A mathematical model for the hippocampus: Towards the understanding of episodic memory and imagination

Progress of Theoretical Physics Supplement

Volumn , Issue 173, 2008, Pages 99-108

  Tsuda, Ichiro ^a   Yamaguti, Yutaka ^a   Kuroda, Shigeru ^a   Fukushima, Yasuhiro ^b   Tsukada, Minoru ^b  

^a HOKKAIDO UNIVERSITY   (Japan)

^b TAMAGAWA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54049096364     PISSN: 03759687     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTPS.173.99     Document Type: Conference Paper

References (60)

1. E. Tulving, in Organization of Memory, ed. E. Tulving and W. Donaldson (Academic Press, 1972), p. 381.
2. W. B. Scoville and B. Milner, J. Neurol. Neurosurg. Psychiatr. 20 (1957), 11.
3. S. Zola-Morgan, L. R. Squire and D. G. Amaral, J. Neurosci. 6(1986), 2950.
4. J. O'Keefe and J. Dostrovsky, Brain Res. 34 (1971), 171.
5. G. Dalla Barba, Z. Nedjam and B. Dubois, Cogn. Neuropsychol. 16 (1999), 385.
6. D. Hassabis, D. Kumaran, S. D. Vann and E. A. Maguire, Proc. Natl. Acad. Sci. USA 104 (2007), 1726.
7. S. Amari, Biol. Cybern. 26 (1977), 175.
8. T. Kohonen, Associative Memory - A System Theoretical Approach (Springer-Verlag, Berlin, Heidelberg, New York, 1978).
9. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79 (1982), 2254.
10. T. J. Wills, C. Lever, F. Cacucci, N. Burgess and J. O'Keefe, Science 308 (2005), 873.
11. J. K. Leutgeb, S. Leutgeb, A. Treves, R. Meyer, C. A. Barness, B. L. McNaughton, M. B. Moser and E. I. Moser, Neuron 48 (2005), 345.
12. M. Tsodyks, Neuron 48 (2005), 168.
13. J. A. Goldberg, U. Rokni and H. Sompolinsky, Neuron 42 (2004), 489.
14. A. Treves and E. T. Rolls, Hippocampus 4 (1994), 374.
15. I. Tsuda, Neural Netw. 5 (1992), 313.
16. S. Nara and P. Davis, Prog. Theor. Phys. 88 (1992), 845.
17. M. Adachi and K. Aihara, Neural Netw. 10 (1997), 83.
18. K. Ikeda, K. Otsuka and K. Matsumoto, Prog. Theor. Phys. Suppl. No. 99 (1989), 295.
19. K. Kaneko, Physica D 41 (1990), 137.
20. I. Tsuda, World Futures 32 (1991), 167.
21. G. Buzsaki, Can. J. Physiol. Pharmacol. 75 (1997), 508.
22. V. Breitenberg and A. Schuz, Cortex: statistics and geometry of neuronal connectivity (Springer-Verlag, Berlin, 1998).
23. J. Szentágothai, Brain Res. 95 (1975), 475;
24. Rev. Physiol. Biochem. Pharmacol. 98 (1983), 11.
25. D. Marr, Philos. Trans. R. Soc. London B 262 (1971), 23.
26. J. L. McClelland, B. L. McNaughton and R. C. O'Reilly, Psychol. Rev. 102 (1995), 419.
27. I. Tsuda and S. Kuroda, Jpn. J. Indust. Appl. Math. 18 (2001), 249.
28. I. Tsuda, Behav. Brain Sci. 24 (2001), 793.
29. K. Kaneko and I. Tsuda, Chaos 13 (2003), 926.
30. J. Milnor, Commun. Math. Phys. 99 (1985), 177.
31. K. Kaneko, Phys. Rev. E 66 (2002), 055201(R).
32. For example, see K. Kaneko and I. Tsuda, Complex Systems: Chaos and Beyond - A Constructive Approach with Applications in Life Sciences (Springer-Verlag, Berlin, Heidelberg, 2001).
33. I. Tsuda and S. Kuroda, Lecture Notes in Comp. Sci. 3146 (2004), 129.
34. S. Amari, Differential-Geometrical Methods in Statistics, Lecture Notes in Statistics (Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1985).
35. S. Amari, preprint (2006).
36. I. Tsuda and T. Umemura, Chaos 13 (2003), 926.
37. P. Ashwin, J. Buescu and I. Stewart, Nonlinearity 9 (1996), 703.
38. V. S. Afraimovich, V. P. Zhigulin and M. I. Rabinovich, Chaos 14 (2004), 1123.
39. P. Ashwin and J. Swift, J. Nonlinear Sci. 2 (1992), 69.
40. J. Guckenheimer and P. Holmes, Math. Proc. Camb. Phil. Soc. 103 (1988), 189.
41. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 74 (1985), 918.
42. P. Ashwin, E. Covas and R. Tavakol, Nonlinearity 12 (1999), 563.
43. J. D. Skufca, J. A. Yorke and B. Eckhardt, Phys. Rev. Lett. 96 (2006), 174101.
44. I. Tsuda, E. Körner and H. Shimizu, Prog. Theor. Phys. 78 (1987), 51.
45. U. Feudel, C. Grebogi, L. Poon and J. A. Yorke, Chaos, Solitons & Fractals 9 (1998), 171.
46. T. Sauer, Abstracts for SIAM Pacific Rim Dynamical Systems Conference, August 9-13, 2000, Hawaii, Maui, 51;
47. Chaos 13 (2003), 947.
48. T. Sasaki, N. Matsuki and Y. Ikegaya, J. Neurosci. 17 (2007), 517.
49. H. Siegelmann and E. D. Sontag, Theor. Comput. Sci. 131 (1994), 331.
50. O. E. Rössler, J. L. Hudson, C. Knudsen and I. Tsuda, Int. J. of Intell. Syst. 10 (1995), 15.
51. O. E. Rössler, R. Wais and R. Rössler, Proc. of the 2nd Int. Conf. Fuzzy Logic and Neural Networks, Iizuka, Japan, 1992, p. 909.
52. I. Tsuda, Int. J. Neural Sys. 7 (1996), 451.
53. I. Tsuda and A. Yamaguchi, Neural Netw. 11 (1998), 927.
54. P. F. Pinsky and J. Rinzel, J. Comput. Neurosci. 1 (1994), 39.
55. S. Karlin, Pacific J. Math. 3 (1953), 725.
56. M. F. Norman, J. Math. Psych. 5 (1968), 61.
57. M. Barnsley, Fractals Everywhere (Academic Press, San Diego, 1988).
58. P. C. Bressloff and J. Stark, IEEE Trans. Syst. Man Cybern. 22 (1992), 1348.
59. Y. Fukushima, M. Tsukada, I. Tsuda, Y. Yamaguti and S. Kuroda, J. Cogn. Neurodynamics 1 (2007), 305.
60. S. Kuroda et al., in preparation, 2007.