Characteristics of spikes in different neuron models (exponential integrate-and-fire, Hodgkin-Huxley, and Izhikevich models) as fuctions of not only input (synaptic) current but input conductance as well
The aim of this project is to get familiar with mathematical models of single neurons and to get non-trivial results of comparison for the most important models. If consider the case of only current injection into a neuron, it is well known that the first model (exponential integrate-and-fire model with parameters fitted to experiments) reproduces membrane voltage of a real neuron very well, the second (Hodgkin-Huxley model) reflects biophysical mechanisms of spike generation, the third (Izhikevich model) very efficiently, in a simple way, reproduces behavior of many types of neurons. However in nature not only synaptic current controls a neuron, but synaptic conductance as well. Which of the models is good if both, current and conductance, vary?
Project prerequisites: Basic knowledge on ordinary differential equations, Matlab, cellular neurophysiology (ionic channels, membrane excitability, etc.)
Associated topics: mathematical modeling, neurophysiology
Dr. Anton Chizhov,
Ph.D. in Physics (fluid dynamics).