GitHub - adityagilra/2015_spiking_population_response: Calculate and plot response of a population of spiking neurons to a constant and a sinusoid riding on top via simulation (brian2) and theory (integral and differential approaches); uses my neurtheor module.

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Calculate and plot response of a population of spiking neurons to a constant and a sinusoid riding on top via simulation (brian2) and theory (integral and differential approaches); uses my neurtheor module.

GPL-3.0 license

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Name		Name	Last commit message	Last commit date
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.gitignore		.gitignore
EI_eigenW.py		EI_eigenW.py
ExcInhNetflex.py		ExcInhNetflex.py
Integral_linresponse.png		Integral_linresponse.png
Integral_linresponse_connI05mV.png		Integral_linresponse_connI05mV.png
Integral_linresponse_unconnx2.png		Integral_linresponse_unconnx2.png
Integral_linresponse_unconnx2_shift.png		Integral_linresponse_unconnx2_shift.png
Licence.txt		Licence.txt
README		README
SRM_evolve.py		SRM_evolve.py
brian2_issue.py		brian2_issue.py
eigenW106M10normalFalse.pickle		eigenW106M10normalFalse.pickle
eigenW107M10normalFalse.pickle		eigenW107M10normalFalse.pickle
eigenW108M10normalFalse.pickle		eigenW108M10normalFalse.pickle
eigenW108M10normalTrue.pickle		eigenW108M10normalTrue.pickle
embedded_consts.py		embedded_consts.py
embedded_evolve.py		embedded_evolve.py
integral_eqns_lin_response.py		integral_eqns_lin_response.py
lin_response_comparisons.py		lin_response_comparisons.py
lin_response_recurrent_comparisons.py		lin_response_recurrent_comparisons.py
lin_response_recurrent_comparisons_v2.py		lin_response_recurrent_comparisons_v2.py
linizeExpMomentKernel.pickle		linizeExpMomentKernel.pickle
linresprate_briancompare.py		linresprate_briancompare.py
rate_evolveEIarb.png		rate_evolveEIarb.png
rate_evolveEIschurW.png		rate_evolveEIschurW.png
rate_evolveQarb.png		rate_evolveQarb.png
rate_evolveQschurW.png		rate_evolveQschurW.png
stabW100M10_SA0.1.pickle		stabW100M10_SA0.1.pickle

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Requires the neurtheor package (see my repo neurtheor [ https://github.com/adityagilra/neurtheor ])

`python lin_response_comparisons_v2.py`
`python lin_response_comparisons.py` (older - doesn't use neurtheor module, simpler plots)

Calculate and plot response of a population of spiking neurons (spike response model) to a constant and a sinusoid riding on top.
Population responses calculated via 3 different methods are compared:
1) via simulation (brian2)
2) via linear response theory using the integral approach (do_integral_approach=True) explained in Gerstner et al book [ http://neuronaldynamics.epfl.ch/ ].
3) for a LIF neuron, you can also calculate the population response using linear response theory using the differential approach (do_differential_approach=True) from Richardson 2007 [ http://link.aps.org/doi/10.1103/PhysRevE.76.021919 ].

All code in this repository is under the GNU GPL v3.0 (c) Aditya Gilra, 2015.