Diffusion MRI measurements using hyperpolarized gases are generally acquired during patient breath hold, which yields a compromise between achievable image resolution, lung coverage and number of b-values. In this work, we propose a novel method that incorporates the knowledge of the signal decay into the reconstruction (SIDER) to accelerate the acquisition of MR diffusion data by undersampling in both spatial and b-value dimensions. SIDER is assessed by restrospectively undersampling diffusion datasets of normal volunteers and COPD patients. Results suggest that accelerations of at least x7 are achievable with negligible effect in the estimates of diffusion parameters.
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