Problem 1- QSSA and Separation of Timescales (25 pts) (a) Using Matlab, demonstrate how the Quasi-Steady-State Assumption improves steady-state approximations of an open system. Using: Replicate the results in Figure 2.13 (page 45) and Figure 2.14 (page 47)- the parameter values can be found in the figure captions (b) Using the replication of 2.14, show how the experiment's sampling time relates to the time constant of the process. For example, change the sampling time of your model to: 0.01 seconds 0.5 second 2 seconds In your plots for part (b), only show the trace for b(t _a (original model) b (original model) -- (reduced model) b (reduced model) 0.5 1.5 Time (arbitrary units) 2.5 Figure 2.13: Rapid equilibrium approximation for network (2.24). Model (2.25) is used to approximate the full model for network (2.24). Parameter values (in time-1) are ko = 5, k1 = 20, k-1 = 12, and k2 = 2. There is a persistent error in the approximation for [A], caused by the fact that the conversion reaction does not settle to equilibrunn in steady state. Initial conditions are a(0) 8. b(0-4 (and so c(0-12) Problem 1- QSSA and Separation of Timescales (25 pts) (a) Using Matlab, demonstrate how the Quasi-Steady-State Assumption improves steady-state approximations of an open system. Using: Replicate the results in Figure 2.13 (page 45) and Figure 2.14 (page 47)- the parameter values can be found in the figure captions (b) Using the replication of 2.14, show how the experiment's sampling time relates to the time constant of the process. For example, change the sampling time of your model to: 0.01 seconds 0.5 second 2 seconds In your plots for part (b), only show the trace for b(t _a (original model) b (original model) -- (reduced model) b (reduced model) 0.5 1.5 Time (arbitrary units) 2.5 Figure 2.13: Rapid equilibrium approximation for network (2.24). Model (2.25) is used to approximate the full model for network (2.24). Parameter values (in time-1) are ko = 5, k1 = 20, k-1 = 12, and k2 = 2. There is a persistent error in the approximation for [A], caused by the fact that the conversion reaction does not settle to equilibrunn in steady state. Initial conditions are a(0) 8. b(0-4 (and so c(0-12)