From 2ed4d50474174d51e4ff795fa3bc52c96f602926 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Sat, 1 Nov 2014 17:23:21 +0100 Subject: [PATCH] project assignment text --- projects/project_steady_fi/Makefile | 10 +++ .../project_steady_fi/steady_state_fi.tex | 67 +++++++++++++++++++ 2 files changed, 77 insertions(+) create mode 100644 projects/project_steady_fi/Makefile create mode 100755 projects/project_steady_fi/steady_state_fi.tex diff --git a/projects/project_steady_fi/Makefile b/projects/project_steady_fi/Makefile new file mode 100644 index 0000000..dad25ce --- /dev/null +++ b/projects/project_steady_fi/Makefile @@ -0,0 +1,10 @@ +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 diff --git a/projects/project_steady_fi/steady_state_fi.tex b/projects/project_steady_fi/steady_state_fi.tex new file mode 100755 index 0000000..57d4b23 --- /dev/null +++ b/projects/project_steady_fi/steady_state_fi.tex @@ -0,0 +1,67 @@ +\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 last 100 ms before stimulus + offset 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}