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It turns out that my work in nonlinear dynamics directly maps to a close variant of the Integrate and Fire model. My model produces spatiotemporal patterns that resemble foam. I have to stress that this is the result of an exceedingly simple model of neuronal activity.

The plot below visualizes the voltage levels of a network of neurons. Yellow is high, purple is low.

I am wondering is these patterns are relevant to the computational neuroscience community. To this end, I am looking for literature describing spatiotemporal patterns in (preferably biological) neural systems.

I am especially interested in any work that proposes metrics that characterise such patterns since this would allow for a quantitative comparison with my results.

Forgive me is this seems trivial to you, but coming form complex systems theory I did my best and found nothing.

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  • $\begingroup$ Maybe look at the neural correlation literature? It often involves looking at statistical structures (patterns) of population codes. $\endgroup$ – user3658307 Aug 7 '17 at 14:09
  • $\begingroup$ I will take a look as you suggest. The term population codes is very useful to me. Can you make your direction more precise (specific book/paper)? I know I am asking for a lot. $\endgroup$ – Dionysios Georgiadis Aug 8 '17 at 8:53
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Unfortunately, I haven't looked at this sort of literature for a long time, but here are some thoughts with which to start.

Your question is about "spatiotemporal patterns" of neural systems. One of the first things that comes to mind is neural oscillations (e.g. alpha waves). This is essentially looking for the presence of "frequency patterns" in the neural system. This has a huge amount of literature.

Another methodology that comes to mind is the graph-theoretic approach. In essence, functional or anatomical activity is used to build a graph, which can be analyzed for patterns (i.e. special properties of the graphs of neural systems that are, say, shared across species). One paper: Complex brain networks: graph theoretical analysis of structural and functional systems by Bullmore and Sporns.

Separately, I might think about the neural correlations literature. Essentially, this is analyzing a neural population by examining the correlation structure of its members, and looking for patterns within it (i.e. that characterize the population code of the system). Two review papers: Neural correlations, population coding, and computation by Averbeck et al and Measuring and interpreting neural correlations by Cohen and Kohn. For a review on population codes, see Information processing with population codes by Pouget et al. This notion is sort of orthogonal to the notion of sparse coding in neural networks, more prevalent in sensory perception.

Sorry if this is broad, but then again I feel the question is quite broad as well. If you have more specific questions, let me know.

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  • $\begingroup$ This is broad, just like the question is. As someone coming form a different field, this is what I wanted, general directions. Thank you. $\endgroup$ – Dionysios Georgiadis Aug 10 '17 at 1:01

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