Moving frames in space and time for modelling cardiac myofibers


Current understanding of heart wall fiber geometry is based on ex vivo static data obtained through diffusion imaging or histology. Little is thus known about the manner in which fibers rotate as the heart beats. The geometric organization of moving fibers in the heart wall, however, is key to its mechanical function and to the distribution of forces in it to effect efficient, repetitive pumping. We develop a moving frame method to address this problem, with a spatio-temporal formulation of the associated Cartan matrix.

Related Publications

B Samari, T Aumentado-Armstrong, G Strijkers, M Froeling, K Siddiqi
Cartan frames for heart wall fiber motion.
International Conference on Functional Imaging and Modeling of the Heart, 2017.
[Full Version]

B Samari, T Aumentado-Armstrong, G Strijkers, M Froeling, K Siddiqi
Denoising moving heart wall fibers using cartan frames.
International Conference on Medical Image Computing and Computer-Assisted Intervention, 2017.
[Full Version]