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29 changes: 29 additions & 0 deletions README.md
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# A Moth MGC Model-A HH network with quantitative rate reduction
(Buckley. 2011)

We provide the model used in Buckley (2011). It consists of a network of Hodgkin Huxley neurons coupled by slow GABA_B synapses which is run alongside a quantitative reduction described in the associated paper.

Buckley CL, Nowotny T (2011) Multiscale model of an inhibitory network shows optimal properties near bifurcation.
*Phys Rev Lett.* 106(23):238109

@ARTICLE{buckley11a, author = {Buckley, C. L. and Nowotny, T}, title = {Multiscale model of an inhibitory network shows optimal properties near bifurcation}, journal = {Physical Review Letters}, year = {{2011}}, volume = {106, 238109}, owner = {clb27}, timestamp = {2011.02.23} }

It was constructed in linux under gcc

I have provided an exclipse project file but is probably best to cosntruct your own make file to include the libraries. All the simulation relevant parameters are contained within

- `MGCNetwork.cc`

- `fullMGC.h`

is the HH implmenetation and sits aside a quantitative rate equivalent in

- `fullMGCRate.h`

## Abstract

We present a systematic multi-scale reduction of a biologically plausible model of the inihibitory neuronal network of the pheromone system of the moth. Starting from a Hodgkin-Huxley conductance based model we adiabatically eliminate fast variables and quantitatively reduce the model to mean field equations. We then prove analytically that the network’s ability to operate on signal amplitudes across several orders of magnitude is optimal when a disinhibitory mode is close to losing stability and the network dynamics are close to bifurcation. This has the potential to extend the idea that optimal dynamic range in the brain arises as a critical phenomenon of phase transitions in excitable media to brain regions that are dominated by inhibition or have slow dynamics.

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2025-07-07: Converted README to Markdown.
47 changes: 0 additions & 47 deletions readme.txt

This file was deleted.