Coupled maps with growth and death: An approach to cell differentiation

Physica D: Nonlinear Phenomena

Volumn 103, Issue 1-4, 1997, Pages 505-527

  Kaneko, Kunihiko ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22244447153     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00282-5     Document Type: Article

References (48)

1. K. Kaneko, Progr. Theoret. Phys. 72 (1984) 480;
2. Physica D 34 (1989) 1;
3. Simulating physics with coupled map lattices, in: Formation, Dynamics, and Statistics of Patterns, eds. K. Kawasaki, A. Onuki and M. Suzuki (World Scientific, Singapore, 1990);
4. Collapse of Tori and Genesis of Chaos in Dissipative Systems (World Scientific, Singapore, 1986, based on thesis of 1983).
5. K. Kaneko, ed., Theory and Applications of Coupled Map Lattices (Wiley, New York, 1993);
6. Special Issue on CML, Chaos 2 (3) (1992).
7. B. Goodwin, Temporal Organization in Cells (Academic Press, London, 1963).
8. J. Tyson, B. Novak, G.M. Odell, K. Chen and C.D. Thron, Trends Biochem. Systems 21 (1996) 89.
9. S.A. Kauffman, The Origin of Order (Oxford University Press, Oxford, 1993).
10. A.M. Turing, Proc. Roy. Soc. London B 237 (1952) 641.
11. L. Glass and S.A. Kauffman, J. Theoret. Biol. 34 (1972) 219.
12. F.A. Bignone, J. Theoret. Biol. 161 (1993) 231.
13. K. Kaneko and T. Yomo, Isologous diversification: A theory of cell differentiation, Bull. Mat. Biology 59 (1997) 139.
14. K. Kaneko and T. Yomo, Physica D 75 (1994) 89.
15. K. Kaneko and T. Yomo, A theory of differentiation with dynamic clustering, in: Advances in Artificial Life, eds. E. Moran et al., Vol. 329 (Springer, Berlin, 1995).
16. K. Kaneko, Phys. Rev. Lett. 63 (1989) 219;
17. Physica D 41 (1990) 137.
18. K. Kaneko, Physica D 54 (1991) 5.
19. K. Okuda, Physica D 63 (1993) 424.
20. D. Dominguez and H.A. Cerdeira, Phys. Rev. Lett. 71 (1993) 3359.
21. N. Nakagawa and Y. Kuramoto, Progr. Theoret. Phys. 89 (1993) 313;
22. Physica D 75 (1994) 74;
23. V. Hakim and W.J. Rappel, Phys. Rev. A 46 (1992) 7347.
24. K. Kaneko, Phys. Rev. Lett. 65 (1990) 1391;
25. Physica D 55 (1992) 368;
26. Physica D 86 (1995) 158.
27. K. Kaneko and T. Ikegami, Physica D 56 (1992) 406;
28. T. Ikegami and K. Kaneko, Chaos 2 (1992) 397.
29. K. Kaneko, Artificial Life 1 (1994) 163-177.
30. K. Kaneko, Physica D 75 (1994) 55-73.
31. K. Kaneko, Physica D 77 (1994) 456.
32. W.M. Elsasser, Proc. Nat. Acad. Sci. 81 (1984) 5126.
33. A.S. Pikovsky and J. Kurths, Phys. Rev. Lett. 72 (1994) 1644.
34. G. Perez et al., Physica D 63 (1993) 341;
35. S. Sinha et al., Phys Rev. A 46 (1992) 6242.
36. H. Chaté and P. Manneville, Progr. Theoret. Phys. 87 (1992) 1.
37. I. Tsuda, in: Neurocomputers and Attention, eds. A.V. Holden and V.I. Kryukov (Manchester University Press, Manchester, 1990);
38. World Futures 32 (1991) 167;
39. Neural Networks 5 (1992) 313.
40. K. Ikeda, K. Matsumoto and K. Ohtsuka, Progr. Theoret. Phys. Suppl. 99 (1989) 295.
41. E. Ko, T. Yomo and I. Urabe, Physica D 75 (1994) 84.
42. A. Yao and H. Rubin, Proc. Nat. Acad. Sci. 91 (1994) 7712;
43. M. Chow, A. Yao and H. Rubin, Proc. Nat. Acad. Sci. ibid 91 (1994) 599;
44. H. Rubin, Proc. Nat. Acad. Sci. ibid 91 (1994) 1039;
45. H. Rubin, Proc. Nat. Acad. Sci. 91 (1994) 6619.
46. T. Shibata and K. Kaneko, Coupled Map Gas, in preparation.
47. K. Kaneko, unpublished.
48. E. Mjolsness, D.H. Sharp and J. Reinitz, J. Theoret. Biol. 152 (1991) 429.