Cartan Frame Analysis of Hearts with Infarcts
- First Online:
- Cite this paper as:
- Goblot D., Pop M., Siddiqi K. (2017) Cartan Frame Analysis of Hearts with Infarcts. In: Mansi T., McLeod K., Pop M., Rhode K., Sermesant M., Young A. (eds) Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges. STACOM 2016. Lecture Notes in Computer Science, vol 10124. Springer, Cham
Muscle fibers in healthy hearts follow a regular geometry, with streamlines that lie along close to parallel helical curves. This regularity is disrupted in the presence of myocardial infarction which results in a loss of contractile function due to the necrosis of myocytes and the build up of collagen. However, intermediate situations also exist with partly functional surrounding border zones. The precise manner in which fiber geometry is remodeled following the occurrence of an infarct is not known. Here we demonstrate the promise of Cartan frame fitting to diffusion magnetic resonance images of the heart to address this question. We use the error of fit of these models to the first principal eigen vector of the diffusion tensor to capture the degree of local fiber coherence. The first study of its kind in application to myocardial infarction, our experiments on porcine hearts reveal measures to assess damage that are complementary to existing scalar ones, such as the apparent diffusion coefficient or the fractional anisotropy. Cartan frame fitting provides valuable additional information about local fiber geometry.