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Enzyme A catalyzes the conversion of substrate S to product P.  When enzyme A is phosphorylated, its kcat value changes from 10 s−1 to 5 s−1 and its KM value changes from 100 μM to 20 μM.  If equal concentrations of each enzyme form are used then compared to the unphosphorylated enzyme A, the phosphorylated form:A.has a higher catalytic efficiency and yields a faster reaction rate when [S] < 20 μM.B.has a higher turnover number and yields a faster reaction rate under saturating conditions.C.has a lower affinity for S and yields a slower reaction rate at all [S].D.is allosterically inhibited and yields a lower reaction rate at all [S].

Question

Enzyme A catalyzes the conversion of substrate S to product P.  When enzyme A is phosphorylated, its kcat value changes from 10 s−1 to 5 s−1 and its KM value changes from 100 μM to 20 μM.  If equal concentrations of each enzyme form are used then compared to the unphosphorylated enzyme A, the phosphorylated form:A.has a higher catalytic efficiency and yields a faster reaction rate when [S] < 20 μM.B.has a higher turnover number and yields a faster reaction rate under saturating conditions.C.has a lower affinity for S and yields a slower reaction rate at all [S].D.is allosterically inhibited and yields a lower reaction rate at all [S].

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Solution

The correct answer is A. The phosphorylated form of enzyme A has a higher catalytic efficiency and yields a faster reaction rate when [S] < 20 μM.

Here's why:

Catalytic efficiency is a measure of how efficiently an enzyme converts substrates into products. It is calculated as the ratio of kcat/KM.

For the unphosphorylated enzyme A, the catalytic efficiency is 10 s−1 / 100 μM = 0.1 μM−1s−1.

For the phosphorylated enzyme A, the catalytic efficiency is 5 s−1 / 20 μM = 0.25 μM−1s−1.

So, the phosphorylated form of enzyme A has a higher catalytic efficiency.

When the substrate concentration [S] is less than KM, the reaction rate is approximately proportional to [S]. Since the KM of the phosphorylated enzyme A is lower (20 μM), it will reach its maximum reaction rate at a lower [S] compared to the unphosphorylated form. Therefore, when [S] < 20 μM, the phosphorylated form of enzyme A will yield a faster reaction rate.

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