T1ρ imaging is a promising non-invasive
diagnostic tool for early detection of articular cartilage degeneration. A mono-exponential
model is normally used to describe the T1ρ relaxation process. However, mono-exponentials
may not adequately to describe NMR relaxation in complex, heterogeneous, and
anisotropic materials, such as articular cartilage. Fractional-order models
have been successfully used to describe complex relaxation phenomena in the
laboratory frame in cartilage matrix components. In this work, we develop a
time-fractional order (T-FACT) model to analyze T1ρ relaxation in human articular
cartilage. The results show the proposed method can better represent the T1ρ
relaxation in human articular cartilage.
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