From f9a15ba99362618d505f32b7dc53d0d670d7dcbc Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Mon, 27 Jan 2020 16:28:04 +0100 Subject: [PATCH] [projects] imrpoved population vector --- .../populationvector.tex | 20 +++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/projects/project_populationvector/populationvector.tex b/projects/project_populationvector/populationvector.tex index ee40c66..7b5cb69 100644 --- a/projects/project_populationvector/populationvector.tex +++ b/projects/project_populationvector/populationvector.tex @@ -47,19 +47,19 @@ 200\,ms. The resulting curves are the tuning curves $r(\varphi)$ of the neurons. - \part Fit the function \[ r(\varphi) = - g(1+\cos(2(\varphi-\varphi_0)))/2 \] to the measured tuning curves in - order to estimated the orientation angle at which the neurons - respond strongest. In this function $\varphi_0$ is the position of - the peak and $g$ is a gain factor that sets the maximum firing - rate. + \part Fit the function \[ r(\varphi) = g \cdot + (1+\cos(2(\varphi-\varphi_0)))/2 + a \] to the measured tuning + curves in order to estimated the orientation angle at which the + neurons respond strongest. In this function $\varphi_0$ is the + position of the peak, $g$ is a gain factor that sets the + modulation depth of the firing rate, and $a$ is an offset. \part How can the orientation angle of the presented bar be read out from one trial of the population activity of the 6 neurons? - One is the so called ``population vector'' where unit vectors - pointing into the direction of the maximum response of each neuron - are weighted by their firing rate. The stimulus orientation is - then the direction of the averaged vectors. + One possible method is the so called ``population vector'' where + unit vectors pointing into the direction of the maximum response + of each neuron are weighted by their firing rate. The stimulus + orientation is then the direction of the averaged vectors. %Think of another (simpler) method how the orientation of the bar %may be approximately read out from the population.