Emerging cell array based on reaction–diffusion |
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Authors: | Shuhei Miyashita Satoshi Murata |
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Affiliation: | (1) Department of Informatics, University of Zurich, Andreasstrasse 15, CH8050 Zurich, Switzerland;(2) Tokyo Institute of Technology, Yokohama, Japan |
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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.
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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Keywords: | Reaction Diffusion Morphogenesis |
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