Browsing by Author "Kantor Nagel, Nicolás"

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    Modal decomposition and flow analysis of Aorta’s MRI-Acquired blood flow
    (2024) Kantor Nagel, Nicolás; Cádiz Cádiz, Rodrigo Fernando; Brevis Vergara, Wernher; Pontificia Universidad Católica de Chile. Escuela de Ingeniería
    This study utilizes Proper Orthogonal Decomposition (POD) and Bessel functions to analyze arterial blood flow from MRI data. By decomposing velocity fields into Bessel functions, we efficiently captured the majority of kinetic energy with a low-order model, demonstrating that dominant POD modes align closely with specific Bessel functions across various arterial geometries. We analyzed spatial and temporal dynamics by examining POD modes and their temporal evolution through singular value decomposition (SVD) and Fourier transforms. Results show that lower POD modes capture significant kinetic energy and exhibit consistent patterns across geometries, while higher modes reveal complex, turbulent features. Notably, higher POD modes correspond to higher temporal frequencies, supporting theoretical predictions from Womersley’s flow equations and simulations. The phantom data displayed increased turbulence with higher-order modes contributing more to the kinetic energy, highlighting the impact of geometric sharpness on flow dynamics. In summary, this approach integrates spatial and temporal analyses to provide a robust framework for interpreting 4D flow MRI data, improving our understanding of arterial dynamics and offering potential for enhanced diagnostic capabilities by simplifying flow reconstruction and emphasizing key flow characteristics.