Nonrandom network connectivity comes in pairs
- Overrepresentation of bidirectional connections in local cortical networks has been repeatedly reported and is a focus of the ongoing discussion of nonrandom connectivity. Here we show in a brief mathematical analysis that in a network in which connection probabilities are symmetric in pairs, Pij = Pji, the occurrences of bidirectional connections and nonrandom structures are inherently linked; an overabundance of reciprocally connected pairs emerges necessarily when some pairs of neurons are more likely to be connected than others. Our numerical results imply that such overrepresentation can also be sustained when connection probabilities are only approximately symmetric.
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| Author: | Felix Z. HoffmannORCiD, Jochen TrieschORCiD |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-442587 |
| DOI: | https://doi.org/10.1162/NETN_a_00004 |
| ISSN: | 2472-1751 |
| Pubmed Id: | https://pubmed.ncbi.nlm.nih.gov/29601066 |
| Parent Title (German): | Network neuroscience |
| Publisher: | The MIT Press |
| Place of publication: | Cambridge, Massachusetts, Vereinigte Staaten |
| Contributor(s): | Olaf Sporns |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2017/06/01 |
| Date of first Publication: | 2017/04/03 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2017/06/01 |
| Tag: | Bidirectional connections; Cortical circuit; Nonrandom connectivity; Random graph model |
| Volume: | 1 |
| Issue: | 1 |
| Page Number: | 11 |
| First Page: | 31 |
| Last Page: | 41 |
| Note: | Copyright: © 2017 Massachusetts Institute of Technology. Published under a Creative Commons Attribution 4.0 International (CC BY 4.0) license |
| HeBIS-PPN: | 428659217 |
| Institutes: | Physik / Physik |
| Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie |
| Sammlungen: | Universitätspublikationen |
| Open-Access-Publikationsfonds: | Physik |
| Licence (German): |  Creative Commons - Namensnennung 4.0 |
