Introduction to Mathematical Neurophysiology

A series of five lectures for the
Fields Institute Summer School
Introduction to Mathematical Medicine
held at the University of Waterloo, July 21-26, 2003



FRONTMATTER
Title page, list of lectures, key references

PART I
Introduction: some terminology, some history, and the biophysics of the cell membrane

PART II
Modelling electrical activity: the Hodgkin and Huxley formalism

PART III
The geometry of excitability and oscillatory behaviour: phase plane analysis and toy models

PART IV
Intercellular communication: the construction of networks of electrically excitable cells

PART V
Introduction to bursting oscillations


Related XPPAUT Codes

The following files contain code for reproducing a number of the figures shown in the lectures with the software XPPAUT.  Knowledge of XPPAUT is assumed, and instructions below to reproduce the figures are minimal.  XPPAUT can be downloaded for free from the XPPAUT website.  Tutorial information can be found there as well.

hh-vnew-impulse.ode

fhn.ode hh-vnew-bif.ode ml-parsetA.ode ml-parsetB.ode NOTE the source for the following ml***.ode files: Electronic support pages for the Computational Cell Biology book.

ml143a.ode

ml143b.ode ml152a.ode, ml152c.ode ml156.ode ml158a.ode, ml158b.ode