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  • 1
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 4778-4785 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We show how eigenvectors of the Jacobi matrix @sJ and its transpose @sJT at a supercritical Hopf bifurcation can be used for quantitative characterization and analysis of models of oscillatory chemical reactions. Eigenvectors of @sJ determine the oscillations and the principal transients and can be expressed in terms of concentrations or reaction currents. Important reactions of a system can be easily identified this way. A pair of complex conjugate eigenvectors of @sJT associated with the bifurcation determines all independent quenchings of the oscillations. It can be used for quantitative comparison with experiment and in systematic search for better models. We combine the two sets of eigenvectors in a quantitative analysis of the effect of using a phase space of reduced dimension as an approximation to the full phase space. The analysis is illustrated by an explicit reduction of a five-dimensional Oregonator based model of the Belousov–Zhabotinskii reaction to a four-dimensional phase space involving a "quasi-species.'' The reduced phase space is tangent to a slow manifold at the bifurcating stationary point. Reconstruction of amplitudes and phases of the oscillations from incomplete quenching data is explained in terms of the reduced phase space.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 1747-1757 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We develop the theoretical basis for quenching analysis of small-amplitude chemical oscillations near a Hopf bifurcation in a concentration space of arbitrary dimension. (Quenching of a limit-cycle oscillation is carried out experimentally by instantaneously changing the concentrations of chemical species in a definite phase of the oscillation.) It is shown that quenching by addition of a species determines the reciprocal of the corresponding component of an eigenvector of the transposed Jacobi matrix. The set of all independent quenchings determines the tangent space of the stable manifold at the associated saddle focus even if only one species is monitored. Reconstruction of the oscillations from quenching data in an n-dimensional concentration space requires additional information if n〉3. We show that if n−2 chemical species are monitored the oscillatory parts of the remaining two (unknown) concentrations can be exactly calculated from the result of n quenchings. In this case one additional quenching by dilution suffices to determine also the two unknown average concentrations. Reconstruction from m quenchings with m−2 species monitored may still be possible with m less than the dimension; it will be exact if the species tested by quenching are the only ones oscillating, and an accurate approximation if the remaining n−m species oscillate with sufficiently small amplitudes. Experimental quenching data can be used for quantitative tests of models of an oscillatory system, and we show how quenching data can be calculated from models.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 1020-1029 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We study Hopf bifurcations in chemical reaction systems for their potential use in quantitative experimental analysis of the kinetics of oscillatory reactions. Three models of the Belousov–Zhabotinsky reaction are investigated as examples. For these we have determined and characterized the sub- and supercritical Hopf bifurcations in their dependence on parameters of the models. For supercritical bifurcations we calculate a number of parameters that can be used for quantitative comparison of models and experiment. In particular, we calculate expansion coefficients of the flow rate, the frequency of oscillation, and a Floquet exponent; the small parameter of the expansions is the square of the amplitude of the fundamental Fourier component of the oscillations. We also calculate quenching amplitudes from an adjoint eigenvector of the Jacobi matrix of the kinetics. They determine the conditions under which the small amplitude oscillations can be quenched by addition of the species participating in the reaction. The model properties are compared with experiment. They show qualitative, but not quantitative agreement.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 4
    Digitale Medien
    Digitale Medien
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 737 (1994), S. 0 
    ISSN: 1749-6632
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Allgemeine Naturwissenschaft
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 5
    Digitale Medien
    Digitale Medien
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Physiology 56 (1994), S. 1-13 
    ISSN: 0066-4278
    Quelle: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Thema: Medizin , Biologie
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Digitale Medien
    Digitale Medien
    s.l. : American Chemical Society
    Journal of the American Chemical Society 115 (1993), S. 5145-5148 
    ISSN: 1520-5126
    Quelle: ACS Legacy Archives
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    Digitale Medien
    Digitale Medien
    Oxford, UK : Blackwell Publishing Ltd
    Plant pathology 43 (1994), S. 0 
    ISSN: 1365-3059
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Land- und Forstwirtschaft, Gartenbau, Fischereiwirtschaft, Hauswirtschaft
    Notizen: Two independent bioassays demonstrated an antifungal effect of a basic sugar beet chitinase on Cercospora beticola, the causal agent of leaf spot disease in sugar beet (Beta vulgaris). In one assay, the growth of submerged spore cultures of C. beticola in microtitre wells was followed by measuring the increase in absorbance at 620 nm. Addition of chitinase to the culture resulted in a delay in germination and a slower initial growth rate. A more detailed picture of the action of the chitinase on the fungal cell wall was provided by an autoradiographic study. An intense labelling was observed at the apex of fungal hyphae grown in medium containing [3H]N-acetylglucosamine, through incorporation of the radioactive chitin monomer into newly synthesized chitin in the cell wall. After fixation of the fungal specimen, the radioactive labelling could be removed by treatment with purified chitinase, i.e. nascent chitin chains were hydrolysed by the enzyme. When the fungal culture was subjected to a chase phase prior to fixation, the radioactive depositions were less accessible to hydrolysis by the chitinase. HPLC analysis of the radioactive hydrolysis products released from the apex of the fungal hyphae showed that the main products were small chito-oligosaccharides, mainly dimers, trimers and tetramers of chitin.
    Materialart: Digitale Medien
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  • 8
    Digitale Medien
    Digitale Medien
    s.l. : American Chemical Society
    Inorganic chemistry 29 (1990), S. 3294-3298 
    ISSN: 1520-510X
    Quelle: ACS Legacy Archives
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 9
    Digitale Medien
    Digitale Medien
    238 Main Street, Cambridge, Massachusetts 02142, USA : Blackwell Scientific Publications
    International journal of gynecological cancer 3 (1993), S. 0 
    ISSN: 1525-1438
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Medizin
    Notizen: Four hundred and ten patients with epithelial ovarian cancer FIGO stages I and II were registered by a Danish multicenter study group (The Danish Ovarian Cancer Group - DACOVA). Two-thirds were stage I, the most frequent substage was Iai which was the classification in 27%. Five-year survival for stage I was 72%, and 38% for stage II. Multivariate analysis showed that age, stage, residual tumor, histologic grade and adjuvant treatment had prognostic value. For stage, three significantly different groups could be identified: (1) stage Iai, (2) stage Iaii-Ic, and (3) stage II. Histologic grade showed a significant survival difference between all grades. Adjuvant treatment had a moderate but significant impact on survival. Patients in stage Iai had a good survival with surgery alone and will probably not benefit from adjuvant therapy. Adjuvant treatment improved survival for the remaining patients in stages I and II without residual tumor. A difference between treatment modalities was not observed. However, the data need to be confirmed by a randomized trial. Patients in stage II with residual tumor should be treated as stage III.
    Materialart: Digitale Medien
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  • 10
    Digitale Medien
    Digitale Medien
    238 Main Street, Cambridge, Massachusetts 02142, USA : Blackwell Scientific Publications
    International journal of gynecological cancer 3 (1993), S. 0 
    ISSN: 1525-1438
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Medizin
    Notizen: Thirty-one patients with microinvasive carcinoma of the uterine cervix (less than 3.0 mm invasion, no lymph vascular involvement), were treated with combination laser conization. The mean follow-up period was 36 months. No cases of invasive disease have been diagnosed during follow-up. Examination during follow-up revealed atypical columnar epithelium in one case, but the hysterectomy specimen was normal. Based on these short-term results, combination laser conization for microinvasive carcinoma of the cervix seemed a sufficient therapy. A precise and careful histopathologic evaluation, and the patient acceptance of a strict follow-up schedule are mandatory to a decision to employ conservative management of microinvasive cervical carcinoma. Only long-term follow-up in patients treated by conservative therapy will be able to finally justify this approach.
    Materialart: Digitale Medien
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