Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 100 No. 2 (1998) pp. 235-251

[ Full Text PDF : FREE ACCESS (884K) ]

A Model of Organization of Size Invariant Positional Information in Taxis of Physarum Plasmodium

— A Reaction-Diffusion System Regulated by Phase
of Chemical Oscillation —

Haruki Miura and Masafumi Yano

Research Institute of Electrical Communication, Tohoku University
Sendai 980-8577, Japan

(Received April 16, 1998)

Abstract:

It is assumed that positional information within a developing organism is represented by a morphogen gradient. However, it is not yet understood how positional information is organized in a size invariant manner. To achieve such size invariance, it is necessary for an organism to organize the polarity of positional information in advance. We focus on tactic behavior of the Physarum plasmodium and propose a model that describes the organization of size invariant positional information, in which the direction of the phase wave represents the polarity. We would like to point out that self-referential dynamics exist in our model, and their implementation is discussed. Our model may be applied to other developmental systems.


URL : http://ptp.ipap.jp/link?PTP/100/235/
DOI : 10.1143/PTP.100.235

[ Full Text PDF : FREE ACCESS (884K) ] Citation:


References:

  1. L. Wolpert, J. Theor. Biol. 25 (1969), 1.
  2. M. H. Cohen, Sympo. Soc. Exp. Biol. 25 (1971), 455.
  3. A. Gierer and H. Meinhardt, Kybernetik 12 (1972), 30.
  4. A. M. Turing, Phil. Trans. Roy. Soc. B237 (1952), 37.
  5. B. C. Goodwin and M. H. Cohen, J. Theor. Biol. 25 (1969), 49.
  6. T. Ueda, Y. Mori and Y. Kobatake, Exp. Cell Res. 169 (1987), 191.
  7. K. Natsume, Y. Miyake, M. Yano and H. Shimizu, Protoplasma 166 (1992), 55.
  8. K. Natsume, Y. Miyake, M. Yano and H. Shimizu, Cell Struct. Funct. 18 (1993), 111.
  9. T. Ueda, K. Matsumoto, T. Akitaya and Y. Kobatake, Exp. Cell Res. 162 (1986), 486.
  10. K. Natsume and M. Yano, unpublished data.
  11. N. Kamiya, Proc. Japan Acad. 46 (1970), 1026.
  12. K. E. Wohlfarth-Bottermann, Z. Pflanzenphysiol. 76 (1975), 14.
  13. Y. Yoshimoto and N. Kamiya, Protoplasma 95 (1978), 99.
  14. A. Grebecki and M. Cieslawska, Cytobiologie 17 (1978), 335.
  15. Y. Yoshimoto, F. Matsumura and N. Kamiya, Cell Motility 1 (1981), 433.
  16. R. Kuroda, S. Hatano, Y. Hiramoto and H. Kuroda, Protoplasma suppl. 1 (1988), 72.
  17. Y. Yoshimoto, T. Sakai and N. Kamiya, Protoplasma 109 (1981), 159.
  18. S. Nakamura, Y. Yoshimoto and N. Kamiya, Proc. Japan Acad. B58 (1982), 270.
  19. A. C. Durham and E. B. Ridgway, J. Cell Biol. 69 (1976), 218.
  20. Y. Miyake, H. Tada, M. Yano and H. Shimizu, Cell Struct. Funct. 19 (1994), 363.
  21. K. Matsumoto, T. Ueda and Y. Kobatake, J. Theor. Biol. 131 (1988), 175.
  22. Z. Hejnowicz and K. E. Wohlfarth-Bottermann, Planta 150 (1980), 144.
  23. K. Matsumoto, T. Ueda and Y. Kobatake, J. Theor. Biol. 122 (1986), 339.
  24. H. Tanaka, H. Yoshimura, Y. Miyake, J. Imaizumi, K. Nagayama and H. Shimizu, Protoplasma 138 (1987), 98.
  25. Y. Miyake, S. Tabata, H. Murakami, M. Yano and H. Shimizu, J. Theor. Biol. 178 (1996), 341.
  26. Y. Yoshimoto and N. Kamiya, Protoplasma 110 (1982), 63.
  27. B. Van der Pol, Phil. Mag. 7 (1926), 978.
  28. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 55 (1976), 356.
  29. Y. Kuramoto and T. Yamada, Prog. Theor. Phys. 56 (1976), 724.
  30. J. C. Neu, SIAM J. Appl. Math. 36 (1979), 509.
  31. Y. Miyake, M. Yano and H. Shimizu, Protoplasma 162 (1991), 175.
  32. D. A. Smith and R. Saldana, Biophys. J. 61 (1992), 368.
  33. A. Robertson, D. J. Drage and M. H. Cohen, Science 175 (1972), 333.