Preface |
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xv | |
Abbreviations |
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xvii | |
Supplementary Material |
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xxiv | |
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1 | (1) |
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1 | (2) |
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1.2 Classical Magnetic Moments |
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3 | (2) |
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1.3 Nuclear Magnetization |
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5 | (4) |
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9 | (2) |
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1.5 Rotating Frame of Reference |
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11 | (1) |
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1.6 Transverse T2 and T2* Relaxation |
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12 | (4) |
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16 | (1) |
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1.8 Fourier Transform NMR |
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17 | (3) |
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20 | (3) |
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23 | (1) |
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1.10.1 Analog-to-digital Conversion |
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23 | (2) |
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25 | (1) |
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1.10.3 Digital Fourier Transformation |
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25 | (1) |
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25 | (1) |
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26 | (2) |
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1.11 Quantum Description of NMR |
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28 | (2) |
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30 | (3) |
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1.13 Chemical and Magnetic Equivalence |
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33 | (4) |
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37 | (3) |
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40 | (3) |
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2 In Vivo NMR Spectroscopy - Static Aspects |
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43 | (1) |
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43 | (1) |
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2.2 Proton NMR Spectroscopy |
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43 | (47) |
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52 | (1) |
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2.2.2 N-Acetyl Aspartate (NAA) |
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52 | (1) |
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2.2.3 N-Acetyl Aspartyl Glutamate (NAAG) |
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53 | (1) |
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2.2.4 Adenosine Triphosphate (ATP) |
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54 | (1) |
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55 | (1) |
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2.2.6 γ-Aminobutyric Acid (GABA) |
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56 | (1) |
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2.2.7 Ascorbic Acid (Asc) |
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57 | (1) |
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2.2.8 Aspartic Acid (Asp) |
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58 | (1) |
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2.2.9 Branched-chain Amino Acids (Isoleucine, Leucine, and Valine) |
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58 | (1) |
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2.2.10 Choline-containing Compounds (tCho) |
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59 | (2) |
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2.2.11 Creatine (Cr) and Phosphocreatine (PCr) |
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61 | (1) |
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62 | (1) |
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2.2.13 Ethanolamine (EA) and Phosphorylethanolamine (PE) |
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63 | (1) |
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63 | (1) |
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64 | (1) |
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65 | (1) |
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66 | (1) |
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67 | (1) |
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68 | (1) |
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68 | (1) |
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69 | (1) |
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70 | (1) |
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2.2.23 β-Hydoxybutyrate (BHB) |
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70 | (1) |
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2.2.24 2-Hydroxyglutarate (2HG) |
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71 | (1) |
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2.2.25 myo-Inositol (mI) and scyllo-Inositol (sI) |
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72 | (1) |
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73 | (1) |
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74 | (2) |
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2.2.28 Nicotinamide Adenine Dinucleotide (NAD+) |
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76 | (1) |
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76 | (1) |
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77 | (1) |
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78 | (1) |
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79 | (1) |
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79 | (1) |
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80 | (1) |
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80 | (1) |
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80 | (1) |
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81 | (1) |
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2.2.38 Non-cerebral Metabolites |
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82 | (1) |
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2.2.39 Carnitine and Acetyl-carnitine |
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82 | (2) |
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84 | (2) |
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86 | (1) |
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2.2.42 Deoxymyoglobin (DMb) |
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87 | (1) |
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87 | (2) |
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2.2.44 Spermine and Polyamines |
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89 | (1) |
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2.3 Phosphorus-31 NMR Spectroscopy |
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90 | (3) |
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90 | (2) |
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92 | (1) |
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2.4 Carbon-13 NMR Spectroscopy |
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93 | (1) |
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93 | (3) |
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2.5 Sodium-23 NMR Spectroscopy |
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96 | (6) |
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2.6 Fluorine-19 NMR Spectroscopy |
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102 | (2) |
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2.7 In vivo NMR on Other Non-proton Nuclei |
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104 | (2) |
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106 | (2) |
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108 | (21) |
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3 In Vivo NMR Spectroscopy - Dynamic Aspects |
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129 | (1) |
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129 | (1) |
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129 | (1) |
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3.2.1 General Principles of Dipolar Relaxation |
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129 | (4) |
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3.2.2 Nuclear Overhauser Effect |
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133 | (1) |
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3.2.3 Alternative Relaxation Mechanisms |
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134 | (3) |
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3.2.4 Effects of T1 Relaxation |
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137 | (1) |
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3.2.5 Effects of T2 Relaxation |
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138 | (3) |
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3.2.6 Measurement of T1 and T2 Relaxation |
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141 | (1) |
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141 | (1) |
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3.2.6.2 Inversion Recovery |
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141 | (1) |
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3.2.6.3 Saturation Recovery |
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142 | (1) |
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3.2.6.4 Variable Nutation Angle |
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142 | (1) |
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3.2.6.5 MR Fingerprinting |
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143 | (1) |
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143 | (1) |
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144 | (3) |
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3.3 Magnetization Transfer |
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147 | (2) |
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149 | (1) |
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150 | (2) |
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3.3.3 Multiple Exchange Reactions |
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152 | (1) |
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152 | (4) |
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3.3.5 Chemical Exchange Saturation Transfer (CEST) |
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156 | (4) |
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160 | (5) |
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3.4.1 Principles of Diffusion |
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160 | (1) |
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160 | (9) |
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3.4.3 Anisotropic Diffusion |
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169 | (4) |
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3.4.4 Restricted Diffusion |
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173 | (2) |
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3.5 Dynamic NMR of Isotopically-Enriched Substrates |
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175 | (2) |
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3.5.1 General Principles and Setup |
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177 | (1) |
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177 | (7) |
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3.5.3 Thermally Polarized Dynamic 13C NMR Spectroscopy |
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184 | (1) |
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3.5.3.1 [ 1-13C]-Glucoseand [ 1,6-13C2]-Glucose |
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184 | (1) |
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185 | (2) |
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3.5.3.3 [ U-13C6]-Glucose |
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187 | (1) |
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187 | (2) |
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3.5.4 Hyperpolarized Dynamic 13C NMR Spectroscopy |
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189 | (1) |
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3.5.4.1 Brute Force Hyperpolarization |
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189 | (1) |
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3.5.4.2 Optical Pumping of Noble Gases |
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190 | (1) |
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3.5.4.3 Parahydrogen-induced Polarization (PHIP) |
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191 | (2) |
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3.5.4.4 Signal Amplification by Reversible Exchange (SABRE) |
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193 | (1) |
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3.5.4.5 Dynamic Nuclear Polarization (DNP) |
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193 | (3) |
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3.5.5 Deuterium Metabolic Imaging (DMI) |
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196 | (1) |
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197 | (2) |
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199 | (12) |
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4 Magnetic Resonance imaging |
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211 | (1) |
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211 | (1) |
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4.2 Magnetic Field Gradients |
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211 | (1) |
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212 | (3) |
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215 | (4) |
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215 | (1) |
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216 | (3) |
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219 | (2) |
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4.6 Spatial Frequency Space |
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221 | (4) |
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225 | (9) |
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225 | (1) |
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4.7.2 Rapid k-Space Traversal |
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226 | (3) |
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229 | (1) |
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230 | (3) |
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233 | (1) |
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234 | (2) |
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4.8.1 Ti and T2 Relaxation Mapping |
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236 | (3) |
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4.8.2 Magnetic Field B0 Mapping |
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239 | (2) |
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4.8.3 Magnetic Field B1 Mapping |
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241 | (1) |
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4.8.4 Alternative Image Contrast Mechanisms |
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242 | (1) |
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243 | (2) |
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245 | (4) |
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249 | (4) |
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253 | (1) |
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253 | (1) |
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253 | (6) |
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259 | (1) |
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5.3.1 Fourier-transform-based RF Pulses |
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260 | (2) |
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5.3.2 RF Pulse Characteristics |
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262 | (4) |
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5.3.3 Optimized RF Pulses |
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266 | (3) |
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5.3.4 Multifrequency RF Pulses |
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269 | (2) |
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271 | (2) |
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273 | (2) |
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5.5.1 Rotating Frame of Reference |
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275 | (1) |
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5.5.2 Adiabatic Condition |
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276 | (2) |
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5.5.3 Modulation Functions |
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278 | (2) |
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280 | (2) |
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5.5.5 Adiabatic Plane Rotation of Arbitrary Nutation Angle |
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282 | (2) |
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5.6 Multidimensional RF Pulses |
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284 | (1) |
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5.7 Spectral-Spatial RF Pulses |
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284 | (2) |
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286 | (2) |
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288 | (5) |
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6 Single Volume Localization and Water Suppression |
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293 | (1) |
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293 | (1) |
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6.2 Single-volume Localization |
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294 | (1) |
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6.2.1 Image Selected In Vivo Spectroscopy (ISIS) |
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295 | (2) |
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6.2.2 Chemical Shift Displacement |
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297 | (4) |
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6.2.3 Coherence Selection |
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301 | (1) |
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302 | (1) |
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6.2.3.2 Magnetic Field Gradients |
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302 | (2) |
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6.2.4 STimulated Echo Acquisition Mode (STEAM) |
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304 | (3) |
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6.2.5 Point Resolved Spectroscopy (PRESS) |
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307 | (2) |
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6.2.6 Signal Dephasing with Magnetic Field Gradients |
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309 | (5) |
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6.2.7 Localization by Adiabatic Selective Refocusing (LASER) |
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314 | (3) |
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317 | (1) |
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6.3.1 Binomial and Related Pulse Sequences |
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318 | (2) |
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6.3.2 Frequency-Selective Excitation |
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321 | (2) |
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6.3.3 Frequency-Selective Refocusing |
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323 | (1) |
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6.3.4 Relaxation-Based Methods |
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323 | (3) |
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6.3.5 Non-water-suppressed NMR Spectroscopy |
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326 | (1) |
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327 | (3) |
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330 | (5) |
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7 Spectroscopic Imaging and Multivolume Localization |
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335 | (1) |
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335 | (1) |
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335 | (3) |
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7.3 /c-Space Description of MRSI |
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338 | (1) |
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7.4 Spatial Resolution in MRSI |
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339 | (2) |
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7.5 Temporal Resolution in MRSI |
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341 | (2) |
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7.5.1 Conventional Methods |
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343 | (1) |
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7.5.1.1 Circular and Spherical/(r-Space Sampling |
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343 | (1) |
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7.5.1.2 /c-Space Apodization During Acquisition |
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343 | (1) |
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345 | (1) |
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7.5.2 Methods Based on Fast MRI |
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346 | (1) |
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7.5.2.1 Echo-planar Spectroscopic Imaging (EPSI) |
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346 | (3) |
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349 | (1) |
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350 | (1) |
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7.5.3 Methods Based on Prior Knowledge |
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351 | (2) |
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353 | (7) |
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7.6.1 Relaxation-based Methods |
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353 | (2) |
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7.6.2 Inner Volume Selection and Volume Prelocalization |
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355 | (2) |
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7.6.3 Outer Volume Suppression (OVS) |
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357 | (3) |
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7.7 MR Spectroscopic Image Processing and Display |
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360 | (4) |
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7.8 Multivolume Localization |
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364 | (4) |
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7.8.1 Hadamard Localization |
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365 | (1) |
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7.8.2 Sequential Multivolume Localization |
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366 | (2) |
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368 | (2) |
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370 | (5) |
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8 Spectral Editing and 2D NMR |
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375 | (1) |
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375 | (1) |
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8.2 Quantitative Descriptions of NMR |
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375 | (5) |
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8.2.1 Density Matrix Formalism |
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376 | (1) |
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8.2.2 Classical Vector Model |
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377 | (1) |
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8.2.3 Correlated Vector Model |
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378 | (1) |
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8.2.4 Product Operator Formalism |
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379 | (1) |
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380 | (4) |
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384 | (11) |
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384 | (1) |
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8.4.2 Practical Considerations |
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385 | (4) |
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8.4.3 GABA, 2HG, and Lactate |
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389 | (6) |
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8.5 Multiple Quantum Coherence Editing |
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395 | (5) |
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8.6 Spectral Editing Alternatives |
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400 | (2) |
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8.7 Heteronuclear Spectral Editing |
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402 | (8) |
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8.7.1 Proton-observed, Carbon-edited (POCE) MRS |
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402 | (5) |
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8.7.2 Polarization Transfer - INEPT and DEPT |
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407 | (3) |
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410 | (4) |
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414 | (1) |
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8.10 Two-dimensional NMR Spectroscopy |
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415 | (14) |
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8.10.1 Correlation Spectroscopy (COSY) |
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416 | (6) |
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8.10.2 J-resolved Spectroscopy (JRES) |
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422 | (2) |
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8.10.3 In vivo 2D NMR Methods |
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424 | (5) |
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429 | (3) |
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432 | (7) |
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9 Spectral Quantification |
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439 | (1) |
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439 | (1) |
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440 | (3) |
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9.2.1 Magnetic Field Homogeneity |
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440 | (2) |
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9.2.2 Spatial Localization |
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442 | (1) |
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442 | (1) |
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442 | (1) |
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443 | (4) |
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9.3.1 Phased-array Coil Combination |
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443 | (1) |
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9.3.2 Phasing and Frequency Alignment |
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444 | (1) |
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9.3.3 Line-shape Correction |
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444 | (1) |
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9.3.4 Removal of Residual Water |
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444 | (2) |
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9.3.5 Baseline Correction |
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446 | (1) |
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447 | (1) |
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9.4.1 Time-and Frequency-domain Parameters |
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447 | (3) |
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450 | (3) |
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9.4.3 Spectral Fitting Algorithms |
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453 | (4) |
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457 | (3) |
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460 | (1) |
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461 | (1) |
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9.5.2 Nuclear Overhauser Effects |
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462 | (1) |
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9.5.3 Transverse Relaxation |
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462 | (1) |
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462 | (1) |
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462 | (1) |
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463 | (1) |
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9.5.7 Frequency-dependent Amplitude- and Phase Distortions |
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463 | (1) |
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463 | (1) |
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9.5.9 Internal Concentration Reference |
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464 | (2) |
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9.5.10 External Concentration Reference |
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466 | (1) |
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9.5.11 Phantom Replacement Concentration Reference |
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466 | (1) |
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467 | (2) |
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469 | (4) |
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473 | (1) |
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473 | (1) |
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473 | (5) |
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10.3 Magnetic Field Homogeneity |
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478 | (1) |
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10.3.1 Origins of Magnetic Field Inhomogeneity |
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478 | (4) |
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10.3.2 Effects of Magnetic Field Inhomogeneity |
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482 | (3) |
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10.3.3 Principles of Spherical Harmonic Shimming |
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485 | (4) |
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10.3.4 Practical Spherical Harmonic Shimming |
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489 | (2) |
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10.3.5 Alternative Shimming Strategies |
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491 | (2) |
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10.4 Magnetic Field Gradients |
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493 | (5) |
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498 | (1) |
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499 | (4) |
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503 | (1) |
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10.5 Radiofrequency (RF) Coils |
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503 | (1) |
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10.5.1 Electrical Circuit Analysis |
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503 | (6) |
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10.5.2 RF Coil Performance |
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509 | (1) |
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10.5.3 Spatial Field Properties |
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510 | (2) |
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10.5.3.1 Longitudinal Magnetic Fields |
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512 | (1) |
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10.5.3.2 Transverse Magnetic Fields |
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513 | (1) |
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10.5.4 Principle of Reciprocity |
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514 | (1) |
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10.5.4.1 Electromagnetic Wave Propagation |
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515 | (2) |
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10.5.5 Parallel Transmission |
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517 | (2) |
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10.5.6 RF Power and Specific Absorption Rate (SAR) |
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519 | (1) |
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10.5.7 Specialized RF Coils |
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520 | (1) |
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10.5.7.1 Combined Transmit and Receive RF Coils |
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521 | (1) |
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10.5.7.2 Phased-Array Coils |
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522 | (1) |
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10.5.7.3 1H-[ 13C] and BC-[ 1H] RF Coils |
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522 | (4) |
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10.5.7.4 Cooled and Superconducting RF Coils |
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525 | (1) |
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526 | (1) |
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526 | (1) |
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527 | (1) |
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10.6.3 Quadrature Detection |
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528 | (1) |
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529 | (1) |
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10.6.5 Gradient and Shim Systems |
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530 | (2) |
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532 | (2) |
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534 | (8) |
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542 | (11) |
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542 | (1) |
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A.2 Trigonometric Equations |
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543 | (1) |
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A.3 Fourier Transformation |
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543 | (3) |
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543 | (1) |
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544 | (1) |
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544 | (1) |
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A.3.2.2 Time and Frequency Shifting |
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544 | (1) |
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545 | (1) |
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545 | (1) |
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A.3.3 Discrete Fourier Transformation |
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545 | (1) |
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A.4 Product Operator Formalism |
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546 | (4) |
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A.4.1 Cartesian Product Operators |
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546 | (2) |
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A.4.2 Shift (Lowering and Raising) Operators |
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548 | (2) |
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550 | (2) |
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552 | (1) |
Index |
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553 | |