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Mathematical modeling is used to investigate the effect of the operating conditions [shelf temperature (Tshelf) and chamber pressure (Pc)] on product temperature (that has to remain below a limit value) and sublimation flux (that has to be lower than a level that would cause choked flow).
In fact, product temperature has to be maintained below a limit value throughout the operation, and the sublimation flux has to be lower than the maximum value allowed by the capacity of the condenser, besides avoiding choking flow in the duct connecting the drying chamber to the condenser.
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In addition they also examined the effect by using 55 dB as the threshold level, a level often used by authorities as a limit value below which no measures are taken to mitigate the noise [50].
It is concluded that the lowest possible pressure should be used in microwave freeze-drying, although pressures below a limiting value of 200 μm do not seem necessary.
A theory based on this insight predicts that 1), proteins with complex energy landscapes can fold reliably to their native state; 2), reliable folding can occur as an equilibrium or out-of-equilibrium process; and 3), reliable folding only occurs when the rate r is below a limiting value, which can be calculated from measurements of the free energy.
The experimental results show that the molecular weight or intrinsic viscosity of polymer melts decreased with ultrasonic irradiation time and approached a limiting value, below which no further degradation took place.
One of the major problems of this technology is the formation of undesired side products, i.e. ammonium and nitrite, both subject to a limiting value far below the admissible nitrate content.
As the air flow is decreased below a critical limit value, the reaction front becomes grate-stabilized.
For 15 of the 68 analytes considered (namely 13 fatty acids, furfural and sodium) all results (or, in one case, all but one) were below a given limit value.
Several studies were excluded because there was a greater percentage of below-detection limit values, because of high detection limits or because the measurements were taken from studies much earlier than our time criteria.
The detection limit for Zn2+ was estimated at 48.1 nM, which was below the threshold limit value of Zn2+ in drinking water (46 μM) according to World Health Organization.
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