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This expression will approximate the batch growth curve after the lag phase. The exponential phase occurs when S ^ Ks, so that m « p. As substrate is depleted, m decreases and the culture enters the declining growth rate phase. Once m ~ b, then mn ~ 0 and the culture enters stationary phase. Finally, as S decreases further, m < b, so that mn < 0 and the decay phase occurs. An example is shown in Figure 11.24.

Example 11.8 If p — 10day-1, Ks — 5 mg/L, and b — 0.05day-1, at what substrate concentration will net growth equal zero? Answer

If the substrate concentration falls below this value, the culture will be in the endogenous phase.

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