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quiz02_f06 - 10.34 Quiz 2 An isomerase(an enzyme that...

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10.34 Quiz 2 November 15, 2006 An isomerase (an enzyme that catalyzes an isomerization reaction) is used to convert a cheap unpalatable substrate S into its isomer, a delicious high-value product P called fructose (used to make soft drinks and candy). The enzyme reaction is expected to follow the Michaelis-Menton rate law: [ ] [ ] [ ] [ ] sec eq E m m P S K moles S P R n V K S = = + Eq.(1) where V m and K m depend on the enzyme, and K eq is for the equilibrium S=P, and n E is the moles of enzyme in the reactor. Note that throughout the isomerization process [S]+[P] = constant. We therefore suggest you use the dimensionless concentration C = [Substrate]/[Substrate] o rather than tracking S and P separately. 1) Simulate the batch conversion of S into P by writing a couple of short Matlab functions. Your Matlab functions should take [S] o , n E , V, Km, and Keq as inputs. Feel free to call any built-in Matlab functions.
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