From cb2ce858fb06f6d26d5f9d78bbcb6182f3462226 Mon Sep 17 00:00:00 2001 From: Jan Grewe Date: Sun, 13 Jan 2019 12:22:27 +0100 Subject: [PATCH] [project_vectorstrength] text improvements --- .../vector_strength.tex | 33 ++++++++++++------- 1 file changed, 21 insertions(+), 12 deletions(-) diff --git a/projects/project_vector_strength/vector_strength.tex b/projects/project_vector_strength/vector_strength.tex index 9952c5a..5e85ecc 100644 --- a/projects/project_vector_strength/vector_strength.tex +++ b/projects/project_vector_strength/vector_strength.tex @@ -11,9 +11,16 @@ %%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%% \section*{Quantifying the coupling of action potentials to the EOD.} -P-unit electroreceptors are driven by the fish's self-generated field, -the EOD. In this project you have to quantify the strength of this -coulpling using the \textbf{vector strength}: +Phase coupling of neuronal activity is observed in several +system. This means that the action potentials fired by a neuron occur +with specific phase relation to the driving periodic signal. For example sensory +neurons in the auditory system and the electrosensory system fire in +close phase relation to the stimulus frequncy. P-type electroreceptor +afferents (P-units) of the weakly electric fish \emph{Apteronotus + leptorhynchus} are driven by the fish's self-generated field, the +EOD and fire action potentials phase locked to it. In this project you +have to quantify the strength of this coulpling using the +\textbf{vector strength}: \begin{equation} VS = \sqrt{\left(\frac{1}{n}\sum_{i=1}^{n}\cos \alpha_i\right)^2 + \left(\frac{1}{n}\sum_{i = 1}^{n} \sin \alpha_i @@ -26,20 +33,22 @@ locking, respectively. \begin{questions} \question In the accompanying datasets you find recordings of the - ``baseline'' activity of P-unit electroreceptors of different weakly - electric fish of the species \textit{Apteronotus leptorhynchus}. - The files further contain respective recordings of the \textit{eod}, - i.e. the fish's field The data is sampled with 20\,kHz and the spike - times are given in seconds. + ``baseline'' activity of P-unit electroreceptors (in the absence of + an external stimulus) of different weakly electric fish of the + species \textit{Apteronotus leptorhynchus}. The files further + contain respective recordings of the \textit{eod}, i.e. the fish's + electric field. The data is sampled with 20\,kHz and the spike times + are given in seconds. \begin{parts} - \part Plot the average EOD waveform of each fish together with an respective PSTH. + \part Illustrate the phase locking by plotting the PSTH within the EOD cycle. \part Implement a function that estimates the vector strength - between the \textit{eod} and the spikes. + between the \textit{EOD} and the spikes. \part Create a polar plot that shows the timing of the spikes relatve to the EOD. - \part Analyze the baseline responses of each fish and extrace measures as were introduced in chapter 8 of the script. Plot the results + \part Apply an appropriate statistical test to check whether locking is statistically significant. + \part Analyze the baseline responses of each fish and extract measures as were introduced in chapter 10 of the script. Plot the results appropriately. - \part Does the vector strength correlate with the EOD frequency? + \part Does the vector strength correlate with the EOD frequency or the reponse variability (CV)? \end{parts} \end{questions}