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The Effect of Removal of Self-loop for Attractor in Cell Cycle Network

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Unifying Themes in Complex Systems IX (ICCS 2018)

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Abstract

We numerically investigated the role of degenerate self-loops on the attractors and its basin size of the ES cell network of C.elegans. It is found that for the point attractors a simple division rule of the state space is caused by removing the self-loops of the network.

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Author information

Authors and Affiliations

  1. Department of Mathematical Engineering, Faculty of Engeneering at Musashino University, 3-3-3 Ariake Koutou-ku, Tokyo, 135-0063, Japan

    Shu-ichi Kinoshita

  2. Institute for Advanced Study of Mathematical Sciences (MIMS), Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan

    Shu-ichi Kinoshita

  3. Yamada Physics Research Labolatory (YPRL), 5-7-14-205 Aoyama, Niigata, 950-2002, Japan

    Hiroaki Yamada

Authors
  1. Shu-ichi Kinoshita
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  2. Hiroaki Yamada
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Corresponding author

Correspondence to Shu-ichi Kinoshita .

Editor information

Editors and Affiliations

  1. New England Complex Systems Institute, Cambridge, MA, USA

    Alfredo J. Morales

  2. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Mexico, Distrito Federal, Mexico

    Carlos Gershenson

  3. New England Complex Systems Institute and University of Massachusetts, Cambridge, MA, USA

    Dan Braha

  4. Department of Electrical Engineering and Computer Science, University of Cincinnati, Cincinnati, OH, USA

    Ali A. Minai

  5. New England Complex Systems Institute, Cambridge, MA, USA

    Yaneer Bar-Yam

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Kinoshita, Si., Yamada, H. (2018). The Effect of Removal of Self-loop for Attractor in Cell Cycle Network. In: Morales, A., Gershenson, C., Braha, D., Minai, A., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems IX. ICCS 2018. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-96661-8_35

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