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 (Tarín, 2007) -0.435 0.209 0.02 A = 0.268 -0.394 ; B= 0| 0.227 -0.02 C= [0.0003 0 0]; D=0 where the state vector is given by x = x2 The state variables are x = 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.

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 (Tarín, 2007) -0.435 0.209 0.02 A = 0.268 -0.394 ; B= 0| 0.227 -0.02 C= [0.0003 0 0]; D=0 where the state vector is given by x = x2 The state variables are x = 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.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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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 (Tarín, 2007)
-0.435
0.209
0.02
A =
0.268 -0.394
; B= |0
0.227
-0.02
C = [0.0003 0 o]; D=0
where the state vector is given by
x = x2
The state variables are
x = 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.

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