This is yet another variation on the chemostat. Suppose that there is a membrane that filters the
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Question:
This is yet another variation on the chemostat. Suppose that there is a membrane that filters the outflow, so that the microorganism never flows out (only the nutrient does). Assume, however, that the microorganism dies at a certain rate µN.
(a) Write down a model, assuming K(C) is Michaelis-Menten.
(b) Find a change of variables that leads to a system with three parameters as follows:
dN / dt = a1( C / C + 1)N -a3N
dC / dt = -( C / C + 1)N -C + a2
[Notes: “a=alpha”]
Expert Answer:
a Our model is as follows dNdt a1CC1N a3N dCdt CC1N C a2 where a1 the rate of microorganism growth a... View the full answer
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