Endogenous chaotic dynamics in transitional economies

This paper examines a model of labor market dynamics in an economy undergoing transition from command socialism to market capitalism. State sector layoffs are modeled as a function of forecasts made by state planners of private sector wages where the laidoff workers are to be re-employed. The state switches between using a high information cost perfect forecast and a free naive forecast in a system that resembles a cobweb supply-demand model. Under certain specifications and parameter values chaotic dynamics are shown to endogenously emerge along with several other varieties of complex dynamics including strange attractors, coexistence of infinitely many stable cycles, cascades of infinitely many period doubling bifurcations and fractal basin boundaries between coexisting non-chaotic attractors.     

EXTENDING CIRCULAR DICHROISM SPECTRA INTO THE VACUUM UV AND ITS APPLICATION TO PROTEINS

Circular dichroism (CD) spectra measured into the vacuum UV region provide information necessary for this technique to fulfill its potential. In the case of proteins, CD spectra measured to 184 nm or below can be analyzed for secondary structure: generalized inverses make such analyses particularly simple. Generalized inverses for α-helix, anti-parallel β-sheet, parallel β-sheet, β-turn, and "other" structures are given in tabular form. When the dot product of each inverse is taken with the digitized spectrum of a protein, the amount of corresponding secondary structure is predicted. However, protein CD spectra truncated above 184 nm give too little information to give reliable analyses. Furthermore, adding constraints only complicates this problem because unreliable analyses now appear good.     

Basic conjugacy theorems forG 2

Dedicated to Donald G. Higman     

Negative chemical ionization and accurate mass measurement applications for a linked gas chromatography/Fourier transform infrared spectrometer/Fourier transform mass spectrometer

Summary The analytical utility of a linked GC/FTIR/ FTMS system operating in accurate mass and negative CI modes is demonstrated. In addition to the complementary information derived from IR and MS search results, accurate mass measurement data (average error of 4.2 ppm) is employed in the analysis of a seven component mixture. A post search filter uses accurate mass data to eliminate spectral search results with incorrect elemental compositions. An alternate positive ion EI and negative ion CI GC/IR/MS analysis is also performed on a mixture of substituted phenyl aldehydes and ketones. The reagent gas, ammonia, is introduced by pulsed valve thus minimizing crossover spectral contamination while maximizing spectral resolution. Proton abstraction by the amide produces an intense (M-1)^– for all compounds in the mixture. Molecular weight information from the negative CI data is used in a post search filter to improve the reliability of both IR and MS search results.

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Anwendung der negativen chemischen Ionisation und genauer Massenmessungen für ein gekoppeltes GC/FTIR/FTMS-System

Zusammenfassung Die analytische Anwendbarkeit eines gekoppelten GC/FTIR/FTMS-Systems mit akkurater Massenmessung und NCI-Betrieb wird dargestellt. Zusätzlich zu den komplementären Informationen aus IR- und MS- Bibliothekssuchen werden Daten aus akkuraten Massenmessungen (mittlerer Fehler 4.2 ppm) bei der Analyse einer Mischung aus sieben Komponenten mit herangezogen. Im Anschluß an die Bibliothekssuche eliminiert ein Filter mit Hilfe der akkuraten Massen Ergebnisse mit fehlerhafter Elementarzusammensetzung. Von einer Mischung aus substituierten Phenylaldehyden und -ketonen wird eine Analyse mit alternierender Registrierung von positiven EI- und negativen CI-Spektren durch ein GC/IR/-MS-System ausgeführt. Das Reaktandgas Ammoniak wird über ein gepulstes Ventil zugegeben, um bei maximaler spektraler Auflösung minimale Störung durch Verunreinigung zu erhalten. Durch Abstraktion eines Protons von der Amidfunktion werden von allen Komponenten der Mischung intensive (M-1)-Ionen gebildet. Molekulargewichtsinformationen aus dem NCI-Experiment werden als Filter verwendet, mit dem die Zuverlässigkeit des Suchens in IR- und MS-Datenbanken erhöht werden kann.

     

Molecular modeling of the intestinal bile acid carrier: A comparative molecular field analysis study

A structure–binding activity relationship for the intestinal bile acidtransporter has been developed using data from a series of bile acid analogsin a comparative molecular field analysis (CoMFA). The studied compoundsconsisted of a series of bile acid–peptide conjugates, withmodifications at the 24 position of the cholic acid sterol nucleus, andcompounds with slight modifications at the 3, 7, and 12 positions. For theCoMFA study, these compounds were divided into a training set and a test set,comprising 25 and 5 molecules, respectively. The best three-dimensionalquantitative structure–activity relationship model found rationalizesthe steric and electrostatic factors which modulate affinity to the bile acidcarrier with a cross-validated, conventional and predictive r²of 0.63, 0.96, and 0.69, respectively, indicating a good predictive model forcarrier affinity. Binding is facilitated by positioning an electronegativemoiety at the 24–27 position, and also by steric bulk at the end of theside chain. The model suggests substitutions at positions 3, 7, 12, and 24that could lead to new substrates with reasonable affinity for the carrier.