Skip to main content

Emergence of Iterated Function Systems in the Hippocampal CA1

  • Conference paper
  • First Online:
Book cover Advances in Cognitive Neurodynamics (II)

Abstract

In rat CA1 pyramidal cells, we previously observed hierarchical clusters of the distribution of membrane potentials, arranged according to the history of input sequences. In this study, we deal with the dynamical mechanism generating such a hierarchical distribution. The recording data were investigated using return map analysis. Each of the obtained return maps was well approximated by a set of contractive affine transformations. These findings provide direct evidence that the information of temporal sequences generated in CA3 can be self-similarly represented in the membrane potentials of CA1 pyramidal cells.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tsuda, I., Kuroda, S.: Cantor coding in the hippocampus. Jpn. J. Ind. Appl. Math. 18 (2001) 249–281.

    Article  Google Scholar 

  2. Tsuda, I.: Towards an interpretation of dynamic neural activity in term of chaotic dynamical systems. Behav. Brain Sci. 24(5) (2001) 793–847.

    Article  CAS  PubMed  Google Scholar 

  3. Tsuda, I., Kuroda, S.: A complex systems approach to an interpretation of dynamic brain activity II: does cantor coding provide a dynamic model for the formation of episodic memory. Lect. Notes Comput. Sci. 3146 (2004) 129–139.

    Article  Google Scholar 

  4. Fukushima, Y., Tsukada, M., Tsuda, I., Yamaguti, Y., Kuroda, S.: Spatial clustering property and its self-similarity in membrane potentials of hippocampal CA1 pyramidal neurons for a spatio-temporal input sequence. Cogn. Neurodyn. 1(4) (2007) 305–316.

    Article  PubMed  Google Scholar 

  5. Kuroda, S., Fukushima, Y., Yamaguti, Y., Tsukada, M., Tsuda, I.: Iterated function systems in the hippocampal CA1. Cogn. Neurodyn. 3(3) (2009) 205–222.

    Article  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shigeru Kuroda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this paper

Cite this paper

Kuroda, S., Fukushima, Y., Yamaguti, Y., Tsukada, M., Tsuda, I. (2011). Emergence of Iterated Function Systems in the Hippocampal CA1. In: Wang, R., Gu, F. (eds) Advances in Cognitive Neurodynamics (II). Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9695-1_15

Download citation

Publish with us

Policies and ethics