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TR-Dizin

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    Journal Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Convergence analysis and numerical solution of the benjamin-bona-mahony equation by lie-trotter splitting
    (Tubitak Scientific & Technological Research Council Turkey, 2018) Zurnaci, Fatma; Gucuyenen Kaymak, Nurcan; Seydaoglu, Muaz; Tanoglu, Gamze
    In this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting is applied to the equation. The local error bounds are obtained by using the approach based on the differential theory of operators in a Banach space and the quadrature error estimates via Lie commutator bounds. The global error estimate is obtained via Lady Windermere's fan argument. Finally, to confirm the expected convergence order, numerical examples are studied.
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    Peer Review
    Citation - WoS: 4
    The importance of protein profiling in the diagnosis and treatment of hematologic malignancies
    (Galenos Yayincilik, 2011) Sanli-Mohamed, Gulsah; Turan, Taylan; Ekiz, Huseyin Atakan; Baran, Yusuf; Baran, Yusuf
    Proteins are important targets in cancer research because malignancy is associated with defects in cell protein machinery. Protein profiling is an emerging independent subspecialty of proteomics that is rapidly expanding and providing unprecedented insight into biological events. Quantitative assessment of protein levels in hematologic malignancies seeks a comprehensive understanding of leukemia-associated protein patterns for use in aiding diagnosis, follow-up treatment, and the prediction of clinical outcomes. Many recently developed high-throughput proteomic methods can be applied to protein profiling. Herein the importance of protein profiling, its exploitation in leukemia research, and its clinical usefulness in the treatment and diagnosis of various cancer types, and techniques for determining changes in protein profiling are reviewed. (Turk J Hematol 2011; 28: 1-14)