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  • 1
    ISSN: 1573-5036
    Keywords: Al stress ; Ca2+ ; H+ pump ; K+ efflux ; low pH
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Abstract H+-ATPase activity of a plasma membrane-enriched fraction decreased after the treatment of barley (Hordeum vulgare) seedlings with Al for 5 days. A remarkably high level of Al was found in the membrane fraction of Al-treated roots. A long-term effect of Al was identified as the repression of the H+-ATPase of plasma membranes isolated from the roots of barley and wheat (Triticum aestivum) cultivars, Atlas 66 (Al-tolerant) and Scout 66 (Al-sensitive). To monitor short-term effects of Al, the electrical membrane potentials across plasma membranes of both wheat cultivars were compared indirectly by measuring the efflux of K+ for 40 min under various conditions. The rate of efflux of K+ in Scout was twice that in Atlas at low pH values such as 4.2. Vanadate, an inhibitor of the H+-ATPase of the plasma membrane, increased the efflux of K+. Al repressed this efflux at low pH, probably through an effect on K+ channels, and repression was more pronounced in Scout. Al strongly repressed the efflux of K+ irrespective of the presence of vanadate. Ca2+ also had a repressive effect on the efflux of K+ at low pH. The effect of Ca2+, greater in Scout, might be related to the regulation of the net influx of H+, since the effect was negated by vanadate. The results suggest that extracellular low pH may cause an increase in the influx of H+, which in turn is counteracted by the efflux of K+ and H+. These results suggest that the ability to maintain the integrity of the plasma membrane and the ability to recover the electrical balance at the plasma membrane through a net influx of H+ and the efflux of K+ seem to participate in the mechanism of tolerance to Al stress under acidic conditions.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 87 (1995), S. 679-701 
    ISSN: 1573-2878
    Keywords: Economic equilibria ; stationary point problems ; simplicial algorithms ; simplicial subdivisions ; adjustment processes ; piecewise linear approximations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a new variable-dimension simplicial algorithm is developed to compute economic equilibria on the Cartesian product of then-dimensional unit price simplexS n and them-dimensional production activity spaceR + m . The algorithm differs from other algorithms in the number of directions in which the algorithm may leave the starting point. More precisely, the algorithm has 2 n+m+1 –2 rays to leave the starting point, whereas the other algorithms have at most 2 m (n+1) rays. The path of points generated by the algorithm can be interpreted as a globally and universally convergent price and production adjustment process. The process as well as the convergence condition are much more natural and economically meaningful than the adjustment processes obtained by other simplicial algorithms. Furthermore, we apply the algorithm to economies with linear production, economies with constant returns to scale, and economies with increasing returns to scale.
    Type of Medium: Electronic Resource
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