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@@ -84,7 +84,7 @@ spikes = lifboltzmanspikes( trials, input, tmax, Dnoise, imax, ithresh, slope );
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Think of calling the \texttt{lifboltzmanspikes()} function as a
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simple way of doing an electrophysiological experiment. You are
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presenting a stimulus of constant intensity $I$ that you set. The
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presenting a stimulus with a constant intensity $I$ that you set. The
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neuron responds to this stimulus, and you record this
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response. After detecting the timepoints of the spikes in your
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recordings you get what the \texttt{lifboltzmanspikes()} function
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@@ -101,20 +101,22 @@ spikes = lifboltzmanspikes( trials, input, tmax, Dnoise, imax, ithresh, slope );
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differrent stimuli.
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\part Measure the tuning curve of the neuron with respect to the
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input. That is, compute the mean firing rate (number of spikes within the recording time \texttt{tmax} divided by \texttt{tmax}) as a function of the
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input strength. Find an appropriate range of input values. Do
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this for different values of the \texttt{slope} parameter (values
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between 0.1 and 2.0).
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input. That is, compute the mean firing rate (number of spikes
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within the recording time \texttt{tmax} divided by \texttt{tmax}
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and averaged over trials) as a function of the input
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strength. Find an appropriate range of input values. Do this for
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different values of the \texttt{slope} parameter (values between
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0.1 and 2.0).
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\part Generate histograms of the spike counts within $W=200$\,ms
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of the responses to the two differrent stimuli $I_1$ and
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$I_2$. How do they depend on the slope of the tuning curve of the
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neuron?
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\part For the two differrent stimuli $I_1$ and $I_2$ generate
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histograms of the spike counts of the evoked responses within all
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windows of $W=200$\,ms width. How do the histograms of the spike
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counts depend on the slope of the tuning curve of the neuron?
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\part Think about a measure based on the spike count histograms
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that quantifies how well the two stimuli can be distinguished
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based on the spike counts. Plot the dependence of this measure as
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a function of the observation time $W$.
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a function of the observation time $W$ (width of the windows).
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For which slopes can the two stimuli be well discriminated?
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