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BMC Neuroscience

, 11:P145 | Cite as

Toward a minimal model of a large spiking cell

  • Anthony R Kellems
  • Steven J Cox
Open Access
Poster Presentation

Keywords

Pyramidal Cell Minimal Model Circuit Model Channel Distribution Combine Application 
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.

Experimentalists will soon be able to ascertain the highly nonuniform morphology and channel distributions of the large, pyramidal cells that populate the mammalian cortex. This advance is captured and quantified via tens of thousands of coupled nonlinear ordinary differential equations, per cell. The circuit modeler then asks, "How many of these equations must I keep in order to guarantee a fixed level of accuracy in the input-output map?" We demonstrate that the combined application of Balanced Truncation [1] to the weakly excitable portion of the tree and Principal Orthogonal Decomposition and the Discrete Empirical Interpolation Method [2] to the strongly excitable portion of the cell permit one to reduce the system size by more than one order of magnitude and decrease simulation time by a factor of 5 without sacrificing synaptic specificity in space or time.

Notes

Acknowledgements

NIBIB Grant No. 1T32EB006350-01A1

References

  1. 1.
    Kellems AR, Roos D, Xiao N, Cox SJ: Low-dimensional, morphologically accurate models of subthreshold membrane potential. J Comput Neurosci. 2009, 27: 161-176. 10.1007/s10827-008-0134-2.PubMedCentralCrossRefPubMedGoogle Scholar
  2. 2.
    Kellems AR, Chaturantabut S, Sorensen DC, Cox SJ: Morphologically accurate reduced order modeling of spiking neurons,. TR09-12, CAAM, Rice U. 2009, [http://www.caam.rice.edu/tech_reports/2009/TR09-12.pdf]Google Scholar

Copyright information

© Cox and Kellems; licensee BioMed Central Ltd. 2010

This article is published under license to BioMed Central Ltd.

Authors and Affiliations

  1. 1.Department of Computational & Applied MathematicsRice UniversityHoustonUSA

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