Invariant density for a class of initial distributions under quadratic mapping

For the discrete-time quadratic map xt+1=4xt(1-xt) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.

Extracellular production of L-glutaminase by alkalophilic Beauveria bassiana BTMF S10 isolated from marine sediment

Beauveria sp. BTMF S10 isolated from marine sediment produced extracellular L-glutaminase. Maximal L- glutaminase yield (46.9 U/ml) was obtained in a medium supplemented with 1% (w/v) yeast extract and sorbitol, 9% (w/v) sodium chloride and 0.2% (w/v) methionine, initial pH 9.0 and at 27 °C after 108 h. This enzyme was inducible and growth-associated.