Simple modeling of branching pattern formation in a reaction diffusion system with cellular automaton

Journal of the Physical Society of Japan

Volumn 76, Issue 3, 2007, Pages

  Motoike, Ikuko N ^a  

^a FUTURE UNIVERSITY HAKODATE   (Japan)

Author keywords

Bacterial colony; Branching pattern; Cellular automaton; DLA; Pattern formation; Reaction diffusion

Indexed keywords

EID: 33947236737     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.76.034002     Document Type: Article

References (28)

1. M. Häusser, N. Spruston, and G. J. Stuart: Science 290 (2000) 739.
2. T. A. Witten and L. M. Sander: Phys. Rev. Lett. 47 (1981) 1400.
3. A. M. Lacasta, I. R. Cantalapiedra, C. E. Auguet, A. Peñaranda, and L. Ramírez-Piscina: Phys. Rev. E 59 (1999) 7036.
4. M. Mimura, H. Sakaguchi, and M. Matsushita: Physica A 282 (2000) 283.
5. E. Ben-Jacob, O. Shochet, A. Tenenbaum, I. Cohen, A. Czirok, and T. Vicsek: Nature (London) 368 (1994) 46.
6. H. Levine and E. Ben-Jacob: Phys. Biol. 1 (2004) 14.
7. G. B. Ermentrout and L. Edelstein-Keshet: J. Theor. Biol. 160 (1993) 97.
8. A. Sakamoto and S. Ohta: J. Cryst. Growth 237-239 (2002) 169.
9. A. M. Turing: Philos. Trans. R. Soc. London, Ser. B 237 (1952) 37.
10. See, for instance, M. Gerhardt, H. Schuster, and J. J. Tyson: Physica D 46 (1990) 392.
11. J. Wakita, K. Komatsu, A. Nakahara, T. Matsuyama, and M. Matsushita: J. Phys. Soc. Jpn. 63 (1994) 1205.
12. H. Shimada, T. Ikeda, J. Wakita, H. Itoh, S. Kurosu, F. Hiramatsu, M. Nakatsuchi, Y. Yamazaki, T. Matsuyama, and M. Matsushita: J. Phys. Soc. Jpn. 73 (2004) 1082.
13. S. Kitsunezaki: J. Phys. Soc. Jpn. 66 (1997) 1544.
14. K. Kawasaki, A. Mochizuki, M. Matsushita, T. Umeda, and N. Shigesada: J. Theor. Biol. 188 (1997) 177.
15. M. Markus and B. Hess: Nature (London) 347 (1990) 56.
16. S. Tolman and P. Meakin: Phys. Rev. A 40 (1989) 428.
17. H. Fujikawa and M. Matsushita: J. Phys. Soc. Jpn. 58 (1989) 3875.
18. P. Meakin: Phys. Rev. A 27 (1983) 604.
19. H. Agmon-Snir, C. E. Carr, and J. Rinzel: Nature (London) 393 (1998) 268.
20. K. Agladze, R. R. Aliev, T. Yamaguchi, and K. Yoshikawa: J. Phys. Chem. 100 (1996) 13895.
21. O. Steinbock, P. Kettunen, and K. Showalter: J. Phys. Chem. 100 (1996) 18970.
22. I. Motoike and K. Yoshikawa: Phys. Rev. E 59 (1999) 5354.
23. I. N. Motoike and A. Adamatzky: Chaos Solitons Fractals 24 (2005) 107.
24. T. Ichino, Y. Igarashi, I. N. Motoike, and K. Yoshikawa: J. Chem. Phys. 118 (2003) 8185.
25. H. Nagahara, T. Ichino, and K. Yoshikawa: Phys. Rev. E 70 (2004) 036221.
26. A. Adamatzky: Computing in Nonlinear Media and Automata Collectives (IOP Publishing, Bristol, 2001).
27. T. Asai, Y. Nishimiya, and Y. Amemiya: IEICE Trans. Fundam. E85-A (2002) 2093.
28. N. A. Vlasenko, H.-G. Purwins, Z. L. Denisova, Ya. F. Kononets, F.-J. Niedernostheide, L. I. Veligura, and S. Zuccaro: Semicond. Phys. Quantum Electron. Optoelectron. 7 (2004) 82.