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Reduced Order Model of a Human Left and Right Ventricle Based on POD Method

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Computational Biomechanics for Medicine

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Abstract

The paper aims to build a reduced order model (ROM) of the left and right ventricle of a human heart. The input heart model is build from 3D sets of registered, flexible surface meshes for the left and right ventricle, resulting from the MRI data. Spatial and temporal variables are separated using Proper Orthogonal Decomposition. It enables data reduction and works as a data-driven filter, separating similar and alternative properties of the left and right ventricle movement, which is diagnostically essential in cardiology studies. Each mode can be correlated with a corresponding heart movement. The temporal coefficients reflect the functioning of the heart, and comparing them may reveal and distinguish pathologies. We have proven that complex heart motion can be modeled with relatively small number of degrees of freedom. The model spanned on a few POD modes allows the analysis of the crucial movement data and better identification of possible failures.

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Acknowledgments

This work was supported by The National Centre for Research and Development under the grant PBS3/B9/34/2015.

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Authors and Affiliations

  1. Division of Virtual Engineering, Poznan University of Technology, Poznań, Poland

    Piotr Przybyła, Witold Stankiewicz, Marek Morzyński, Michał Nowak & Dominik Gaweł

  2. Cardio-Surgery Department in Clinical Hospital of University of Medical Sciences Poznan, Poznań, Poland

    Sebastian Stefaniak & Marek Jemielity

Authors
  1. Piotr Przybyła
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  2. Witold Stankiewicz
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  3. Marek Morzyński
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  4. Michał Nowak
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  5. Dominik Gaweł
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  6. Sebastian Stefaniak
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  7. Marek Jemielity
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Corresponding author

Correspondence to Witold Stankiewicz .

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Editors and Affiliations

  1. Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, Perth, West Australia, Australia

    Adam Wittek

  2. Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, Perth, West Australia, Australia

    Grand Joldes

  3. Auckland Bioengineering Institute, The University of Auckland, Auckland, New Zealand

    Poul M.F. Nielsen

  4. School of Mechanical and Chemical Engineering, The University of Western Australia, Perth, West Australia, Australia

    Barry J. Doyle

  5. Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, Perth, West Australia, Australia

    Karol Miller

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Przybyła, P. et al. (2017). Reduced Order Model of a Human Left and Right Ventricle Based on POD Method. In: Wittek, A., Joldes, G., Nielsen, P., Doyle, B., Miller, K. (eds) Computational Biomechanics for Medicine. Springer, Cham. https://doi.org/10.1007/978-3-319-54481-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-54481-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54480-9

  • Online ISBN: 978-3-319-54481-6

  • eBook Packages: EngineeringEngineering (R0)

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