The MichaelisMenten law [Equation (11.76)] states that dp dt = vms Km + s where p = p(t)
Chapter 11, Problem 57(choose chapter or problem)
The MichaelisMenten law [Equation (11.76)] states that dp dt = vms Km + s where p = p(t) is the concentration of the product of the enzymatic reaction at time t, s = s(t) is the concentration of the substrate at time t, and vm and Km are positive constants. Set f (s) = vms Km + s where vm and Km are positive constants. (a) Show that lim s f (s) = vm (b) Show that f (Km) = vm 2 (c) Show that, for s 0, f (s) is (i) nonnegative, (ii) increasing, and (iii) concave down. Sketch a graph of f (s). Label vm and Km on your graph. (d) Explain why we said that the reaction rate dp/dt is limited by the availability of the substrate.
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