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Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI

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Functional Imaging and Modelling of the Heart (FIMH 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10263))

Abstract

In this paper we present a modified bidomain model, derived with homogenization technique from assumption of existence of diffusive inclusions in the cardiac tissue. The diffusive inclusions represent regions without electrically active myocytes, e.g. fat, fibrosis etc. We present the application of this model to a rat heart. Starting from high resolution (HR) MRI, geometry is built and meshed using image processing techniques. We perform a study on the effects of tissue heterogeneities induced with diffusive inclusions on the velocity and shape of the depolarization wavefront. We study several test cases with different geometries for diffusive inclusions, and we find that the velocity might be affected by \(5\%\) and up to \(37\%\) in some cases. Additionally, the shape of the wavefront is affected.

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Notes

  1. 1.

    http://www.freefem.org/.

  2. 2.

    http://www.sci.utah.edu/cibc-software/seg3d.html.

  3. 3.

    http://www.sci.utah.edu/cibc-software/scirun.html.

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Acknowledgments

The authors would like to thank Stephen Gilbert for providing HR-MRI and DT-MRI data of the rat heart, and for the useful discussions about the imaging process. This work was funded by the ANR project HR-CEM reference ANR-13-MONU-0004. This work was partially supported by an ANR grant part of “Investments d’Avenir” program reference ANR-10-IAHU-04.

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Authors and Affiliations

  1. Inria Bordeaux Sud-Ouest, Talence, France

    Anđela Davidović & Yves Coudière

  2. IHU Liryc, Electrophysiology and Heart Modeling Institute, Pessac, France

    Anđela Davidović & Yves Coudière

  3. Institute of Mathematics of Bordeaux, Talence, France

    Anđela Davidović & Yves Coudière

  4. University of Bordeaux, Talence, France

    Yves Coudière

  5. University of Ottawa, Ontario, Canada

    Yves Bourgault

Authors
  1. Anđela Davidović
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  2. Yves Coudière
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  3. Yves Bourgault
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Corresponding author

Correspondence to Anđela Davidović .

Editor information

Editors and Affiliations

  1. University of Toronto, Toronto, Ontario, Canada

    Mihaela Pop

  2. University of Toronto , Toronto, Ontario, Canada

    Graham A Wright

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Davidović, A., Coudière, Y., Bourgault, Y. (2017). Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI. In: Pop, M., Wright, G. (eds) Functional Imaging and Modelling of the Heart. FIMH 2017. Lecture Notes in Computer Science(), vol 10263. Springer, Cham. https://doi.org/10.1007/978-3-319-59448-4_25

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  • DOI: https://doi.org/10.1007/978-3-319-59448-4_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59447-7

  • Online ISBN: 978-3-319-59448-4

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