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examplesNeuronal networks can make loops because a neuron has a direction (from dendrite to axon).

What's the smallest area in the cortex where we can find a loop and what are these loops?

I understand there are loops between different cortical areas through the white matter.

Experiments, like this one, show there are interactions between cortical layers. But it doesn't necessary mean there are loops.

Other experiments, like this one, looking at signals propagation in pieces of cortex with a cut showed the propagation could somehow circumvent the cut and keep propagating. Again it shows the existence of some local circuits but not necessarily loops.

Do we have a proof of local loops in the cortex? How large a piece of cortex has to be to contain a loop? What are these loops?

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    $\begingroup$ What do you mean with loop? Feedback loops? Sulci and gyri? $\endgroup$ – AliceD Sep 20 '16 at 16:04
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    $\begingroup$ I think you want to be looking at this. 'cycles' are the technical term you're looking for. researchgate.net/profile/Olaf_Sporns/publication/… $\endgroup$ – Russell Richie Sep 21 '16 at 4:47
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    $\begingroup$ Nothing -- it's just that in graph theory, which has been applied to biological neural networks, they're called cycles. $\endgroup$ – Russell Richie Sep 21 '16 at 20:33
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    $\begingroup$ For what it's worth, in the context of ANNs the term "recurrent" is usually used instead of cycles or loops. $\endgroup$ – SQLServerSteve Sep 23 '16 at 20:04
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    $\begingroup$ Firstly: Would you consider an autapse a loop? Would you consider reciprocal connection a 2 neuron loop? Would you consider a 25 neuron loop a loop? Secondly: Does it have to be to the specific single neurons or are you referring between neuron types? Thirdly: You say that you understand that there are loops between different cortical areas through white matter? Is this between specific neurons like your portray? Fourth: What type of evidence are you looking for? $\endgroup$ – nachosan Sep 30 '16 at 14:38
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I've read evidence for single-neuron, two-neuron, and larger loops/cycles throughout the cortex, including intralaminar, interlaminar, and interareal neural loops. But it would take me far too long to back that statement up.

Instead, I offer a list of papers to get you started. I've read all these papers, and they all provide evidence for neural loops in the cortex, especially two-neuron loops. Within these papers, search for "loop", "reciprocal", and, if you're interested in single-neuron loops, "autapse".

References

  • Alonso, J.-M. (2002) Neural Connections and Receptive Field Properties in the Primary Visual Cortex. The Neuroscientist. 8(5):443-456
  • Feldmeyer, D. (2012) Excitatory Neuronal Connectivity in the Barrel Cortex. Frontiers in Neuroanatomy. 6(24):1-22
  • Rockland, K.S. and Knutson, T. (2000) Feedback Connections from Area MT of the Squirrel Monkey to Areas V1 and V2. The Journal of Comparative Neurology. 425:345-368
  • Thomson, A.M., West, D.C., Wang, Y., and Bannnister, A.P. (2002) Synaptic Connections and Small Circuits Involving Excitatory and Inhibitory Neurons in Layers 2-5 of Adult Rat and Cat Neocortex: Triple Intracellular Recordings and Biocytin Labelling In Vitro. Cerebral Cortex. 12:936-953
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  • $\begingroup$ Would these loops classify as dynamic circuit motifs (Womelsdorf et al., 2014)? ncbi.nlm.nih.gov/pubmed/25065440 $\endgroup$ – noumenal Oct 2 '16 at 9:48
  • $\begingroup$ Thank you John. I didnt have time to read all. But the first ones got me to read this one: Reliable synaptic connections between pairs of excitatory layer 4 neurones within a single 'barrel' of developing rat somatosensory cortex. Feldmeyer D1, Egger V, Lubke J, Sakmann B. J Physiol. 1999 Nov 15;521 Pt 1:169-90. that finds that 31% of connected spiny stellate cells in the L4 studied are "bi-directional" Which are the 2-neurones loops i was talking about. So it's full of loops in the L4 and it's very interesting. $\endgroup$ – borilla Oct 6 '16 at 3:48
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Yes, absolutely there are loops, and they can occur on a very small spatial scale.

Do we have a proof of local loops in the cortex?

Here are a few papers that describe experimental quantification of small networks (2+ neurons) with recurrent connections in various patterns:

  • Sporns O, Kötter R. 2004. Motifs in Brain Networks. PLoS Biology 2:e369
  • Song S, Sjöström PJ, Reigl M, Nelson S, Chklovskii DB. 2005. Highly Nonrandom Features of Synaptic Local Connectivity in Local Cortical Circuits. Public Library of Science Biology 3:0507–0519
  • Perin R, Berger TK, Markram H. 2011. A Synaptic Organizing Principle for Cortical Neuronal Groups. Proceedings of the National Academy of Sciences 108:5419–5424

How large a piece of cortex has to be to contain a loop?

Judging from the experimental evidence I cited, loops of connections can occur on the scale of neighbouring neurons. That means, the smallest piece of cortex that contains a few neurons can contain a loop.

What are these loops?

I'm not sure what you're getting at here; if you are asking why there are loops, then we can only speculate. But even if connections were made randomly, loops would exist. A better question is why are there more bidirectional / motif connections than we expect by chance?

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  • $\begingroup$ great! Actually if you look at my comment to John's answer I found a paper saying the same things. What is interesting to me is how my question got so much negative feedback , got almost censured and was not understood. I will take a look at your papers as soon as i can. Thanks! $\endgroup$ – borilla Oct 16 '16 at 10:32
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What you're calling "loops" are usually referred to as Recurrent Neural Networks (as opposed to Feedforward Neural Networks).

Scholarpedia has an article on them, with a bibliography:

Typically... reviews consider RNNs that are artificial neural networks (aRNN) useful in technological applications. To complement these contributions, the present summary focuses on biological recurrent neural networks (bRNN) that are found in the brain. Since feedback is ubiquitous in the brain, this task, in full generality, could include most of the brain's dynamics. The current review divides bRNNS into those in which feedback signals occur in neurons within a single processing layer, which occurs in networks for such diverse functional roles as storing spatial patterns in short-term memory, winner-take-all decision making, contrast enhancement and normalization, hill climbing, oscillations of multiple types (synchronous, traveling waves, chaotic), storing temporal sequences of events in working memory, and serial learning of lists; and those in which feedback signals occur between multiple processing layers, such as occurs when bottom-up adaptive filters activate learned recognition categories and top-down learned expectations focus attention on expected patterns of critical features and thereby modulate both types of learning.

At least in this article (i just skimmed it) it looks like most of the presumed biological neural networks are inferred to exist from models, rather than having actually been found with a microscope.

John's answer lists some papers which sounds like they probably provide more direct evidence.

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