Lecture 13

The Morris-Lecar Phase Plane – Type 1 vs 2 excitability and oscillations

Required Reading

  • Type 1 Excitability And Oscillations (SNIC and SHO bifurcations). Chapter 18 of Cellular Biophysics and Modeling: A primer on the systems biology of excitable cells.

Fall 2025 Recorded Lecture (2 parts)

Fall 2025 Slides

Further Reading

  • Ermentrout & Terman 2010 (Chapter 3 Dynamics, especially pp. 49-63, that is, Sections 3.1 to 3.4). This book chapter discusses the Morris-Lecar model, phase plane and linear stability analysis, excitability, oscillations, and bifurcation analysis (e.g., the Hopf bifurcation, saddle-node on a limit cycle bifurcation, and saddle homoclinic bifurcation). [Readings]