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  • complementarity problems  (2)
  • Adhesion  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of cancer research and clinical oncology 126 (2000), S. 595-600 
    ISSN: 1432-1335
    Keywords: Key words Liver cancer ; Tumor metastasis ; Adhesion ; β Peptide ; Intercellular adhesion molecule-1
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Purpose: To study the inhibitory effects of synthetic β peptide on invasion and metastasis of liver cancer. Methods: Membrane-type intercellular adhesion molecule-1 (ICAM-1) expression of SMMC-7721 cultured hepatoma cells (7721 cells) was detected by immunofluorescence cell flowmeter. The adhesion of 7721 cells to fibronectin (FN) was assayed by the MTT method. The adhesion of 7721 cells to 7721 cells, 7721 cells to endothelial cells, and 7721 cells to lymphocyte cells was detected by adhesion assay. LCI-D20 human liver cancer metastasis model in nude mice was used in this experiment. One hundred micrograms of β peptide per mouse were injected subcutaneously after tumor was resected premetastatically or postmetastatically to observe its effect on liver cancer metastasis after hepatectomy. Results: Membrane-type ICAM-1 expression of SMMC-7721 cells treated by β peptide was lower than that of the untreated cells. The adhesion of 7721 cells to FN, 7721 cells to 7721 cells, 7721 cells to endothelial cells, and 7721 cells to lymphocyte cells was also lower in the β peptide group than in the untreated group. Conclusions:β Peptide can block the adhesion of 7721 cells to FN, 7721 cells to some host cells in vitro, and inhibit HCC metastasis of LCI-D20 model posthepatectomy in vivo, so it could potentially act as an anti-metastasis drug.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 101 (1999), S. 475-495 
    ISSN: 1573-2878
    Keywords: Variational inequalities ; convex programming ; complementarity problems ; exceptional families ; existence theorems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper introduces the concept of exceptional family for nonlinear variational inequality problems. Among other things, we show that the nonexistence of an exceptional family is a sufficient condition for the existence of a solution to variational inequalities. This sufficient condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. From the results in this paper, we believe that the concept of exceptional families of variational inequalities provides a new powerful tool for the study of the existence theory for variational inequalities.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 107 (2000), S. 641-664 
    ISSN: 1573-2878
    Keywords: complementarity problems ; strict feasibility ; quasimonotone maps ; P0-maps ; P*-maps
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Strict feasibility plays an important role in the development of the theoryand algorithms of complementarity problems. In this paper, we establishsufficient conditions to ensure strict feasibility of a nonlinearcomplementarity problem. Our analysis method, based on a newly introducedconcept of μ-exceptional sequence, can be viewed as a unified approachfor proving the existence of a strictly feasible point. Some equivalentconditions of strict feasibility are also developed for certaincomplementarity problems. In particular, we show that aP*-complementarity problem is strictly feasible if and only ifits solution set is nonempty and bounded.
    Type of Medium: Electronic Resource
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