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A reduced model for dendritic trees with active membrane

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Artificial Neural Networks — ICANN 96 (ICANN 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1112))

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Abstract

A non-uniform equivalent cable model of membrane voltage changes in branching active dendritic trees has been developed. A general branching condition is formulated, extending Rall's 3/2 power rule for passive trees.

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References

  1. R. FitzHugh. Mathematical models of excitation and propagation in nerve. In H. P. Schwan, editor, Biological Engineering, pages 1–85. McGraw-Hill: New York, 1969.

    Google Scholar 

  2. Bartlett W. Mel. Information processing in dendritic trees. Neural Computation, 6, 1994.

    Google Scholar 

  3. Michael Ohme. Modellierung der neuronalen Signalverarbeitung mittels kontinuierlicher Kabelmodelle. Dissertation, University of Leipzig, Department of Computer Science, 9 1995.

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  4. W. Rall. Theory of physiological properties of dendrites. Ann. N. Y. Acad. Sci., 96, 1962.

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  5. A. K. Schierwagen. A non-uniform equivalent cable model of membrane voltage changes in a passive dentritic tree. J. theor. Biol., 141:159–179, 1989.

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  6. I. Segev. Dendritic processing. In Michael A. Arbib, editor, The handbook of brain theory and neural networks. MIT Press, 1995.

    Google Scholar 

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Authors

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Christoph von der Malsburg Werner von Seelen Jan C. Vorbrüggen Bernhard Sendhoff

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© 1996 Springer-Verlag Berlin Heidelberg

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Ohme, M., Schierwagen, A. (1996). A reduced model for dendritic trees with active membrane. In: von der Malsburg, C., von Seelen, W., Vorbrüggen, J.C., Sendhoff, B. (eds) Artificial Neural Networks — ICANN 96. ICANN 1996. Lecture Notes in Computer Science, vol 1112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61510-5_117

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  • DOI: https://doi.org/10.1007/3-540-61510-5_117

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61510-1

  • Online ISBN: 978-3-540-68684-2

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