Simulation of Two-Dimensional Conductance-Based Neuron Models
version 23 February 2011
ECE 6730 Advanced Neural Networks
Recall that you may not use any references in completing this project without permission from
the course instructor. Carefully document your work using the homework format described in the
syllabus. A formal report is not required.
1. Generate Figure 4.4 of [1].
For your assigned figure that demonstrates a behavior of system (4.1) and (4.2) in [1]:
2. provide phase plots including nullcline curves, location of equilibrium point(s), and example
trajectories for different values of the bifurcation parameter I; and
3. for each example trajectory, provide time domain plots of the membrane potential and gating
variable.
Explain the results of item 3 using the information of item 2.
Be prepared to present your results in class. Prepare a handout that summarizes your work. Be
sure to show reference(s) used.
References
[1] E. M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and
Bursting, The MIT Press, Cambridge, Massachusetts, 2007.
© 2011 Damon A. Miller. All rights reserved.