## Info

These expressions predict that there will be a common intersection point in a double reciprocal plot. In plotting 1/v versus 1/[A], the xy-coordinate of this point-of-convergence is (-1/Kia, [1/Vmax,f][1 - (K/Kia)]), where Vmax,f represents the maximum velocity in the forward reaction. In Dalziel format, this coordinate is (—FB/FAB, F0 — [FAFB/FAB]). Notice that the intersection point will be in the second quadrant if Kia < Ka, the third quadrant if Kia > Ka, and on the horizontal axis if Kia = Ka. In other words, for these mechanisms, if the intersection point is on the horizontal axis, the Michaelis constant for A is numerically equal to the dissociation constant for A. Analogously, the intersection point in the 1/v versus 1/[B] plot is (—Ka/(KiaKb), [1/Vmax] [1 — Ka/Kia]) or ((—Fa/Fab), F0 — [FaFb/Fab]). It is worth noting that the 1/v coordinate is the same in both the 1/[A] and 1/[B] plots, an important criterion of these reaction schemes. These same characteristics apply to the reverse reaction. That is, a plot of 1/v versus 1/[Q] will have a point-of-convergence at (—1/Kiq, [1/Vmax,r][1 — (Kq/Kiq)]), where Vmax,r is the maximum velocity of the reverse reaction.

To illustrate this point, let us consider the standard Theorell-Chance Bi Bi mechanism (Scheme 6.35): 