Different operations on a single circuit: Field computation on an excitable chemical system

Journal of Chemical Physics

Volumn 118, Issue 18, 2003, Pages 8185-8190

  Ichino, Takatoshi ^a,b   Igarashi, Yasuhiro ^a,b   Motoike, Ikuko N ^a,c   Yoshikawa, Kenichi ^a  

^a NAGOYA UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c FUTURE UNIVERSITY HAKODATE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIODE LOGIC CIRCUITS; MIXTURES; NUMERICAL METHODS; OPTICAL FILTERS; SYNTHESIS (CHEMICAL);

GEOMETRICAL CIRCUIT; LIGHT ILLUMINATION;

NETWORKS (CIRCUITS);

EID: 0038476411     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1565103     Document Type: Article

References (33)

1. J. Neumann, The Computer and the Brain (Yale University Press, New Haven, CT, 1958), p. 66.
2. A. M. Tuning, Proc. London Math. Soc. 42, 230 (1936-1937).
3. D. O. Hebb, The Organization of Behavior (Wiley, New York, 1949), p. 60.
4. D. Purves et al., Neuroscience (Sinauer Associates, Sunderland, MA, 2001), p. 519.
5. M. A. Arbib, P. Érdi, and J. Szentágothai, Neural Organization (MIT Press, Cambridge, MA, 1998).
6. D. E. Rumelhart, G. E. Hilton, and R. J. Williams, in Parallel Distributed Processing: Explorations in the Microstructure of Cognition, edited by D. Rumenlhart and J. McClelland (MIT Press, Cambridge, MA, 1986), p. 318.
7. J. J. Hopfield, Proc. Natl. Acad. Sci. U.S.A. 79, 2554 (1982).
8. Á. Tóth and K. Showalter, J. Chem. Phys. 103, 2058 (1995).
9. O. Steinbock, P. Kettunen, and K. Showalter, J. Phys. Chem. 100, 18970 (1996).
10. A. N. Zakin and A. M. Zhabotinsky, Nature (London) 225, 535 (1970).
11. A. T. Winfree, Science 175, 634 (1972).
12. K. Agladze, R. R. Alive, T. Yamaguchi, and K. Yoshikawa, J. Phys. Chem. 100, 13895 (1996).
13. I. Motoike and K. Yoshikawa, Phys. Rev. E 59, 5354 (1999).
14. T. Kusumi, T. Yamaguchi, R. R. Aliev, T. Amemiya, T. Ohmori, H. Hashimoto, and K. Yoshikawa, Chem. Phys. Lett. 271, 355 (1997).
15. I. N. Motoike, K. Yoshikawa, Y. Iguchi, and S. Nakata, Phys. Rev. E 63, 036220 (2001).
16. I. Sendiña-Nadal, M. de Castro, F. Sagués, and M. Gómez-Gesteira, Phys. Rev. E 66, 016215 (2002).
17. Á. Tóth, D. Horváth, and K. Yoshikawa, Chem. Phys. Lett. 345, 471 (2001).
18. L. Kuhnert, Nature (London) 319, 393 (1986).
19. L. Kuhnert, Naturwissenschaften 73, 96 (1986).
20. K. Agladze, Á. Tóth, T. Ichino, and K. Yoshikawa, J. Phys. Chem. A 104, 6677 (2000).
21. I. Fujita and H. Kobayashi, Ber. Bunsenges. Phys. Chem. 76, 115 (1972).
22. R. A. Palmer and T. S. Piper, Inorg. Chem. 5, 864 (1966).
23. R. J. Field and R. M. Noyes, J. Chem. Phys. 60, 1877 (1974).
24. J. J. Tyson and P. C. Fife, J. Chem. Phys. 73, 2224 (1980).
25. H.-J. Krug, L. Pohlman, and L. Kuhnert, J. Phys. Chem. 94, 4862 (1990).
26. T. Amemiya, S. Kádár, P. Kettunen, and K. Showalter, Phys. Rev. Lett. 77, 3244 (1996).
27. A. Lázár, Z. Noszticzius, H.-D. Försterling, and Z. Nagy-Ungvárai, Physica D 84, 112 (1995).
28. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, New York, 1992).
29. J. P. Keener and J. J. Tyson, Physica D 21, 307 (1986).
30. Ch. Goßben, F.-J. Niedernostheide, and H.-G. Purwins, in Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices, Springer Proceedings in Physics, Vol. 79, edited by F.-J. Niedernostheide (Springer, Berlin, 1995), p. 112.
31. T. Asai, Y. Nishimiya, and Y. Amemiya, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E85-A, 2093 (2002).
32. M. Konishi et al., in Auditory Function, edited by G. M. Edelman, W. E. Gall, and W. M. Cowan (Wiley, New York, 1988), p. 721.
33. J. Perez-Orive, O. Mazor, G. C. Turner, S. Cassenaer, R. I. Wilson, and G. Laurent, Science 297, 359 (2002).