This paper presents a computational approach for identifying topological vortex structures in left ventricular blood flow using echocardiography data. By applying Topological Flow Data Analysis (TFDA), the method robustly extracts vortices from noisy, sparse measurements and accounts for the moving boundaries of the heart.

The global flow structure is represented as a discrete planar directed graph, enabling objective and unambiguous vortex identification without parameter thresholding. This framework provides a mathematically rigorous tool for analyzing cardiac blood flow and has potential applications in clinical assessment and prognostic studies in cardiovascular medicine.

Benjamin Dyer, Keiichi Itatani, Takeshi Matsumoto, Takashi Sakajo, "Computational Extraction of Topological Vortex Structures from Echocardiography Blood Flow Data", Journal of the Physical Society of Japan, Volume 95, Issue 2 (2026) https://doi.org/10.7566/JPSJ.95.024401.