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

  • Piotr Przybyła
  • Witold StankiewiczEmail author
  • Marek Morzyński
  • Michał Nowak
  • Dominik Gaweł
  • Sebastian Stefaniak
  • Marek Jemielity
Conference paper


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.


Proper Orthogonal Decomposition Independent Component Analysis Proper Orthogonal Decomposition Mode Heart Motion Proper Orthogonal Decomposition Analysis 
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.



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


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Piotr Przybyła
    • 1
  • Witold Stankiewicz
    • 1
    Email author
  • Marek Morzyński
    • 1
  • Michał Nowak
    • 1
  • Dominik Gaweł
    • 1
  • Sebastian Stefaniak
    • 2
  • Marek Jemielity
    • 2
  1. 1.Division of Virtual EngineeringPoznan University of TechnologyPoznańPoland
  2. 2.Cardio-Surgery Department in Clinical Hospital of University of Medical Sciences PoznanPoznańPoland

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