In the past, Type-1 diabetes patients had to inject themselves with insulin three to four times a
Question:
In the past, Type-1 diabetes patients had to inject themselves with insulin three to four times a day. New delayed-action insulin analogues such as insulin Glargine require a single daily dose. A similar procedure to the one described in the Pharmaceutical Drug Absorption case study of this chapter is used to find a model for the concentration-time evolution of plasma for insulin Glargine. For a specific patient, state space model matrices are given by
where the state vector is given by
The state variables are
x1 = insulin amount in plasma compartment
x2 = insulin amount in liver compartment
x3 = insulin amount in interstitial (in body tissue) compartment
The system’s input is u = external insulin flow.
The system’s output is y = plasma insulin concentration.
a. Find the system’s transfer function.
b. Verify your result using MATLAB.
Step by Step Answer:
ANSWER a To find the transfer function we can use the standard formula Gs CsI A1B D where s is the L...View the full answer
