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Abstract #4398

Anomalous Diffusion estimation through the solution of the Fractional Time order Bloch-Torrey equation

Óscar Peña-Nogales1, Carlos Castillo2,3,4, Carlos Lizama5, Rodrigo de Luis-Garcia1, Santiago Aja-Fernández1, and Pablo Irarrazaval2,3,4,6
1Laboratorio de Procesado de Imagen, Universidad de Valladolid, Valladolid, Spain, 2Instituto de Ingeniería Biológica y Médica, Pontificia Universidad Catolica de Chile, Santiago, Chile, 3Millennium Nucleus for Cardiovascular Magnetic Resonance, Santiago, Chile, 4Biomedical Imaging Center, Pontificia Universidad Católica de Chile, Santiago, Chile, 5Departamento de Matemáticas y Ciencia de la Computación, Universidad de Santiago de Chile, Santiago, Chile, 6Electrical Engineering Department, Pontificia Universidad Católica de Chile, Santiago, Chile

Diffusion-Weighted (DW) imaging has a monoexponential signal decay at low b-values related to the statistical mechanics of Brownian motion. However, at high b-values the DW signal is no longer monoexponential. Various models have been proposed to better fit the data; nevertheless, none of them assumes that the DW signal is governed by the fractional-time order dynamics of the generalized Brownian motion (a.k.a., anomalous diffusion). In this work, by assuming anomalous diffusion we solve the fractional-time order Bloch-Torrey equation for smooth diffusion-weighting gradients and compare the obtained model to existing ones. The proposed model outperforms state-of-the-art on synthetic anomalous phantom experiments.

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