Competing growth of micro-organisms
The model that I have in mind here is based on the work of Gregory Stephanopoulos and Fredrickson (as an aside Gregory Stephanopoulos is the brother of my advisor George Stephanopoulos). The equations are represented in Aris's book "Mathematical Modeling A chemical engineer's perspective."
In this case the x1 and x2 are the competing population concentrations, V is the volume of the reactor, q is the flowrate, s is the substrate concentration and sf is the feed concentration. m1 and m2 are the growth rates,Y1 and Y2 are the yield factors of the two organisms.
Please post your own thoughts here:
Note that the linearization of this problem was the question for the first quiz. Thus a quick an easy piece of extra-credit would be to post the linearization derivation that you already have.
Since no one has done this yet, it is a start on me realizing at the last minute extra credit would help:
- The linearization and deviation of the above modeled equations is respectively:
Mary B.
That's a start but there appears to be a "bug" - the feed concentration has gone away ! In this problem we need to keep the feed concentration of substrate as a variable. I think that this is an easy correction to make.
i have done the first quiz and the linearization and deviation is a load of crap
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