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.

8.

9.         Linearity

10.     Nitric Oxide Transport

11.     Non-linearity

12.

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

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