77 lines
3.2 KiB
TeX
77 lines
3.2 KiB
TeX
\documentclass[12pt,a4paper,pdftex]{exam}
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\usepackage[german]{babel}
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\usepackage{natbib}
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\usepackage{graphicx}
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\usepackage[small]{caption}
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\usepackage{sidecap}
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\usepackage{pslatex}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\setlength{\marginparwidth}{2cm}
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\usepackage[breaklinks=true,bookmarks=true,bookmarksopen=true,pdfpagemode=UseNone,pdfstartview=FitH,colorlinks=true,citecolor=blue]{hyperref}
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%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
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\pagestyle{headandfoot} \header{{\bfseries\large Exercise
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}}{{\bfseries\large Time-dependent firing rate}}{{\bfseries\large December, 04, 2018}}
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\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
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jan.grewe@uni-tuebingen.de} \runningfooter{}{\thepage}{}
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\setlength{\baselineskip}{15pt}
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\setlength{\parindent}{0.0cm}
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\setlength{\parskip}{0.3cm}
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\renewcommand{\baselinestretch}{1.15}
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\newcommand{\code}[1]{\texttt{#1}}
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\renewcommand{\solutiontitle}{\noindent\textbf{Solution}\par\noindent}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\vspace*{-6.5ex}
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\begin{center}
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\textbf{\Large Introduction to scientific computing.}\\[1ex]
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{\large Jan Grewe, Jan Benda}\\[-3ex]
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Abteilung Neuroethologie \hfill --- \hfill Institut f\"ur Neurobiologie \hfill --- \hfill \includegraphics[width=0.28\textwidth]{UT_WBMW_Black_RGB} \\
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\end{center}
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\begin{questions}
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\question Plot the time-dependent firing rate of a neuron. Calculate
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the firing rate from the instantaneous firing rate (based on the
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interspike interval). Use the \code{lifoustim.mat}. The dataset
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contains three variables. 1st the spike times in different trials,
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2nd the stimulus, and 3rd the temporal resolution. The total
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duration of each trial is 30 seconds.
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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 the time values and the
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firing rate in $Hz$.
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\part{} Write a script that applies the above function to estimate
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the firing rate of each trial. Plot a single individual responses
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and the average response as a function of time into the same plot.
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\part{} Extend your program that it saves the figure with the width 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 information.
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\part{} Store the figure in pdf format.
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\end{parts}
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\question{} As before but use 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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\question{} Some trials are different than the others.
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\begin{parts}
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\part{} Use the rasterplot to identify them. In which sense
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are they different? Save the rasterplot in pdf
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format. Use the same size as above and make sure it is properly labeled.
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\part{} Identify the trials in which the spike count
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deviates more than $2\sigma$ from the average.
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\end{parts}
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\end{questions}
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\end{document}
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