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Efficient Modeling of Realistic Neural Networks with Application to the Olfactory Bulb

  • John W. Tromp
  • Frank H. Eeckman

Abstract

In this paper we present an algorithm that allows for stable and efficient calculation of the dynamics of networks of biologically realistic model neurons. The level of description is that of currents and voltages in compartments making up individual neurons in the network. Using this algorithm, the calculation time for a single neuron scales linearly with the number of compartments in that neuron. Thus, individual neurons in a network can be represented accurately.

Keywords

Granule Cell Olfactory Bulb Mitral Cell Tridiagonal Matrix Synaptic Conductance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References.

  1. 1.
    Eeckman F.H. and Freeman W.J. (1990). Correlations Between Unit-Firing and EEG in the Rat Olfactory System. Brain Res. 528: 238–244.CrossRefGoogle Scholar
  2. 2.
    Freeman W.J. (1975). Mass Action in the Nervous System. Academic Press: New York.Google Scholar
  3. 3.
    Freeman W.J. and Schneider W. (1982). Changes in Spatial Pattern of rabbit Olfactory EEG with Conditioning to Odors. Psychophysiology. 19: 44–56.CrossRefGoogle Scholar
  4. 4.
    Jack J.J.B., Noble D. and Tsien R.W.(1975). Electric Current Flow in Excitable Cells. Clarendon Press, Oxford.Google Scholar
  5. 5.
    Hines M. (1989). A Program for Simulation of Nerve Equations with Branching Geometries. Int. J. Biomed. Comput. 24: 55–68.CrossRefGoogle Scholar
  6. 6.
    Martinez D.P. and Freeman WJ. (1985). Periglomerular Cell Action on Mitral Cells in Olfactory Bulb shown by Current-Source Density Analysis. Brain Res. 308: 223–233.CrossRefGoogle Scholar
  7. 7.
    Press W.H., Flannery B.P., Teukolsky S.A. and Vetterling W.T. (1988). Numerical Recipes in C. Cambridge University Press, Cambridge.MATHGoogle Scholar
  8. 8.
    Mascagni M.V. (1989), Methods in Neuronal Modelling (ed. Koch and Segev) MIT Press, Cambridge, MA.Google Scholar
  9. 9.
    Rail W. and Shepherd G.M. (1968). Theoretical Reconstruction of Field Potentials and Dendrodendritic Synaptic Interactions in Olfactory Bulb. J. Neurophysiol. 31: 884–915.Google Scholar
  10. 10.
    Ramony Cajal S. (1911). Histologie du Systeme Nerveux de l’homme et des vertebres. Ed Maloine: Paris.Google Scholar
  11. 11.
    Shepherd G.M. (1972). Synaptic organization of the mammalian olfactory bulb. Physiol. Rev. 52: 864–917.Google Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • John W. Tromp
    • 1
  • Frank H. Eeckman
    • 2
  1. 1.Department of Cell and Molecular BiologyU.C. BerkeleyUSA
  2. 2.O-Division, Lawrence Livermore Natl LabLivermoreUSA

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