Homological scaffolds of brain functional networks

Networks, as efficient representations of complex systems, have appealed to scientists for a long time and now permeate many areas of science, including neuroimaging (Bullmore and Sporns 2009 Nat. Rev. Neurosci. 10, 186–198. (doi:10.1038/nrn2618)).

Traditionally, the structure of complex networks has been studied through their statistical properties and metrics concerned with node and link properties, e.g. degree-distribution, node centrality and modularity. Here, we study the characteristics of functional brain networks at the mesoscopic level from a novel perspective that highlights the role of in-homo-geneities in the fabric of functional connections.

This can be done by focusing on the features of a set of topological objects—homological cycles—associated with the weighted functional network. We leverage the detected topological information to define the homological scaffolds, a new set of objects designed to represent compactly the homological features of the correlation network and simultaneously make their homological properties amenable to networks theoretical methods.

As a proof of principle, we apply these tools to compare resting state functional brain activity in 15 healthy volunteers after intravenous infusion of placebo and psilocybin—the main psychoactive component of magic mushrooms. The results show that the homological structure of the brain’s functional patterns undergoes a dramatic change post-psilocybin, characterized by the appearance of many transient structures of low stability and of a small number of persistent ones that are not observed in the case of placebo.

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  • Patryk on The administration of psilocybin to healthy hallucinogen experienced volunteersHello everyone I'm on antidepressant from couple of years and I try many different types. Right now I have worst time ever. I try mushrooms which one found my self on last season 2016. I have found but that was very difficult for me. I go nearly ever…
  • terry hall on Help us treat depression!I would be very interested to hear about your research on your use of psychedelics , I would be very interested if you are looking for new volunteers for further trials , I am 50 years old and I have suffered with depression for 25 years and have fou…
  • Bob on The administration of psilocybin to healthy hallucinogen experienced volunteersHi, I have read your articles and I am currently on anti depressants. I have tried different kinds as I have mild PTSD from military service and suffer from depression constantly. I would very much like to assist and be a volunteer for future trials.
  • Chris noton on The administration of psilocybin to healthy hallucinogen experienced volunteersHello, I’m am 43 year old male living in oxford and suffered from depression and anxiety for 20 some years and I am a chronic suffer. I am very interested in participating on this type of drug trial. In my 20’s I have picked my own mushrooms once or…
  • Anonymous on Are you having a psychedelic experience in the near future?Hi All, I suffer from depression and anxiety and have done so for many years. After being placed on anti-depressants (again), I had a very bad response and the side effects of increased suicidal thoughts became unbearable. It was an everyday battle o…
  • J Moran on Help us treat depression!Hello, I am wondering if you have completed your research into the use of psychedelics to aid with depression. I suffer with it myself and want to know if you are still looking for volunteers? I am currently 20 years old, turning 21 in September. I a…
  • Leo Tognetti on The administration of psilocybin to healthy hallucinogen experienced volunteersHi Drew Thanks for sharing. What was your method?
  • Richard NAUGHTON on Help us treat depression!These mushrooms have powers beyond the understanding of the modern world that have been lost in translation since the dawn of man . I've used them and felt drawn to them and felt it was a calling . I collected them myself for 15 years ate them , drie…

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Homological scaffolds of brain functional networks
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