The growth of microbes in a chemostat was described by (11.77). Using the notation of
Chapter 11, Problem 59(choose chapter or problem)
The growth of microbes in a chemostat was described by (11.77). Using the notation of that equation, together with the relationship q(s) = vms Km + s we will investigate how the substrate concentration s in equilibrium depends on D, the rate at which the medium enters the chemostat. (a) Assume that the microbes have a positive equilibrium density. Find the equilibrium concentration s algebraically. Investigate how the rate D affects s. (b) Assume that the microbes have a positive equilibrium density. Sketch a graph of q(s), and explain how you would determine s graphically. Use your graph to explain how the rate D affects s.
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