Abstract
Excitatory synaptic coupling is commonly described as a form of input that depolarizes a neuron, often leading to an increase in neuronal spike frequency. In this study we show that the effect of excitatory coupling on the oscillation frequency of coupled bursting neurons is context-dependent. In a model system consisting of a population of bursting neurons, we show that increasing extrinsic excitatory input increases the frequency of the bursting oscillation, while increasing the strength of the excitatory coupling among the bursting neurons decreases the frequency of the bursting oscillation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
J. C. Smith, H. H. Ellenberger, K. Ballanyi, D. W. Richter, and J. L. Feldman. Pre-Bötzinger Complex: A brainstem region that may generate respiratory rhythm in mammals. Science, 254: 726–729, 1991.
J. C. Smith. Integration of cellular and network mechanisms in mammalian oscillatory motor circuits: Insights from the respiratory oscillator. In P. Stein, S. Grillner, A. I. Selverston, and D. G. Stuart, editors, Neurons, Networks, and Motor Behavior, pages 97–104. MIT Press, Cambridge, MA, 1997.
S. M. Johnson, J. C. Smith, G. D. Punk, and J. L. Feldman. Pacemaker behavior of respiratory neurons in medullary slices from neonatal rat. J. NeurophysioL, 72: 2598–2608, 1994.
G.D. Punk, J. C. Smith, and J. L. Feldman. Generation and transmission of respiratory oscillations in medullary slices: Role of excitatory amino acids. J. NeurophysioL, 70: 1497–1515, 1993.
C. R. French, P. Sah, K. Buckett, and P. W. Gage. A voltage-dependent persistent sodium current in mammalian hippocampal neurons. J. Gen. Physiol., 95: 1139–1157, 1990.
I. A. Fleidervish, A. Friedman, and M. J. Gutnick. Slow inactivation of Na+ current and slow cumulative spike adaption in mouse and guinea-pig neocortical neurones in slices. J. Physiol. (London), 493: 83–97, 1996.
I. A. Fleidervish and M. J. Gutnick. Kinetics of slow inactivation of persistent sodium current in layer V neurons of mouse neocortical slices. J. Neurophysiol., 76: 2125–2129, 1996.
R. J. Butera, J. Rinzel, and J. C. Smith. Models of the neuronal kernel for respiratory rhythm generation in the pre-Bötzinger complex of mammals. I. Bursting pacemaker neurons. In Preparation.
R. Bertram, M. J. Butte, T. Kiemel, and A. Sherman. Topological and phenomenological classification of bursting oscillations. Bull. Math. BioL, 57: 413–439, 1995.
J. Rinzel. A formal classification of bursting mechanisms in excitable systems. In E. Teramoto and M. Yamaguti, editors, Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences, volume 71 of Lecture Notes in Biomathematics, pages 267–281. Springer-Verlag, Berlin, 1987.
J. C. Smith, K. Ballanyi, and D. W. Richter. Whole-cell patch-clamp recordings from respiratory neurons in neonatal rat brainstem in vitro. Neurosci. Let, 134: 153–156, 1992.
K. L. Magleby and C. F. Stevens. A quantitative description of end-plate currents. J. Physiol. (London), 223: 173–197, 1972.
X.-J. Wang and J. Rinzel. Alternating and synchronous rhythms in reciprocally inhibitory model neurons. Neural Comp., 4: 84–97, 1992.
D. Somers and N. Kopell. Rapid synchronization through fast threshold modulation. BioL Cybern., 68: 393–407, 1993.
P. Smolen, J. Rinzel, and A. Sherman. Why pancreatic islets burst but single β cells do not: The heterogeneity hypothesis. Biophys. J., 64: 1668–1680, 1993.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Butera, R.J., Rinzel, J., Smith, J.C. (1998). Novel Frequency Control in a Population of Bursting Neurons with Excitatory Synaptic Coupling. In: Bower, J.M. (eds) Computational Neuroscience. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4831-7_55
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4831-7_55
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7190-8
Online ISBN: 978-1-4615-4831-7
eBook Packages: Springer Book Archive