Show the derivation for the ping pong case - derive the

Question

Show the derivation (Rapid Equilibrium) for the Ping Pong case.

Each of the sides of the "square model" looks like:

E + A <===> E'P

E'P ---> E' + P

E' + B <===> EQ

EQ ---> E + Q

Derive the equation and analyze how the Vmax and Km for A will look like and how those two parameters will depend on B.

In a double reciprocal plot, 1/V vs 1/A, how will the curves change in function of B?