Zero-growth rate behavior

Limiting, Non-Zero Growth Rate Behavior. One of the most generally applicable growth rate expressions, developed for either kink, step, or ledge adsorption, is given as (Bliznakov 1959, 1965)... 

Other simpler models that predict limiting, zero-growth rate behavior have been developed. Davey and Mullin (1974), and Davey (1976) derived an expression specifically related to ledge adsorption, assuming that adsorbed impurities reduce the surface flux of growth units to steps... 

The ability of Monod s empirical relation to fit kinetic data for biochemical reactions has its foundations in generalizations of two phenomena frequently observed for fermentation processes (1) nature places a cap on the quantity of microorganism that can be achieved during the exponential phase of growth in a bioreactor operating in a batch mode and (2) as the concentration of the limiting substrate approaches zero, the rate laws for biochemical reactions approach pseudo-first-order behavior with respect to that substrate. The cap indicated on the cell growth rate has been associated with the natural limit on the maximum rate at which replication of DNA can be achieved. 

II to phase III is characterized by the onset of ammonia limitation. A similar behavior of the cultivation can be observed, when with increasing biomass concentration the specific growth rate comes closer to the compensation point and energy (hght) consumption is used more and more for maintenance purposes. Growth is further reduced reaching finally zero in phase... 

Next, we employ the model to simulate the stress behavior when a sudden constant shear rate is applied to an entangled network for different lengths of time during the transient stress growth period and then brought to zero. The rates of subsequent stress relaxation are expected to be considerably different for different shear histories. Figure 7 shows calculated results using the same model parameters. The predicted behavior has indeed been observed by Trapeznikov and Pylaeva (14). 

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