Figure 2
From: Invariance and optimality in the regulation of an enzyme
Optimal enzyme profiles for the cost functional defined in Eq. ( 10 ) . The boundary conditions were chosen to be E0 = E f = 1 μM, and Ē = 3 μM, based on substrate parameters S 0 = 15 μM, S f = 2.4 μM, k 2 =1000 sec-1, k- 1 = 1000 sec-1, k 1 = 2 μM-1sec-1, K M = 1000 μM, Δt = 0.6 sec. In inset, different lines correspond to different values of α: solid line (α1 = α2 = 0.933, α3 = .067), circles (α1 = α2 = 0.981, α3 = .019) and crosses (α1 = α2 = 0.998, α3 = .002). For the trajectory with the fastest rate of change of enzyme (α1 = α2 = 0.998, α3 = .002), δ = 226, t E ~ .01 sec, t C = .5 msec.