diff --git a/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex b/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex index c2c45be..24cb00a 100644 --- a/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex +++ b/projects/project_stimulus_reconstruction/stimulus_reconstruction.tex @@ -11,28 +11,33 @@ %%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%% \section*{Reverse reconstruction of the stimulus that evoked a neuronal response.} -To analyse encoding properties of a neuron one often calculates the +To analyse the encoding properties of a neuron one often calculates the Spike-Triggered-Average (STA). The STA is the average stimulus that led to a spike in the neuron: \[ STA(\tau) = \frac{1}{n} \displaystyle\sum_{i=1}^{n}{s(t_i - \tau)} \] where $n$ is the number of spikes and $t_i$ is the time of the $i_{th}$ spike. $\tau$ is a temporal shift relative to the spike time. For the beginning let $\tau$ assume values in the range -$\pm50$\,ms. It can be estimated by cutting out snippets form the -stimulus centered on the respective spike time and averaging them. The -Spike-Triggered-Average can be used to reconstruct the stimulus from -the neuronal response. The reconstructed stimulus can then be compared -to the original stimulus. +$\pm50$\,ms. The STA can be estimated by cutting out snippets from the +stimulus that are centered on the respective spike time and by +subsequently averaging them. The STA can be used to reconstruct the +stimulus from the neuronal response. The reconstructed stimulus can +then be compared to the original stimulus and provides a good +impression about the features that are encoded in the neuronal +response. \begin{questions} - \question In the accompanying data files you find the spike responses of - a p-type electroreceptor afferent (P-unit) and a pyramidal neuron - recorded in the hindbrain of the weakly electric fish - \textit{Apteronotus leptorhynchus}. The respective stimuli are - stored in separate files. The data is sampled with 20\,kHz temporal - resolution and spike times are given in seconds. Start with the - P-unit and, in the end, apply the same analyzes/functions to the - responses from the pyramidal neuron. + \question In the accompanying data files you find the spike + responses of a p-type electroreceptor afferent (P-unit) and a + pyramidal neuron recorded in the hindbrain of the weakly electric + fish \textit{Apteronotus leptorhynchus}. The respective stimuli are + stored in separate files. The neron is stimulated with an amplitude + modulation of the fish's own electric field. The stored stimulus + trace is the modulator that is applied to the field and is + dimensionless, i.e. it has not unit. The data is sampled with + 20\,kHz temporal resolution and spike times are given in + seconds. Start with the P-unit and, in the end, apply the same + analyzes/functions to the responses from the pyramidal neuron. \begin{parts} \part Estimate the STA and plot it. What does it tell? \part Implement a function that does the reverse reconstruction and uses the STA to reconstruct the stimulus.