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  • 1985-1989  (2)
  • 1975-1979  (1)
  • 65D07  (2)
  • Life and Medical Sciences  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 27 (1987), S. 374-388 
    ISSN: 1572-9125
    Keywords: 65D07 ; 65L05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper the general classV of spline-collocation methods for first order systems of ordinary differential equations is investigated. The methods can in part be regarded as so-called multivalue methods. This type contains the generalized singly-implicit methods treated by Butcher. It is shown here, how any multivalue type representative ofV yields a matrix valued functionψ, for the characterization of stability at infinity. It is shown in particular, that the structure ofψ allows us to construct infinity-stable methods by an appropriate choice of the collocation points.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    BIT 29 (1989), S. 295-310 
    ISSN: 1572-9125
    Keywords: 65L05 ; 65L20 ; 65D07 ; Ordinary differential equations ; collocation methods ; A-stability ; confluence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper the general classV of spline-collocation methods presented by Mülthei is investigated. The methods ofV approximate solutions of first order initial value problems. ClassV contains as subclass the methods of so-called multivalue type, and in particular contains the generalized singly-implicit methods treated by Butcher. Any multivalue type representativeU εV yields a matrix valued function Ω corresponding toU, which characterizes the region of absolute stability ofU. If a sequence (U(δ)) of multivalue type representatives ofV tending to some singlevalue type representative $$\tilde U$$ εV is considered, it can easily be seen by the structure of Ω, that the sequence of the greatest eigenvalues of the Ω(.,δ) tends to the stability function $$\tilde R$$ corresponding to $$\tilde U$$ . This fact allows one to construct one-parameter families of A-stable methods of multivalue type.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Cellular Physiology 95 (1978), S. 223-233 
    ISSN: 0021-9541
    Keywords: Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: Adsorption of Sendai virus at high multiplicity (500-1,000 HAU/106 cells) to HeLa cells grown in monolayers causes immediate changes in the ion barrier of the cell membrane, as well as changes in the morphology of the virus-treated cells. Within minutes of adsorption the cells begin to lose potassium and an extensive influx of ions into the cells occurs. Concomitantly with these changes, the cell membrane becomes depolarized, and the resting potential across its membrane decreases. Twenty to sixty minutes post adsorption the damage to the cell membrane is repaired, and both the potassium uptake and the resting potential return to their pre-exposure values. Scanning electron-micrographs of Sendai infected cells incubated at 37°C show formation of bridging microvilli in a zipper-like fashion within two to five minutes post-adsorption; 30 to 60 minutes thereafter the majority of cells in the monolayer are fused. Biochemical changes induced by virus adsorption and the role of Ca++ ions in the observed effects are discussed.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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