Prostaglandins are one class of the fatty acid derivatives called eicosanoids. Prostaglandins produce fever and inflammation, as well as the pain associated with inflammation. The enzyme prostaglandin endoperoxide synthase, a cyclooxygenase, uses oxygen to convert arachidonic acid to PGG2, the immediate precursor of many different prostaglandins. Ibuprofen inhibits prostaglandin endoperoxide synthase, thereby reducing inflammation and pain. The kinetic data given in the table are for the reaction catalyzed by prostaglandin endoperoxide synthase in the absence and presence of ibuprofen. [??????????? ????][Arachidonic acid] (??)(mM) Rate of formation of PGG2 (?? ???−1)(mM min−1) Rate of formation of PGG2 with 10 ??/??10 mg/mL ibuprofen (?? ???−1)(mM min−1) 0.5 23.5 16.67 1 32.2 25.25 1.5 36.9 30.49 2.5 41.8 37.04 3.5 44.0 38.91 Based on the data, determine the ?max and the ?m of the enzyme

Biochemistry
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Chapter1: Biochemistry: An Evolving Science
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Prostaglandins are one class of the fatty acid derivatives called eicosanoids. Prostaglandins produce fever and inflammation, as well as the pain associated with inflammation. The enzyme prostaglandin endoperoxide synthase, a cyclooxygenase, uses oxygen to convert arachidonic acid to PGG2, the immediate precursor of many different prostaglandins.

Ibuprofen inhibits prostaglandin endoperoxide synthase, thereby reducing inflammation and pain. The kinetic data given in the table are for the reaction catalyzed by prostaglandin endoperoxide synthase in the absence and presence of ibuprofen.

[??????????? ????][Arachidonic acid]
(??)(mM)
Rate of formation of PGG2
(?? ???−1)(mM min−1)
Rate of formation of PGG2 with 10 ??/??10 mg/mL ibuprofen
(?? ???−1)(mM min−1)
0.5 23.5 16.67
1 32.2 25.25
1.5 36.9 30.49
2.5 41.8 37.04
3.5 44.0 38.91


Based on the data, determine the ?max and the ?m of the enzyme.

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