updating nonlin_regime figure

nonlin_regime.py

@@ -265,7 +265,7 @@ def plt_psd_nonlin(a, arrays_here, axps, c_nrs, color0, color01, color012, color
                      fr]
             plt_psd_saturation(pp, ff_p, a, axp, colors_array_here, freqs=freqs,
                                colors_peaks=colors_peaks, xlim=xlimp,
-                               markeredgecolor=markeredgecolors, labels=labels)
+                               markeredgecolor=markeredgecolors, labels=labels, log=log, add_log=5)
             if c_nn == 0:
                 axp.legend(ncol=5, loc=(-0, -1.1))
             if log:

susceptibility1.tex

@@ -450,7 +450,7 @@ Theoretical work on leaky integrate-and-fire and conductance-based models sugges
 
 \begin{figure*}[t]
   \includegraphics[width=\columnwidth]{nonlin_regime.pdf}
-  \caption{\label{fig:nonlin_regime} Nonlinear response of a model P-unit to increasing beat amplitudes in a three-fish or two-beat setting. The model used has the cell identifier 2013-01-08-aa (table~\ref{modelparams}). \figitem{A--D}. Top -- stimulus consisting of two beats, with different contrasts. The beat frequencies are 30\,Hz (\bone{}) and 130\,Hz (\btwo{}). \btwo{} is equal to the baseline firing rate \fbase{}. The contrasts of both beats are equal in a panel, and increase from \panel{A} to \panel{D}. Middle -- spike response of the model P-unit to the stimulus above. Bottom -- power spectrum of the firing rate of this P-unit model. Nonlinear effects at \bsum{} (orange marker) and at \bdiff{} (red marker) in the power spectrum of the P-unit firing rate increase for intermediate contrasts (\panel{B}), decrease for stronger contrasts (\panel{C}) and again increase for very strong contrasts (\panel{D}). \figitem{E} Amplitude of the linear (\bone{}, \btwo{}) and nonlinear (\bdiff{}, \bsum{}) responses of the model P-units plotted for increasing beat contrasts (contrasts increase equally for both beats). }
+  \caption{\label{fig:nonlin_regime} Nonlinear response of a model P-unit to increasing beat amplitudes in a three-fish or two-beat setting. The model used has the cell identifier 2013-01-08-aa (table~\ref{modelparams}). \figitem{A--D}. Top -- stimulus consisting of two beats, with different contrasts. The beat frequencies are 30\,Hz (\bone{}) and 130\,Hz (\btwo{}). \btwo{} is equal to the baseline firing rate \fbase{}. The contrasts of both beats are equal in a panel, and increase from \panel{A} to \panel{D}. Middle -- spike response of the model P-unit to the stimulus above. Bottom -- power spectrum of the firing rate of this P-unit model. Nonlinear effects at \bsum{} (orange marker) in the power spectrum of the P-unit firing rate increase for intermediate contrasts (\panel{B}), decrease for stronger contrasts (\panel{C}) and again increase for very strong contrasts (\panel{D}). \figitem{E} Amplitude of the linear (\bone{}, \btwo{}) and nonlinear (\bdiff{}, \bsum{}) responses of the model P-units plotted for increasing beat contrasts (contrasts increase equally for both beats). }
 \end{figure*}
 
 
@@ -525,7 +525,7 @@ We estimated the second-order susceptibility of P-unit responses using RAM stimu
 
 \begin{figure*}[t]
   \includegraphics[width=\columnwidth]{model_full.pdf}
-  \caption{\label{fig:model_full} Using second-order susceptibility to predict responses to sine-wave stimuli. \figitem[]{A} Absolute value of the second-order susceptibility,  \Eqnref{eq:susceptibility}, for both positive and negative frequencies. \susceptf{} was estimated from $N=10^6$ trials of model simulations in the noise-split condition (cell 2013-01-08-aa, see table~\ref{modelparams} for model parameters). White lines indicate zero frequencies. Nonlinear responses at \fsum{} are quantified in the upper right and lower left quadrants.  Nonlinear responses at \fdiff{} are quantified in the upper left and lower right quadrants. The baseline firing rate of this cell was at $\fbase=120$\,Hz. The position of the orange/red letters corresponds to the beat frequencies used for the stimulation with pure sine waves in the subsequent panels and indicates the sum/difference of those beat frequencies.  \figitem{B--E} Black line -- power spectral density of model simulations in response to stimulation with two pure sine waves, \fone{} and \ftwo, in addition to the receiving fish's own EOD (three-fish scenario). The contrast of beat beats is 0.02.  Colored circles highlight the height of selected peaks in the power spectrum. Grey line -- power spectral density of model in the baseline condition. \figitem{B} The sum of the two beat frequencies match \fbase{}. \figitem{C} The difference of \fone{} and \ftwo{} match \fbase{}. \figitem{D} Only the first beat frequency matches \fbase{}. \figitem{C} None of the two beat frequencies matches \fbase{}.}
+  \caption{\label{fig:model_full} Using second-order susceptibility to predict responses to sine-wave stimuli. \figitem[]{A} Absolute value of the second-order susceptibility,  \Eqnref{eq:susceptibility}, for both positive and negative frequencies. \susceptf{} was estimated from $N=10^6$ trials of model simulations in the noise-split condition (cell 2013-01-08-aa, see table~\ref{modelparams} for model parameters). White lines indicate zero frequencies. Nonlinear responses at \fsum{} are quantified in the upper right and lower left quadrants.  Nonlinear responses at \fdiff{} are quantified in the upper left and lower right quadrants. The baseline firing rate of this cell was at $\fbase=120$\,Hz. The position of the orange/red letters corresponds to the beat frequencies used for the stimulation with pure sine waves in the subsequent panels and indicates the sum/difference of those beat frequencies.  \figitem{B--E} Black line -- power spectral density of model simulations in response to stimulation with two pure sine waves, \fone{} and \ftwo, in addition to the receiving fish's own EOD (three-fish scenario). The contrast of beat beats is 0.02.  Colored circles highlight the height of selected peaks in the power spectrum. Grey line -- power spectral density of model in the baseline condition. \figitem{B} The sum of the two beat frequencies match \fbase{}. \figitem{C} The difference of \fone{} and \ftwo{} match \fbase{}. \figitem{D} Only the first beat frequency matches \fbase{}. \figitem{E} None of the two beat frequencies matches \fbase{}.}
 \end{figure*}
 
 However, the second-order susceptibility \Eqnref{eq:susceptibility} is a spectral measure that is based on Fourier transforms and thus is also defined for negative stimulus frequencies. The full \susceptf{} matrix is symmetric with respect to the origin. In the upper-right and lower-left quadrants of \susceptf{}, stimulus-evoked responses at \fsum{} are shown, whereas in the lower-right and upper-left quadrants nonlinear responses at the difference \fdiff{} are shown (\figref{fig:model_full}). The vertical and horizontal lines at \foneb{} and \ftwob{} are very pronounced in the upper-right quadrant of \subfigrefb{fig:model_full}{A} for nonlinear responses at \fsum{} and extend into the upper-left quadrant (representing \fdiff) where they fade out towards more negative $f_1$ frequencies. The peak in the response power-spectrum at \fdiff{} evoked by pure sine-wave stimulation (\subfigrefb{fig:motivation}{D}) is predicted by the horizontal line in the upper-left quadrant (\subfigrefb{fig:model_full}{A}, \citealp{Schlungbaum2023}). 

susceptibility1.tex.bak

@@ -450,7 +450,7 @@ Theoretical work on leaky integrate-and-fire and conductance-based models sugges
 
 \begin{figure*}[t]
   \includegraphics[width=\columnwidth]{nonlin_regime.pdf}
-  \caption{\label{fig:nonlin_regime} Nonlinear response of a model P-unit to increasing beat amplitudes in a three-fish or two-beat setting. The model used has the cell identifier 2013-01-08-aa (table~\ref{modelparams}). \figitem{A--D}. Top -- stimulus consisting of two beats, with different contrasts. The beat frequencies are 30\,Hz (\bone{}) and 130\,Hz (\btwo{}). \btwo{} is equal to the baseline firing rate \fbase{}. The contrasts of both beats are equal in a panel, and increase from \panel{A} to \panel{D}. Middle -- spike response of the model P-unit to the stimulus above. Bottom -- power spectrum of the firing rate of this P-unit model. Nonlinear effects at \bsum{} (orange marker) and at \bdiff{} (red marker) in the power spectrum of the P-unit firing rate increase for intermediate contrasts (\panel{B}), decrease for stronger contrasts (\panel{C}) and again increase for very strong contrasts (\panel{D}). \figitem{E} Amplitude of the linear (\bone{}, \btwo{}) and nonlinear (\bdiff{}, \bsum{}) responses of the model P-units plotted for increasing beat contrasts (contrasts increase equally for both beats). }
+  \caption{\label{fig:nonlin_regime} Nonlinear response of a model P-unit to increasing beat amplitudes in a three-fish or two-beat setting. The model used has the cell identifier 2013-01-08-aa (table~\ref{modelparams}). \figitem{A--D}. Top -- stimulus consisting of two beats, with different contrasts. The beat frequencies are 30\,Hz (\bone{}) and 130\,Hz (\btwo{}). \btwo{} is equal to the baseline firing rate \fbase{}. The contrasts of both beats are equal in a panel, and increase from \panel{A} to \panel{D}. Middle -- spike response of the model P-unit to the stimulus above. Bottom -- power spectrum of the firing rate of this P-unit model. Nonlinear effects at \bsum{} (orange marker) in the power spectrum of the P-unit firing rate increase for intermediate contrasts (\panel{B}), decrease for stronger contrasts (\panel{C}) and again increase for very strong contrasts (\panel{D}). \figitem{E} Amplitude of the linear (\bone{}, \btwo{}) and nonlinear (\bdiff{}, \bsum{}) responses of the model P-units plotted for increasing beat contrasts (contrasts increase equally for both beats). }
 \end{figure*}
 
 
@@ -525,7 +525,7 @@ We estimated the second-order susceptibility of P-unit responses using RAM stimu
 
 \begin{figure*}[t]
   \includegraphics[width=\columnwidth]{model_full.pdf}
-  \caption{\label{fig:model_full} Using second-order susceptibility to predict responses to sine-wave stimuli. \figitem[]{A} Absolute value of the second-order susceptibility,  \Eqnref{eq:susceptibility}, for both positive and negative frequencies. \susceptf{} was estimated from $N=10^6$ trials of model simulations in the noise-split condition (cell 2013-01-08-aa, see table~\ref{modelparams} for model parameters). White lines indicate zero frequencies. Nonlinear responses at \fsum{} are quantified in the upper right and lower left quadrants.  Nonlinear responses at \fdiff{} are quantified in the upper left and lower right quadrants. The baseline firing rate of this cell was at $\fbase=120$\,Hz. The position of the orange/red letters corresponds to the beat frequencies used for the stimulation with pure sine waves in the subsequent panels and indicates the sum/difference of those beat frequencies.  \figitem{B--E} Black line -- power spectral density of model simulations in response to stimulation with two pure sine waves, \fone{} and \ftwo, in addition to the receiving fish's own EOD (three-fish scenario). The contrast of beat beats is 0.02.  Colored circles highlight the height of selected peaks in the power spectrum. Grey line -- power spectral density of model in the baseline condition. \figitem{B} The sum of the two beat frequencies match \fbase{}. \figitem{C} The difference of \fone{} and \ftwo{} match \fbase{}. \figitem{D} Only the first beat frequency matches \fbase{}. \figitem{C} None of the two beat frequencies matches \fbase{}.}
+  \caption{\label{fig:model_full} Using second-order susceptibility to predict responses to sine-wave stimuli. \figitem[]{A} Absolute value of the second-order susceptibility,  \Eqnref{eq:susceptibility}, for both positive and negative frequencies. \susceptf{} was estimated from $N=10^6$ trials of model simulations in the noise-split condition (cell 2013-01-08-aa, see table~\ref{modelparams} for model parameters). White lines indicate zero frequencies. Nonlinear responses at \fsum{} are quantified in the upper right and lower left quadrants.  Nonlinear responses at \fdiff{} are quantified in the upper left and lower right quadrants. The baseline firing rate of this cell was at $\fbase=120$\,Hz. The position of the orange/red letters corresponds to the beat frequencies used for the stimulation with pure sine waves in the subsequent panels and indicates the sum/difference of those beat frequencies.  \figitem{B--E} Black line -- power spectral density of model simulations in response to stimulation with two pure sine waves, \fone{} and \ftwo, in addition to the receiving fish's own EOD (three-fish scenario). The contrast of beat beats is 0.02.  Colored circles highlight the height of selected peaks in the power spectrum. Grey line -- power spectral density of model in the baseline condition. \figitem{B} The sum of the two beat frequencies match \fbase{}. \figitem{C} The difference of \fone{} and \ftwo{} match \fbase{}. \figitem{D} Only the first beat frequency matches \fbase{}. \figitem{E} None of the two beat frequencies matches \fbase{}.}
 \end{figure*}
 
 However, the second-order susceptibility \Eqnref{eq:susceptibility} is a spectral measure that is based on Fourier transforms and thus is also defined for negative stimulus frequencies. The full \susceptf{} matrix is symmetric with respect to the origin. In the upper-right and lower-left quadrants of \susceptf{}, stimulus-evoked responses at \fsum{} are shown, whereas in the lower-right and upper-left quadrants nonlinear responses at the difference \fdiff{} are shown (\figref{fig:model_full}). The vertical and horizontal lines at \foneb{} and \ftwob{} are very pronounced in the upper-right quadrant of \subfigrefb{fig:model_full}{A} for nonlinear responses at \fsum{} and extend into the upper-left quadrant (representing \fdiff) where they fade out towards more negative $f_1$ frequencies. The peak in the response power-spectrum at \fdiff{} evoked by pure sine-wave stimulation (\subfigrefb{fig:motivation}{D}) is predicted by the horizontal line in the upper-left quadrant (\subfigrefb{fig:model_full}{A}, \citealp{Schlungbaum2023}).