### Abstract

The neuronal network of the soil nematode Caenorhabditis elegans (C. elegans), which is a good prototype for biological studies, is investigated. Here, the neuronal network is simplified as a graph. We use three indicators to characterize the graph; vertex degree, generalized eccentricity (GE), and complete subgraphs. The graph has the central part and the strong clustering structure. We present a simple model, which shows that the neuronal network has a high-dimensional geometrical structure.

Original language | English |
---|---|

Pages (from-to) | 553-561 |

Number of pages | 9 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 298 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2001 Sep 15 |

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### Keywords

- C. elegans
- Geometrical structure
- Graph theory
- Neuronal network
- Small world

### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*298*(3-4), 553-561. https://doi.org/10.1016/S0378-4371(01)00266-7

**Geometrical structure of the neuronal network of Caenorhabditis elegans.** / Morita, S.; Oshio, K. I.; Osana, Y.; Funabashi, Y.; Oka, Kotaro; Kawamura, K.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 298, no. 3-4, pp. 553-561. https://doi.org/10.1016/S0378-4371(01)00266-7

}

TY - JOUR

T1 - Geometrical structure of the neuronal network of Caenorhabditis elegans

AU - Morita, S.

AU - Oshio, K. I.

AU - Osana, Y.

AU - Funabashi, Y.

AU - Oka, Kotaro

AU - Kawamura, K.

PY - 2001/9/15

Y1 - 2001/9/15

N2 - The neuronal network of the soil nematode Caenorhabditis elegans (C. elegans), which is a good prototype for biological studies, is investigated. Here, the neuronal network is simplified as a graph. We use three indicators to characterize the graph; vertex degree, generalized eccentricity (GE), and complete subgraphs. The graph has the central part and the strong clustering structure. We present a simple model, which shows that the neuronal network has a high-dimensional geometrical structure.

AB - The neuronal network of the soil nematode Caenorhabditis elegans (C. elegans), which is a good prototype for biological studies, is investigated. Here, the neuronal network is simplified as a graph. We use three indicators to characterize the graph; vertex degree, generalized eccentricity (GE), and complete subgraphs. The graph has the central part and the strong clustering structure. We present a simple model, which shows that the neuronal network has a high-dimensional geometrical structure.

KW - C. elegans

KW - Geometrical structure

KW - Graph theory

KW - Neuronal network

KW - Small world

UR - http://www.scopus.com/inward/record.url?scp=0035884790&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035884790&partnerID=8YFLogxK

U2 - 10.1016/S0378-4371(01)00266-7

DO - 10.1016/S0378-4371(01)00266-7

M3 - Article

AN - SCOPUS:0035884790

VL - 298

SP - 553

EP - 561

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -