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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 136 (1993), S. 313-326 
    ISSN: 1432-1424
    Keywords: Ca,Mg-ATPase ; Erythrocytes ; Ca2+activation ; Detergents ; Thermal inactivation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Abstract The calcium pump of human red cells can be irreversibly activated by preincubation of the membranes in the presence of calcium ions, with a pattern reminiscent of that produced by controlled trypsin attack. With 1 mm Ca2+, the activity of the basal enzyme increases three to fourfold over 30 to 60 min, to levels about half those obtained in the presence of calmodulin. On the whole, the effect occurs slowly, with a very low Ca2+ affinity at 37°C and is unaffected by serine-protease inhibitors. The activation caused by 1 mm Ca2+ is little affected by leupeptin (a thiol-protease inhibitor) and that obtained at 10 μ m Ca2+ is not inhibited. Preincubations at 0°C also lead to activation, to a level up to half that seen at 37°C, and the effect is not affected by leupeptin or antipain. No activation is observed by preincubating soluble purified Ca,Mg-ATPase in Ca2+-containing solutions at 37°C. Instead, calcium ions protect the detergent-solubilized enzyme from thermal inactivation, the effect being half-maximal between 10 and 20 μ m Ca2+. We conclude that the activation of the membrane-bound Ca,Mg-ATPase by Ca2+ should result from an irreversible conformational change in the enzyme and not from attack by a membrane-bound protease, and that this change presumably arises from the release of inhibitory particles existing in the original membrane preparations.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 73 (1992), S. 101-120 
    ISSN: 1573-2878
    Keywords: Marginal function ; differential stability ; generalized gradients ; tangent cones ; exact penalty functions ; constraint qualifications
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, upper and lower bounds are established for the Dini directional derivatives of the marginal function of an inequality-constrained mathematical program with right-hand-side perturbations. A nonsmooth analogue of the Cottle constraint qualification is assumed, but the objective and constraint functions are not assumed to be differentiable, convex, or locally Lipschitzian. Our upper bound sharpens previous results from the locally Lipschitzian case by means of a subgradient smaller than the Clarke generalized gradient. Examples demonstrate, however, that a corresponding strengthening of the lower bound is not possible. Corollaries of this work include general criteria for exactness of penalty functions as well as information on the relationship between calmness and other constraint qualifications in nonsmooth optimization.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 80 (1994), S. 551-571 
    ISSN: 1573-2878
    Keywords: Strict local minimizers of orderm ; optimality conditions ; C 1,1 functions ; tangent cones ; weak sharp local minimizers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In nonlinear programming, sufficient conditions of orderm usually identify a special type of local minimizer, here termed a strict local minimizer of orderm. In this paper, it is demonstrated that, if a constraint qualification is satisfied, standard sufficient conditions often characterize this special sort of minimizer. The first- and second-order cases are treated in detail. Necessary conditions for weak sharp local minima of orderm, a larger class of local minima, are also presented.
    Type of Medium: Electronic Resource
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