ArticlePloS one2024
Fibration symmetries and cluster synchronization in the Caenorhabditis elegans connectome.
Article in PloS one, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Synchronization properties in C. elegans: Relating behavioral circuits to structural and functional neuronal connectivity.PLoS computational biology · 2026Article
- The role of fibration symmetries in geometric deep learning.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Symmetries and synchronization from whole-neural activity in theProceedings of the National Academy of Sciences of the United States of America · 2025Article
- Fibration symmetry-breaking supports functional transitions in a brain network engaged in language.ArXiv · 2024Article
- Fibration symmetry-breaking supports functional transitions in a brain network engaged in language.Research square · 2024Article
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Abstract
Capturing how the Caenorhabditis elegans connectome structure gives rise to its neuron functionality remains unclear. It is through fiber symmetries found in its neuronal connectivity that synchronization of a group of neurons can be determined. To understand these we investigate graph symmetries and search for such in the symmetrized versions of the forward and backward locomotive sub-networks of the Caenorhabditi elegans worm neuron network. The use of ordinarily differential equations simulations admissible to these graphs are used to validate the predictions of these fiber symmetries and are compared to the more restrictive orbit symmetries. Additionally fibration symmetries are used to decompose these graphs into their fundamental building blocks which reveal units formed by nested loops or multilayered fibers. It is found that fiber symmetries of the connectome can accurately predict neuronal synchronization even under not idealized connectivity as long as the dynamics are within stable regimes of simulations.
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