b1 F1 F2 Glycerol • Glycerol-phosphate DHAP ATP ADP NAD NADH F3 F8 АТР ADP Pyruvate F4 F7 F6 F5 b3 b2 Acetate + Ethanol - Acetaldehyde Acetyl-phosphate - NAD NADH NAD NADH ADP ATP (A) What pathway classically carries out the conversion of DHAP (dihydroxyacetone phosphate) into pyruvate? (B) Write down a balanced equation for that conversion, including NAD, NADH, ADP, ATP, Pi as appropriate. (C) Write down an equation for F4 as a function of pyruvate concentration using simple irreversible Michaelis-Menten kinetics. (D) Draw a plot for F4 versus pyruvate concentration based on your equation, clearly indicating Vmax and Km on the graph. Make sure to label the units on both the X and Y axes. (E) Write down differential equations for the rate of change of each metabolite shown in the diagram, with respect to time, as a function of the indicated fluxes F1 to F7. Note: Keep in mind the cofactors involved in the DHAP to pyruvate conversions. You don't need to consider d[phosphate]/dt. (F) Write down an equation in matrix form that defines the feasible steady-state fluxes in the network. (G) Assuming that the maximum value of b1 and b2 is 10 mol/min (b1< 10 mol/min, b2 < 10mol/min), what are the balanced fluxes that maximize the steady-state production rate of ethanol? The maximum ethanol production rate? Show your work.
b1 F1 F2 Glycerol • Glycerol-phosphate DHAP ATP ADP NAD NADH F3 F8 АТР ADP Pyruvate F4 F7 F6 F5 b3 b2 Acetate + Ethanol - Acetaldehyde Acetyl-phosphate - NAD NADH NAD NADH ADP ATP (A) What pathway classically carries out the conversion of DHAP (dihydroxyacetone phosphate) into pyruvate? (B) Write down a balanced equation for that conversion, including NAD, NADH, ADP, ATP, Pi as appropriate. (C) Write down an equation for F4 as a function of pyruvate concentration using simple irreversible Michaelis-Menten kinetics. (D) Draw a plot for F4 versus pyruvate concentration based on your equation, clearly indicating Vmax and Km on the graph. Make sure to label the units on both the X and Y axes. (E) Write down differential equations for the rate of change of each metabolite shown in the diagram, with respect to time, as a function of the indicated fluxes F1 to F7. Note: Keep in mind the cofactors involved in the DHAP to pyruvate conversions. You don't need to consider d[phosphate]/dt. (F) Write down an equation in matrix form that defines the feasible steady-state fluxes in the network. (G) Assuming that the maximum value of b1 and b2 is 10 mol/min (b1< 10 mol/min, b2 < 10mol/min), what are the balanced fluxes that maximize the steady-state production rate of ethanol? The maximum ethanol production rate? Show your work.
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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