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  • 1
    Electronic Resource
    Electronic Resource
    Tumor necrosis factor-α expression in muscles of polymyositis and dermatomyositis (2000)
    Springer
    Acta neuropathologica 99 (2000), S. 585-588 
    Details
    ISSN: 1432-0533
    Keywords: Key words TNF-α ; Polymyositis ; Dermatomyositis ; In situ hybridization ; Muscle fiber degeneration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract We evaluated the expression of tumor necrosis factor-α (TNF-α) mRNA in muscle biopsy specimens from patients with polymyositis (PM) and dermatomyositis (DM) to clarify its role in the pathogenesis of PM and DM. We performed non-radioactive in situ hybridization studies for TNF-α combined with immunohistochemistry for cell type-specific markers on muscles from ten PM and five DM patients. TNF-α-positive infiltrating cells present in the endomysium and perimysium were found in all PM and DM muscles. The frequency of TNF-α-positive cells against total infiltrating cells was similar among PM and DM (27.1 ± 7.4% in PM and 28.5 ± 13.6% in DM). However, TNF-α/CD8-positive lymphocytes and TNF-α-positive macrophages invading the non-necrotic muscle fiber were observed only in PM but not in DM. TNF-α was more highly expressed in PM and DM than was previously thought, and it was suggested that TNF-α plays a role in muscle fiber degeneration in PM.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004010051165
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  • 2
    Electronic Resource
    Electronic Resource
    Intertwined isospectral potentials in an arbitrary dimension (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 3344-3360 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The method of intertwining with n-dimensional (nD) linear intertwining operator L is used to construct nD isospectral, stationary potentials. It has been proven that the differential part of L is a series in Euclidean algebra generators. Integrability conditions of the consistency equations are investigated and the general form of a class of potentials respecting all these conditions have been specified for each n=2, 3, 4, 5. The most general forms of 2D and 3D isospectral potentials are considered in detail and construction of their hierarchies is exhibited. The followed approach provides coordinate systems which make it possible to perform separation of variables and to apply the known methods of supersymmetric quantum mechanics for 1D systems. It has been shown that in choice of coordinates and L there are a number of alternatives increasing with n that enlarge the set of available potentials. Some salient features of higher dimensional extension as well as some applications of the results are presented. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1383787
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  • 3
    Electronic Resource
    Electronic Resource
    Two families of superintegrable and isospectral potentials in two dimensions (2002)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 43 (2002), S. 2133-2150 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: As an extension of the intertwining operator idea, an algebraic method which provides a link between supersymmetric quantum mechanics and quantum (super)integrability is introduced. By realization of the method in two dimensions, two infinite families of superintegrable and isospectral stationary potentials are generated. The method makes it possible to perform Darboux transformations in such a way that, in addition to the isospectral property, they acquire the superintegrability preserving property. Symmetry generators are second and fourth order in derivatives and all potentials are isospectral with one of the Smorodinsky–Winternitz potentials. Explicit expressions of the potentials, their dynamical symmetry generators, and the algebra they obey as well as their degenerate spectra and corresponding normalizable states are presented. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1463217
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