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Added prominence clarification in methods and separating line in Table 2

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nkoch1 2022-04-28 11:38:10 -04:00
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2 changed files with 3 additions and 2 deletions
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gating_table.tex
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@ -14,7 +14,8 @@ RS pyramidal, & \(\textrm{I}_{\textrm{Na}}\) inactivation
FS & \(\textrm{I}_{\textrm{L}}\) activation &-39.03684525 & -5.57756176 & 2.25190197 & --- \\
& \(\textrm{I}_{\textrm{L}}\) inactivation &-57.37 & 20.98 & 1 & --- \\
& \(\textrm{I}_{\textrm{M}}\) activation &-45 & -9.9998807337 & 1 & --- \\ %-45 with 10 mV shift to contributes to resting potential
& & & & &\\
% & & & & &\\
\Xhline{1\arrayrulewidth}
\(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) & \(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) activation &-30.01851852 & -7.73333333 & 1 & --- \\
& \(\textrm{I}_{\textrm{K}_{\textrm{V}}\textrm{1.1}}\ \) Inactivation &-46.85851852 & 7.67266667 & 1 & 0.245 \\
\Xhline{1\arrayrulewidth}

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manuscript.tex
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@ -173,7 +173,7 @@ with slope \(k\), voltage for half-maximal activation or inactivation (\(V_{1/2}
\input{gating_table}
\subsection*{Firing Frequency Analysis}
The membrane responses to 200 equidistant two second long current steps were simulated using the forward-Euler method with a \(\Delta \textrm{t} = 0.01\)\,ms from steady state. Current steps ranged from 0 to 1\,nA for all models except for the RS inhibitory neuron models where a range of 0 to 0.35 nA was used to ensure repetitive firing across the range of input currents. For each current step, action potentials were detected as peaks with at least 50\,mV prominence and a minimum interspike interval of 1\,ms. The interspike interval was computed and used to determine the instantaneous firing frequencies elicited by the current step. The steady-state firing frequency were defined as the mean firing frequency in 0.5\,s after the first action potential in the last second of the current step respectively and was used to construct frequency-current (fI) curves.
The membrane responses to 200 equidistant two second long current steps were simulated using the forward-Euler method with a \(\Delta \textrm{t} = 0.01\)\,ms from steady state. Current steps ranged from 0 to 1\,nA for all models except for the RS inhibitory neuron models where a range of 0 to 0.35 nA was used to ensure repetitive firing across the range of input currents. For each current step, action potentials were detected as peaks with at least 50\,mV prominence, or the relative height above the lowest contour line encircling it, and a minimum interspike interval of 1\,ms. The interspike interval was computed and used to determine the instantaneous firing frequencies elicited by the current step. The steady-state firing frequency were defined as the mean firing frequency in 0.5\,s after the first action potential in the last second of the current step respectively and was used to construct frequency-current (fI) curves.
The smallest current at which steady state firing occurs was identified and the current step interval preceding the occurrence of steady state firing was simulated at higher resolution (100 current steps) to determine the current at which steady state firing began. Firing was simulated with 100 current steps from this current upwards for 1/5 of the overall current range.
Over this range a fI curve was constructed and the integral, or area under the curve (AUC), of the fI curve over this interval was computed with the composite trapezoidal rule and used as a measure of firing rate independent from rheobase.