Attaining precision limits for estimating restriction lengths in diffusion Magnetic Resonance Imaging

A. ZWICK; GONZALO A. ALVAREZ

Congreso; 103a Reunión de la Asociación Física Argentina; 2018

Diffusion weighted imaging in Magnetic Resonance (MRI) is a powerful non- invasive technique for microstructure characterization. However, attaining microstruc- ture resolution is still a challenge as the MRI resolution is much larger. Resorting to tools from quantum information theory, we analytically derive the ultimate precision limits for estimating microstructure sizes as the one given by restriction lengths in diffusion processes with diffusion weighted MRI sequences. We provide the control conditions, exemplifying with routinely gradient waveforms and with generic geome- tries of the microstructures, to achieve this precision limit in the estimation considering limitations imposed by T2 relaxation.