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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 85 (2000), S. 309-328 
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):65J15, 65J20, 47H17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. In this paper we derive convergence rates results for Landweber iteration in Hilbert scales in terms of the iteration index $k$ for exact data and in terms of the noise level $\delta$ for perturbed data. These results improve the one obtained recently for Landweber iteration for nonlinear ill-posed problems in Hilbert spaces. For numerical computations we have to approximate the nonlinear operator and the infinite-dimensional spaces by finite-dimensional ones. We also give a convergence analysis for this finite-dimensional approximation. The conditions needed to obtain the rates are illustrated for a nonlinear Hammerstein integral equation. Numerical results are presented confirming the theoretical ones.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 72 (1995), S. 21-37 
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 65J15, 65J20, 47H17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. In this paper we prove that the Landweber iteration is a stable method for solving nonlinear ill-posed problems. For perturbed data with noise level $\delta $ we propose a stopping rule that yields the convergence rate $O (\delta ^{1/2}$ ) under appropriate conditions. We illustrate these conditions for a few examples.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1432-0584
    Keywords: Immunocytochemistry ; Leukaemia ; Oncogenes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The expression of p21 ras proteins was investigated by immunocytochemistry in permanent cell lines and in fresh human leukaemic cells. While high and low levels of p21 ras could be detected in most of the cell lines, no significant p21 ras immunoreactivity was noted in cells of ten human acute and chronic leukaemias. Thus, notwithstanding its possible role in the initial transformation process in human leukaemias, p21 ras expression appears not to be an irrevocable requirement for the maintenance of the transformed state.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Annals of hematology 55 (1987), S. 433-445 
    ISSN: 1432-0584
    Keywords: Cytostatic drug testing ; Human leukemia ; Flow cytometry ; Esterase activity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Human bone marrow cells from 20 patients as well as the permanent human B-cell lines RPMI 1788, Raji, Daudi, T-cell lines Molt, CEM, Jurkat and the promyelocytic line HL 60 were assayed by means of a newly developed in vitro flow cytometric cytostatic drug assay. The cells were exposed to cytosine-arabinoside, L-asparaginase, daunorubicin, prednisone or vincristine. Surviving cells were stained after an incubation period of 2 to 7 days with esterase and pH-indicator dye ADB (1,4-diacetoxy-2,3-dicyanobenzene), dead cells with DNA-dye PI (propidium iodide). Dose-response curves were established using percent surviving cells. It was possible to evaluate bone marrow samples from 16 out of 20 patients. Seven samples were leukemic (acute myeloid leukemia (AML) n=6, Non-Hodgkin's Lymphoma (NHL) n=1). Nine samples were from patients either in complete remission or with benign diseases. Daunorubicin and cytosine-arabinoside were cytotoxic in both groups, whereas vincristine was effective mainly in the leukemic group (p〈0.05). There was significant heterogeneity in the reactivity of AML-marrow cells from different patients to different drugs. The cell lines exhibited different patterns of sensitivity. Vincristine arrested cells in G2/M-phase, cytosine-arabinoside caused an increase of cells in the S-phase.
    Type of Medium: Electronic Resource
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  • 5
    Title: Tikhonov Regularization of ILL-Posed Linear Operator Equations on Closed Convex Sets
    Author: Neubauer, Andreas
    Publisher: Linz :Johannes Kepler Universität,
    Year of publication: 1985
    Pages: 104 S.
    Type of Medium: Book
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  • 6
    Title: Regularization of inverse problems; 375
    Author: Engl, Heinz W.
    Contributer: Hanke, Martin , Neubauer, Andreas
    Publisher: Dordrecht u.a. :Kluwer,
    Year of publication: 1996
    Pages: 321 S.
    Series Statement: Mathematics and its applications 375
    Type of Medium: Book
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