Table 5 Proxies available in ncpi for generating extracellular signals
From: A Python toolbox for neural circuit parameter inference
Symbol | Value/definition | Description |
---|---|---|
firing rate | \({{\rm{\upsilon }}}_{{\rm{X}}}({\rm{t}})\) | Population spike rate |
AMPA | \(\sum _{{\rm{u}}}{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\) for u ∈ [1, NE] | Sum of AMPA currents |
GABA | \(\sum _{{\rm{u}}}{-{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\) for u ∈ [1, NE] | Sum of GABA currents |
Vm | \(\sum _{{\rm{u}}}{{\rm{V}}}_{{\rm{m}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\) for u ∈ [1, NE] | Sum of membrane potentials |
∑ I | \(\sum _{{\rm{u}}}{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})+{{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\) for u ∈ [1, NE] | Sum of synaptic currents |
∑ |I| | \(\sum _{{\rm{u}}}\left|{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\right|+\left|{{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\right|\) for u ∈ [1, NE] | Sum of their absolute values |
LRWS | \(\sum _{{\rm{u}}}{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }\left({\rm{t}}-6{\rm{ms}}\right)-1.65\,{{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}})\) for u ∈ [1, NE] | LFP reference weighted sum25 |
ERWS1 | \(\sum _{{\rm{u}}}{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }\left({\rm{t}}+0.9{\rm{ms}}\right)-0.3\,{{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}}-2.3{\rm{ms}})\) for u ∈ [1, NE] | EEG reference weighted sum 1 (non-causal)24 |
ERWS2 | \(\sum _{{\rm{u}}}{{\rm{I}}}_{{\rm{AMPA}}}^{\left\langle {\rm{u}}\right\rangle }\left({\rm{t}}+0.6{{\rm{\upsilon }}}_{{\rm{ext}}}^{-0.1}{\rm{ms}}+0.4{\rm{ms}}\right)-\left(1.4{\,{\rm{\upsilon }}}_{{\rm{ext}}}^{-1.7}+0.2\right)\,{{\rm{I}}}_{{\rm{GABA}}}^{\left\langle {\rm{u}}\right\rangle }({\rm{t}}+1.9{{\rm{\upsilon }}}_{{\rm{ext}}}^{-0.6}{\rm{ms}}-3{\rm{ms}})\) for u ∈ [1, NE] | EEG reference weighted sum 2 (non-causal)24 |