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[pointprocesses] minor language fixes

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Jan Grewe 2020-01-17 10:04:29 +01:00
parent 8131a859c2
commit 1016584efb
1 changed files with 10 additions and 12 deletions
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22
pointprocesses/lecture/pointprocesses.tex
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@ -15,8 +15,8 @@ series of spike times, which are termed \enterm{spiketrains}. If
measurements are repeated we get several \enterm{trials} of measurements are repeated we get several \enterm{trials} of
spiketrains (\figref{rasterexamplesfig}). spiketrains (\figref{rasterexamplesfig}).
Spiketrains are times of events, the action potentials. The analysis Spiketrains are times of events, the action potentials. Analyzing
of these leads into the realm of the so called \entermde[point spike trains leads into the realm of the so called \entermde[point
process]{Punktprozess}{point processes}. process]{Punktprozess}{point processes}.
\begin{figure}[ht] \begin{figure}[ht]
@ -25,11 +25,11 @@ of these leads into the realm of the so called \entermde[point
ten trials of data illustrating the times of the action ten trials of data illustrating the times of the action
potentials. Each vertical dash illustrates the time at which an potentials. Each vertical dash illustrates the time at which an
action potential was observed. Each line displays the events of action potential was observed. Each line displays the events of
one trial. Shown is a stationary point process (left, homogeneous one trial. Shown is a stationary point process (homogeneous point
point process with a rate $\lambda=20$\;Hz, left) and an process with a rate $\lambda=20$\;Hz, left) and an non-stationary
non-stationary point process (right, perfect integrate-and-fire point process (perfect integrate-and-fire neuron driven by
neuron dirven by Ohrnstein-Uhlenbeck noise with a time-constant Ohrnstein-Uhlenbeck noise with a time-constant $\tau=100$\,ms,
$\tau=100$\,ms, right).} right).}
\end{figure} \end{figure}
@ -46,7 +46,7 @@ of these leads into the realm of the so called \entermde[point
\item Earthquake: defined by the dynamics of the pressure between \item Earthquake: defined by the dynamics of the pressure between
tectonical plates. tectonical plates.
\item Communication calls in crickets/frogs/birds: shaped by \item Communication calls in crickets/frogs/birds: shaped by
the dynamics of the nervous system and the muscle appartus. the dynamics of the nervous system and the muscle apparatus.
\end{itemize} \end{itemize}
\end{ibox} \end{ibox}
@ -333,10 +333,8 @@ How the firing rate $r(t)$ changes over time is the most important
measure, when analyzing non-stationary spike trains. The unit of the measure, when analyzing non-stationary spike trains. The unit of the
firing rate is Hertz, i.e. the number of action potentials per firing rate is Hertz, i.e. the number of action potentials per
second. There are different ways to estimate the firing rate and three second. There are different ways to estimate the firing rate and three
of these methods are illustrated in \figref{psthfig}. All of of these are illustrated in \figref{psthfig}. All have their own
these have their own justifications and pros- and cons. In the justifications, their pros- and cons.
following we will discuss these methods more
closely.
\begin{figure}[tp] \begin{figure}[tp]
\includegraphics[width=\columnwidth]{firingrates} \includegraphics[width=\columnwidth]{firingrates}