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  • 1995-1999  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Letters in mathematical physics 49 (1999), S. 59-66 
    ISSN: 1573-0530
    Keywords: resonant Poisson structures ; singularities ; normal forms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We consider analytic Poisson tensors P whose associated Lie algebra at a singular point is resonant (in the sense of J. P. Dufour (J. Differential Geom. 30 (1990), 415–428)). We give sufficient conditions on the k-jet of P at the given point so that P is analytically linearizable.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Bioprocess engineering 19 (1998), S. 269-275 
    ISSN: 0178-515X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Notes: Abstract The mass balances to a spherical bead with increasing porosity, ɛ (obtained by plain expansion of an otherwise compact bead), containing an immobilized enzyme and surrounded by a stagnant film are developed in dimensionless form for the case of Michaelis-Menten kinetics by considering three alternative situations in terms of pore structure (either setting the pore number, the pore radius or the pore length as a constant). The pore pattern of the porous bead does not play a major role in the variation of the lowest concentration of substrate ever reached in the bulk of the bead, which increases as ɛ increases and eventually levels off when ɛ approaches unity. The ratio between the rate of reaction brought about by the immobilized enzyme within the porous bead and that obtained for a compact bead is greater when ɛ is higher, and a vertical asymptote is apparently reached when the porosity approaches unity, a trend that is similarly observed for all pore patterns considered.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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