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    This study introduces a new framework for analyzing diffusion-weighted MRI (dMRI) signals across space and time. It accurately models complex tissue microstructures, improving understanding of nervous system health and disease.

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    Area of Science:

    • Biophysics
    • Neuroimaging
    • Medical Physics

    Background:

    • Current diffusion-weighted MRI (dMRI) frameworks often fix temporal dependency, limiting analysis of tissue microstructure.
    • Techniques like Axcaliber and ActiveAx highlight the importance of diffusion time in dMRI signal analysis.
    • A generalized framework simultaneously modeling spatio-temporal dMRI signal dependence is lacking.

    Purpose of the Study:

    • To develop a novel framework for simultaneous representation of the dMRI signal across diffusion times, gradient strengths, and directions.
    • To create a generalized model for the 3D+t spatio-temporal dMRI signal.
    • To enable more accurate estimation of microstructural parameters.

    Main Methods:

    • Utilized a functional basis to fit the 3D+t spatio-temporal dMRI signal, analogous to the 3D-SHORE basis.
    • Employed regularization by minimizing the analytic Laplacian norm of the basis.
    • Validated on synthetic data from Callaghan et al.'s model and real ActiveAx acquisition data.

    Main Results:

    • The proposed method accurately describes restricted spatio-temporal signal decay in tissue models like cylindrical pores.
    • Demonstrated robustness to noise in dMRI signal analysis.
    • Successfully estimated axon radius distribution parameters using approaches similar to AxCaliber.

    Conclusions:

    • The novel framework enables comprehensive representation of the complete 3D+t dMRI signal.
    • This approach offers improved insights into normal and pathological nervous tissue.
    • Facilitates advanced microstructural analysis in neuroimaging.