One-dimensional transverse relaxometry has proven to be an effective method for characterizing macromolecular compartments in cartilage. Two-dimensional studies extend the capabilities of these types of experiments, providing characterization of tissue compartments in terms of correlated relaxation times and providing a means of probing intercompartmental exchange. We provide results of T2-T2 and T1-T2 relaxometry experiments on human articular cartilage, indicating that exchange between tissue compartments may be augmented in degraded tissue.
Tissue collection: Cartilage from knee arthroplasty was obtained according to an IRB-approved protocol. Osteochondral plugs with 5 mm diameter and 5 mm height were harvested from the tibial plateau for immediate MRI assessment. Four samples were used. Samples 1, 2, and 3 were taken from non-load bearing regions and showed minimal visible degradation. Sample 4, from the load-bearing region, showed clear signs of degradation.
Magnetic resonance: Plugs were imaged in susceptibility-matched Fluorinert® FC-770 (Sigma–Aldrich, St. Louis, MO) at 4°C using a 9.4T Bruker Avance III NMR spectrometer with a Bruker Micro2.5 micro-imaging probe and a 5 mm solenoidal insert. Signal from the subchondral region and the cut sides of the sample were eliminated using saturation slabs. The surface normal to each sample’s articular surface was oriented at the magic angle. All 2D measurements were made using a non-localized CPMG readout with pulse length of 10 µs, echo time TE=100 µs, number of echoes NE=4096 and repetition time TR=10 s. T2-T2 experiments were acquired with 64 signal averages and 8 mixing times (Tm) of 10, 20, 40, 80, 160, 320, 480 and 640 ms. T1-T2 experiments were performed using an inversion-preparation with 16 logarithmically spaced inversion times. See Figure 1. 2D T2-T2 and T1-T2 plots were obtained through use of the 2D inverse Laplace transform6 implemented in MATLAB with regularization performed according to the discrepancy principle.
T2-T2 correlation spectra: Diagonal peaks indicate relaxation pools with T2 values indicated on the axes; off-diagonal peaks indicate exchange between pools. Exchange timescale is defined by the mixing times at which the off-diagonal peaks appear. While relatively unbound water and PG-bound water are expected to be the dominant signal components, 2D results feature a richer structure indicating heterogeneity in relaxation times within compartments.
Figure 2: T2-T2 distributions for mixing times of 10ms, 20ms, and 40ms. Components with T2 values ~50 - 100 ms are assigned to loosely bound water, while more rapidly relaxing components are assigned to macromolecular-bound water. Off-diagonal peaks show intercompartmental exchange. Visually non-degraded samples 2 and 3 show cross-peak development between these compartments on time scales of 10 - 20 ms. The third non-degraded sample, sample 1, did not exhibit intercompartment exchange over the maximum mixing time of 40 ms. Sample 4, the degraded sample, showed the most rapid development of exchange cross-peaks, which were well-established by 10 ms.
Figure 3: Relative off-diagonal cross peak areas, indicating buildup with mixing time followed by diminution for the case of most rapid exchange3.
Figure 4: T1-T2 distributions, with components defined by joint (T1, T2) values. The small amplitude components at the edges represent inversion artifacts. In addition, for two of the non-degraded samples (samples 2 and 3) and for the degraded sample (sample 4), the T1 values of all components are equal, reflecting intercompartmental exchange rapid on the T1 time scale. For one of the non-degraded samples, sample 1, distinct T1 values are seen. This indicates intercompartment exchange which is slow on the T1 time scale, consistent with the lack of T2-T2 exchange peaks for this sample (Fig. 2).
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