Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
versions View all 3 versions
addClaim

Born Free, Bound by Function: The Topological Lifecycle of the C. elegans Connectome

Authors: Gebendorfer, Jonas Jakob;

Born Free, Bound by Function: The Topological Lifecycle of the C. elegans Connectome

Abstract

How does a nervous system acquire its topology? We introduce the Spearman rank correlation between node degree k(v) and local clustering coefficient σ(v)—denoted corr(k,σ)—as a scalar order parameter for network development and apply it to the eight serial-section electron microscopy connectomes of Caenorhabditis elegans reconstructed by Witvliet et al. (2021), spanning from hatching to adulthood. We report five principal findings. First, the newborn connectome (dataset 1) exhibits corr(k,σ) ≈ 0, indicating dimensional independence between local clustering and global connectivity—a state we term the membrane phase. Development proceeds away from this state toward increasingly negative correlation, as hub neurons progressively lose triangles while peripheral neurons gain them. Second, a covariance decomposition of the multiplex network into chemical-synapse and gap-junction layers reveals that both layers contribute negative covariance in the same direction, with chemical synapses dominating the total signal at approximately 9:1 ratio—demonstrating topological dominance, not interference. Third, edges present in both layers simultaneously (overlap dyads, growing from 18 to 135 across development) exhibit 5–8× enrichment for triangle participation, identifying them as crystallization nuclei for local clustering. Fourth, simulated degradation of the adult connectome reveals that approximately 50% edge loss returns corr(k,σ) to zero—a ghost membrane that is topologically isomorphic to the birth state but structurally impoverished, with depleted triangle counts distinguishing ruin from potential. Fifth, combining empirical data with simulation and backward extrapolation yields a complete lifecycle trajectory: Embryo(≈+) → Birth(≈0) → Adult(≈−) → Ghost(≈0) → Death(≈+), crossing the membrane phase twice—once with developmental potential, once as structural ruin. These findings reframe neural development as ontogenesis from freedom rather than toward it, and suggest that corr(k,σ) may serve as a clinically translatable biomarker for neurodegenerative disease, where the approach toward zero could mark a pre-symptomatic transition window.

Keywords

Cell biology, Evolution, Physics, Cognitive Neuroscience, FOS: Clinical medicine, Neurosciences, Evolutionary biology, Applied mathematics, Topology, Biological Evolution, Computational topology, Neurosciences/methods, Semantics, Graph theory, Machine Learning, Deep Learning, Computational neuroscience, FOS: Mathematics, Semantic Physics, Thermodynamics, Biology, Mathematical Computing, Mathematics, Information network

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Related to Research communities
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!