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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 92 (1970), S. 6134-6139 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-1017
    Keywords: Key words Kinetic folding ; Minimun free energy structures ; RNA secondary structures ; Sequence structure relations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract Algorithms predicting RNA secondary structures based on different folding criteria – minimum free energies (mfe), kinetic folding (kin), maximum matching (mm) – and different parameter sets are studied systematically. Two base pairing alphabets were used: the binary GC and the natural four-letter AUGC alphabet. Computed structures and free energies depend strongly on both the algorithm and the parameter set. Statistical properties, such as mean number of base pairs, mean numbers of stacks, mean loop sizes, etc., are much less sensitive to the choice of parameter set and even of algorithm. Some features of RNA secondary structures, such as structure correlation functions, shape space covering and neutral networks, seem to depend only on the base pairing logic (GC or AUGC alphabet).
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 101 (1979), S. 4708-4713 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of organic chemistry 44 (1979), S. 374-379 
    ISSN: 1520-6904
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 82 (1978), S. 459-463 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The paper presents a qualitative analysis of the following systems ofn differential equations: $$\dot x_i = x_i x_j - x_i \sum\nolimits_r^n { = 1} x_r x_s {\mathbf{ }}(j = i - 1 + n\delta _{i1} {\mathbf{ }}and{\mathbf{ }}s = r - 1 + n\delta _{r1} )$$ , which show cyclic symmetry. These dynamical systems are of particular interest in the theory of selforganization and biological evolution as well as for application to other fields.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Monatshefte für Chemie 103 (1972), S. 1483-1495 
    ISSN: 1434-4475
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die Energien und Dipolmomente mehrerer Konformationen von 2,2-Dimethyl-1,3-dioxan-4,6-dion (Meldrumsäure) wurden mit Hilfe der semiempirischenLCAO-MO-SCF-Methode vonPople berechnet. Die Ergebnisse werden mit den experimentellen Dipolmomenten einiger Derivate von 1,3-Dioxan-4,6-dion verglichen. Die Unterschiede zwischen den experimentellen Dipolmomenten dieser Verbindungen können durch Annahme unterschiedlicher Konformerengleichgewichte erklärt werden. Die berechnete Protonenaffinität desMeldrumsäureanions läßt sich in eine Reihe von Aciditäten verschiedenartiger Säuren in Übereinstimmung mit den experimentellen Werten einordnen.
    Notes: Abstract The total energies and dipole moments of some conformations of 2.2-dimethyl-1,3-dioxane-4,6-dione (Meldrum's acid) were calculated withPople's semiempiricalLCAO-MO-SCF-procedure (CNDO). The results are compared with the experimental dipole moments of 2.2-dimethyl-1.3-dioxane-4.6-dione and its alkyl derivatives. The unusual high differences in the experimental dipole moments of this series of compounds are explained by the assumption of different conformational equilibria. The proton affinity ofMeldrum's acid anion fits well into a series of calculated proton affinities of otherBrønsted acids.
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  • 8
    ISSN: 1434-4475
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die Umsetzungen von Isobutylidenmeldrumsäure bzw. von 3-Methyl-2-äthoxycarbonylbutyliden-1-meldrumsäure mit Diazoessigester folgen Geschwindigkietsgesetzen 2. Ordnung. Aus der Temperaturabhängigkeit der Reaktionsgeschwindigkeitskonstanten errechnen sich Aktivierungsparameter, die jenen der 1,3-dipolaren Cycloaddition entsprechen. Diese Werte ändern sich nur wenig bei Übergang zu Lösungsmitteln unterschiedlicher Polarität. Die Ergebnisse lassen auf thermisch labile 1-Pyrazoline als Zwischenprodukte schließen, die dann zu den bekannten, stickstoffreien, stabilen Reaktionsprodukten zerfallen.
    Notes: Abstract The reaction of either isobutylidenmeldrum acid or 3-methyl-2-ethoxycarbonylbutyliden-1-Meldrum acid with ethyl diazoacetate exhibits second order kinetics. The values of the activation parameters, calculated from the temperature dependence of the rate constants, correspond to those obtained from 1,3 dipolar cyclo-addition reactions. These values are altered only slightly when the polarity of the solvent is changed. These results suggest that the reaction proceeds via a thermally labile 1-pyrazoline which then decomposes to give nitrogen and the observed products.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 24 (1972), S. 191-200 
    ISSN: 1432-2234
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Hydrate der Ionen Li+, Na+, Be2+, F− und Cl− mit den Koordinationszahlen 1, 2, 4, 6 und 8 sowie bis zu drei Hydrathüllen wurden mit Hilfe des CNDO/2-Verfahren berechnet. Die Stärke der Wasserstoffbrücken in den äußeren Sphären wird durch die Ladungsübertragung vom Zentralion zu den Liganden stark beeinflußt. Bei F− unterscheidet sich die mittlere Bindungsenergie in der dritten Sphäre kaum mehr vom reinen Wasser; bei Li+ reicht der Einfluß um eine Wasserhülle weiter. Für beide Ionen wird 6 als günstigste Koordinationszahl erhalten.
    Abstract: Résumé Calcul par la méthode CNDO/2 des hydrates des ions Li+, Na+, Be2+, F− et Cl−, à nombres de coordinence 1, 2, 4, 6 et 8, avec jusqu'à trois couches de molécules d'eau. La force de la liaison hydrogène dans les couches externes est largement déterminée par le transfert de charge à partir de l'ion central vers les ligands. Dans la troisième couche d'hydratation de l'ion F− l'énergie de liaison moeyenne est presque la meme que dans les essaims d'eau pure. Dans le cas de Li+ l'influence de l'ion atteint une couche supplémentaire. Pour ces deux ions le nombre de coordinence 6 s'avère le plus favorable.
    Notes: Abstract Hydrates of the ions Li+, Na+, Be2+, F− and Cl− with coordination numbers 1, 2, 4, 6 and 8 and up to three shells of water molecules were calculated with the CNDO/2 method. The strength of the hydrogen bond in the outer shells is determined largely by the charge transfer from the central ion to the ligands. In the third hydration shell of the F− ion the average binding energy is almost the same as in pure water clusters. In the case of Li+ the influence of the ion reaches one shell further. For both ions the coordination number 6 is the most favourable one.
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  • 10
    ISSN: 1434-4475
    Keywords: Neutral networks ; Random graphs ; RNA secondary structures ; Zipf's law
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die globalen Benziehungen zwischen RNA-Sequenzen und Sekundärstrukturen werden als Abbildungen aus einem Raum aller Sequenzen in einen Raum aller Strukturen aufgefaßt. Diese Abbildungen werden durch Falten aller binären Sequenzen desGC-undAU-Alphabets mit Kettenlängen bis zun=30 untersucht. Die berechneten Strukturdaten werden durch vollständiges Abzählen ausgewertet und als eine exakte Referenz zum Überprüfen analytischer Resultate aus mathematischen Modellen sowie zum Testen statistisch erhobener Proben verwendet. Einige neuartige Konzepte zur Beschreibung der Beziehungen zwischen Sequenzen und Strukturen werden eingehend untersucht, unter ihnen der Begriff derneutralen Netzwerke. Ein neutrales Netzwerk besteht aus allen Sequenzen, die eine bestimmte Struktur ausbilden. Vollständiges Abzählen ermöglicht beispielsweise die Bestimmung aller Strukturen minimaler freier Energie in Abhängigkeit von der Kettenlänge ebenso wie die Bestimmung der Häufigkeitsverteilungen der Strukturen bei konstanten Kettenlängen. Die letzteren folgen einer verallgemeinerten FormZipfschen Gesetzes.
    Notes: Summary Global relations between RNA sequences and secondary structures are understood as mappings from sequence space into shape space. These mappings are investigated by exhaustive folding of allGC andAU sequences with chain lengths up to 30. The computed structural data are evaluated through exhaustive enumeration and used as an exact reference for testing analytical results derived from mathematical models and sampling based on statistical methods. Several new concepts of RNA sequence to secondary structure mappings are investigated, among them that ofneutral networks (being sets of sequences folding into the same structure). Exhaustive enumeration allows to test several previously suggested relations: the number of (minimum free energy) secondary structures as a function of the chain length as well as the frequency distribution of structures at constant chain length (commonly resulting in generalized forms ofZipf's law).
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