Two enzymes, E1 and E2, respectively catalyze the conversion of A to B, and B to C in two reactions in series. r1 and r2 denote reaction rates. Both reactions follow Michaelis-Menten kinetics. Rm and Km for E1 and E2 are 5 mmol/(L*s), 2.5 mM, and 10 mmol/(L*s), 0.1 mM, respectively. Reaction rate is based on the cellular volume. The product, C, is then secreted out of the cell. (a) At a steady-state, the cell converts 2 mmol/(L*s) of A to C. What are the intracellular concentrations of A and B? (b) Now, the supply rate of A is increased to 4 mmol/(L*s), but E1 and E2 remain at same levels. What are the new concentrations of A and B?

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Two enzymes, E1 and E2, respectively catalyze the conversion of A to B, and B to C in two reactions in series. r1 and r2 denote reaction rates. Both reactions follow Michaelis-Menten kinetics.
Rm and Km for E1 and E2 are 5 mmol/(L*s), 2.5 mM, and 10 mmol/(L*s), 0.1 mM, respectively. Reaction rate is based on the cellular volume. The product, C, is then secreted out of the cell.

(a) At a steady-state, the cell converts 2 mmol/(L*s) of A to C. What are the intracellular concentrations of A and B?

(b) Now, the supply rate of A is increased to 4 mmol/(L*s), but E1 and E2 remain at same levels. What are the new concentrations of A and B?

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