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Hyperelastic Modeling of Cardiac Tissue Deformation for Data Registration
Abstract
This work proposes a biomechanical registration framework designed to combine functional optical-mapping data with structural high-resolution MRI of cardiac tissue. The two acquisitions are performed in different mechanical configurations: optical mapping is obtained after stretching the sample, whereas MRI is acquired in a fixed resting state. To estimate the deformation between these configurations, the tissue is modeled as a nearly incompressible transversely isotropic hyperelastic material, and the traction amplitude is identified from optical-map marker positions through an inverse problem. Two-and threedimensional simulations show physically admissible deformations and provide a first proof of concept for the proposed strategy.
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BibTeX
@misc{ghantous2026hyperelastic,
title = {{Hyperelastic Modeling of Cardiac Tissue Deformation for Data Registration}},
author = {Joyce Ghantous and Yves Coudiere and Michael Leguèbe},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18207},
eprint = {2610.18207},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18207},
}
RIS
TY - UNPB
TI - Hyperelastic Modeling of Cardiac Tissue Deformation for Data Registration
AU - Joyce Ghantous
AU - Yves Coudiere
AU - Michael Leguèbe
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18207
UR - https://arxiv.org/abs/2610.18207
AB - This work proposes a biomechanical registration framework designed to combine functional optical-mapping data with structural high-resolution MRI of cardiac tissue. The two acquisitions are performed in different mechanical configurations: optical mapping is obtained after stretching the sample, whereas MRI is acquired in a fixed resting state. To estimate the deformation between these configurations, the tissue is modeled as a nearly incompressible transversely isotropic hyperelastic material, and the traction amplitude is identified from optical-map marker positions through an inverse problem. Two-and threedimensional simulations show physically admissible deformations and provide a first proof of concept for the proposed strategy.
ER -