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

Anđela Davidović (1, 2, 3, 4) , Yves Coudière (3, 2) , Yves Bourgault (5)

1 UB - Université de Bordeaux
2 IMB - Institut de Mathématiques de Bordeaux
3 CARMEN - Modélisation et calculs pour l'électrophysiologie cardiaque
4 IHU-LIRYC
5 University of Ottawa [Ottawa]

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.

Mots clés: bidomain model; heterogeneous conductivities; fibrosis; multiscale modelling; image-based modelling

Domaines: Mathématiques [math]; Imagerie; Cardiologie et système cardiovasculaire

Anđela Davidović, Yves Coudière, Yves Bourgault. Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI. 9th international conference on Functional Imaging and Modeling of the Heart (FIMH 2017), Jun 2017, Toronto, Canada. pp.260-270, ⟨10.1007/978-3-319-59448-4_25⟩. ⟨hal-01563770⟩