... | ... | @@ -21,6 +21,26 @@ The idea of the approach following St. Venant is to replace the dipolar source b |
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The paper cited above (Bauer et al. 2015), also contains a short overview of the St. Venant method implemented.
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A list of parameters passed to DUNEuro when using this approach:
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- **'type' : 'venant'**
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The type in the source_model configuration is specified as St. Venant
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- **'restrict' : bool**
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If true (recommended), the so-called "Venant-Condition" is fulfilled, i.e. monopoles are not placed in elements belonging to a different tissue type as the source location.
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- **'numberOfMoments' : int**
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- **'weightingExponent' : int**
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- **'relaxationFactor' : double**
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- **'initialization' : {'single_element', 'closest_vertex'}**
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- **'referenceLength' : double**
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- **'mixedMoments' : bool**
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# Whitney
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For the Whitney source modeling approach, a source term with a higher regularity is
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chosen. The primary current $`j_p`$ is discretized in a vector-valued function space consisting of functions with square-integrable divergence.
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... | ... | @@ -29,30 +49,15 @@ For a detailed description, please see: |
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Miinalainen, T, Rezaei, A, Us, D, Nüßing, A, Engwer, C, Wolters, CH & Pursiainen, S 2019, 'A realistic, accurate and fast source modeling approach for the EEG forward problem', NeuroImage, vol. 184, no. 1, pp. 56-67. [https://doi.org/10.1016/j.neuroimage.2018.08.054](https://doi.org/10.1016/j.neuroimage.2018.08.054)
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A list of parameters passed to DUNEuro when using this approach:
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- **'interpolation' : {'PBO', 'MPO'}**
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- **'type' : 'venant'**
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The type in the source_model configuration is specified as St. Venant
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'numberOfMoments' : 'int'**
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- **'faceSources' : {'all', 'none'}**
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- **'edgeSources' : {'all', 'internal', 'none'}**
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'numberOfMoments' : int
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'weightingExponent' : int
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'relaxationFactor' : double
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'mixedMoments' : int
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'referenceLength' : int
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'relaxationFactor' : int
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'initialization' : {'single_element', 'closest_vertex'}
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'weightingExponent' : int
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'restrict' : bool
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- **'referenceLength' : double**
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- **'restricted' : bool**
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# Subtraction
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The subtraction approach relies on the assumption that there exists a small area around the dipole location, where the conductivity is constant. As a result, the potential and the conductivity can be split into two contributions, a singularity contribution and a correction part: $`u = u_\infty + u_{corr}`$, and $`\sigma = \sigma_\infty + \sigma_{corr}`$.
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... | ... | @@ -63,3 +68,7 @@ For more details, see, e.g., the following publications: |
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Drechsler F, Wolters CH, Dierkes T, Si H, Grasedyck L. A full subtraction approach for finite element method based source analysis using constrained Delaunay tetrahedralisation. Neuroimage. 2009 Jul 15;46(4):1055-65. doi: . [https://doi.org/10.1016/j.neuroimage.2009.02.024](https://doi.org/10.1016/j.neuroimage.2009.02.024)
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Wolters, CH, Köstler, H, Möller, C, Härdtlein, J, Grasedyck, L and Hackbusch, W. 2007. Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models. SIAM J. Sci. Comput. 30, 1 (November 2007), 24–45. [https://doi.org/10.1137/060659053](https://doi.org/10.1137/060659053).
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- **'intorderadd' : int**
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- **'intorderadd_lb' : int** |