3. [5 pts] Simulate the oral glucose tolerance test (OGTT) in N and D1 subjects. During the OGTT, a large amount of glucose is infused rapidly and the corresponding blood glucose

and insulin trajectories are tracked over a period of up to 5 hours. Assume the total amount of glucose infused is 25,000 mg and the infusion is carried out in the form of a bolus lasting 15 minutes (0.25 h), starting from t = 1 h. Plot the trajectories of blood glucose and insulin predicted by both models. To aid comparison across the 2 cases (N and D1), plot the glucose responses of both N and D1 cases using the same time- and glucose concentration axes i.e., there are two graphs in the top subplot for glucose concentration. Similarly, plot the insulin responses of both cases on the same axes. Label all axes and add a legend indicating which graph belongs to which case. You may plot these simulation results in MATLAB using the simulation results that are sent to the MATLAB Workspace. Report the values of blood glucose and insulin from your simulations: just before you impose the glucose challenge, and at times 1, 2 and 3 hours following the start of the challenge. Glucose concentration (mg/mL) Insulin concentration (mU/mL) D1 N D1 N Time Before OGTT Time = 1 hr Time = 2 hr Time = 3 hr