Analytical Solutions to Bloch NMR Flow Equation in Porous System: Future and Emerging Magnetic Resonance Computational Imaging for Medical and Biomedical Engineering

摘要

Abstract: Background: In most brain tissue architecture, water diffusion is anisotropic or directional and can be treated as a restricted geometry. This requires the specification of diffusion coefficients as function of space coordinate(s) and such a phenomenon is an indication of non-uniform compartmental conditions observed in porous media. Since the diffusion coefficient becomes directional, the imaging process becomes very complex and the analytical solutions to the NMR diffusion tensor equation with variable coefficients for non-uniform tissue composition can open a new field of research in diffusion tensor imaging.