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Wiring cost in the organization of a biological neuronal network

Author

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  • Ahn, Yong-Yeol
  • Jeong, Hawoong
  • Kim, Beom Jun

Abstract

To find out the role of the wiring cost in the organization of the neuronal network of the nematode Caenorhabditis elegans, we build the spatial neuronal map of C. elegans based on geometrical positions of neurons. We show that the number of interneuronal connections of the Euclidean length d decays exponentially with d, implying that the wiring cost, defined as the sum of the interneuronal distances, plays an important role in the actual neuronal network. Using the two methods to shuffle the neuronal network in systematic ways, the edge exchange and the vertex swapping, we show that positions of neurons are not randomly distributed but organized to reduce the wiring cost. Furthermore, we discuss the trade-off between the wiring cost and the performance of the network.

Suggested Citation

  • Ahn, Yong-Yeol & Jeong, Hawoong & Kim, Beom Jun, 2006. "Wiring cost in the organization of a biological neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 531-537.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:531-537
    DOI: 10.1016/j.physa.2005.12.013
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    Citations

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    Cited by:

    1. Yuhan Chen & Shengjun Wang & Claus C Hilgetag & Changsong Zhou, 2017. "Features of spatial and functional segregation and integration of the primate connectome revealed by trade-off between wiring cost and efficiency," PLOS Computational Biology, Public Library of Science, vol. 13(9), pages 1-37, September.
    2. Marcus Kaiser & Claus C Hilgetag, 2006. "Nonoptimal Component Placement, but Short Processing Paths, due to Long-Distance Projections in Neural Systems," PLOS Computational Biology, Public Library of Science, vol. 2(7), pages 1-11, July.
    3. David Samu & Anil K Seth & Thomas Nowotny, 2014. "Influence of Wiring Cost on the Large-Scale Architecture of Human Cortical Connectivity," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-24, April.
    4. Badhwar, Rahul & Bagler, Ganesh, 2017. "A distance constrained synaptic plasticity model of C. elegans neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 313-322.
    5. Julian M L Budd & Krisztina Kovács & Alex S Ferecskó & Péter Buzás & Ulf T Eysel & Zoltán F Kisvárday, 2010. "Neocortical Axon Arbors Trade-off Material and Conduction Delay Conservation," PLOS Computational Biology, Public Library of Science, vol. 6(3), pages 1-25, March.
    6. Antoine Allard & M Ángeles Serrano, 2020. "Navigable maps of structural brain networks across species," PLOS Computational Biology, Public Library of Science, vol. 16(2), pages 1-20, February.

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