Lecture 12

The Fitzhugh Nagumo Model, Linear Stability Analysis, and the Trace-Determinant Plane

Required Reading


What would Griffin do?


Depolorizing pulse:


Hyperpolarizing pulse:


Oscillations:


Required Watching

  • The trace-determinant diagram 

Fall 2025 Slides

Optional Reading and Resources 

  • Excitable Systems and the Fitzhugh-Nagumo Equations. Sections 11.1-11.4 (pp. 227-241) of A Primer on Mathematical Models in Biology by Leah Edelstein-Keshet and Lee Segel. [PDF]
  • Fitzhugh’s classic paper (1961). [PDF]