{"id":209105,"date":"2024-03-21T14:06:00","date_gmt":"2024-03-21T14:06:00","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/%e3%82%b9%e3%83%94%e3%83%b3-%e3%82%b9%e3%83%94%e3%83%b3%e7%b7%a9%e5%92%8c%ef%bc%88t2%ef%bc%89%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/"},"modified":"2024-05-17T15:07:19","modified_gmt":"2024-05-17T15:07:19","slug":"%e3%82%b9%e3%83%94%e3%83%b3-%e3%82%b9%e3%83%94%e3%83%b3%e7%b7%a9%e5%92%8c%ef%bc%88t2%ef%bc%89%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/ja\/%e3%82%b9%e3%83%94%e3%83%b3-%e3%82%b9%e3%83%94%e3%83%b3%e7%b7%a9%e5%92%8c%ef%bc%88t2%ef%bc%89%e5%bc%8f-%e6%a6%82%e8%a6%81%e3%81%a8%e8%a8%88%e7%ae%97%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\uff08T2\uff09\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5"},"content":{"rendered":"

\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\uff08T2\uff09\u306e\u57fa\u672c\u6982\u5ff5\u3068\u8a08\u7b97\u65b9\u6cd5\u3092\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3057\u3001NMR\u3084MRI\u306b\u304a\u3051\u308b\u4fe1\u53f7\u6e1b\u8870\u306e\u7406\u89e3\u3092\u6df1\u3081\u307e\u3059\u3002<\/p>\n

\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\uff08T2\uff09\u5f0f | \u6982\u8981\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n

\n\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\uff08T2\uff09\u306f\u6838\u78c1\u6c17\u5171\u9cf4\uff08NMR\uff09\u3084\u78c1\u6c17\u5171\u9cf4\u753b\u50cf\u6cd5\uff08MRI\uff09\u3067\u91cd\u8981\u306a\u6982\u5ff5\u3067\u3059\u3002T2\u306f\u3001\u30de\u30b0\u30cd\u30c6\u30a3\u30c3\u30af\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6a2a\u65b9\u5411\uff08XY\u5e73\u9762\uff09\u3067\u5931\u308f\u308c\u308b\u6642\u9593\u5b9a\u6570\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u73fe\u8c61\u306b\u3088\u308a\u3001\u30b9\u30d4\u30f3\u7cfb\u5185\u306e\u78c1\u6c17\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u3069\u3046\u5206\u5e03\u3057\u3001\u3069\u308c\u304f\u3089\u3044\u306e\u901f\u3055\u3067\u4f4d\u76f8\u3092\u5931\u3063\u3066\u3044\u308b\u304b\u304c\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\n<\/p>\n

\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\uff08T2\uff09\u306e\u6982\u8981<\/h2>\n

\nT2\u7de9\u548c\u306f\u3001\u5916\u90e8\u78c1\u5834\u306b\u5bfe\u3057\u3066\u5782\u76f4\u306a\u5e73\u9762\u3067\u30b9\u30d4\u30f3\u304c\u30c7\u30b3\u30d2\u30fc\u30ec\u30f3\u30b9\u3057\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6563\u9038\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u3067\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u30b9\u30d4\u30f3\u306e\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3084\u78c1\u5834\u306e\u4e0d\u5747\u4e00\u6027\u306b\u8d77\u56e0\u3057\u307e\u3059\u3002\u5404\u30b9\u30d4\u30f3\u306e\u78c1\u5834\u306f\u76f8\u4e92\u4f5c\u7528\u3057\u5408\u3044\u3001\u3053\u308c\u306b\u3088\u3063\u3066\u4f4d\u76f8\u30b3\u30d2\u30fc\u30ec\u30f3\u30b9\u304c\u5931\u308f\u308c\u307e\u3059\u3002\u3053\u308c\u304cT2\u6e1b\u8870\u3068\u547c\u3070\u308c\u308b\u73fe\u8c61\u3067\u3059\u3002\n<\/p>\n

\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\u6642\u9593\uff08T2\uff09\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n

\n\u30b9\u30d4\u30f3-\u30b9\u30d4\u30f3\u7de9\u548c\u6642\u9593\uff08T2\uff09\u306e\u5b9a\u91cf\u7684\u306a\u7406\u89e3\u306b\u306f\u3001\u7279\u5b9a\u306e\u6570\u5024\u8a08\u7b97\u304c\u5fc5\u8981\u3067\u3059\u3002T2\u306b\u95a2\u9023\u3059\u308b\u4fe1\u53f7\u306e\u6e1b\u8870\u306f\u3001\u4e0b\u8a18\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\uff1a\n<\/p>\n

\n
\nS(t) = S(0) \\cdot e^{-t\/T2}
\n<\/latex>\n<\/p>\n

\n\u3053\u3053\u3067\u3001S(t)\u306f\u6642\u9593 t \u306b\u304a\u3051\u308b\u4fe1\u53f7\u5f37\u5ea6\u3001S(0)\u306f\u521d\u671f\u4fe1\u53f7\u5f37\u5ea6\u3001T2\u306f\u6a2a\u7de9\u548c\u6642\u9593\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u306e\u6307\u6570\u95a2\u6570\u7684\u6e1b\u8870\u306f\u3001\u6642\u9593\u304c\u7d4c\u3064\u306b\u9023\u308c\u3066\u3069\u306e\u304f\u3089\u3044\u901f\u304f\u4fe1\u53f7\u304c\u6d88\u3048\u308b\u304b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\n<\/p>\n

\u5b9f\u969b\u306e\u8a08\u7b97\u4f8b<\/h2>\n

\n\u5177\u4f53\u7684\u306a\u4f8b\u3092\u6319\u3052\u3066\u8aac\u660e\u3057\u307e\u3057\u3087\u3046\u3002\u4eee\u306b\u521d\u671f\u4fe1\u53f7\u5f37\u5ea6 S(0) \u304c 100 \u3067\u3001T2 \u304c 500 \u30df\u30ea\u79d2\uff08ms\uff09\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u6642\u9593 t \u304c 200 ms \u306e\u5834\u5408\u3001S(t) \u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\uff1a\n<\/p>\n

\n
\nS(200) = 100 \\cdot e^{-\\frac{200}{500}}
\n<\/latex>\n<\/p>\n

\n\u3053\u308c\u3092\u8a08\u7b97\u3059\u308b\u3068\uff1a\n<\/p>\n

\n
\nS(200) \\approx 100 \\cdot e^{-0.4} \\approx 100 \\cdot 0.6703 \\approx 67.03
\n<\/latex>\n<\/p>\n

\n\u3064\u307e\u308a\u3001200 ms \u5f8c\u306e\u4fe1\u53f7\u5f37\u5ea6 S(200) \u306f\u7d04 67.03 \u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001T2\u5024\u3092\u77e5\u308b\u3053\u3068\u3067\u4fe1\u53f7\u306e\u6e1b\u8870\u306b\u3064\u3044\u3066\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\n<\/p>\n

\u307e\u3068\u3081<\/h2>\n

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\n\u305c\u3072\u3001\u3053\u306e\u57fa\u672c\u7684\u306a\u539f\u7406\u3092\u7406\u89e3\u3057\u3001\u5fdc\u7528\u5206\u91ce\u3078\u306e\u8208\u5473\u3092\u5e83\u3052\u3066\u307f\u3066\u304f\u3060\u3055\u3044\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"

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