In this problem, you will model the transient phase of the enzyme-substrate reaction. S+E CP+E When the reaction first begins, we can assume that S=So is constant. This is a good assumption when S>>Eo and when conversion of S to P is slow, i.e. k2 <<k.1. a) Write the rate equation for the complex C. b) Derive an expression for the time dependent concentration of the complex C(t) in terms of ki, k-1, k2, So, and Eo. Assume that the concentration of C is zero at t=0. c) Sketch the solution C(t) vs. t d) Find C(t) at steady state, i.e. when t approaches infinity. Compare with the steady state solution that we derived in class. e) How long does it take the system to reach steady state? Assume that k-1 + k2 + kı So= 1000 sec, and that the system is essentially at steady state when the concentration is 99% of C at steady state.