Question

Kinetic Properties of a Key Enzyme of Prostaglandin Synthesis

Prostaglandins are derived from the 20-carbon fatty acid arachidonic acid in a reaction catalyzed by the enzyme prostaglandin endoperoxide synthase. The enzyme converts arachidonic acid to PGG₂, the immediate precursor for many prostaglandins. The table below show the result of enzyme activity with or without an inhibitor, ibuprofen.

You need first to determine the V_max and K_m, with and without the inhibitor, and then determine which type of inhibitor Ibuprofen is.   The data given here makes it does not afford convenient assessment of V_max and K_m by conventional Michaelis Menten graph (since saturation is not reached under the experimental conditions). Therefore, a Lineweaver-Burke analysis is required. Fill the table with the reciprocal values. The results then are to be drawn as a non-logarithmic graph (next page).

[S], mM (arachidonic acid)	1/[S]	Vo, mM/min (rate of PGG2 formation)	1/Vo	Vo(Ib), mM/min (with ibuprofen)	1/Vo(Ib)
0.5		23.5		16.67
1.0		32.2		25.25
1.5		36.9		30.49
2.5		41.8		37.04
3.5		44.0		38.91

Please show the equation on how to find the 1/[s], the 1/Vo and the 1/Vo[Ib] in the chart. Thank you

Answer 1