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22  2  Principles of Computed Tomography and Magnetic Resonance Imaging
            that  accumulate  gadolinium  within  them  “contrast   spatial  resolution. This  is  accomplished  by  adjusting  the
            enhance” on T1‐weighted sequences [1, 3, 7].      slice thickness, field of view, and matrix size (Figure 2.12).
              Magnetic resonance sequences are optimized to achieve   Smaller  voxel  size through decreasing  either  the field of
            adequate spatial resolution and image quality. The desire is   view or the slice thickness will achieve this goal but comes
            to have the smallest voxel size possible as this yields greater   with a cost. This cost is signal. Smaller voxels will have less
                                                              signal, leading to a serious degradation in image quality.
                                                              Techniques such as signal averaging can be instituted to
            Table 2.3  Estimates of various T1 and T2 time for various
            biological tissues                                compensate  for  this,  but  will  add  significant  time  to  the
                                                              scan. As a result, there is a balance between adequate sig-
                                  T1 at 1.5 T (ms)  T2 (ms)   nal,  scan  time,  and  spatial  resolution  that  needs  to  be
                                                              achieved [8].
             Cerebrospinal fluid      2400            160
             Gray matter               900            100     2.4.4  Magnetic Resonance Summary
             White matter              780             90
             Muscle                    870             45     Magnetic  resonance  is  a  complex  imaging  modality.
             Liver                     500             40     Through the use of electromagnetic properties of primarily
                                                              hydrogen protons, images of excellent contrast resolution
             Fat                       260             80     can be obtained in all three planes (Figure 2.13). Usually a
            Source: Reference [1].                            combination of sequences is performed in various planes,



                              (a)
                                                            T1
                                1
                               0.9
                               0.8
                               0.7
                               0.6
                               0.5
                               0.4
                               0.3
                               0.2
                               0.1
                                0
                                 0         1000       2000       3000       4000       5000
                              (b)
                                                        T2 decay
                                1
                               0.9
                               0.8
                               0.7
                               0.6
                               0.5
                               0.4
                               0.3
                               0.2
                               0.1
                                0
                                 0         100        200        300        400        500
            Figure 2.9  (a) T1 recovery curve. T1 recovery is caused by hydrogen nuclei giving up the gained energy to the surrounding lattice,
            causing the nuclei to recover their longitudinal magnetization. The T1 time is the time it takes for 63% of longitudinal magnetization
            to recover. (b) T2 decay curve. T2 decay is caused by the hydrogen nuclei giving up the gained energy to neighboring nuclei. This
            results in a loss of transverse magnetization as the nuclei will be precessing at variable rates. The T2 time is the time it takes for the
            transverse magnetization to decay to 37% of its maximum value.
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