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Add figures about experiments (narrowband) to appendix

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Dennis Huben 2024-10-14 21:11:15 +02:00
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@ -804,22 +804,67 @@ Bottom: Using the difference in coding fraction instead of the quotient makes th
\caption{This is about frequency and how it determines $delta_cf$. In other paper I have used $quot_cf$. \notedh{The x-axis labels don't make sense to me. Left is broad and right is narrow? }}
\end{figure}
\subsection{Discussion}
\begin{figure}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_50_100/2_by_2_overview.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_50_100/averaged_4parts.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_50_100/scatter_and_fits_sigma_quot_firing_rate.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_50_100/scatter_and_fits_sigma_diff_firing_rate.pdf}
\label{experiments_narrow_50_100}
\caption{Experimental data for a signal with a lower cutoff frequency of 50Hz and an upper cutoff of 100Hz.
A: Coding fraction as a function of population size. Cells are grouped in quartiles according to $\sigma$.
B: Coding fraction as a function of population size. Each curve shows an average over the cells in one panel of A. Shaded area shows the standard deviation.
C: Increase in coding fraction for N=1 to N=64 as a function of $\sigma$. The y-axis shows the quotient of coding fraction at N=64 divided by coding fraction at N=1.
D: Same as C, only with the difference instead of the quotient.
}
\end{figure}
\begin{figure}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_150_200/2_by_2_overview.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_150_200/averaged_4parts.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_150_200/scatter_and_fits_sigma_quot_firing_rate.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_150_200/scatter_and_fits_sigma_diff_firing_rate.pdf}
\label{experiments_narrow_150_200}
\caption{Experimental data for a signal with a lower cutoff frequency of 150Hz and an upper cutoff of 200Hz.
A: Coding fraction as a function of population size. Cells are grouped in quartiles according to $\sigma$.
B: Coding fraction as a function of population size. Each curve shows an average over the cells in one panel of A. Shaded area shows the standard deviation.
C: Increase in coding fraction for N=1 to N=64 as a function of $\sigma$. The y-axis shows the quotient of coding fraction at N=64 divided by coding fraction at N=1.
D: Same as C, only with the difference instead of the quotient.
}
\end{figure}
\begin{figure}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_250_300/2_by_2_overview.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_250_300/averaged_4parts.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_250_300/scatter_and_fits_sigma_quot_firing_rate.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_250_300/scatter_and_fits_sigma_diff_firing_rate.pdf}
\label{experiments_narrow_250_300}
\caption{Experimental data for a signal with a lower cutoff frequency of 250Hz and an upper cutoff of 300Hz.
A: Coding fraction as a function of population size. Cells are grouped in quartiles according to $\sigma$.
B: Coding fraction as a function of population size. Each curve shows an average over the cells in one panel of A. Shaded area shows the standard deviation.
C: Increase in coding fraction for N=1 to N=64 as a function of $\sigma$. The y-axis shows the quotient of coding fraction at N=64 divided by coding fraction at N=1.
D: Same as C, only with the difference instead of the quotient.
}
\end{figure}
\begin{figure}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_350_400/2_by_2_overview.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_350_400/averaged_4parts.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_350_400/scatter_and_fits_sigma_quot_firing_rate.pdf}
\includegraphics[width=0.49\linewidth]{img/experiments/narrow_350_400/scatter_and_fits_sigma_diff_firing_rate.pdf}
\label{experiments_narrow_350_400}
\caption{Experimental data for a signal with a lower cutoff frequency of 350Hz and an upper cutoff of 400Hz.
A: Coding fraction as a function of population size. Cells are grouped in quartiles according to $\sigma$.
B: Coding fraction as a function of population size. Each curve shows an average over the cells in one panel of A. Shaded area shows the standard deviation.
C: Increase in coding fraction for N=1 to N=64 as a function of $\sigma$. The y-axis shows the quotient of coding fraction at N=64 divided by coding fraction at N=1.
D: Same as C, only with the difference instead of the quotient.
}
\end{figure}
We also confirmed that the results from the theory part of the paper play a role in a
real world example. Inside the brain of the weakly electric fish
\textit{Apteronotus leptorhynchus} pyramidal cells in different areas
are responsible for encoding different frequencies. In each of those areas,
cells integrate over different numbers of the same receptor cells.
Artificial populations consisting of different trials of the same receptor cell
show what we have seen in our simulations: Larger populations help
especially with the encoding of high frequency signals. These results
are in line with what is known about the pyramidal cells of \lepto:
The cells which encode high frequency signals best are the cells which
integrate over the largest number of neurons.
\section{Literature}
\clearpage
\bibliography{citations.bib}