[project_vectorstrength] text improvements
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@ -11,9 +11,16 @@
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%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Quantifying the coupling of action potentials to the EOD.}
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P-unit electroreceptors are driven by the fish's self-generated field,
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the EOD. In this project you have to quantify the strength of this
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coulpling using the \textbf{vector strength}:
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Phase coupling of neuronal activity is observed in several
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system. This means that the action potentials fired by a neuron occur
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with specific phase relation to the driving periodic signal. For example sensory
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neurons in the auditory system and the electrosensory system fire in
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close phase relation to the stimulus frequncy. P-type electroreceptor
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afferents (P-units) of the weakly electric fish \emph{Apteronotus
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leptorhynchus} are driven by the fish's self-generated field, the
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EOD and fire action potentials phase locked to it. In this project you
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have to quantify the strength of this coulpling using the
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\textbf{vector strength}:
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\begin{equation}
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VS = \sqrt{\left(\frac{1}{n}\sum_{i=1}^{n}\cos
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\alpha_i\right)^2 + \left(\frac{1}{n}\sum_{i = 1}^{n} \sin \alpha_i
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@ -26,20 +33,22 @@ locking, respectively.
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\begin{questions}
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\question In the accompanying datasets you find recordings of the
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``baseline'' activity of P-unit electroreceptors of different weakly
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electric fish of the species \textit{Apteronotus leptorhynchus}.
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The files further contain respective recordings of the \textit{eod},
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i.e. the fish's field The data is sampled with 20\,kHz and the spike
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times are given in seconds.
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``baseline'' activity of P-unit electroreceptors (in the absence of
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an external stimulus) of different weakly electric fish of the
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species \textit{Apteronotus leptorhynchus}. The files further
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contain respective recordings of the \textit{eod}, i.e. the fish's
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electric field. The data is sampled with 20\,kHz and the spike times
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are given in seconds.
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\begin{parts}
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\part Plot the average EOD waveform of each fish together with an respective PSTH.
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\part Illustrate the phase locking by plotting the PSTH within the EOD cycle.
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\part Implement a function that estimates the vector strength
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between the \textit{eod} and the spikes.
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between the \textit{EOD} and the spikes.
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\part Create a polar plot that shows the timing of the spikes
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relatve to the EOD.
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\part Analyze the baseline responses of each fish and extrace measures as were introduced in chapter 8 of the script. Plot the results
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\part Apply an appropriate statistical test to check whether locking is statistically significant.
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\part Analyze the baseline responses of each fish and extract measures as were introduced in chapter 10 of the script. Plot the results
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appropriately.
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\part Does the vector strength correlate with the EOD frequency?
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\part Does the vector strength correlate with the EOD frequency or the reponse variability (CV)?
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\end{parts}
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\end{questions}
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