From 90df1e45dd107a6ca89215355465806a7b2b6780 Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Mon, 20 Jan 2020 17:39:46 +0100 Subject: [PATCH] [project_ficurve] improved task --- projects/project_ficurves/ficurves.tex | 36 ++++++++++++-------------- 1 file changed, 17 insertions(+), 19 deletions(-) diff --git a/projects/project_ficurves/ficurves.tex b/projects/project_ficurves/ficurves.tex index 8af5861..53648af 100644 --- a/projects/project_ficurves/ficurves.tex +++ b/projects/project_ficurves/ficurves.tex @@ -27,17 +27,17 @@ to the stimulus onset. \question Estimate the $f$-$I$-curve for the onset and the steady state response. \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 Estimate for each stimulus intensity the time course of the + trial-averaged 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 50\,ms time windows before - stimulus onset (baseline activity), immediately after stimulus - onset (onset response), and 50\,ms before stimulus offset (steady - state response). + \part Extract the neuron's activity (mean over trials and standard + deviation) in 50\,ms time windows before stimulus onset (baseline + activity), immediately after stimulus onset (onset response), and + 50\,ms before stimulus offset (steady state response). Plot the resulting $f$-$I$ curves by plotting the three computed firing rates against the corresponding stimulus intensities @@ -45,8 +45,9 @@ to the stimulus onset. \end{parts} - \question Fit a Boltzmann function to each of the $$-$I$-curves. The - Boltzmann function is a sigmoidal function and is defined as + \question Fit a Boltzmann function to the onset and steady-state + $f$-$I$-curves. The Boltzmann function is a sigmoidal function and + is defined as \begin{equation} f(x) = \frac{\alpha-\beta}{1+e^{-k(x-x_0)}}+\beta \; . \end{equation} @@ -64,13 +65,10 @@ to the stimulus onset. \part Do the fits and show the resulting Boltzmann functions together with the corresponding data. - - \part Illustrate how the fit to the $f$-$I$ curves changes during - the fitting process. You can plot the parameters as a function of - fit iterations. Which parameter stay the same, which ones change - with time? - - Support your conclusion with appropriate statistical tests. + + \part Use a statistical test to evaluate which of the onset and + steady-state responses differ significantly from the baseline + activity. \part Discuss you results with respect to encoding of different stimulus intensities.