61 lines
2.4 KiB
TeX
61 lines
2.4 KiB
TeX
\documentclass[12pt,a4paper,pdftex]{exam}
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\newcommand{\exercisetopic}{Time-dependent firing rates}
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\newcommand{\exercisenum}{12}
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\newcommand{\exercisedate}{January 19th, 2021}
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\input{../../exercisesheader}
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\firstpagefooter{Dr. Jan Grewe}{}{jan.grewe@uni-tuebingen.de}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\input{../../exercisestitle}
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\begin{questions}
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\question The dataset \code{lifoustim.mat} contains the responses of a (model) neuron to a time-varying stimulus.
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The dataset stores three variables: 1st the spike times in different trials,
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2nd the stimulus, and 3rd the temporal resolution of the recording. The total
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duration of each trial is 30 seconds.
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\question{} Some trials are different than the others.
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\begin{parts}
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\part Use a rasterplot to identify them. In which sense
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are they different?
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\part Extend your program that it saves the figure with the width and height of 8.5\,cm using a fontsize of 10\,pt for labels.
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See Chapter 3 in the script, or browse the Matlab help for more
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information. Store the figure in pdf format.
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\part Identify those trials in which the spike count
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deviates more than $2\sigma$ (twice the standard deviation) from the average.
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\end{parts}
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\question Plot the time-dependent firing rate of a neuron. Calculate
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the firing rate from the \emph{instantaneous firing rate} (based on the
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interspike interval).
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\begin{parts}
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\part Write a function that takes three arguments: the spike
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times of a single trial, the trial duration and the temporal
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resolution. The function should return two variables: the time axis and the
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time-dependent firing rate.
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\part Write a script that applies the above function to estimate
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the time-dependent firing rate of each trial. Plot the firing rates of the individual responses
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and the average response as a function of time into the same graph. Save the figure in pdf
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format. Use the same figure specifications as above and make sure it is properly labeled.
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\end{parts}
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\question{} As before but estimate the "PSTH" using the binning method.
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\question{} Extend your script that it also plots the interspike
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interval histogram and the distribution of spike counts into
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separate figures. Save the figures to file using the pdf format. You may also choose to use subplots instead of individual figures.
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\end{questions}
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\end{document}
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