BIEN 225 Syllabus

 

BIEN 225: Biomedical Systems. 0-3-3. Preq. ENGR 221 and credit or registration in Math 244.

Analysis techniques for frequency and time domain signals that occur in linear and non-linear physiological

systems. Lumped modeling of physiological phenomena.

 

Topics:


 


1.         Course Policies

2.         Introduction to MatLab

3.         Vascular Impedance

4.         Pspice

5.         Laplace Domain

6.         Cardiac output measurement

7.         Generalized Functions (step and d)

8.         Fourier Series

9.         Linearity

10.     Nitric Oxide Transport

11.     Non-linearity

12.     Modeling of Data

13.     Oxygen saturation curves

14.     Superposition

15.     Transfer Functions

16.     Muscle length-force

17.     Vector Representations of Signals

(Magnitude and Phase)

18.     Bode plots

19.     Resonance

20.     Operational Amplifiers


 

Reading Assignments

 

On This Date

 

You Must Have Read These Sections

 

And Completed These Problems

 

 

9/7

None. (Introduction to Course, Policies, MatLab)

None

1

 

9/10

Matlab Tutorial & Ch. 1 of Karu (Intro to Signals)

Ch 1 of Hsu (Signals and Systems)

 

2

 

9/12

Karu, Ch. 2 and Appendix A2 (Systems & Review of Linear Circuits)

Hsu: 1.1, 1.4, 1.6, 1.7, 1.8, 1.9, 1.10, 1.19

 

9/14

Karu, Ch. 3 (Frequency Domain)

Handout on Duality (Lewis & Yang, pp. 13-19)

Vascular, Acoustic and Mechanical Impedance

Problems in MatLab Tutorial

 

9/17

Karu, Chapter 4 (Laplace Transforms)

Hsu, Chapter 3 pp. 110-119 (Laplace Transforms)

 

Forward Laplace Transforms

3

 

9/19

Karu, Appendix A5 (Partial Fraction Expansions)

Hsu, Chapter 3, pp. 119-127

Handout: 2 page summary on Partial Fractions

Handout on Generalized Functions

Reverse Laplace Transforms

 

9/21

Handout on Pspice

Hsu, Appendix A (Review of Matrix Theory)

 

 

9/24

Handout on Cardiac Output Measurement

Hsu, Appendix D (Useful Mathematical Formulas)

CO Measurement

 

 

 

 

9/26

First Exam

None

4

 

9/28

Karu, Chapter 9, Generalized Functions

Handout: Solutions to Differential Equations

Handout on LRC Circuit

 

10/1

 

Problems in Linearity

5

 

10/3

Hsu, Chapter 2 (Linear Time-Invariant Systems) Karu, Ch. 10 (The Impulse Response and Convolution)

 

 

10/5

Karu, Ch. 14 (Causality and Stability)

Handout on Linearity

 

 

10/8

Handout: Transport of Platelet-Synthesized Nitric Oxide

 

6

 

10/10

Hsu, Ch. 5 (Through p. 219), Karu, Ch. 20 (Fourier Series), Appendix A7 (Sequences and Series)

 

 

10/12

Handout: Superposition

 

 

10/15

Second Exam

None

7

 

10/17

Handout on Non-Linearity

 

 

10/19

Handout: Oxygen Saturation Curves

 

 

10/22

Hsu, Ch. 7 (State Space Analysis), Karu, Ch. 5 (CT Systems Analysis, Transfer Functions)

 

8

 

10/24

Handout: Muscle Length-Force Relationships

 

 

10/26

Handout: Linearizing Non-Linear Relationships

 

 

10/29

Handout: Vector Representations of Signals

 

9

 

10/31

Karu, Appendix A1 (Complex Numbers) and

Hsu, Appendix C (Rev. of Complex Numbers) & Handout on Complex Variables

 

 

11/2

Karu, Ch.6 (And Handouts), Bode Plots

Karu, Appendix A7 (Logarithms)

 

 

11/5

Hsu, Ch. 5 (p. 219 231) Karu, Ch. 17 (Filters, Resonance)

 

10

 

11/7

Handout: Operational Amplifiers

 

 

11/9

Handout: Frequency Response of the Ear

 

 

11/12

Final Exam

None

11

 

11/14

Bonus Point Opportunities, Summary

None

 

Steven A. Jones

Biomedical Systems, Louisiana Tech University