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Fabian Sinz
2014-11-03 11:28:54 +01:00
parent 11564e16a1
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18
projects/project_onset_fi/onset_fi.tex
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@@ -9,7 +9,7 @@
\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
-- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
\firstpagefooter{}{}{}
\firstpagefooter{}{}{{\bf Supervisor:} Jan Grewe}
\runningfooter{}{}{}
\pointsinmargin
\bracketedpoints
@@ -39,25 +39,25 @@ of the stimulus \textbf{I}ntensity.
\question In the accompanying datasets you find the
\textit{spike\_times} of an P-unit electrorecptor of the weakly
electric fish \textit{Apteronotus leptorhynchus} to a stimulus of a
certain intensity, i.e. the \textit{contrast}. The contrast is also
part of the file name itself.
certain intensity, i.e. the \textit{contrast}.
\begin{parts}
\part Estimate for each stimulus intensity the average response
\part For each stimulus intensity estimate 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.
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,
y=\frac{\alpha-\beta}{1+e^{(x-x_0)/\Delta x}}+\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.
stimulus intensity, and $\Delta x$ a measure of the slope.
\part Plot the fit into the data.
\end{parts}
\end{questions}