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Emerging cell array based on reaction–diffusion

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Abstract

This article demonstrates the self-replication and self-organization phenomena based on a reaction–diffusion mechanism by computer simulation. The simulation model consists of a one-dimensional cell array. Each cell contains two kinds of chemical substances, activator u and inhibitor v, that can generate a reaction–diffusion wave, which is a spatial concentration pattern. The cells are supposed to be divided or deleted depending on the concentrations of chemical substances. We tried several kinds of diffusion coefficient in the model, and in some simulations, a self-replication process and a generating cell array with a metabolic process were observed. By applying the division rule and the apoptosis rule, cell arrays duplicate in two oscillating states, i.e., self-replication processes were observed. By applying a division rule and an annihilation rule, a cell array that has a stable length is generated by changing the cell components, i.e., generating a cell array by a metabolic process was observed. Surprisingly, these two phenomena are realized independently of the initial number of cells.

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Author information

Authors and Affiliations

  1. Department of Informatics, University of Zurich, Andreasstrasse 15, CH8050, Zurich, Switzerland

    Shuhei Miyashita

  2. Tokyo Institute of Technology, Yokohama, Japan

    Satoshi Murata

Authors
  1. Shuhei Miyashita
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  2. Satoshi Murata
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Corresponding author

Correspondence to Shuhei Miyashita.

Additional information

This work was presented in part at the 11th International Symposium on Artificial Life and Robotics, Oita, Japan, January 23–25, 2006

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Cite this article

Miyashita, S., Murata, S. Emerging cell array based on reaction–diffusion. Artif Life Robotics 11, 32–36 (2007). https://doi.org/10.1007/s10015-006-0394-8

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  • DOI: https://doi.org/10.1007/s10015-006-0394-8

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