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Symmetry and network topology in neuronal circuits : complicity of form and function
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Stewart, Ian (2022) Symmetry and network topology in neuronal circuits : complicity of form and function. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 32 (14). doi:10.1142/s0218127422300336 ISSN 0218-1274.
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WRAP-symmetry-network-topology-neuronal-circuits-Stewart-2022.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only until 29 November 2023. Contact author directly, specifying your specific needs. - Requires a PDF viewer. Download (9Mb) |
Official URL: https://doi.org/10.1142/s0218127422300336
Abstract
Symmetries in the external world constrain the evolution of neuronal circuits that allow organisms to sense the environment and act within it. Many small “modular” circuits can be viewed as approximate discretizations of the relevant symmetries, relating their forms to the functions they perform. The recent development of a formal theory of dynamics and bifurcations of networks of coupled differential equations permits the analysis of some aspects of network behavior without invoking specific model equations or numerical simulations. We review basic features of this theory, compare it to equivariant dynamics, and examine the subtle effects of symmetry when combined with network structure. We illustrate the relation between form and function through examples drawn from neurobiology, including locomotion, peristalsis, visual perception, balance, hearing, location detection, decision-making, and the connectome of the nematode Caenorhabditis elegans.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| SWORD Depositor: | Library Publications Router | ||||||
| Library of Congress Subject Headings (LCSH): | Symmetry (Mathematics), Topology , Neural circuitry -- Mathematical models, Bifurcation theory | ||||||
| Journal or Publication Title: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering | ||||||
| Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||
| ISSN: | 0218-1274 | ||||||
| Official Date: | 29 November 2022 | ||||||
| Dates: |
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| Volume: | 32 | ||||||
| Number: | 14 | ||||||
| DOI: | 10.1142/s0218127422300336 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 13 January 2023 |
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