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New Statistical Algorithms for the Analysis of Mass - FU Berlin, FB MI ...

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62 CHAPTER 3. MATHEMATICAL MODELING AND ALGORITHMS<br />

whe<strong>the</strong>r it contains peaks similar to those <strong>the</strong> fingerprint consists <strong>of</strong> (see<br />

chapter 4).<br />

� Second, <strong>the</strong> components (peaks) <strong>of</strong> a fingerprint can be analyzed fur<strong>the</strong>r,<br />

that is, <strong>the</strong> underlying molecules can be determined and advanced studies<br />

can be made to investigate <strong>the</strong> role <strong>of</strong> <strong>the</strong>se molecules in <strong>the</strong> human<br />

body (see section 6.2.3).<br />

� Third, <strong>the</strong>y can be used to cluster spectra to detect sub-groups even<br />

within a group, e.g. a particular type <strong>of</strong> cancer (see section 4.3.3.

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