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