Skip to main content

Three Simple Models of Neurons in Rodent Brains

  • Chapter
  • First Online:
An Introduction to Modeling Neuronal Dynamics

Part of the book series: Texts in Applied Mathematics ((TAM,volume 66))

Abstract

Hodgkin and Huxley modeled the giant axon of the squid. Since then, many similar models of neurons in mammalian brains have been proposed. In this chapter, we list three examples, which will be used throughout the book.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
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

Bibliography

  1. C. Börgers and B. Walker, Toggling between gamma-frequency activity and suppression of cell assemblies, Frontiers in Computational Neuroscience, 7, doi: 10.3389/fncom.2013.00033 (2013).

    Google Scholar 

  2. A. Erisir, D. Lau, B. Rudy, and C. S. Leonard, Function of specific K(+) channels in sustained high-frequency firing of fast-spiking neocortical interneurons, J. Neurophysiol., 82 (1999), pp. 2476–89.

    Google Scholar 

  3. G. B. Ermentrout and, Fine structure of neural spiking and synchronization in the presence of conduction delay, Proc. Natl. Acad. Sci. USA, 95 (1998), pp. 1259–1264.

    Google Scholar 

  4. T. Freund and I. Katona, Perisomatic inhibition, Neuron, 56 (2007), pp. 33–42.

    Article  Google Scholar 

  5. K. M. Stiefel, B. Englitz, and T. J. Sejnowski, Origin of intrinsic irregular firing in cortical interneurons, Proc. Natl. Acad. Sci. USA, 110 (2013), pp. 7886–7891.

    Article  MATH  Google Scholar 

  6. R. D. Traub and R. Miles, Neuronal Networks of the Hippocampus, Cambridge University Press, Cambridge, UK, 1991.

    Book  Google Scholar 

  7. X.-J. Wang and G. Buzsáki, Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model, J. Neurosci., 16 (1996), pp. 6402–6413.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

1 Electronic Supplementary Material

Below is the link to the electronic supplementary material.

(ZIP 199 KB)

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Börgers, C. (2017). Three Simple Models of Neurons in Rodent Brains. In: An Introduction to Modeling Neuronal Dynamics. Texts in Applied Mathematics, vol 66. Springer, Cham. https://doi.org/10.1007/978-3-319-51171-9_5

Download citation

Publish with us

Policies and ethics