the retention of any solute relates linearly to the carbon content of the stationary phase. As the result, it is suggested that the pore size distribution of the silica support, the bulkiness of the ligand bonded to the silica and the molecular size of solute should also be considered before any precise statement can be made.
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  • 12
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    Chromatographia 18 (1984), S. 175-182 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Fourier transform IR ; Polar compounds ; Coal products
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Fourier-transform infrared spectrometry (FTIR) was utilized as a detection system for high-performance liquid chromatography of polar compounds on a normal bonded-phase system. In addition to FTIR, UV (254 nm) and refractive index detection were employed in the separation of model compounds containing oxygen and nitrogen atoms in their molecules (phenols, alcohols, neutral and weakly basic nitrogen compounds). A polar amino-cyano (PAC) bonded-phase column was employed with a binary mobile phase (98:2 CDCl3:CH3CN). The separations and the information gained from each detector is discussed, including interactions between sample material and mobile phase. A polar fraction of a coal-derived product is also chromatographed under identical conditions. The results based on FTIR detection and chromatographic retention behavior suggest the exclusive presence of hindered and unhindered phenols.
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  • 13
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    Chromatographia 18 (1984), S. 211-215 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Alkylbenzenes ; PAHs ; Retention prediction ; Microcomputer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The microcomputer-assisted retention prediction system in C18 reversed-phase HPLC is described. The system is based on the use of the hydrophobic parameter and the correlation factor of alkylbenzenes and polycyclic aromatic hydrocarbons (PAHs) which are highly correlated to their retention in reversed-phase HPLC. The system is evaluated by comparing the retention data between measured and predicted values. One of the typical examples applied for PAH analysis in the extracts of diesel particulate matter shows the high potential of the system investigated.
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  • 14
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    Chromatographia 18 (1984), S. 216-220 
    ISSN: 1612-1112
    Keywords: Cation exchangers ; Column liquid chromatography ; Exchange capacity, determination ; Organic peroxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Two oxidation procedures for the synthesis of silicabased aliphatic sulfonic acid cation-exchangers for HPLC are described. Several reaction conditions for oxidizing a terminal-bonded thiol with organic peroxides are provided along with their yields, capacities, reproducibility, and chromatographic behavior. Also, three methods for determining exchange capacity are discussed, and their relationship to the capacity factors of charged solutes is compared. The maximum capacity determined by the titration of the bonded silica was 0.34 meq/gram. The general problems of synthesizing cation-exchangers, measuring their efficiencies and exchange capacities, and evaluating their overall performances are outlined.
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  • 15
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    Chromatographia 18 (1984), S. 369-373 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Ion exchange ; dynamic ; Metal ions ; Equilibria effects
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Equilibria occurring during the dynamic ion exchange separation of metal ions were examined, and their effect on the chromatography of the metal ions was evaluated. Bonded reversed-phase silica, pure organic reversed phase, and silica columns were used to differentiate between the role of silica and the reverse phase. The results show that system peaks had the most important influence on the applicability of dynamic exchangers to quantitative metal ion determinations. The response of system peaks to sample composition (pH, ionic strength, matrix effects) was complicated and could not be predicted easily. Equilibria effects that can cause analytical errors were identified and recommendations for elimination of such errors are given.
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  • 16
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Amines ; Phenols ; Fourier transform I.R.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Several chromatographic parameters have been examined as to their effect on detectability for microbore high-performance liquid chromatography coupled with Fourier-transform infrared spectrometry. Detection limits for several compound classes are presented as amount injected. Improvements in detectability for this technique are discussed.
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  • 17
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Polystyrene packings ; Pre-column derivatization ; Thiamine compounds ; UV and fluorescence detection
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The chromatography of thiochrome and related phosphate esters was studied on two different polystyrene packing materials. The adsorbents were compared with respect to capacity factors, plate heights and resolution factors measured with different mixtures of phosphate buffer (pH 8.5) and methanol. In contrast with derivatized silica, these phases were found to be stable using an alkaline mobile phase and sample. Fast separations were possible with good peak symmetry at all organic modifier concentrations.
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  • 18
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    Chromatographia 18 (1984), S. 445-448 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Amino-bonded stationary phase ; Ion-exchange ; Fermentation solution ; Biomass
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary In this work the analytical separation of biomass hydrolysis and fermentation products is described. Aminobonded phase and ion exchange materials (HPX 87H, HPX 42A, μ Spherogel Carbohydrate) were used as HPLC stationary phases for the determination of monomeric and oligomeric carbohydrates, carbohydrate degradation and fermentation products. The HPX 42A and the amino-bonded phase columns are especially suitable for the analysis of the gluco oligomers. The HPX 87H column separates the monomeric sugars and their degradation and fermentation products (e.g. furfurals and ethanol) very well. Using the μ Spherogel Carbohydrate column the lower gluco-oligomers as well as the monomeric sugars and their degradation and fermentation products, can be determined within 35 minutes.
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  • 19
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Chiral bonded phase ; Racemate resolution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary A chiral stationary phase with an immobilized, optically active diamine was prepared for the separation of enantiomers. The synthesis of the phase was carried out by bonding (−)trans-1,2-cyclohexanediamine to microparticulate silica gel through the coupling agent 3-glycidoxypropylsilane. The resolution of the racemic compounds catechin, 2,2′-dihydroxy-1,1′binaphthyl and trans-1,2-cyclohexandiol, is reported.
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  • 20
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    Chromatographia 18 (1984), S. 495-498 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; PAHs ; Molecular shape recognition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The molecular-shape recognition of polycyclic aromatic hydrocarbons has been studied on various stationary phases in reversed-phase high-performance liquid chromatography. The examined stationary phases were phenyl-, diphenyl-, triphenyl- and benzyl-bonded silicas. The results of regression analysis inidcated that triphenylsilica is the best packing material to recognize the difference in the molecular-shape of structural isomers. This fact was confirmed by the separation of 4-ring isomers.
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  • 21
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Retention data ; Substituted benzene derivatives ; Correlations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The capacity factors of substituted benzene derivatives on bonded phases of various chain lengths in the reversed-phase mode have been measured and correlation of retention data between four stationary phases has been investigated by linear regression analysis. As a result, a difference in the retention mechanism between phases of shorter chain length and octadecylsilica was observed. In addition, it is also apparent that the multicombination treatment between retention data and descriptors such as π, HA, HD and σ promises the possibility of predicting the retention of substituted benzene derivatives on various reversed-phase stationary phases.
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  • 22
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Polyamines ; Dansyl derivatives ; Peak compression
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary Analytical conditions for the high-speed, reversed-phase, liquid chromatographic of a diamine (putrescine) and polyamines (spermine and spermidine) were determined. Various elution modes were employed using the same mobile phase constituents: 20mM sodium heptane sulfonate and 20mM acetic acid as solvent A and, pure acetonitrile as solvent B. Samples were derivatized with dansyl chloride before injection. Under isocratic conditions, the separation of the three polyamines was achieved in 7 min. The use of a linear elution gradient led to the same analytical time but with a better resolution of the putrescine peak from non-polyamine frontal peaks. For these measurements, the sample size was 5μl. This volume was increased to 20μl and the use of a steep gradient combined with the peak-compression technique allowed a fast analysis in 2–3 minutes, which may be compared with a 30 min run time necessary when a conventional column is used.
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  • 23
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    International journal of parallel programming 12 (1983), S. 193-209 
    ISSN: 1573-7640
    Keywords: Database ; characteristic frequency ; aggregated model ; decomposition ; stability ; dynamic distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A time decomposition technique is suggested for large-database (DB) models. The problem of network aggregation is studied and the results used to create a meaningful decomposed model. Decomposition conditions and assumptions are discussed and illustrated by examples. A practical operating schedule is presented for the time-separated DB model. The schedule uses a sequence of decomposed models, which are to be constructed recursively. The application of the time separation technique for large-DB models is presented in the form of a closed-loop algorithm. The problem of decomposition stability with respect to variations in time constants is considered as well. Two alternative approaches to the problem are suggested. For a probabilistic approach, practical approximate formulas are obtained for subsystem time constants and recommendations are made with respect to the decomposition structure. An approximate performance analysis is done for both standard and time-decomposed models. A comparison of the results is given.
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  • 24
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    Journal of pharmacokinetics and pharmacodynamics 11 (1983), S. 5-30 
    ISSN: 1573-8744
    Keywords: furazlocillin acylureido penicillin ; stability ; microbiological ; high pressure liquid chromatography assays ; red cell partitioning ; plasma protein binding ; healthy humans ; posture independent ; dose dependent pharmacokinetics of disposition ; pharmacokinetics of the penicilloic acid derivative
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The pharmacokinetics of the novel acylureidopenicillin furazlocillin, 6-[D-2-(3-furfurylidenamino-2-oxo-imidazolidine-1-carboxamido)-2-(4-hydroxyphenyl)-acetamido]-penicillanic acid and of its penicilloic acid derivative were investigated in five healthy male volunteers after intravenous administration of 2 and 4 g dosages. The volunteers were either in a lying or sitting position throughout the duration of the studies. The concentrations of the drug in plasma and urine were measured by two different methods in parallel: a microbiological assay and a newly developed high pressure liquid chromatography method. The latter method was also applicable for quantitation of the penicilloic acid derivative in these biological fluids. The drug's plasma protein binding (66%) and apparent red cell-plasma partition coefficient (0.055) were concentration independent. The pharmacokinetics of the drug were first order only at the lower dose level The apparent half lives of three distinguishable phases were, respectively, 4 $$(t_{1/2_1 } )$$ , 18 $$(t_{1/2_2 } )$$ , and 64 $$(t_{1/2_z } )$$ .
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  • 25
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    Euphytica 31 (1982), S. 451-459 
    ISSN: 1573-5060
    Keywords: Malus ; apple ; gamma radiation ; mutants ; compact clones ; stability ; chimaera
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Twelve selected, compact, clones of Bramley's Seedling induced by gamma radiation treatment were checked for stability. Representative trees were used as vegetative parents for large scale multiplication, and further buds were treated with gamma radiation to disrupt the structure of their meristems. The results indicate that seven of the clones are as stable as the original cultivar, and therefore probably homohistont, containing only cells with compact mutant genotype. The other five clones proved to be unstable and gave rise to a large proportion of apparently normal trees. It is hypothesized that in these clones the L1 (epidermis) consists of normal unchanged tissue, while the bulk of the plant tissue layers are of mutant cells, i.e. that they are periclinal chimaeras with the genotypes of the different cell layers coded for different growth forms.
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  • 26
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    Euphytica 33 (1984), S. 489-495 
    ISSN: 1573-5060
    Keywords: Triticum aestivum ; wheat ; multilines ; recurrent parents ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Three multilines each of Kalyansona and PV 18 varieties of wheat were compared for their stability of yield and agronomic characters and disease resistance against the respective recurrent parents. The experiments were conducted for four years at nine locations. The multilines had more tillers and bolder seeds than the recurrent parents. There were, however, no differences for plant height, ear length and number of spikelets per spike. The genotypes x years x locations interaction was much more important than genotypes x years or genotypes x locations interaction as well as the main effects for genotypes. It is suggested that the number of test locations should be increased while decreasing the number of years. The stability parameters indicated that the multilines had a higher mean yield in the case of Kalyansona multilines whereas the yield of multilines of PV 18 was not significantly inferior to that of the recurrent parent. The regression coefficients were very close to unity except for KSML 3 (b=1.132). The deviations from regression were much larger for the multilines than for the recurrent parents. For rust resistance the multilines were superior over the varieties Kalyansona and PV 18.
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  • 27
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    Colloid & polymer science 260 (1982), S. 895-910 
    ISSN: 1435-1536
    Keywords: networks ; thermo-elasticity ; van der Waals equation of state ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Molecular networks may be considered as elastic fluids the conformational abilities of which are adequately characterized with the aid of the model of a van der Waals conformational gas with weak interactions. The internal properties are submitted to the conditions of internal equilibrium, thus, having their changes uniquely related to the global transformations of the network upon deformation. These global properties are at least determining the limits of stability which are expressed in the van der Waals approach by formulating of a reduced equation of state of real networks. It will be discussed on hand of thermo-elastic measurements and its quantitative description what is in need for a full and self-containing phenomenological description of molecular networks.
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  • 28
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    Rheologica acta 21 (1982), S. 593-597 
    ISSN: 1435-1528
    Keywords: Shear deformation ; stability ; heterogeneous drop ; liquid membrane
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract The stability behaviour of heterogeneous drops indicates that, for liquid-liquid dispersions, we may have to modify the stability criterion to incorporate either the rheological characteristics of the dispersion or its cohesion or both.
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  • 29
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    Rheologica acta 22 (1983), S. 500-504 
    ISSN: 1435-1528
    Keywords: Coal suspension ; shear dependence ; solid phase concentration ; dispersing medium ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Proper design of operations encountered in preparation, transport and employment of suspensions like coal slurries and coal-oil mixtures require an accurate knowledge of their rheological behaviour. Such concentrated suspensions generally exhibit non-Newtonian behaviour (shearthinning) which is more pronounced at higher coal concentrations. The nature of the dispersing medium influences the aggregation state of the disperse phase and, consequently, affects the stability and the rheology of the systems. In the present paper coal suspensions prepared with different dispersing media and covering a wide range in solid phase concentration are studied, by using a rotational coaxial cylinders viscometer. Different models have been taken into consideration for correlating experimental data. In particular, in order to describe the dependence of viscosity on shear rate and solid phase concentration, the suitability of the model suggested by Smith and Bruce is evaluated. Accordingly, the aggregation state of the disperse phase as well as its dependence on shear rate and dispersing medium can be estimated.
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  • 30
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    Journal of statistical physics 25 (1981), S. 143-152 
    ISSN: 1572-9613
    Keywords: Ising model ; field theory model ; stability ; pressure ; ultraviolet divergence ; infrared divergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A field theory model onR 2 in which the basic fields are Ising spins instead of Gaussian spins is examined. Using statistical mechanics techniques we discuss the ultraviolet and the infrared problems. In particular we discuss a technique yielding the asymptotic expansion in λ of the ground state energy, as λ→0, without using the cluster expansion.
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  • 31
    ISSN: 1572-9613
    Keywords: Harmonic oscillator ; stochastic frequency ; stochastic differential equation ; stability
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    Topics: Physics
    Notes: Abstract Using a simple matrix method, we have obtained exact second-order equilibrium moments for a linearly damped harmonic oscillator with a fluctuating frequency ω(t) and driven by a fluctuating forcef(t). We have assumed each of the fluctuating quantities to be delta-correlated. We demonstrate that the final answers are identical whetherf(t) and ω(t) are statistically independent or delta-correlated. We have also established the region of parameter space in which the oscillator is energetically stable. The results are shown to be completely determined by the coefficients of the first and second cumulants of the fluctuations.
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    Human ecology 9 (1981), S. 47-78 
    ISSN: 1572-9915
    Keywords: variation ; management ; stability
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    Topics: Biology , Energy, Environment Protection, Nuclear Power Engineering , Ethnic Sciences
    Notes: Abstract Five concurrent systems of agricultural resource management in the Viru Valley in Peru's arid northern coastal plain are discussed as adjustments to microenvironmental variations in soil humidity. Widespread dependence on canal irrigation in an environment characterized by uncertainty in the availability of river water affects the agrarian population in several ways. The upper socioeconomic class has adapted to uncertainty by implementing a deviation-counteracting mechanism (tubular wells) that provides water on demand, giving them flexibility in choice of agricultural activities. Another class of farmers is unable to introduce this mechanism, however, and consequently must depend on a repertoire of inflexible decisions to cope with uncertainty. Each group exploits different opportunity costs to increase economic gain. One pattern provides for expansion, whereas the other at best establishes stability and maintenance. Noncanal techniques permit expansion of cultivation in conditions where canal irrigation is not feasible, thereby improving the overall level of effectiveness of resource use. Alternative techniques do not involve regulatory mechanisms nor do they require complex, interlocking social, economic, and political components. Their presence and persistence in the agricultural system provide variation that may ultimately be amplified as the need to intensify resource exploitation increases in the future.
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  • 33
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    Human ecology 11 (1983), S. 265-281 
    ISSN: 1572-9915
    Keywords: human ecology research methods ; systems analyses ; people-forest interactions ; flux ; stability ; Man and the Biosphere (MAB) program ; Kalimantan (Borneo)
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    Topics: Biology , Energy, Environment Protection, Nuclear Power Engineering , Ethnic Sciences
    Notes: Abstract Theoretically or practically significant research results concerning transitory as well as persistent phenomena can be obtained by human ecologists while avoiding commitment to long-term, expensive projects, rigid frameworks, traditional disciplinary goals, and unwarranted assumptions about the stability and purposiveness of units or systems. The procedures to be followed, as illustrated by research on people-forest interactions in East Kalimantan, involve a focus on significant human activities or people-environment interactions and the explanation of these by their placement within progressively wider or denser contexts. Guides for progressively contextualizing activities or interactions include a rationality principle, comparative knowledge of contexts, and the principle of pursuing the surprising.
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    Hydrobiologia 118 (1984), S. 127-133 
    ISSN: 1573-5117
    Keywords: meiofauna ; Harpacticoida ; eutrophication ; stability ; colonisation
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    Topics: Biology
    Notes: Abstract The harpacticoid fauna of a sandy sediment in the Sluice Dock of Ostend, Belgium, was dominated by a single species, Canuella perplexa, that attained an average annual density of over 400 ind. 10 cm−2 in 1976 and 1977, whereas other species had a total mean density of less than 10 ind. 10 cm−2. In the summer of 1979 a dystrophic crisis with abundant growth of Ulva occurred and in March 1980 the lagoon was drained. After refilling of the lagoon, the sediment was immediately colonized by good swimming harpacticoids, that attained densities of 200 ind. 10 cm−2. Three months after refilling Canuella perplexa reappeared and the system returned to its original state within one month.
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    Euphytica 31 (1982), S. 837-845 
    ISSN: 1573-5060
    Keywords: Evolutionarily persistent strategies ; evolutionarily stable strategies ; expansive energy ; game theory ; gene-for-gene game ; gene-for-gene relationship ; group selection ; pathosystem fitness ; persistence ; plant pathosystems ; resilience ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary Using gene-for-gene relationships as a basis for comparison, I show that Robinson's (1979, 1980) concept of an evolutionarily stable strategy, or ESS for short, is very different from the original definition of Maynard Smith & Price (1973) and, in fact, contradicts it in a number of important respects. The notion of an evolutionarily persistent strategy, or EPS for short, is introduced to clarify these differences and to reduce the potential for confusion in the future. The EPS concept is developed in terms of Holling's (1973) concept of resilience and Van Valen's (1976) notion of expansive energy. The combination of an ESS (sensu Maynard Smith & Price, 1973) and an EPS is offered as an alternative to Robinson's (1979, 1980) ESS concept. Robinson's recommendations for a holistic approach to plant pathosystem management are supported.
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    Hydrobiologia 72 (1980), S. 21-30 
    ISSN: 1573-5117
    Keywords: Sewage ponds ; BOD-removal ; stability ; Daphnia
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    Topics: Biology
    Notes: Abstract By arranging sewage ponds in series, some feedback relationships within the food web are disconnected, but stability may increase. This particularly applies to a persistent ‘clearwater-state’ in the last cell caused by mass growths of Daphnia or other zooplankton in the absence of fish. Microbial pollution in this case is reduced to a level which may permit nearly unrestricted irrigation. The oxygen balance of lagoons is, apart from the diurnal cycle, subject to substantial temporal variations. This also applies to continuous-flow laboratory models with a constant (BOD-load, temperature) or a constant-cycle (light) chemical and physical environment. An example is given illustrating a high adjustment stability of a lagoon in consequence of a catastrophic perturbation. The strong tendency of lagoons towards an oligomictic behaviour is promoted by thermal stratification and by a vertical gradient in the metabolic activity (oxidation/reduction potential). The hydrodynamic conditions oscillate between plug flow in periods of convective overturn and short-circuiting if thermal stratification has developed. Nevertheless, the average performance (BOD removal) for a particular season could be calculated with a reasonable accuracy. As a basis for this calculation, nomographs were developed from which the rate coefficient K1 of BOD removal for a given combination of residence time and BOD load can be read.
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    Hydrobiologia 98 (1983), S. 125-133 
    ISSN: 1573-5117
    Keywords: peritrichs ; ciliates ; streams ; aufwuchs ; stability ; diversity
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    Topics: Biology
    Notes: Abstract Artificial substrates, consisting of strips of nylon cloth, were used to sample sessile, filter-feeding ciliates at eleven stream sites. These ciliates were common (61 % of samples) and frequently abundant (mean = 95 cm−2). Populations varied widely, even within stream sites, and mean abundance was not related to subjective assessments of the sites. Permanent rural streams and streams below reservoirs, which have relatively stable flow regimes, had a peritrich fauna dominated byVorticella campanula along withCarchesium polypinum andV. striata. Urban and intermittent streams, with less stable flow regimes, showed an increasing number of peritrichs with non-contractile stalks, particularlyEpistylis plicatilis. The commonness and diversity of peritrichs was positively related to aufwuchs stability.
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    Journal of optimization theory and applications 40 (1983), S. 349-378 
    ISSN: 1573-2878
    Keywords: Convexity ; subdifferentials ; cones of directions of constancy ; equality set of constraints ; stability
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    Topics: Mathematics
    Notes: Abstract We present an algorithm which solves a convex program with faithfully convex (not necessarily differentiable) constraints. While finding a feasible starting point, the algorithm reduces the program to an equivalent program for which Slater's condition is satisfied. Included are algorithms for calculating various objects which have recently appeared in the literature. Stability of the algorithm is discussed.
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    Journal of optimization theory and applications 30 (1980), S. 229-253 
    ISSN: 1573-2878
    Keywords: Point-to-set maps ; domination structures ; parameterized decision-making problems ; solution maps ; stability
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    Topics: Mathematics
    Notes: Abstract Decision-making problems with multiple noncommensurable objectives are specified by two factors, i.e., the set of all feasible solutions and the domination structure. The solutions are characterized as nondominated points. Hence, in these problems, there may exist two parameter vectors, according to which the above two factors change. The stability of the solution set for perturbations of these parameters is investigated in this paper. The analysis is guided by using the concept of continuity of the solution map defined on the two parameter spaces.
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    Journal of optimization theory and applications 31 (1980), S. 515-533 
    ISSN: 1573-2878
    Keywords: Optimal control ; economic systems ; stability ; existence theory ; turnpike property
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    Topics: Mathematics
    Notes: Abstract Sufficient conditions for the existence of optimal trajectories and for the global asymptotic stability of these trajectories are given for a class of nonconvex and nonautonomous systems controlled over an infinite-time horizon. The concept ofG-supported trajectory is introduced. It is shown that, under some assumptions, aG-supported trajectory is overtaking and is globally asymptotically stable. The concept of overtaking trajectory has been previously defined as a notion of optimality on an infinite-time domain. For autonomous systems, under weaker conditions, one guarantees the existence of weakly overtaking trajectories. Finally, it is shown howG-supported trajectories can be obtained, and an application to the study of a pre-predator ecosystem optimally harvested is sketched.
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    Journal of optimization theory and applications 40 (1983), S. 77-83 
    ISSN: 1573-2878
    Keywords: Parameterized decision-making problems ; utopia point ; compromise solutions ; Hausdorff distance ; stability
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    Topics: Mathematics
    Notes: Abstract Stability is a desirable attribute of the nondominated solution in the decision-making problem with multiple noncommensurable objectives. It is assumed that the decision space is given by a system of inequalitiesG(x)≤b, b ∈ R N . In this paper, sufficient conditions are determined for a compromise solution to be stable with respect to the changes ofb.
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    Mathematical methods of operations research 28 (1984), S. 193-260 
    ISSN: 1432-5217
    Keywords: Analytic behaviour of strategies ; continuous strategies ; ES strategies ; MES strategies ; machine idleness ; monotonicity behaviour ; optimal strategies ; preselectivity ; regular measure of performance ; scheduling problems ; stability ; stochastic dynamic optimization ; stochastically ordered distributions ; stochastic scheduling
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    Topics: Mathematics , Economics
    Notes: Abstract The paper contains an introduction to recent developments in the theory of non-preemptive stochastic scheduling problems. The topics covered are: arbitrary joint distributions of activity durations, arbitrary regular measures of performance and arbitrary precedence and resource constraints. The possible instability of the problem is demonstrated and hints are given on stable classes of strategies available, including the combinatorial vs. analytical characterization of such classes. Given this background, the main emphasis of the paper is on the monotonicity behaviour of the model and on the existence of optimal strategies. Existing results are presented and generalized, in particular w.r.t. the cases of lower semicontinuous performance measures or joint duration distributions having a Lebesgue density.
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  • 43
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; HPLC ; Amino acids ; Sugars ; Biogenic amines
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    Topics: Chemistry and Pharmacology
    Notes: Summary Liquid chromatography has been used for the determination of amino acids, sugars and biogenic amines in food. Some special problems, for example, determination of patuline in apple juice, hyoscyamine and scopolamine in french beans preserves, were also solved by HPLC.
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  • 44
    ISSN: 1612-1112
    Keywords: Samarosporin ; Stilbellin ; Emerimicin ; Peptide Antibiotics (peptaibols) ; Fast atom bombardment MS ; Column liquid chromatography
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    Topics: Chemistry and Pharmacology
    Notes: Summary The structural identity of the polypeptide antibiotics, samarosporin I(II) and stilbellin I(II) with emerimicin IV(III) has been established by thin-layer chromatography, quantitative amino acid analysis by ion-exchange chromatography, gas-liquid chromatography of the N-pentafluoropropionyl amino acid n-propyl esters and N,O-bis-pentafluoropropionyl phenylalaninol with quartz capillaries coated with the chiral stationary phase N-propionyl-L-valine-tert-butylamide, and determination of the relative molecular masses and sequence-specific fragments by field desorption fast atom bombardment mass spectrometry. The separation of closely related sequence analogues of the above polypeptides could be achieved by reversed-phase high-performance liquid chromatography with spherical, fully porous octadecylsilyl bonded phases, and 86% aqueous methanol as eluent. The application of both chromatographic and mass spectrometric methods is demonstrated to be most valuable for the characterization of antibiotics with the unusual constituents α-aminoisobutyric acid, isovaline and phenylalaninol. The methology employed is regarded to be applicable to all polypeptide antibiotics of the peptaibol class.
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    Chromatographia 18 (1984), S. 574-578 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Microbore column ; Flow rate stability ; Performance ; Quantitative analysis
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    Topics: Chemistry and Pharmacology
    Notes: Summary Some quantitative implications of the use of microbore columns in column liquid chromatography are investigated. Although for several pumps the flow rate stability at 50 μl min−1 is slightly worse than that of pumps operating at 1 ml min−1, the quantitative performance with respect to repeatability and reproducibility of response factors equals that of conventional liquid chromatography. Thermostatting is strongly recommended for microbore column operation.
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    Chromatographia 18 (1984), S. 62-64 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Reversed phase ; Microparticulate packing ; Amino acids
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    Topics: Chemistry and Pharmacology
    Notes: Abstract A procedure is described by which 20 commonly occurring amino acids may be separated by reversed-phase liquid chromatography at room temperature in a total time, including derivatisation with o-phthalaldehyde/2-mercaptoethanol reagent, of approximately 15 minutes. Further, an increase in column temperature enables increased resolution of certain amino acids to be obtained with small but acceptable losses in fluorescence intensity. The only major drawback to the method is that the derivatisation reagent does not react with proline or hydroxyproline.
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    Chromatographia 18 (1984), S. 15-17 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Ion-pair ; Dynamic equillibrium ; Aqueous and aqueous alcohol eluents
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    Topics: Chemistry and Pharmacology
    Notes: Summary This work describes the dynamic equilibrium of an ionpair, reverse-phase liquid chromatography system. A given adsorbed quantity of an anionic surfactant can lead to different capacity factors and selectivity for anionic solutes.
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  • 48
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Retention correlation ; Silica ; Normal and reversed phase
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    Topics: Chemistry and Pharmacology
    Notes: Summary The correlation between the retention data of polyaromatic hydrocarbons (PAH) obtained in normal-and reversed-phase liquid chromatography is investigated in order to determine the dominant factors controlling the retention. It is clear that the separation of PAHs on various chemically-bonded packing materials in normal- and/or reversed-phase modes is primarily controlled by the molecular structure and shape. The π-electron interaction between the solute and the stationary phase also contributes to the retention, although pure silica shows a somewhat different behavior.
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    Chromatographia 18 (1984), S. 600-602 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Sugars ; Copper (II) complex ; UV detection
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    Topics: Chemistry and Pharmacology
    Notes: Summary A sensitive method of sugar analysis by HPLC is described in which a copper (II) modified silica gel as stationary phase is used. Detection is based on UV absorption of a complex formed between the sugar, copper, and ammonia.
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  • 50
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    Chromatographia 18 (1984), S. 695-697 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Semi-microbore columns ; Reverse-phase ; 3 μm packing
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    Topics: Chemistry and Pharmacology
    Notes: Summary The preparation and use of semi-microbore (2mm i.d.), reverse-phase columns in HPLC has been investigated and they have been compared with 5 mm bore analytical columns. Injection valve design, detector cell volume, column loading and column linking are considered for both semi-microbore and analytical systems. Mobile phase flow-rate, detector time constant and column lifetime are also evaluated for small-bore systems.
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  • 51
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Quantitative determination of L-alanine ; DABS-Cl ; Tryglycine sulphate
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    Topics: Chemistry and Pharmacology
    Notes: Summary A method for the quantitative determination of L-alanine in triglycine sulphate crystals, in the presence of excess amounts of glycine, is described. L-alanine is determined after derivatization with 4-N,N-dimethyl-aminoazobenzene-4′-sulfonyl chloride (DABS-Cl) and in the presence of DABS-valine used as the internal standard. The results obtained indicate that the method permits the determination of alanine in triglycine sulphate crystals at concentrations of about 1%.
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    Chromatographia 18 (1984), S. 73-80 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Microbore columns ; Performance ; High-speed separation
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    Topics: Chemistry and Pharmacology
    Notes: Summary Microbore columns of 1 mm i.d. have turned out to be very suitable for the achievement of efficient columns. The packing procedure for stainless steel 1 mm i.d. columns from 5 to 100 cm in length was studied. Stationary phases used were: pure silica gel, octyl, octadecyl and amino bonded silicas. The main parameters (slurry composition, packing system, choice of materials) are discussed. Short columns packed with 3 or 5μm particles allow high speed separations. A separation in 18 seconds is described. Very high plate numbers can be obtained with long columns. With 7–8μm particles, a 1 m column can produce 50,000 plates (h=3). Columns can be joined without loss of efficiency. 270 000 theoretical plates were obtained on a 6 m adsorption column with a test mixture. In reversed-phase chromatography, bile acid sodium salts can be separated on a 1 m column. In adsorption chromatography, details are given of the separation of a polystyrene oligomer sample, as well as a light and a heavy petroleum distillate samples on a 2 m column with refractive index detection in the last-case.
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    Chromatographia 18 (1984), S. 84-86 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Reversed phase ; Stationary phase evaluation
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    Topics: Chemistry and Pharmacology
    Notes: Summary For the evaluation of reversed phase packing materials a mixture of acetylacetone, I-nitronaphthalene and naphthalene is proposed. This will reveal the usual optimum kinetic chromatographic parameters (the naphthalene peak), the degree of activity or endcapping status of the column (the ratio of the I-nitronaphthalene and naphthalene retention times) and trace metal activity (the shape and intensity of the acetylacetone peak).
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    Chromatographia 18 (1984), S. 81-83 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Bonded phases ; Characterisation ; Toxicological screening
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    Topics: Chemistry and Pharmacology
    Notes: Summary This paper describes a test (“DMD-test”) to determine chromatographic properties of C8- or C18-bonded phases. The test was developed to select HPLC columns, for clinical and forensic toxicological screening in particular. The three compounds for the DMD-test are: diphenhydramine, 5-(p-methylphenyl)-5-phenylhydantoin (=MPPH) and diazepam. The isocratic mobile phase (acetonitrile/buffer pH2.3) is suitable for analysis of biological samples. 24 commercially available columns were tested. From our work this test enables the selection of commercial HPLC columns with reproducible properties. In this way a reference LC retention list can be developed to identify analytical results on an inter- or intralaboratory basis.
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    Chromatographia 18 (1984), S. 90-95 
    ISSN: 1612-1112
    Keywords: Column liquid chromatography ; Reversed phase ; Retention prediction ; Substituted benzenes ; Molecular parameters
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    Topics: Chemistry and Pharmacology
    Notes: Summary The separation of substituted benzene derivaties on a reversed-phase C-18 column has been examined. The correlations between the logarithm of the capacity factor and several descriptors indicating the molecular size, shape and the physical properties of a solute were determined. The results indicated that hydrophobicity is the dominant factor to control the retention of substituted benzenes. Their retention in reversed-phase HPLC can be predicted with help of the equations derived by multicombination of the parameters.
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  • 56
    ISSN: 1612-1112
    Keywords: Aldehydes and ketones ; 2,4-dinitrophenylhydrazine-coated silica gel ; Gas chromatography ; Column liquid chromatography ; Pollution
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    Topics: Chemistry and Pharmacology
    Notes: Summary After a brief review of several methods described in the literature this paper discusses air-sampling on 2,4-dinitrophenylhydrazine-coated silica gel and identification requirements for aldehydes and ketones most commonly found in industrial pollution. Quantitative analysis of formaldehyde and acetaldehyde either by GC or by HPLC techniques is established using a dynamic system producing test atmospheres and compared with the usual colorimetric determinations.
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    Journal of optimization theory and applications 39 (1983), S. 187-214 
    ISSN: 1573-2878
    Keywords: Self-interest maximization ; self-interest stable solutions ; self-interest cooperative games ; self-interest noncooperative games ; monotonic games ; decomposition theory ; reframing game payoffs ; full cooperation ; targeted solutions ; Pareto optimality ; collective group interest ; stability ; structural departure ; incentives for adopting a new game ; habitual domain
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    Topics: Mathematics
    Notes: Abstract Human beings have a prevailing drive to achieve their self-interest goals or equilibrium states, which may subsume their social interests. An ideal working environment or cooperative game situation would be one in which each participant or player maximizes his/her own interest while maximizing his/her contribution to the collective group interest. This paper addresses the feasibility, methods, and bounds for reframing a generaln-person game into an ideal game in which full cooperation or a targeted solution can be induced and maintained by the players' self-interest maximization. Criteria for good reframing are introduced. Monotonic games, self-interest cooperative and noncooperative games, and a decomposition theory of general games are also introduced to facilitate the study. It is shown that everyn-person game can be written as the sum of a self-interest cooperative game and a self-interest noncooperative game. Everyn-person game can be reframed so that full cooperation can be achieved by the players' self-interest maximization. Everyn-person game can be reframed so that a targeted solution can be obtained and maintained through the players' self-interest maximization.
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    Journal of optimization theory and applications 34 (1981), S. 279-310 
    ISSN: 1573-2878
    Keywords: Decentralized control ; overlapping decompositions ; suboptimality ; stability ; interconnected power systems
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    Topics: Mathematics
    Notes: Abstract A decentralized control scheme is proposed for linear systems composed of overlapping subsystems. By expanding the state space of the system, a higher-dimensional space is formed where the subsystems appear as disjoint. In the expanded space, standard optimization techniques can be used to formulate a suboptimal decentralized control law for the overall system. A suitable contraction of the obtained control law, which is compatible with the information constraints imposed by the overlapping subsystems, can be implemented in the original system. The application of the proposed decentralized control scheme is illustrated using a 19th order model for load-frequency control of a two-area interconnected power system.
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    Journal of optimization theory and applications 35 (1981), S. 23-30 
    ISSN: 1573-2878
    Keywords: Contour of complete nonuniqueness ; trusses ; stability ; structural optimization
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    Topics: Mathematics
    Notes: Abstract This paper develops the concept of a contour of complete nonuniqueness and shows its application to the optimal design (optimal layout) of simple trusses transmitting a concentrated force to a presscribed, arbitrary foundation contour. As an example, a symmetric two-bar truss with compressed bars is considered, and the constraints refer to various kinds of elastic instability of the system.
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    Journal of optimization theory and applications 35 (1981), S. 367-401 
    ISSN: 1573-2878
    Keywords: Multiple-criteria decision making ; vector-valued duality ; saddle-point duality ; Kuhn-Tucker conditions ; Pareto optimality ; stability ; efficient points
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    Topics: Mathematics
    Notes: Abstract In this paper, we develop a duality theory for nonlinear multiple-criteria optimization problems. The theory associates to efficient points a matrix, rather than a vector, of dual variables. We introduce a saddle-point dual problem, study stability concepts and Kuhn-Tucker conditions, and provide an economic interpretation of the dual matrix. The results are compared to the classical approach of deriving duality, by applying nonlinear programming duality theory to a problem obtained by conveniently weighting the criteria. Possible directions for future research are discussed.
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