Skip to main content

The Effect of i h Currents on Bursting Patterns of Pairs of Coupled Neurons

  • Chapter
Computation in Neurons and Neural Systems
  • 177 Accesses

Abstract

We study the rhythmic patterns of two model neurons that are coupled by reciprocal inhibition. One of the model neurons is an endogenous burster; the other is excitable but not bursting in the absence of phasic input. We show that the presence of a hyperpolarization activated inward current (ih) in the excitable neuron allows that neuron to fire once for every several bursts of the oscillator, depending on the amount of hyperpolarizing current injected into that neuron. This contrasts with the activity of the same network without ih where the excitable neuron fires after every burst of the oscillator or fails to fire completely.

supported in part by NIMH grant MH47150

Supported in part by NIMH grant MH46742

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Angstadt, J.D. and Calabrese, R.L. (1989) A hyperpolarization-activated inward current in heart interneurons of the medicinal leech. J. Neurosci., 9:2846–2857.

    Google Scholar 

  2. Angstadt, J.D. and Calabrese, R.L. (1991) Calcium currents and graded synaptic transmission between heart interneurons of the leech. J. Neurosci., 11:746–759.

    Google Scholar 

  3. Calabrese, R. and Peterson, E. (1983) Neural control of heartbeat in the leech, Hirudo Medicinalis, Soc. for Exp. Biol. XXXVII, Neural Origin of Rhythmic Movements, eds: A. Roberts, B. Roberts, pp. 195–221. Cambridge University Press, Cambridge.

    Google Scholar 

  4. Ermentrout, G.B. (1981) n:m Phase-locking of weakly coupled oscillators, J. Math. Biol., 12:327–342.

    Article  MathSciNet  MATH  Google Scholar 

  5. Golowasch, J., Buchholtz, F., Epstein, I.R. and Marder, E. (1992) The contribution of individual ionic currents to the activity of a model stomatogastric ganglion neuron. J. Neurophysiol, 67:341–349.

    Google Scholar 

  6. Golowasch, J. and Marder, E. (1992) Ionic currents of the lateral pyloric neuron of the stomatogastric ganglion of the crab, J. Neurophysiol., 67:318–331.

    Google Scholar 

  7. Hooper, S. Unpublished data.

    Google Scholar 

  8. Hounsgaard, J. and Kiehn, O. (1989) Serotonin-induced bistability of amotoneurones caused by a nifedipine-sensitive calcium plateau potential. J. Physiol, 414:265–282.

    Google Scholar 

  9. Kiehn, O. and Harris-Warrick, R.M. (1992) 5-HT modulation of hyperpol-arization-activated inward current and calcium-dependent outward current in crustacean motor neuron. J. Neuropkysiol., 68:496–508.

    Google Scholar 

  10. Kopell, N. and Le Masson, G. (1993), Rhythmogenesis, amplitude modulation and multiplexing in a cortical architecture, submitted.

    Google Scholar 

  11. Kopell, N., Nadim, F. and Calabrese, R. (1994), in preparation.

    Google Scholar 

  12. LoFaro, T., Kopell, N. Marder, E. and Hooper, S. (1993) Subharmonic coordination in networks of neurons with slow conductances. Neural Computation, to appear.

    Google Scholar 

  13. LoFaro, T. (1994) A Period adding bifurcation in a pair of coupled neurons. Ph.D. Thesis, Boston University.

    Google Scholar 

  14. Morris, H. and Lecar, C. (1981) Voltage oscillators in the barnacle giant muscle fiber. Biophysical J., 35:193–213.

    Article  Google Scholar 

  15. Perkel, D.H. and Mulloney, B. (1974) Motor pattern production in reciprocally inhibitory neurons exhibiting postinhibitory rebound. Science 185:181–183.

    Google Scholar 

  16. Rinzel, J. and Troy, W. C. (1983) A One-variable map analysis of bursting in the Belousov-Zhabotinskii reaction, in Smoller, J. A. Ed., Nonlinear Partial Differential Equations, 1982 AMS Summer Research Conference, Durham, NH.

    Google Scholar 

  17. Rinzel, J. and Ermentrout, G.B. (1989) Analysis of neutral excitability and oscillations, in Methods in Neuronal Modeling: From Synapses to Networks, ed. C. Koch and I. Segev. MIT Press, 135–163.

    Google Scholar 

  18. Weimann, J.M., Meyrand, P., and Marder, E. (1991) Neurons that form multiple pattern generators: Identification and multiple activity patterns of gastric/pyloric neurons in the crab stomatogastric system. J. Neuro-physiol., 65:111–122.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media New York

About this chapter

Cite this chapter

LoFaro, T., Kopell, N., Marder, E., Hooper, S.L. (1994). The Effect of i h Currents on Bursting Patterns of Pairs of Coupled Neurons. In: Eeckman, F.H. (eds) Computation in Neurons and Neural Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2714-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-2714-5_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6169-5

  • Online ISBN: 978-1-4615-2714-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics