# Single Neuron Models

## Hodgkin-Huxley Model

Biological principles: ion channel openness

This equation summarize the current run over the all ion channels. Three types of ion channels are considered: sodium channels, potassium channels, and unspecific leaky channels.

$C\frac{du}{dt}$ denotes the current across the capacitor.

This equation denotes the ionic channel currency, where m , n, and h could be analyzed with master equation.

Advantages: represent real biological process Disadvantage: computation-expensive

## 2D Model

## Leaky Integrate-and-Fire Model

where $\tau_m=RC$ is the *leaky integrator*,
so it yields this equation:

## Nonlinear Integrate-and-Fire Model

## Spike Response Model

no equations available