79 lines
3.1 KiB
TeX
79 lines
3.1 KiB
TeX
\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, 12, 2017}}
|
|
\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 amounts to 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 in a format
|
|
according to the rules given by the \textit{Journal of
|
|
Neuroscience}. This relates to the figure size and the
|
|
fontsizes.
|
|
\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.
|
|
|
|
\question{} Some trials are different from the others.
|
|
\begin{parts}
|
|
\part{} Use the rasterplot to identify them. In which sense
|
|
are they different from the others? Save the rasterplot in pdf
|
|
format.
|
|
\part{} Identify those trial in which the total spike count
|
|
deviates more than $2\sigma$ from the average.
|
|
\end{parts}
|
|
\end{questions}
|
|
|
|
\end{document}
|