BME 233 Dynamic Systems in Biology and Medicine (2013-2014)

BME 233 Dynamic Systems in Biology and Medicine

(Not required for any major. Elective for BME-G.)
Catalog Data:

BME 233 Dynamic Systems in Biology and Medicine (Credit Units: 4) Introduces elements of system theory and application of these principles to analyze biomedical, chemical, social, and engineering systems. Students use analytical and computational tools to model and analyze various dynamic systems such as population dynamics, Lotka-Volterra equation, etc. graduate only. (Design units: 0)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0738204536.

. Edition, , 1969, ISBN-13 978-0691125893.

Recommended Textbook:
None
References:

None.

Coordinator:
Zoran Nenadic
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:

1. Be able to describe the elements of system theory and apply these principles to analyze biomedical, chemical, social and engineering systems

2. Be able to use analytical and computational tools to model and analyze various dynamic systems

Prerequisites by Topic

Basic understanding of differential equations, complex numbers, infinite sequences and series. Basic knowledge of linear algebra, such as systems of algebraic equations, vectors and matrices. MATLAB or programming language of choice necessary for computer exercises.

Lecture Topics:
  • Basic definitions of systems, system variables (inputs, outputs, states, parameters), and models
  • Taxonomy of systems and model; Input-output and state-space models
  • Linear time-invariant systems; impulse response; convolution; Laplace Transform
  • Transfer function; Frequency response; Feedback and Control
  • Nonlinear systems
  • Equilibrium states, Phase portrait; Isoclines; Periodic orbits
  • Stability; Attractors; Linearization
  • Poincare-Bendixson Theorem
  • Fast-slow systems and singular perturbation theory
  • Elementary bifurcation theory
Class Schedule:

Meets for 3 hours of lecture each week for 10 weeks.

Computer Usage:

MATLAB or programming language of choice.

Laboratory Projects:

None.

Professional Component

None.

Design Content Description
Approach:

None.

Lectures:
Laboratory Portion:
Grading Criteria:
  • Homework: 30%
  • Midterm(s): 30%
  • Final: 40%
  • Total: 100%
Estimated ABET Category Content:

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units

Prepared:
July 11, 2012
Senate Approved:
January 23, 2007
Approved Effective:
2007 Fall Qtr