Thus, the reader may wish to consult Chapter 3 again. Another interesting case is to consider biofilms where we allow cell growth. Models for immobilized enzymes have no terms for biocatalyst replication, so this case presents a new problem. The thickness of a biofilm or the size of microbial floc increases with time during the growth phase.
A microbial floc is an aggregation of many cells, and in some processes these aggregates can be more than 1 mm in diameter. However, since the rate of increase in biofilm thickness is much slower than the rate of substrate uptake, the system can be assumed to be at quasi-steady state for relatively short periods. The simplest case is to assume that the system is at quasi-steady state and all the cells inside the biofilm are in the same physiological state. In this situation we write a steady-state substrate bal- ance within the biofilm by using average kinetic constants for the biotic phase living cells.
A differential material balance for the rate-limiting substrate within the biofilm see Fig. Keep your competitive edge With Rough Cuts, get access to the developing manuscript and be among the fi rst to learn the newest technologies.
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