Converged absorption component shape

In Figure 6.16, the converged absorption component shape spectra (left panels) and total shape spectra (right panels) are compared for normal... 

Figure 6.20 Converged absorption component shape spectra (top panel (i)) and converged absorption total shape spectra (bottom panel (ii)) both reconstructed by the FPT based on in vitro MRS data from Ref. [54] for normal glandular prostate.

The converged absorption component shape spectrum (top panel (i)) and total absorption shape spectrum (lower panel (ii)) for prosfafe cancer between 2.40 and 3.70 ppm at Np = 800 are compared in Figure 6.26. Strikingly, the serrated peaks on the total shape spectrum only suggest the number of underlying resonances. The converged componenf specfrum is essential to visualize the actual number and structure of resonances. For example, from the small polyamine peaks, it would be difficult to know that there are actually two components. 

Figure 4.5 The initial convergence regions (panels (i), (iv)), absorption total shape spectra (panels (ii), (v)), and absorption component shape spectra (panels (iii), (vi)) in the FPT+) (left column) and FPT-) (right column). The middle panels display the usual abbreviations for the main MR-detectable metabolites in the healthy human brain, whereas the bottom panels give the corresponding numbers of these metabolites (see Table 4.1).

Figure 4.8 Absorption component shape spectra (left) and absorption total shape spectra (right) from the FPTf 1 near full convergence for signal lengths Np = 180,220,260. On panel (iv) for Np = 180, the total shape spectrum reached full convergence, despite the fact that on panel (i) for the corresponding component shape spectra, the 11th peak is missing and the 12th peak is overestimated.

We present the absorption component shape spectra and the total shape spectra as reconstructed by the FPT for the normal breast data in Figure 6.10 at three partial signal lengths Np = 1000,1500, and 2000. The top right panel (iv) indicates that at Np = 1000, the absorption total shape spectrum has converged. In contrast, for the component shape spectrum (top left panel (i)), there is only one peak (phosphoethanolamine. A = 5) at 3.22 ppm that has been overestimated, whereas phosphocholine, (A = 4) has not been detected. 

Figure 6.16 Converged absorption component spectra (left panels) and total shape spectra (right panels) as reconstructed by the FPT at Np = 1500. The upper panels (i) and (iv) correspond to normal breast tissue, the middle panels (ii) and (v) to fibroadenoma and the lower panels (iii) and (vi) to malignant breast, derived from in vitro data in Ref [31].

Figures 6.29 and 6.30, respectively, show the converged absorption component and total shape spectra for normal glandular prostate (upper panels (i)), normal stromal prostate (middle panels (ii)), and prostate cancer data (lower panels (iii)) within the spectral region between 2.40 and 3.70 ppm at Np = 800. The component spectra clearly distinguish PCho and GPC, which is not the case for the total shape spectra.

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