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Feedback control for a metabolic pathway 
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#1
Apr206, 01:47 PM

P: 908

I'm having a problem setting up a certain differential equation which I need to solve a problem. Here's the problem: I'm given a feedback control for a certain metabolic pathway. I've attached a picture of the network below.
Now what I can't figure out is how to write the differential equation which governs the amount that accumulates at any particular node. It says that the reactions, except for the first one, obey a firstorder rate law, and that all the rate constants are proprtional. But is the time derivative of S1 equal to f(Sn), or is it equal to f(Sn)  kS2? Also, in general, should I find the time derivative of each Sn by subtracting the incoming and outgoing rates? I'd appreciate any help that anyone can give me. Thanks. 


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