Swinburne University of Technology

School of Biophysical Sciences and Electrical Engineering

---

Physiological Modelling HET419

This subject examines, in detail, the use of mathematical modeling techniques for the characterization and comprehension of physiological systems. Dynamical systems theory, compartmental modeling and Markov models are typical methods that will be discussed. Specific applications of these methods will be seen in the context of neurophysiological modeling. See Course Outline for further details.

---

Lecture notes

• 1. Introduction to the cable equation
• 2. Introduction to the Hodgkin-Huxley equations
• 3. Markov channel kinetics
• 4. Attractor Neural Networks

Computer Laboratories

• 1. Introduction to MATLAB
• 2. Branched cylinders: dendritic tree approximations
• 3. Numerical solutions and properties of the Hodgkin-Huxley equations
  • Answer to E4
  • MATLAB source as a zip archive
• 4. Quasi-static approximations of the Hodgkin-Huxley equations

Problem Sheets

• 1. Problem Sheet 1 - Cable Equation
• 2. Problem Sheet 2 - Hodgkin-Huxley Equations
• 3. Problem Sheet 3 - Introductory Nonlinear Dynamics
• 4. Problem Sheet 4 - Nonlinear Differential Systems in 2-D

---

David Liley 2001-2004 (dliley@swin.edu.au)

picture by OliVia