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The Computing Dendrite pp 483–506Cite as

Morphological Reduction of Dendritic Neurons

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Part of the book series: Springer Series in Computational Neuroscience ((NEUROSCI,volume 11))

Abstract

Computational models are important tools for determining dendritic properties and for understanding their functional roles. However, these models are limited by simulation time and storage requirements, particularly when modeling neuronal networks. We review reduced models of the neuron that accurately report the transmembrane potential at a few specified locations while retaining dendritic properties, including the spatial distribution of synaptic inputs throughout the dendritic tree. These models are rooted in two classes of methods from linear algebra: methods based on the singular value decomposition and moment-matching methods. The reduced models can be used to further elucidate dendritic function as they greatly reduce the computational cost associated with simulating networks of morphologically accurate neurons. We demonstrate this capability by simulating a network of hippocampal pyramidal cells and interneurons coupled through chemical synapses and electrical gap junctions.

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Acknowledgements

This work is supported by NSF grant DMS-1122455 and by a training fellowship from the Keck Center for Interdisciplinary Bioscience Training of the Gulf Coast Consortia (NIBIB Grant No. 1T32EB006350-01A1).

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Authors and Affiliations

  1. Johns Hopkins University, 720 Rutland Avenue, Baltimore, MD, 21205, USA

    Kathryn R. Hedrick

  2. Rice University, 6100 Main Street, Houston, TX, 77005, USA

    Steven J. Cox

Authors
  1. Kathryn R. Hedrick
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  2. Steven J. Cox
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Correspondence to Steven J. Cox .

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Editors and Affiliations

  1. Institute of Clinical Neuroanatomy, Ernst Strüngmann Institute (ESI) for Neuroscience in Cooperation with Max Planck Society & Goethe-University, Frankfurt, Germany

    Hermann Cuntz

  2. Institute for Theoretical Biology, Humboldt-Universität zu Berlin, Berlin, Germany

    Michiel W.H. Remme

  3. Department of Neurobiology, Hebrew University of Jerusalem, Jerusalem, Israel

    Benjamin Torben-Nielsen

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Hedrick, K.R., Cox, S.J. (2014). Morphological Reduction of Dendritic Neurons. In: Cuntz, H., Remme, M., Torben-Nielsen, B. (eds) The Computing Dendrite. Springer Series in Computational Neuroscience, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8094-5_29

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