onset-fi project

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Jan Grewe 2014-11-01 17:12:03 +01:00
parent 38ad6dc7bf
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latex:
pdflatex *.tex > /dev/null
pdflatex *.tex > /dev/null
clean:
rm -rf *.log *.aux *.zip *.out auto
rm -f `basename *.tex .tex`.pdf
zip: latex
zip `basename *.tex .tex`.zip *.pdf *.dat *.mat

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\documentclass[addpoints,11pt]{exam}
\usepackage{url}
\usepackage{color}
\usepackage{hyperref}
\pagestyle{headandfoot}
\runningheadrule
\firstpageheadrule
\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
-- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
\firstpagefooter{}{}{}
\runningfooter{}{}{}
\pointsinmargin
\bracketedpoints
%\printanswers
%\shadedsolutions
\begin{document}
%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
\sffamily
% \begin{flushright}
% \gradetable[h][questions]
% \end{flushright}
\begin{center}
\input{../disclaimer.tex}
\end{center}
%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
\section*{Quantifying the responsiveness of a neuron using the F-I curve.}
The responsiveness of a neuron is often quantified using an F-I
curve. The F-I curve plots the \textbf{F}iring rate of the neuron as a function
of the stimulus \textbf{I}ntensity.
\begin{questions}
\question In the accompanying datasets you find the
\textit{spike\_times} of an P-unit electrorecptor to a stimulus of a
certain intensity, i.e. the \textit{contrast}. The contrast is also
part of the file name itself.
\begin{parts}
\part Estimate for each stimulus intensity the average response
(PSTH) and plot it. You will see that there are three parts. (i)
The first 200 ms is the baseline (no stimulus) activity. (ii) During
the next 1000 ms the stimulus was switched on. (iii) After stimulus
offset the neuronal activity was recorded for further 825 ms.
\part Extract the neuron's activity in the first 50 ms after stimulus onset
and plot it against the stimulus intensity, respectively the
contrast, in an appropriate way.
\part Fit a Boltzmann function to the FI-curve. The Boltzmann function
is defined as:
\begin{equation}
y=\frac{\alpha-\beta}{1+e^{(x-x_0)/dx}}+\beta,
\end{equation}
where $\alpha$ is the starting firing rate, $\beta$ the saturation
firing rate, $x$ the current stimulus intensity, $x_0$ starting
stimulus intensity, and $dx$ a measure of the slope.
\end{parts}
\end{questions}
\end{document}