Simulating Self-Reproduction of Cells in a Two-Dimensional Cellular Automaton

Takeshi Ishida

doi:10.20965/jrm.2010.p0669

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JRM Vol.22 No.5 pp. 669-676

doi: 10.20965/jrm.2010.p0669

(2010)

Paper:

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Simulating Self-Reproduction of Cells in a Two-Dimensional Cellular Automaton

Takeshi Ishida

Dept. of Product Engineering and Environmental Management, Nippon Institute of Technology, 4-1 Gakuendai, Miyasiro, Minami-Saitama, Saitama 345-8501, Japan

Received:

February 19, 2010

Accepted:

June 8, 2010

Published:

October 20, 2010

Keywords:

self-reproduction, cellular automaton, cell division

Abstract

Clarifying generalized self-reproduction is basic to applications in fields such as molecular machine production in nanotechnology and synthetic biology. The two-dimensional cellular automaton model we developed simulated cellular self-reproduction using a few state transition rules.

Cite this article as:

T. Ishida, “Simulating Self-Reproduction of Cells in a Two-Dimensional Cellular Automaton,” J. Robot. Mechatron., Vol.22 No.5, pp. 669-676, 2010.

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References

[1] J. von Neumann, “Theory of self-replicating automata,” University of Illinois Press, 1966.
[2] D. Mange, A. Stauffer, L. Peparolo, and G. Tempesti, “A macroscopic view of self-replication,” Proc. of the IEEE 92, pp. 1929-1945, 2004.
[3] C. Langton ed., “Artificial Life,” pp. 1-48, Addison-Wesley, 1989.
[4] J. A. Reggia, J. D. Lohn, and H. H. Chou, “Self-replicating structures: Evolution, emergence, and computation,” Artificial Life, Vol.4, pp. 283-302, 1998.
[5] M. Sipper, “Fifty years of research on self-replication: An overview,” Artificial Life, Vol.4, pp. 237-257, 1998.
[6] P. Gray and S. K. Scott, “Autocatalytic reactions in the isothermal, continuous stirred tank reactor: oscillations and instabilities in the system A+2B→3B, B→C,” Chemical Engineering Science, Vol.39, pp. 1087-1097, 1984.
[7] J. E. Pearson, “Complex patterns in a simple system,” Science, Vol.261, pp. 189-192, 1993.
[8] A. M. Turing, “The chemical basis of morphogenesis,” Philosophical Transactions of the Royal Society, Vol.237, pp. 37-72, 1952.
[9] F. G. Feugier, A. Mochizuki, and Y. Iwasa, “Self-organization of the vascular system in plant leaves: Inter-dependent dynamics of auxin flux and carrier proteins,” J. of Theoretical Biology, Vol.236, pp. 366-375, 2005.
[10] T. Alarcón, H. M. Byrne, and P. K. Maini, “A cellular automaton model for tumour growth in inhomogeneous environment,” J. Theor. Biol., Vol.225, No.2, pp. 257-274, 2003.
[11] H. Suzuki and P. Dittrich, “Artificial Chemistry,” Artificial Life, Vol.15, pp. 1-3, 2009.
[12] M. Tomita, K. Hashimoto, K. Takahashi, T. Shimizu, Y. Matsuzaki, F. Miyashi, K. Saito, S. Tanida, K. Yugi, J. C. Venter, and C. Hutchison, “E-CELL: Software environment for whole-cell simulation,” Bioinformatics, Vol.15, pp. 72-84, 1999.
[13] N. Le Novere et al., “The systems biology graphical notation,” Nat biotechnology, Vol.27, pp. 735-741, 2009.

This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.

[1] [1] J. von Neumann, “Theory of self-replicating automata,” University of Illinois Press, 1966.

[2] [2] D. Mange, A. Stauffer, L. Peparolo, and G. Tempesti, “A macroscopic view of self-replication,” Proc. of the IEEE 92, pp. 1929-1945, 2004.

[3] [3] C. Langton ed., “Artificial Life,” pp. 1-48, Addison-Wesley, 1989.

[4] [4] J. A. Reggia, J. D. Lohn, and H. H. Chou, “Self-replicating structures: Evolution, emergence, and computation,” Artificial Life, Vol.4, pp. 283-302, 1998.

[5] [5] M. Sipper, “Fifty years of research on self-replication: An overview,” Artificial Life, Vol.4, pp. 237-257, 1998.

[6] [6] P. Gray and S. K. Scott, “Autocatalytic reactions in the isothermal, continuous stirred tank reactor: oscillations and instabilities in the system A+2B→3B, B→C,” Chemical Engineering Science, Vol.39, pp. 1087-1097, 1984.

[7] [7] J. E. Pearson, “Complex patterns in a simple system,” Science, Vol.261, pp. 189-192, 1993.

[8] [8] A. M. Turing, “The chemical basis of morphogenesis,” Philosophical Transactions of the Royal Society, Vol.237, pp. 37-72, 1952.

[9] [9] F. G. Feugier, A. Mochizuki, and Y. Iwasa, “Self-organization of the vascular system in plant leaves: Inter-dependent dynamics of auxin flux and carrier proteins,” J. of Theoretical Biology, Vol.236, pp. 366-375, 2005.

[10] [10] T. Alarcón, H. M. Byrne, and P. K. Maini, “A cellular automaton model for tumour growth in inhomogeneous environment,” J. Theor. Biol., Vol.225, No.2, pp. 257-274, 2003.

[11] [11] H. Suzuki and P. Dittrich, “Artificial Chemistry,” Artificial Life, Vol.15, pp. 1-3, 2009.

[12] [12] M. Tomita, K. Hashimoto, K. Takahashi, T. Shimizu, Y. Matsuzaki, F. Miyashi, K. Saito, S. Tanida, K. Yugi, J. C. Venter, and C. Hutchison, “E-CELL: Software environment for whole-cell simulation,” Bioinformatics, Vol.15, pp. 72-84, 1999.

[13] [13] N. Le Novere et al., “The systems biology graphical notation,” Nat biotechnology, Vol.27, pp. 735-741, 2009.