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scientificComputing/projects/project_serialcorrelation/serialcorrelation.tex

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\documentclass[addpoints,11pt]{exam}
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\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
-- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
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\begin{document}
%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
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% \gradetable[h][questions]
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\begin{center}
\input{../disclaimer.tex}
\end{center}
%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
\begin{questions}
\question P-unit electroreceptor afferents of the gymnotiform weakly
electric fish \textit{Apteronotus leptorhynchus} are spontaneously
active when the fish is not electrically stimulated.
\begin{itemize}
\item How does the firing rates and the serial correlations of the
interspike intervals vary between different cells?
\end{itemize}
In the file \texttt{baselinespikes.mat} you find two variables:
\texttt{cells} is a cell-array with the names of the recorded cells
and \texttt{spikes} is a cell array containing the spike times in
seconds of recorded spontaneous activity for each of these cells.
\begin{parts}
\part Load the data! How many cells are contained in the file?
\part Plot the spike rasters of a few cells.
For the presentation, choose a few cells based on the results of
this project.
By just looking on the spike rasters, what are the differences
betwen the cells?
\part Compute the firing rate of each cell, i.e. number of spikes per time.
Illustrate the results by means of a histogram and/or box whisker plot.
\part Compute and plot the serial correlations between interspike intervals up to lag 10.
What do you observe? In what way are the interspike-interval
correlations similar betwen the cells? How do they differ?
\part Implement a permutation test for computing the significance
at a 1\,\% level of the serial correlations. Illustrate for a few
cells the computed serial correlations and the 1\,\% and 99\,\%
percentile from the permutation test. At which lag are the serial
correlations clearly significant?
\part Are the serial correlations somehow dependent on the firing rate?
Plot the significant correlations against the firing rate. Do you
observe any dependence?
\end{parts}
\end{questions}
\end{document}