TY - JOUR

T1 - Geometrical structure of the neuronal network of Caenorhabditis elegans

AU - Morita, Satoru

AU - Oshio, Ken ichi

AU - Osana, Yuko

AU - Funabashi, Yasuhiro

AU - Oka, Kotaro

AU - Kawamura, Kiyoshi

N1 - Funding Information:
We would like to thank H. Kagawa, R. Hosono and S. Mitani for their lectures, which motivated this research. We also thank H. Takano, S. Gomi, Y. Iwasaki, K. Omata and E. Akiyama for fruitful discussion and helpful comments. This research is supported by Japan Society for Promotion of Science under the contract number RFTF96I00102.

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

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

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

M3 - Article

AN - SCOPUS:0035884790

SN - 0378-4371

VL - 298

SP - 553

EP - 561

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -