Peristimulus time histogram

<h2 id="construction-procedure">Construction procedure</h2>
<ol><li>Align spike sequences with the onset of a stimulus that is repeated n times. For periodic stimuli, wrap the response sequence back to time zero after each time period T, and count n as the total number of periods of data.</li>
<li>Divide the stimulus period or observation period T into N bins of size 
 
 
 
 Δ
 
 
 {\displaystyle \Delta }
 
.</li>
<li>Count the number of spikes ki from all n sequences that fall in the bin i.</li>
<li>Draw a bar-graph histogram with the bar-height of bin i given by 
 
 
 
 
 
 
 k
 
 i
 
 
 
 n
 Δ
 
 
 
 
 
 {\displaystyle {\frac {k_{i}}{n\Delta }}}
 
 in units of estimated spikes per second at time 
 
 
 
 i
  
 Δ
 
 
 {\displaystyle i\ \Delta }
 
.</li></ol>
The optimal bin size (assuming an underlying Poisson point process) Δ is a minimizer of the formula, (2k-v)/Δ2, 
where k and v are mean and variance of ki.
<a class="footnote-ref" id="fnref:3" href="#fn:3">3</a>

<h2 id="references">References</h2>

<ol>
<li id="fn:1">Franklin Bretschneider and Jan R. De Weille (2006). Introduction to Electrophysiological Methods and Instrumentation. Academic Press. ISBN 978-0-12-370588-4. Retrieved 2016-05-29. <a href="978-0-12-370588-4" target="_blank">978-0-12-370588-4</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></li>
<li id="fn:2">Palm, G.; Aertsen, A. M.; Gerstein, G. L. (1988). "On the significance of correlations among neuronal spike trains". Biological Cybernetics. 59 (1): 1–11. doi:10.1007/BF00336885. PMID 3401513. S2CID 21290102. <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></li>
<li id="fn:3">Shimazaki, H.; Shinomoto, S. (2007). "A method for selecting the bin size of a time histogram". Neural Computation. 19 (6): 1503–152. CiteSeerX 10.1.1.304.6404. doi:10.1162/neco.2007.19.6.1503. PMID 17444758. S2CID 7781236. <a href="/wiki/CiteSeerX_(identifier)" target="_blank">/wiki/CiteSeerX_(identifier)</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></li>
</ol>

Peristimulus time histogram open-in-new

Peristimulus time histogram