Monod kinetics grow rate

Monod kinetics are considered in a CSTR with an organism growing with an initial substrate concentration of 50g-l 1 and kinetic parameters of Ks = 2g-l 1 and /Amax = 0.5lr. (a) What would be the maximum dilution rate for 100% yield of biomass with maximum rate (b) If the same dilution is used, what would be number of CSTRs in series ... 

The cell density X at any point within this layer can grow according to Monod kinetics. In addition, a first-order rate constant for cell death, d, is usually introduced net cell growth, which equals zero at steady state, is equal to the difference (/x, — d). (In other than shallow biofilms, /x is not independent of location as implied here, but varies with location in the biofilm.)... 

In the dynamics of any population, some members are bom, some members die, or some members simply grow en masse. In addition, in the absence of food, the population may cannibalize each other. The dynamics or kinetics of death and cannibalization may simply be mathematically represented as a mass decay of the population A [X, where is the rate of decay. Incorporating Monod s concept and the kinetics of death into Equation (87), the model for the net rate of increase of [X now becomes... 

Temperature affects the half-velocity constant Kj of the Monod equation. It also affects maximum growth rates. Growth rates for Nitrosomonas and Nitwbacter are affected differently by change in temperature. At elevated temperatures Nitrosomonas growth rates are accelerated while those of Nitrobacter are depressed. Nitrosomonas is, however, slow growing compared to Nitrobacter that the kinetics is controlled by Nitrosomonas. 

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