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\begin{document} \begin{document}
\input{../instructions.tex} \input{../instructions.tex}
Sensory adaptation is a process that results in a reduced sensitivity of the sensory system to a stimulus. One of the best known examples might be the light adaptation of the eye to constant illumination. The light adaptation that we all know depends on a multitude of processes that regulate the eye sensitivity. Adaptation is not limited to the visual system but is observed even in the responses of individual neurons.
Stimulating a neuron with a constant stimulus for an extended period Stimulating a neuron with a constant stimulus for an extended period
of time often results in a decay of an initially strong response. This of time often results in a decay of an initially strong response. Your task here is to analyze the spike-frequency adaptation observed in the p-type electroreceptor afferents (aka. P-units) in the electrosensory periphery of the
process is called adaptation. Your task here is to estimate the of the weakly electric fish \textit{Apteronotus leptorhynchus}. P-units are driven by the fish's own electric field and changes of field's amplitude leads to a modulation of the cell's firing rate. Extended stimulation with an increased field amplitude allows to observe the exponentially decaying firing rate. While the light adaptation of the human eye is relatively slow, the firing rate adaptation observed in P-units is quite fast. It is your task to estimate how fast it is.
time-constant of the firing-rate adaptation in P-unit electroreceptors
of the weakly electric fish \textit{Apteronotus leptorhynchus}.
\begin{questions} \begin{questions}
\question In the accompanying datasets you find the \question In the accompanying datasets you find the
\textit{spike\_times} of an P-unit electroreceptor to a stimulus of \textit{spike\_times} of an P-unit electroreceptor to a stimulus of
a certain intensity, i.e. the \textit{contrast} which is also stored a certain intensity, i.e. the \textit{contrast} which is also stored
in the file. The contrast of the stimulus is a measure relative to in the file. The contrast of the stimulus is a measure relative to
the amplitude of fish's field and is given in percent. The data is sampled the amplitude of fish's own field amplitude and is given in percent. The data is sampled
with 20\,kHz sampling frequency and spike times are given in with 20\,kHz sampling frequency and spike times are given in
milliseconds (not seconds!) relative to stimulus onset. milliseconds (not seconds!) relative to stimulus onset.
\begin{parts} \begin{parts}

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%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
\section*{Light responses of an insect photoreceptor.} \section*{Light responses of an insect photoreceptor.}
Fly R\,1--6 photoreceptors respond to light-on stimuli with graded membrane Insect R\,1--6 photoreceptors respond to light-on stimuli with graded membrane
potential changes. In the acompanying datasets you find the membrane potential changes. In the acompanying datasets you find the membrane
potential of a single R\,1-6 photoreceptor that was recorded while the receptor was potential of a single R\,1-6 photoreceptor from the fly \textit{Calliphora vicina}. The receptor was
stimulated with a light stimulus of different amplitudes. stimulated with a light stimulus of different amplitudes.
\begin{questions} \begin{questions}
\question{} The accompanying dataset (photoreceptor\_data.zip) \question{} The accompanying dataset (photoreceptor\_data.zip)
contains seven mat files. Each of these holds the data from one contains seven mat files. Each of these holds the data recorded with one
stimulus intensity and contains three variables. (i) stimulus intensity and contains three variables. (i)
\textit{voltage} a matrix with the recorded membrane potential from \textit{voltage} a matrix with the recorded membrane potential from
10 consecutive trials, (ii) \textit{time} a matrix with the 10 consecutive trials, (ii) \textit{time} a matrix with the