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Electromagnetic Brain Imaging pp 139–169Cite as

Source-Space Connectivity Analysis Using Imaginary Coherence

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Abstract

There has been tremendous interest in estimating the functional connectivity of neuronal activities across different brain regions using electromagnetic brain imaging.

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Notes

  1. 1.

    Although the source has two components when the homogeneous spherical conductor model is used, for arguments in this chapter, we assume that the source vector has three \(x\), \(y\), and \(z\) components.

  2. 2.

    If \( \varvec{ A }^T =- \varvec{ A } \) holds, matrix \( \varvec{ A } \) is skew-symmetric. Since \( \varvec{ \alpha }^T \varvec{ A } \varvec{ \alpha } \) is a scalar, if \( \varvec{ A } \) is skew-symmetric, \( \varvec{ \alpha }^T \varvec{ A } \varvec{ \alpha } =0\).

  3. 3.

    The absolute value of the imaginary coherence is usually computed, because its sign has no meaning in expressing the connectivity.

  4. 4.

    We can apply another method such as the false discovery rate to this multiple comparison problem.

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Authors and Affiliations

  1. Department of Systems Design and Engineering, Tokyo Metropolitan University, Tokyo, Japan

    Kensuke Sekihara

  2. Department of Radiology and Biomedical, University of California, San Francisco, CA, USA

    Srikantan S. Nagarajan

Authors
  1. Kensuke Sekihara
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  2. Srikantan S. Nagarajan
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Correspondence to Kensuke Sekihara .

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Sekihara, K., Nagarajan, S.S. (2015). Source-Space Connectivity Analysis Using Imaginary Coherence. In: Electromagnetic Brain Imaging. Springer, Cham. https://doi.org/10.1007/978-3-319-14947-9_7

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