Introduction
------------

This project will contain examples of the Izhikevich spiking neuron model.

### Installation

To get local clone of this project…

### Versions of the project

The original model in [MATLAB format](http://izhikevich.org/publications/figure1.m) has been converted to a number of other formats.

#### PyNN

…

Tested with simulators: NEURON…

#### NeuroML 2

…

The XML for an Izhikevich model in NeuroML v2.0 is below:

<code class="xml">
<izhikevichCell id="TonicSpiking" v0 = "-70mV" thresh = "30mV" a ="0.02" b = "0.2" c = "-65.0" d = "6" Iamp="0" Idel="0ms" Idur="2000ms"/></code>

For full examples of single cells see [TonicSpiking](/projects/izhikevichmodel/repository/entry/neuroConstruct/cellMechanisms/TonicSpiking/TonicSpiking.nml) or [PhasicBursting](/projects/izhikevichmodel/repository/entry/neuroConstruct/cellMechanisms/PhasicBursting/PhasicBursting.nml)

Tested with simulators: …

### Comparison to original model behaviour

table{border:1px solid black}.
{background:\#ddd}. |**Model**|**Label** |**PyNN** |**NeuroML** | **Comments** |
|Tonic spiking | &nbsp;&nbsp;&nbsp;A&nbsp; &nbsp; &nbsp; |OK | &nbsp;&nbsp;&nbsp;OK ||
|Phasic spiking| &nbsp;&nbsp;&nbsp;B |OK | &nbsp;&nbsp;&nbsp;OK ||
|Tonic bursting| &nbsp;&nbsp;&nbsp;C |OK | &nbsp;&nbsp;&nbsp;OK ||
|Phasic bursting| &nbsp;&nbsp;&nbsp;D |OK | &nbsp;&nbsp;&nbsp;OK ||
|Mixed mode| &nbsp;&nbsp;&nbsp;E |OK | &nbsp;&nbsp;&nbsp;OK ||
|Spike freq. adapt.| &nbsp;&nbsp;&nbsp;F |OK | &nbsp;&nbsp;&nbsp;OK ||
|Class 1 excitable| &nbsp;&nbsp;&nbsp;G |not yet implemented| OK (although new ComponentType [generalizedIzhikevichCell](https://github.com/OpenSourceBrain/IzhikevichModel/blob/master/NeuroML2/GeneralizedIzhikevichCell.xml) required)| Different model parameterization |
|Class 2 excitable| &nbsp;&nbsp;&nbsp;H |not yet implemented| &nbsp;&nbsp;&nbsp;OK ||
|Spike latency | &nbsp;&nbsp;&nbsp;I |OK| &nbsp;&nbsp;&nbsp;OK| Requires modified pulse amplitude for more pronounced spike latency at smaller dt |
|Subthresh. osc.| &nbsp;&nbsp;&nbsp;J |OK| &nbsp;&nbsp;&nbsp;OK| |
|Resonator| &nbsp;&nbsp;&nbsp;K |not yet implemented| &nbsp;&nbsp;&nbsp;OK ||
|Integrator| &nbsp;&nbsp;&nbsp;L |not yet implemented| &nbsp;&nbsp;&nbsp;OK (although new ComponentType [generalizedIzhikevichCell](https://github.com/OpenSourceBrain/IzhikevichModel/blob/master/NeuroML2/GeneralizedIzhikevichCell.xml) required)| Different model parameterization|
|Rebound spike| &nbsp;&nbsp;&nbsp;M |OK| &nbsp;&nbsp;&nbsp;OK ||
|Rebound burst| &nbsp;&nbsp;&nbsp;N |OK| &nbsp;&nbsp;&nbsp;OK ||
|Threshold variability| &nbsp;&nbsp;&nbsp;O |not yet implemented| &nbsp;&nbsp;&nbsp;OK ||
|Bistability| &nbsp;&nbsp;&nbsp;P |OK| &nbsp;&nbsp;&nbsp;OK | Requires a slightly altered time of 2nd spike to ensure bistability at smaller dt |
|Depolarizing after-potential| &nbsp;&nbsp;&nbsp;Q |PROBLEM| &nbsp;&nbsp;&nbsp;OK| Matches if changed b from 0.2 to 0.18| &nbsp;&nbsp;&nbsp;PROBLEM| Response depending on the time step|
|Accomodation| &nbsp;&nbsp;&nbsp;R |not yet implemented| &nbsp;&nbsp;&nbsp;OK (although new ComponentType [accomodationIzhikevichCell](https://github.com/OpenSourceBrain/IzhikevichModel/blob/master/NeuroML2/GeneralizedIzhikevichCell.xml) required)| &nbsp;&nbsp;&nbsp;PROBLEM| Different model parameterization| from fig1|
|Inhibition-induced spiking| &nbsp;&nbsp;&nbsp;S |PROBLEM| &nbsp;&nbsp;&nbsp;PROBLEM| Response depending on the time step|
|Inhibition-induced bursting| &nbsp;&nbsp;&nbsp;T |PROBLEM | &nbsp;&nbsp;&nbsp;PROBLEM| Response diverging on PyNN and depending on the time step on NeuroML|