\documentclass[12pt,a4paper,pdftex]{exam} \usepackage[german]{babel} \usepackage{natbib} \usepackage{graphicx} \usepackage[small]{caption} \usepackage{sidecap} \usepackage{pslatex} \usepackage{amsmath} \usepackage{amssymb} \setlength{\marginparwidth}{2cm} \usepackage[breaklinks=true,bookmarks=true,bookmarksopen=true,pdfpagemode=UseNone,pdfstartview=FitH,colorlinks=true,citecolor=blue]{hyperref} %%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry} \pagestyle{headandfoot} \header{{\bfseries\large Exercise }}{{\bfseries\large Time-dependent firing rate}}{{\bfseries\large December, 04, 2018}} \firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email: jan.grewe@uni-tuebingen.de} \runningfooter{}{\thepage}{} \setlength{\baselineskip}{15pt} \setlength{\parindent}{0.0cm} \setlength{\parskip}{0.3cm} \renewcommand{\baselinestretch}{1.15} \newcommand{\code}[1]{\texttt{#1}} \renewcommand{\solutiontitle}{\noindent\textbf{Solution}\par\noindent} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{document} \vspace*{-6.5ex} \begin{center} \textbf{\Large Introduction to scientific computing.}\\[1ex] {\large Jan Grewe, Jan Benda}\\[-3ex] Abteilung Neuroethologie \hfill --- \hfill Institut f\"ur Neurobiologie \hfill --- \hfill \includegraphics[width=0.28\textwidth]{UT_WBMW_Black_RGB} \\ \end{center} \begin{questions} \question Plot the time-dependent firing rate of a neuron. Calculate the firing rate from the instantaneous firing rate (based on the interspike interval). Use the \code{lifoustim.mat}. The dataset contains three variables. 1st the spike times in different trials, 2nd the stimulus, and 3rd the temporal resolution. The total duration of each trial is 30 seconds. \begin{parts} \part{} Write a function that takes three arguments: the spike times of a single trial, the trial duration and the temporal resolution. The function should return the time values and the firing rate in $Hz$. \part{} Write a script that applies the above function to estimate the firing rate of each trial. Plot a single individual responses and the average response as a function of time into the same plot. \part{} Extend your program that it saves the figure with the width of 8.5\,cm using a fontsize of 10\,pt for labels. See Chapter 3 in the script, or browse the Matlab help for information. \part{} Store the figure in pdf format. \end{parts} \question{} As before but use the binning method. \question{} Extend your script that it also plots the interspike interval histogram and the distribution of spike counts into separate figures. Save the figures to file using the pdf format. You may also choose to use subplots instead of individual figures. \question{} Some trials are different than the others. \begin{parts} \part{} Use the rasterplot to identify them. In which sense are they different? Save the rasterplot in pdf format. Use the same size as above and make sure it is properly labeled. \part{} Identify the trials in which the spike count deviates more than $2\sigma$ from the average. \end{parts} \end{questions} \end{document}