{"id":33990,"date":"2022-04-22T21:18:14","date_gmt":"2022-04-22T13:18:14","guid":{"rendered":"https:\/\/swarma.org\/?p=33990"},"modified":"2022-04-22T21:18:14","modified_gmt":"2022-04-22T13:18:14","slug":"%e7%bb%8f%e5%85%b8%e7%bb%bc%e8%bf%b0%ef%bc%9a%e5%a4%a7%e5%b0%ba%e5%ba%a6%e8%84%91%e6%b4%bb%e5%8a%a8%e7%9a%84%e5%8a%a8%e5%8a%9b%e5%ad%a6%e6%a8%a1%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=33990","title":{"rendered":"\u7ecf\u5178\u7efc\u8ff0\uff1a\u5927\u5c3a\u5ea6\u8111\u6d3b\u52a8\u7684\u52a8\u529b\u5b66\u6a21\u578b"},"content":{"rendered":"
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\u7814\u7a76\u9886\u57df\uff1a\u795e\u7ecf\u5143\u96c6\u4f53\u6d3b\u52a8\uff0c\u7cfb\u7efc\u7406\u8bba\uff0c\u590d\u6742\u7f51\u7edc<\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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Dynamic models of large-scale brain activity<\/span><\/p>\n

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https:\/\/www.nature.com\/articles\/nn.4497<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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      \u795e\u7ecf\u573a\u6a21\u578b<\/strong><\/section>\n<\/li>\n<\/ol>\n
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      \u56db\u3001\u5927\u5c3a\u5ea6\u795e\u7ecf\u7cfb\u7edf\u6a21\u578b\u7684\u524d\u6cbf<\/span><\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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      \u96c6\u4f53\u795e\u7ecf\u5143\u6d3b\u52a8\u7684\u6a21\u578b\u5bf9\u4e8e\u7406\u89e3\u77e5\u89c9\u548c\u884c\u4e3a\u4ee5\u53ca\u5927\u89c4\u6a21\u795e\u7ecf\u5f71\u50cf\u6570\u636e\u7684\u51b3\u5b9a\u56e0\u7d20\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u8fd9\u4e9b\u6a21\u578b\u4e5f\u6709\u5b83\u4eec\u6280\u672f\u4e0a<\/span>\uff08\u9650\u5236\u4e86\u5b83\u4eec\u7684\u5373\u65f6\u6548\u7528\uff09<\/span>\u548c\u6982\u5ff5\u4e0a<\/span>\uff08\u9650\u5236\u4e86\u5b83\u4eec\u7684\u6700\u7ec8\u6548\u7528\uff09<\/span> \u7684\u6ce8\u610f\u4e8b\u9879\u3002\u8fd9\u7bc7\u7efc\u8ff0\u4ecb\u7ecd\u4e86\u5927\u89c4\u6a21\u8111\u6d3b\u52a8\u7684\u52a8\u6001\u6a21\u578b\uff0c\u4ece\u57fa\u672c\u7406\u8bba\u7684\u539f\u5219\u5230\u6311\u6218\u3001\u4e89\u8bba\u548c\u6700\u8fd1\u7684\u7a81\u7834\u3002 <\/span><\/section>\n
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      \u4e00\u3001\u795e\u7ecf\u5143\u7fa4\u4f53\u884c\u4e3a\u7684\u539f\u7406<\/strong><\/strong><\/p>\n<\/section>\n

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        \u795e\u7ecf\u5143\u7cfb\u7efc\u65b9\u6cd5<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

        <\/section>\n
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        \u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u8868\u793a\u4e0d\u76f8\u5173\u7684\u968f\u673a\u53d8\u91cf\u4e4b\u548c\u6536\u655b\u4e8e\u9ad8\u65af\u6982\u7387\u5206\u5e03\uff0c\u5373\u4f7f\u4e2a\u522b\u8fc7\u7a0b\u662f\u9ad8\u5ea6\u975e\u9ad8\u65af\u7684\u3002\u6839\u636e\u8fd9\u4e2a\u6269\u6563\u8fd1\u4f3c<\/strong><\/span>\uff08diffusion approximation\uff09<\/span>\uff0c\u7531\u9ad8\u5ea6\u975e\u7ebf\u6027\u4f46\u57fa\u672c\u4e0a\u4e0d\u76f8\u5173\u7684\u52a8\u4f5c\u7535\u4f4d\u7ec4\u6210\u7684\u795e\u7ecf\u5143\u7cfb\u7efc\u6d3b\u52a8\uff0c\u53ef\u4ee5\u7b80\u5316\u4e3a\u4e00\u4e2a\u6807\u51c6\u6b63\u6001\u5206\u5e03\uff0c\u5177\u6709\u7b80\u5355\u7684\u7ebf\u6027\u7edf\u8ba1<\/strong>\u3002\u8fd9\u6837\uff0c\u4e00\u4e2a\u795e\u7ecf\u5143\u7cfb\u7efc<\/span>\uff08\u6bd4\u5982\u4e00\u4e2a\u76ae\u5c42\u533a\u57df\uff09<\/span>\u7684\u6d3b\u52a8\u53ef\u4ee5\u7531\u53d1\u653e\u7387\u7684\u5747\u503c<\/strong>\u548c\u65b9\u5dee<\/strong>\u4e24\u4e2a\u53d8\u91cf\u6765\u63cf\u8ff0\uff0c\u5e73\u5747\u53d1\u653e\u7387\u53cd\u6620\u4e86\u795e\u7ecf\u5143\u7fa4\u4f53\u5bf9\u603b\u8f93\u5165\u7684\u54cd\u5e94\uff0c\u800c\u65b9\u5dee\u5219\u53cd\u6620\u4e86\u968f\u673a\u6548\u5e94\u7684\u79bb\u6563\u7a0b\u5ea6\u3002<\/span><\/section>\n
         <\/span><\/section>\n
        \u63cf\u8ff0\u8fd9\u79cd\u7ebf\u6027\u6b63\u6001\u5206\u5e03\u7cfb\u7efc\u7684\u52a8\u529b\u5b66\u65b9\u7a0b\u53eb\u505a Fokker\u2013Planck\u65b9\u7a0b<\/strong><\/span>\uff08FPE\uff09<\/span>\u3002\u5728\u6269\u6563\u8fd1\u4f3c\u6210\u7acb\u7684\u5047\u8bbe\u4e0b\uff0c\u4e00\u4e2a\u795e\u7ecf\u5143\u7cfb\u7efc\u7684 FPE \u53ef\u4ee5\u4ece\u7b80\u5355\u7684\u6574\u5408\u53d1\u653e<\/span>\uff08integrate-and-fire\uff09<\/span>\u795e\u7ecf\u5143\u6a21\u578b\u89e3\u6790\u5730\u5bfc\u51fa[9]\u3002<\/span><\/section>\n
         <\/span><\/section>\n
        \u5e73\u5747\u53d1\u653e\u7387\u5b9e\u8d28\u4e0a\u662f\u6240\u6709\u795e\u7ecf\u5143\u54cd\u5e94\u7684\u88ab\u52a8\u603b\u548c\uff0c\u5e76\u7f16\u7801\u5176\u8f93\u5165\u7684\u5e73\u5747<\/span>\uff08\u6700\u53ef\u80fd\u7684\uff09<\/span>\u603b\u4f53\u8868\u793a\u3002FPE \u8fd8\u63cf\u8ff0\u4e86\u603b\u4f53\u65b9\u5dee\u7684\u52a8\u529b\u5b66\uff0c\u5bf9\u5e94\u4e8e\u603b\u4f53\u54cd\u5e94\u7684\u8868\u5f81\u7cbe\u5ea6[10]\u3002\u4f5c\u4e3a\u7cfb\u7efc\u53d8\u5316\u7684\u8f93\u5165\uff0cFPE \u6355\u6349\u7cfb\u7efc\u6d3b\u52a8\u7684\u6f02\u79fb<\/span>\uff08\u5e73\u5747\u503c\u7684\u53d8\u5316\uff09<\/span>\u548c\u6269\u6563<\/span>\uff08\u65b9\u5dee\u7684\u53d8\u5316\uff09<\/span>\u3002<\/span><\/section>\n
         <\/span><\/section>\n
        FPE \u662f\u5c40\u57df\u795e\u7ecf\u5143\u7fa4\u4f53\u7f16\u7801\u7684\u4e00\u79cd\u53ef\u89e3\u6790\u5b9e\u73b0\u7684\u8868\u5f81\u3002\u795e\u7ecf\u5143\u7684\u975e\u7ebf\u6027\uff0c\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u5c40\u57df\u76f8\u5173\u6027\u548c\u795e\u7ecf\u5143\u7c7b\u578b\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u90fd\u88ab\u6269\u6563\u8fd1\u4f3c\u6240\u5305\u542b\u3002FPE\u5c06\u8109\u51b2\u795e\u7ecf\u5143\u7fa4\u4f53\u7684\u6210\u5343\u4e0a\u4e07\u4e2a\u81ea\u7531\u5ea6\u7b80\u5316\u4e3a\u5747\u503c\u3001\u65b9\u5dee\u4e24\u4e2a\u53d8\u91cf<\/strong>\uff0c\u8fd9\u79cd\u7ef4\u5ea6\u7b80\u5316\u662f\u8d85\u8d8a\u201c\u5927\u8111\u66b4\u529b\u89e3\u91ca<\/span>\uff08\u5373\u8d85\u5927\u89c4\u6a21\u795e\u7ecf\u5143\u7f51\u7edc\uff09<\/span>\u201d\u7684\u6838\u5fc3[11]\u3002<\/span><\/section>\n
         <\/span><\/section>\n
        \u6b63\u6001\u5206\u5e03\u662f\u5747\u503c\u548c\u65b9\u5dee\u56fa\u5b9a\u65f6\uff0c\u71b5\u6700\u5927\u7684\u5206\u5e03\uff0c\u4ece\u4fe1\u606f\u8bba\u7684\u89c6\u89d2\uff0cFPE\u662f\u4e00\u4e2a\u795e\u7ecf\u5143\u7cfb\u7edf\u5305\u542b\u4fe1\u606f\u6700\u5c11<\/span>\uff08\u6f5c\u5728\u4fe1\u606f\u6700\u591a\uff09<\/span>\u7684\u8868\u5f81\u3002\u56e0\u6b64\uff0c\u7ebf\u6027 FPE \u53ef\u4ee5\u770b\u4f5c\u662f\u795e\u7ecf\u7cfb\u7edf\u5927\u5c3a\u5ea6\u6a21\u578b\u7684\u8d77\u70b9\u3002\u5f53\u7edf\u8ba1\u91cf\u670d\u4ece\u5176\u5b83\u7b80\u5355\u7684\u6982\u7387\u5206\u5e03<\/span>\uff08\u5982\u5e42\u5f8b\u5206\u5e03\uff09<\/span>\u65f6\uff0c\u5b58\u5728\u5b9a\u4e49\u826f\u597d\u4e14\u6613\u4e8e\u5904\u7406\u7684<\/span>\uff08\u975e\u7ebf\u6027\u6216\u5206\u6570\u9636\uff09<\/span> FPE\u3002\u968f\u673a\u573a\u7406\u8bba\u53ef\u4ee5\u9002\u5e94\u8fd9\u4e9b\u826f\u597d\u884c\u4e3a\u7684\u975e\u9ad8\u65af\u573a\u666f\u3002\u56e0\u6b64\uff0c\u8fd9\u4e9b\u66f4\u4e00\u822c\u7684 FPE \u5bf9\u4e8e\u5177\u6709\u5f3a\u76f8\u5173\u6027\u548c\u91cd\u5c3e\u7edf\u8ba1\u7279\u6027\u7684\u795e\u7ecf\u7cfb\u7edf\u7cfb\u7efc\u5efa\u6a21\u662f\u975e\u5e38\u6709\u7528\u7684\u3002\u7136\u800c\uff0c\u5c3d\u7ba1\u8fd9\u662f\u7406\u8bba\u7269\u7406\u5b66\u4e2d\u7684\u4e00\u4e2a\u6d3b\u8dc3\u9886\u57df\uff0c\u4f46\u5728\u795e\u7ecf\u79d1\u5b66\u4e2d\u5374\u662f\u4e00\u4e2a\u76f8\u5bf9\u672a\u88ab\u63a2\u7d22\u7684\u9886\u57df\u3002   <\/span><\/section>\n

        <\/span><\/section>\n
        <\/section>\n

        \u56fe1\uff1a\u795e\u7ecf\u5143\u7cfb\u7efc\u7b80\u5316\u7684\u539f\u7406\u3002(a) \u590d\u6742\u7684\u7a7a\u95f4\u7cfb\u7edf\uff0c\u4f8b\u5982\u4eba\u7c7b\u76ae\u5c42\u67f1\uff0c\u7531\u968f\u7740\u8ddd\u79bb\u51cf\u5f31\u7684\u76f8\u4e92\u4f5c\u7528\u8026\u5408\u5728\u4e00\u8d77\u7684\u7ec4\u5206\u6784\u6210\u3002(b) \u5982\u679c\u7531\u6b64\u4ea7\u751f\u7684\u76f8\u5173\u6027\u4e0e\u7cfb\u7edf\u7684\u5927\u5c0f\u76f8\u6bd4\u8870\u51cf\u5f97\u5f88\u5feb\uff0c\u7cfb\u7edf\u7684\u7edf\u8ba1\u6570\u636e\u4f1a\u6536\u655b\u5230\u4e00\u4e2a\u6b63\u6001\u5206\u5e03\uff08\u5185\u5d4c\u56fe\uff09 \uff0c\u5373\u4f7f\u4e2a\u522b\u7ec4\u6210\u90e8\u5206\u7684\u7edf\u8ba1\u6570\u636e\u662f\u9ad8\u5ea6\u975e\u9ad8\u65af\u7684\u3002(c) Fokker\u2013Planck\u65b9\u7a0b\u63cf\u8ff0\u4e86\u968f\u673a\u6da8\u843d\u7684\u8f93\u5165\u548c\u5f3a\u5ea6\u53d1\u751f\u53d8\u5316\u65f6\u7edf\u8ba1\u91cf\u662f\u5982\u4f55\u76f8\u5e94\u53d8\u5316\u7684\u3002\u5728\u8fd9\u91cc\uff0c\u968f\u7740\u8f93\u5165\u589e\u52a0\uff0c\u566a\u97f3\u53d8\u5f97\u4e0d\u90a3\u4e48\u6709\u5f71\u54cd\u529b\u3002\u5f53\u6211\u4eec\u6cbf\u7740\u7bad\u5934\u65b9\u5411\u79fb\u52a8\u65f6\uff0c\u5e73\u5747\u53d1\u653e\u7387\u4e0a\u5347\uff0c\u603b\u4f53\u5206\u5e03\u53d8\u5f97\u66f4\u52a0\u7cbe\u786e\u3002(d) \u5982\u679c\u7cfb\u7edf\u5185\u7684\u76f8\u5173\u6027\u53d8\u5f3a\u2014\u2014\u4f8b\u5982\uff0c\u7531\u4e8e\u540c\u6b65\u2014\u2014\u76f8\u5173\u957f\u5ea6\u5728\u7bad\u5934\u6307\u5411\u84dd\u66f2\u7ebf\u7684\u65b9\u5411\u4e0a\u5411\u7cfb\u7edf\u5927\u5c0f\u53d1\u6563\u3002\u4f5c\u4e3a\u6269\u6563\u8fd1\u4f3c\u57fa\u7840\u7684\u5047\u8bbe\u53ef\u80fd\u4e0d\u80fd\u5f97\u5230\u6ee1\u8db3\u3002(e) \u5982\u679c\u5b58\u5728\u5f3a\u70c8\u7684\u7cfb\u7efc\u76f8\u5173\uff0c\u7edf\u8ba1\u6570\u5b57\u53ef\u80fd\u4f1a\u6536\u655b\u5230\u4e00\u4e2a\u975e\u9ad8\u65af\u5206\u5e03\uff08\u84dd\u66f2\u7ebf\uff09\u3002\u5178\u578b\u7684\u6ce2\u52a8\u5411\u5e73\u5747\u503c\u6536\u7f29\uff08\u56e0\u6b64\u5206\u5e03\u53d8\u5f97\u66f4\u50cf\u5e10\u7bf7\uff09 \uff0c\u4f46\u662f\u5de6\u53f3\u5c3e\uff08\u6781\u7aef\u503c\uff09\u53d8\u5f97\u66f4\u80d6\uff0c\u76f8\u5e94\u7684\u662f\u7f55\u89c1\u4f46\u9ad8\u632f\u5e45\u7684\u540c\u6b65\u6ce2\u52a8\u3002<\/span><\/p>\n

         <\/span><\/section>\n
          \n
        1. \n

          \u795e\u7ecf\u7fa4\u4f53\u6a21\u578b<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n
           <\/span><\/section>\n
          \u5728\u5b58\u5728\u5f3a\u76f8\u5173\u7684\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u5408\u7406\u5730\u5047\u8bbe\u7cfb\u7efc\u6d3b\u52a8\u8db3\u591f\u63a5\u8fd1\u5e73\u5747\u503c\uff0c\u4ece\u800c\u53ef\u4ee5\u4e22\u5f03\u65b9\u5dee\u3002\u8fd9\u5c06\u7ef4\u5ea6\u7684\u6570\u91cf\u51cf\u5c11\u5230\u4e00\u4e2a\uff0c\u4f7f\u5f97\u591a\u4e2a\u76f8\u4e92\u4f5c\u7528\u7684\u5c40\u57df\u7fa4\u4f53\uff0c\u5982\u5728\u4e0d\u540c\u76ae\u5c42\u7684\u5174\u594b\u6027\u548c\u6291\u5236\u6027\u795e\u7ecf\u5143\u7fa4\u4f53\uff0c\u53ef\u4ee5\u7531\u8f83\u5c0f\u6570\u91cf\u7684\u65b9\u7a0b\u7ec4\u6a21\u62df\uff0c\u6bcf\u4e2a\u65b9\u7a0b\u63cf\u8ff0\u4e00\u4e2a\u795e\u7ecf\u5143\u7fa4\u4f53\u7684\u5e73\u5747\u6d3b\u52a8[12]\u3002\u8fd9\u79cd\u7fa4\u4f53\u4f5c\u7528\u65b9\u6cd5\u662f\u795e\u7ecf\u7fa4\u4f53\u6a21\u578b<\/strong><\/span>\uff08Neural mass models, NMMs\uff09<\/span>\u7684\u6838\u5fc3\u3002<\/span><\/section>\n
           <\/span><\/section>\n
          \u795e\u7ecf\u7fa4\u4f53\u6a21\u578b\u6709\u51e0\u79cd\u98ce\u683c\u3002\u5176\u4e2d\u4e00\u7c7b\u5047\u8bbe\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u662f\u5982\u6b64\u4e4b\u5f3a\uff0c\u4ee5\u81f3\u4e8e\u6574\u4e2a\u795e\u7ecf\u5143\u7cfb\u7efc\u7684\u52a8\u529b\u5b66\u7c7b\u4f3c\u4e8e\u5355\u4e2a\u795e\u7ecf\u5143\u7684\u52a8\u529b\u5b66\u3002\u76f8\u5e94\u5730\uff0c\u7cfb\u7efc\u5e73\u5747\u6d3b\u52a8\u6a21\u578b\u91c7\u7528\u4e0e\u5355\u795e\u7ecf\u5143\u6a21\u578b\u76f8\u540c\u7684\u57fa\u4e8e\u7535\u5bfc\u7684\u6a21\u578b\u3002\u6a21\u578b\u4f7f\u7528sigmoid\u7c7b\u578b\u7684\u6fc0\u6d3b\u51fd\u6570\uff0c\u5c06\u819c\u7535\u4f4d\u6620\u5c04\u4e3a\u5e73\u5747\u53d1\u653e\u7387\u3002sigmoid\u51fd\u6570\u7684\u5bbd\u5ea6\u9690\u542b\u5730\u5305\u542b\u4e86\u795e\u7ecf\u5143\u9608\u503c\u548c\u795e\u7ecf\u5143\u72b6\u6001\u7684\u6563\u5e03[13]\u3002\u8fd9\u79cdNMM\u4e0eFPE\u7684\u6838\u5fc3\u533a\u522b\u5728\u4e8e\uff0cNMM\u4e2d\u65b9\u5dee\u662f\u56fa\u5b9a\u503c\uff0c\u800cFPE\u5efa\u6a21\u4e86\u65b9\u5dee\u7684\u6f14\u5316\u3002\u8fd9\u79cdNMM\u901a\u5e38\u5305\u542b\u5174\u594b\u6027\u795e\u7ecf\u5143<\/span>\uff08\u6709\u7535\u5bfc\uff09<\/span>\u548c\u6291\u5236\u6027\u795e\u7ecf\u5143<\/span>\uff08\u901a\u5e38\u662f\u88ab\u52a8\u7684\uff09<\/span>\u7684\u8026\u5408\uff0c\u53ef\u4ee5\u5448\u73b0\u7a33\u6001\u3001\u5468\u671f\u6027\u548c\u6df7\u6c8c\u632f\u8361<\/span>\uff08\u901a\u8fc7\u5feb\u6162\u65f6\u95f4\u5c3a\u5ea6\u7684\u6df7\u5408\uff09<\/span>\u3002<\/span><\/section>\n
           <\/span><\/section>\n
          \u7b2c\u4e8c\u7c7b\u795e\u7ecf\u7fa4\u4f53\u6a21\u578b\u662f\u91c7\u7528 Hodgkin \u548c Huxley \u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u7ec6\u81f4\u7684\u7ecf\u9a8c\u89c2\u5bdf\u6765\u7406\u89e3\u6a21\u62df\u7cfb\u7edf\u5bf9\u8f93\u5165\u7684\u54cd\u5e94<\/span>\uff08\u552f\u8c61\u7406\u8bba\uff09<\/span>\u3002\u4e0eHodgkin-Huxley\u6a21\u578b\u7c7b\u4f3c\uff0c\u65e9\u671f\u7684NMM\u662f\u4ece\u4ed4\u7ec6\u89c2\u5bdf\u795e\u7ecf\u7fa4\u4f53<\/span>\uff08\u5154\u5b50\u55c5\u7403\uff09<\/span>\u5bf9\u9a71\u52a8\u8f93\u5165\u53d8\u5316\u7684\u96c6\u4f53\u53cd\u5e94\u4e2d\u5f97\u51fa\u7684[14]\u3002\u8fd9\u7c7b\u65b9\u6cd5\u5c0a\u91cd\u8fd9\u6837\u7684\u7406\u5ff5\uff1a\u590d\u6742\u7cfb\u7edf\u53ef\u4ee5\u5728\u4e0d\u540c\u7684\u7ec4\u7ec7\u5c42\u6b21\u4e0a\u5c55\u793a\u5177\u4f53\u7684\u89c4\u5219\uff0c\u56e0\u6b64\u5927\u5c3a\u5ea6\u7684\u6d3b\u52a8\u53ef\u80fd\u4e0d\u4ec5\u662f\u5176\u5404\u90e8\u5206\u7684\u603b\u548c<\/strong>\u3002Wilson\u2013Cowan\u6a21\u578b[15]\u548cJansen-Rit\u6a21\u578b[12]\u662f\u8fd9\u7c7b\u7ecf\u9a8c\u6a21\u578b\u7684\u5178\u578b\u4f8b\u5b50\u3002\u8fd8\u6709\u4e00\u4e9b\u6df7\u5408\u65b9\u6cd5\u5c06\u7fa4\u4f53\u52a8\u529b\u5b66\u7684\u7406\u8bba\u5904\u7406\u4e0e\u7ecf\u9a8c\u6027\u7684\u7a81\u89e6\u548c\u8f93\u5165-\u54cd\u5e94\u51fd\u6570\u7ed3\u5408\u8d77\u6765[16]\u3002<\/span><\/section>\n
           <\/span><\/section>\n

          \n

          <\/span><\/section>\n<\/h1>\n

          \n
          \n
          \n
          \n
          \n

          <\/section>\n

          <\/section>\n
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          <\/svg><\/section>\n<\/section>\n<\/section>\n
          \n

          \u4e8c\u3001\u5927\u5c3a\u5ea6\u8111\u52a8\u529b\u5b66<\/strong><\/strong><\/p>\n<\/section>\n

          \n

          <\/section>\n

          <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


          <\/p>\n

            \n
          1. \n

            \u795e\u7ecf\u7fa4\u4f53\u7684\u7f51\u7edc<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

            <\/section>\n
            \u795e\u7ecf\u7fa4\u4f53\u6a21\u578b<\/span>\uff08NMM\uff09<\/span>\u63cf\u8ff0\u4e86\u4e00\u4e2a\u5c40\u90e8\u7fa4\u4f53\u7684\u76f8\u4e92\u4f5c\u7528\u7684\u795e\u7ecf\u5143\uff0c\u5982\u9525\u4f53\u795e\u7ecf\u5143\u548c\u6291\u5236\u795e\u7ecf\u5143\u3002\u4f46\u5c40\u57df\u7fa4\u4f53\u548c\u652f\u6301\u5927\u8111\u529f\u80fd\u7684\u5927\u89c4\u6a21\u7cfb\u7edf\u4e4b\u95f4\u4ecd\u7136\u5b58\u5728\u51e0\u4e2a\u5c3a\u5ea6\u7684\u5dee\u8ddd\u3002\u901a\u8fc7\u5c06\u4e00\u7cfb\u5217NMM\u8026\u5408\u5230\u4ecb\u89c2\u548c\u5b8f\u89c2\u73af\u8def\uff0c\u53ef\u4ee5\u642d\u5efa\u8d77\u5927\u5c3a\u5ea6\u7684\u8111\u52a8\u529b\u5b66\u6a21\u578b[17]\u3002\u6bcf\u4e2a\u795e\u7ecf\u5143\u7fa4\u4f53\u8282\u70b9<\/span>\uff08\u5373\u6bcf\u4e2a NMM\uff09<\/span>\u5185\u7684\u52a8\u529b\u5b66\u53cd\u6620\u4e86\u5c40\u90e8\u7fa4\u4f53\u6d3b\u52a8\u52a0\u4e0a\u6765\u81ea\u8fdc\u7aef\u533a\u57df<\/span>\uff08\u5176\u4ed6\u8282\u70b9\uff09<\/span>\u548c\u968f\u673a\u6ce2\u52a8\u7684\u5f71\u54cd\u3002\u8fd9\u79cd\u5927\u89c4\u6a21\u7684\u8111\u7f51\u7edc\u6a21\u578b<\/strong><\/span>\uff08Brain Network Models, BNMs\uff09<\/span>\u662f\u4e00\u4e2a\u591a\u5c3a\u5ea6\u7684\u7cfb\u7efc\uff0c\u5728\u4e0d\u540c\u5c3a\u5ea6\u4e0a\u6709\u4e0d\u540c\u7684\u7ec4\u7ec7\u89c4\u5219\u3002<\/span><\/section>\n
             <\/span><\/section>\n
            \u5c06 NMM \u8026\u5408\u6210\u66f4\u5927\u7684\u7cfb\u7edf\u9700\u8981\u4f9d\u9760\u89e3\u5256\u8fde\u63a5\uff0c\u5373\u8fde\u63a5\u7ec4\u3002\u5728\u52a8\u7269\u6a21\u578b\u4e0a\uff0c\u4fb5\u5165\u5f0f\u7684\u7ea4\u7ef4\u8ffd\u8e2a\u6784\u5efa\u4e86\u7ec6\u81f4\u7684\u8fde\u63a5\u7ec4[18]\u3002\u5bf9\u4e8e\u4eba\u8111\uff0cDTI \u6210\u50cf<\/span>\uff08diffusion tensor imaging\uff0c \u4e00\u79cd\u7279\u6b8a\u7684\u6838\u78c1\u5171\u632f\u6210\u50cf\u6280\u672f\uff09<\/span>\u53ef\u4ee5\u63d0\u4f9b\u89e3\u5256\u8fde\u63a5\u3002\u7531\u6b64\u5f97\u5230\u7684\u5168\u8111\u52a8\u529b\u5b66\u6a21\u578b\u5728\u5c40\u90e8NMM\u3001\u8282\u70b9\u95f4\u7684\u4f20\u5bfc\u65f6\u5ef6\u3001\u6df7\u6c8c\u6216\u968f\u673a\u52a8\u529b\u5b66\u7684\u9009\u62e9\u4e0a\u5404\u6709\u4e0d\u540c[19]\u3002\u8fd9\u662f\u4e00\u4e2a\u5f3a\u6709\u529b\u7684\u65b9\u6cd5\uff0c\u5c06\u6570\u5341\u5e74\u6765\u6709\u5173 NMM \u7684\u5de5\u4f5c\u4e0e\u590d\u6742\u8111\u7f51\u7edc\u7684\u7814\u7a76\u7ed3\u5408\u8d77\u6765[20]\u3002\u8111\u7f51\u7edc\u6a21\u578b\u5728\u9759\u606f\u6001 fMRI \u6570\u636e\u4e2d\u7684\u5e94\u7528\u662f\u4e00\u4e2a\u975e\u5e38\u6d3b\u8dc3\u7684\u9886\u57df\uff0c\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u8fdb\u884c\u56de\u987e\u3002<\/span><\/section>\n
             <\/span><\/section>\n
              \n
            1. \n

              \u795e\u7ecf\u573a\u6a21\u578b<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

              <\/section>\n
              \u8111\u7f51\u7edc\u6a21\u578b\u5c06\u5927\u8111\u76ae\u5c42\u89c6\u4e3a\u901a\u8fc7\u8fde\u63a5\u4f53\u8026\u5408\u7684\u52a8\u6001\u8282\u70b9\u7ec4\u6210\u7684\u79bb\u6563\u7f51\u7edc\u3002\u4f46\u662f\u5728\u5b8f\u89c2\u5c3a\u5ea6\u4e0a\uff0c\u76ae\u5c42\u4e5f\u53ef\u4ee5\u88ab\u89c6\u4e3a\u4e00\u4e2a\u7531\u5bc6\u96c6\u7684\u77ed\u7a0b\u8fde\u63a5\u7ec4\u6210\u7684\u8fde\u7eed\u8584\u7247\uff0c\u8fd9\u4e9b\u77ed\u7a0b\u8fde\u63a5\u968f\u7740\u533a\u57df\u95f4\u8ddd\u8fc5\u901f<\/span>\uff08\u6307\u6570\uff09<\/span>\u51cf\u5c11\u3002\u5927\u5c3a\u5ea6\u795e\u7ecf\u6a21\u578b\u5c06\u5927\u8111\u76ae\u5c42\u89c6\u4e3a\u4e00\u4e2a\u8fde\u7eed\u7684\u7247\u72b6\u7ed3\u6784\u30fc\u30fc\u795e\u7ecf\u573a\u6a21\u578b<\/strong><\/span>\uff08Neural Field Models, NFMs\uff09<\/span>\u30fc\u30fc\u501f\u9274\u4e86\u5176\u4ed6\u590d\u6742\u7cfb\u7edf\u4e2d\u6210\u719f\u7684\u573a\u6a21\u578b\uff0c\u5e76\u5728\u8ba1\u7b97\u795e\u7ecf\u79d1\u5b66\u4e2d\u6709\u7740\u4e30\u5bcc\u7684\u5386\u53f2\u3002 <\/span><\/section>\n
               <\/span><\/section>\n
              \u795e\u7ecf\u573a\u6a21\u578b\u4e2d\uff0c\u6700\u4e00\u822c\u7684\u516c\u5f0f\u4f7f\u7528\u5fae\u5206\u65b9\u7a0b<\/span>\uff08\u7528\u4e8e\u5904\u7406\u65f6\u95f4\uff09<\/span>\u548c\u79ef\u5206<\/span>\uff08\u7528\u4e8e\u5904\u7406\u7a7a\u95f4\u8026\u5408\u548c\u65f6\u95f4\u5ef6\u8fdf\uff09<\/span>\u7684\u7ec4\u5408\u3002\u5bf9\u4e8e\u8003\u8651\u751f\u7269\u771f\u5b9e\u6027\u5047\u8bbe\u7684<\/span>\u7a81\u89e6\u6838<\/span>\uff08synaptic kernel, \u5c40\u57df\u8fde\u63a5\u7684\u5370\u8bb0\uff09<\/span>\uff0c\u53ef\u4ee5\u5c06\u5176\u5efa\u6a21\u4e3a\u6ce2\u52a8\u65b9\u7a0b[21]\u3002<\/span><\/section>\n
              <\/span><\/section>\n
               <\/span><\/section>\n
              \u795e\u7ecf\u573a\u6a21\u578b\u5bf9\u5f88\u591a\u95ee\u9898\u90fd\u63d0\u4f9b\u4e86\u89c1\u89e3\uff0c\u5e38\u7528\u6765\u89e3\u91ca\u6ce2\u5f62\u7684\u6570\u636e[22]\u3002\u5168\u8111\u795e\u7ecf\u7535\u573a\u6a21\u578b\u7684\u6fc0\u53d1\u6a21\u5f0f\u30fc\u30fc\u6355\u83b7\u7cfb\u7edf\u5927\u90e8\u5206\u80fd\u91cf\u7684\u5c11\u91cf\u65f6\u7a7a\u6a21\u5f0f\u30fc\u30fc\u4e0e\u5178\u578b\u7684\u9759\u606f\u6001\u7f51\u7edc\u663e\u793a\u51fa\u60ca\u4eba\u7684\u5339\u914d[23]\u3002 <\/span><\/section>\n
               <\/span><\/section>\n
              \u5c06\u8111\u7f51\u7edc\u6a21\u578b\u548c\u795e\u7ecf\u573a\u6a21\u578b\u6574\u5408\u5230\u4e00\u4e2a\u5355\u4e00\u7684\u6846\u67b6\u4e2d\u662f\u4e00\u4e2a\u6d3b\u8dc3\u7684\u7814\u7a76\u9886\u57df\uff0c\u65e8\u5728\u8c03\u548c\u8fd9\u4e9b\u5927\u89c4\u6a21\u8111\u6a21\u578b\u660e\u663e\u76f8\u4e92\u77db\u76fe\u7684\u65b9\u9762[24]\u3002<\/span><\/section>\n

              <\/span><\/section>\n
              <\/section>\n

              \u56fe2\uff1a\u5927\u5c3a\u5ea6\u8111\u52a8\u529b\u5b66\u6a21\u578b\u3002<\/span><\/p>\n

              (a) \u795e\u7ecf\u7fa4\u4f53\u6a21\u578b\uff08NMMs\uff09\u901a\u8fc7\u5bf9\u4e00\u4e2a\u5c40\u57df\u795e\u7ecf\u5143\u7fa4\u4f53\uff0c\u56fe\u4e2d\u7684\u4e00\u4e2a\u76ae\u5c42\u67f1\uff08\u5de6\uff09\u4e2d\u6bcf\u4e00\u7c7b\u795e\u7ecf\u5143\uff08\u9525\u4f53\uff0c\u6291\u5236\uff09\u7684\u5e73\u5747\u72b6\u6001\u7684\u5efa\u6a21\u6765\u63cf\u8ff0\u795e\u7ecf\u5143\u7fa4\u4f53\u884c\u4e3a\u3002\u4f20\u7edf\u7684\u8109\u51b2\u795e\u7ecf\u6a21\u578b\u5c06\u6bcf\u4e2a\u795e\u7ecf\u5143\u89c6\u4e3a\u4e00\u4e2a\u7406\u60f3\u5316\u7684\u5355\u5143\uff08\u4e2d\u5fc3\uff09\u3002NMMs \u66f4\u8fdb\u4e00\u6b65\uff0c\u5c06\u6574\u4e2a\u7fa4\u4f53\u7684\u52a8\u6001\u7b80\u5316\u5230\u4f4e\u7ef4\u5fae\u5206\u65b9\u7a0b\uff0c\u4ee3\u8868\u5c40\u90e8\u76f8\u4e92\u4f5c\u7528\u7684\u795e\u7ecf\u5143\u7fa4\u7684\u5e73\u5747\u72b6\u6001\uff08\u53f3\uff09\u3002\u7ec6\u80de\u9608\u503c\u7684\u53d8\u5316\uff08\u63d2\u56fe\uff0c\u53f3\u4e0a\u89d2\uff09\u5c06\u6bcf\u4e2a\u795e\u7ecf\u5143\u7684\u5168\u6709\u6216\u5168\u65e0\u52a8\u4f5c\u7535\u4f4d\u5e73\u6ed1\u6210\u4ecb\u4e8e\u5e73\u5747\u819c\u7535\u4f4d\u548c\u5e73\u5747\u53d1\u653e\u7387\u4e4b\u95f4\u7684\u5e73\u6ed1\u7684sigmoid\u51fd\u6570\u3002\u79ef\u5206\u8fd9\u4e2a\u65b9\u7a0b\u4ea7\u751f\u4e00\u4e2a\u5438\u5f15\u5b50\u7684\u5c40\u90e8\u52a8\u6001\uff08\u53f3\u4e0b\uff09\uff1b<\/span><\/p>\n

              (b) \u5927\u8111\u7f51\u7edc\u6a21\u578b\uff08BNMs\uff09\u662f\u5c06\u4e00\u7ec4NMMs\u8026\u5408\u5230\u4e00\u4e2a\u5927\u5c3a\u5ea6\u7cfb\u7edf\uff08\u4e0a\uff09 \uff0c\u901a\u8fc7\u8fde\u63a5\u7ec4\u8fdb\u884c\u8fde\u63a5\u3002\u7531\u4e8e\u5f3a\u5927\u7684\u77ed\u7a0b\u8fde\u63a5\uff0cBNMs \u53ef\u4ee5\u4ea7\u751f\u6ce2\u6a21\u5f0f\uff08\u5e95\u90e8\uff09\u3002\u8fd9\u4e2a\u4f8b\u5b50\u5c55\u793a\u4e86\u4e00\u4e2a\u6cbf\u5bf9\u89d2\u7ebf\u65b9\u5411\u5411\u53f3\u79fb\u52a8\u7684\u6ce2\u3002<\/span><\/p>\n

              (c) \u5728\u795e\u7ecf\u573a\u6a21\u578b\uff08NFM\uff09\u4e2d\uff0c\u76ae\u5c42\u88ab\u770b\u4f5c\u662f\u4e00\u4e2a\u5e73\u6ed1\u7684\u5e73\u9762\uff08\u9876\u90e8\uff09\uff0c\u652f\u6301\u6ce2\u52a8\u7684\u4f20\u64ad\uff08\u9876\u90e8\u63d2\u56fe\uff09\u3002\u5305\u542b\u4e18\u8111\u795e\u7ecf\u7fa4\u4f53\u7684\u795e\u7ecf\u573a\u6a21\u578b\uff08\u4e0b\u56fe\u63d2\u56fe\uff09\u4ea7\u751f \u03b1 \u632f\u8361\uff0c\u5176\u5149\u8c31\u7279\u6027\u4e0e\u7ecf\u9a8c\u6570\u636e\u4e2d\u89c2\u5bdf\u5230\u7684\u76f8\u540c\uff08\u4e0b\u56fe\uff09[25]\u3002<\/span><\/p>\n


              <\/section>\n
               <\/span><\/section>\n

              \n
              \n
              \n
              \n
              \n

              <\/section>\n

              <\/section>\n
              \n
              <\/svg><\/section>\n<\/section>\n<\/section>\n
              \n

              \u4e09\u3001\u5927\u5c3a\u5ea6\u795e\u7ecf\u6a21\u578b\u4e2d\u7684\u65b0\u5174\u8bfe\u9898<\/strong><\/strong><\/p>\n<\/section>\n

              \n

              <\/section>\n

              <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


              <\/p>\n

                \n
              1. \n

                \u68c0\u9a8c\u3001\u6bd4\u8f83\u4e0e\u9a73\u65a5\u6a21\u578b<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

                <\/section>\n
                \u5bf9\u5927\u5c3a\u5ea6\u795e\u7ecf\u6d3b\u52a8\u6a21\u578b\u7684\u63a8\u65ad\u4f9d\u8d56\u4e8e\u6709\u6548\u7684\u89c2\u6d4b\u6a21\u578b\u3002\u795e\u7ecf\u6a21\u578b\u9884\u6d4b\u6f5c\u5728\u7684\u795e\u7ecf\u72b6\u6001<\/span>\uff08\u53d1\u653e\u7387\u3001\u819c\u7535\u4f4d\u7b49\uff09<\/span>\uff0c\u8fd9\u4e9b\u72b6\u6001\u5e76\u4e0d\u76f4\u63a5\u53ef\u6d4b\u3002\u751f\u6210EEG\u6a21\u62df\u6570\u636e\u9700\u8981\u751f\u7269\u7535\u78c1\u6a21\u578b\uff0c\u800c\u751f\u6210fMRI\u6a21\u62df\u6570\u636e\u9700\u8981\u8840\u6d41\u52a8\u529b\u5b66\u6a21\u578b\u3002\u901a\u8fc7\u5404\u81ea\u7684\u524d\u9988\u6a21\u578b\u5b9e\u73b0\u591a\u79cd\u6570\u636e\u6d41\u7684\u9884\u6d4b\uff0c\u8fd9\u79cd\u65b9\u6cd5\u4e5f\u5141\u8bb8\u591a\u6a21\u6001\u6570\u636e\u7684\u878d\u5408\uff0c\u5982\u540c\u65f6\u83b7\u5f97\u7684 EEG \u548c fMRI [6]\u3002<\/span><\/section>\n
                 <\/span><\/section>\n
                \u6a21\u578b\u7684\u5177\u4f53\u9884\u6d4b\u8fd8\u53d6\u51b3\u4e8e\u5176\u53c2\u6570\u7684\u9009\u62e9\uff1a\u589e\u76ca\u3001\u8f93\u5165\u3001\u8026\u5408\u5f3a\u5ea6\u548c\u566a\u58f0\u7b49\u3002\u624b\u5de5\u8fdb\u884c\u5fae\u8c03\u901a\u5e38\u662f\u4e0d\u5207\u5b9e\u9645\u7684\uff0c\u800c\u4e14\u5bb9\u6613\u9020\u6210\u8fc7\u5ea6\u62df\u5408; \u4e5f\u5c31\u662f\u8bf4\uff0c\u5f97\u5230\u53ef\u8fc1\u79fb\u6027\u5f88\u5dee\u7684\u590d\u6742\u53c2\u6570\u7ec4\u5408\u3002\u4ece\u6280\u672f\u4e0a\u8bb2\uff0c\u6a21\u578b\u9884\u6d4b\u53d6\u51b3\u4e8e\u53c2\u6570\u7684\u9009\u62e9\u3002\u53ef\u4ee5\u5728\u8d1d\u53f6\u65af\u6846\u67b6\u5185\u96c6\u6210\u8fd9\u79cd\u4f9d\u8d56\u5173\u7cfb\uff0c\u8be5\u6846\u67b6\u5141\u8bb8\u5728\u7ed9\u5b9a\u6a21\u578b\u53c2\u6570\u503c\u7684\u53ef\u80fd<\/span>\uff08\u5148\u9a8c\uff09<\/span>\u5206\u5e03\u7684\u60c5\u51b5\u4e0b\u4f30\u8ba1\u6a21\u578b\u9884\u6d4b\u7684\u6982\u7387\u3002\u901a\u8fc7\u5f15\u5165\u60e9\u7f5a\u6a21\u578b\u590d\u6742\u6027\u7684\u672f\u8bed\uff0c\u53ef\u4ee5\u901a\u8fc7\u53cd\u6f14\u4f30\u8ba1\u7279\u5b9a\u6a21\u578b\u7684\u4f3c\u7136\u51fd\u6570\u3002\u4e0d\u540c\u7684\u6a21\u578b\uff0c\u5305\u542b\u4e86\u5173\u4e8e\u5927\u8111\u7684\u4e0d\u540c\u5047\u8bbe\uff0c\u53ef\u4ee5\u6839\u636e\u5b83\u4eec\u7684\u4f3c\u7136\u51fd\u6570\u8fdb\u884c\u6bd4\u8f83\u548c\u6392\u5e8f\u3002<\/span><\/section>\n
                 <\/span><\/section>\n
                \u8fd9\u79cd\u8d1d\u53f6\u65af\u65b9\u6cd5\u73b0\u5728\u5df2\u7ecf\u5728\u52a8\u6001\u56e0\u679c\u6a21\u578b\u7684\u6846\u67b6\u5185\u4e3a\u8111\u78c1\u56fe\u3001\u8111\u7535\u56fe\u548c\u529f\u80fd\u78c1\u5171\u632f\u6210\u50cf\u6570\u636e\u5efa\u7acb\u4e86\u826f\u597d\u7684\u57fa\u7840[26, 27]\u3002\u867d\u7136\u52a8\u6001\u56e0\u679c\u5efa\u6a21\u4f9d\u8d56\u4e8e\u4e0a\u8ff0\u7684\u5e73\u5747\u573a\u5047\u8bbe\uff0c\u5b83\u5df2\u7ecf\u88ab\u6700\u5e7f\u6cdb\u5730\u5e94\u7528\u4e8e\u7b80\u5355\u7684\u3001\u7ebf\u6027\u7a33\u5b9a\u7684 NMMs\u3002\u7cfb\u7edf\u4f30\u8ba1\u7684\u6700\u65b0\u8fdb\u5c55\u4fc3\u8fdb\u4e86\u5b83\u5728\u8bf8\u5982\u5206\u5c94\u548c\u591a\u7a33\u5b9a\u7b49\u975e\u7ebf\u6027\u73b0\u8c61\u4e2d\u7684\u5e94\u7528\u3002<\/span><\/section>\n

                <\/span><\/section>\n
                <\/section>\n

                \u56fe3\uff1aNMMs\u548cNFMs\u7684\u7ecf\u9a8c\u9a8c\u8bc1\u7684\u6280\u672f\u4e0e\u6982\u5ff5\u6846\u67b6\u3002<\/span><\/p>\n

                (a) \u5927\u5c3a\u5ea6\u52a8\u529b\u5b66\u6a21\u578b\u662f\u4ece\u8be6\u7ec6\u7684\u795e\u7ecf\u751f\u7406\u5b66\u62bd\u8c61\u51fa\u6765\u7684\u3002\u6570\u5b66\u5206\u6790\u548c\u6570\u503c\u6a21\u62df\u7684\u7ed3\u5408\u53ef\u4ee5\u7528\u6765\u7406\u89e3\u8fd9\u4e9b\u6a21\u578b\u6240\u652f\u6301\u7684\u6d8c\u73b0\u52a8\u529b\u5b66\u3002\u8fd9\u4e00\u6b65\u9aa4\u53ef\u4ee5\u901a\u8fc7\u786e\u4fdd\u795e\u7ecf\u751f\u7406\u5b66\u53c2\u6570\u88ab\u9650\u5236\u5728\u73b0\u5b9e\u503c\u8303\u56f4\u5185\u6765\u7ea6\u675f\u3002\u7136\u540e\u9700\u8981\u4e00\u4e2a\u524d\u9988\u6a21\u578b\uff08\u751f\u7269\u78c1\u6027\u6216\u8840\u6db2\u52a8\u529b\u5b66; \u540e\u8005\u4e3e\u4f8b\u8bf4\u660e\uff09\u4ece\u8fd9\u4e9b\u6a21\u578b\u4e2d\u9884\u6d4b\u7ecf\u9a8c\u6570\u636e\u3002(b) \u5229\u7528\u8111\u6210\u50cf\u6280\u672f\u8fdb\u884c\u7684\u7ecf\u9a8c\u6027\u5b9e\u9a8c\u4ea7\u751f\u4e86\u4e00\u7cfb\u5217\u7a7a\u95f4\u548c\u65f6\u95f4\u5206\u8fa8\u7387\u7684\u7ecf\u9a8c\u6570\u636e\u3002\u53ef\u4ee5\u540c\u65f6\u83b7\u5f97\u9ad8\u8d28\u91cf\u7684\u529f\u80fd\u78c1\u5171\u632f\u6210\u50cf\u548c\u8111\u7535\u56fe\u4ee5\u68c0\u9a8c\u6a21\u578b\u9884\u6d4b\u3002\u4ece\u795e\u7ecf\u6a21\u578b\u5230\u7ecf\u9a8c\u6570\u636e\u76f8\u5f53\u4e8e\u6a21\u578b\u9884\u6d4b\u3002\u5229\u7528\u53d8\u5206\u683c\u5f0f\u548c\u9002\u5f53\u7684\u6a21\u578b\u590d\u6742\u5ea6\u60e9\u7f5a\uff0c\u9884\u6d4b\u548c\u89c2\u6d4b\u4e4b\u95f4\u7684\u4e0d\u5339\u914d\u53ef\u7528\u4e8e\u6a21\u578b\u53cd\u6f14\u548c\u6bd4\u8f83[28]\u3002<\/span><\/p>\n

                 <\/span><\/section>\n
                  \n
                1. \n

                  \u5168\u8111\u52a8\u529b\u5b66<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

                  <\/section>\n
                  \u5927\u5c3a\u5ea6\u6a21\u578b\u76ee\u524d\u6700\u6d3b\u8dc3\u7684\u7528\u9014\u662f\u4e3a\u5927\u5c3a\u5ea6\u8111\u6210\u50cf\u6570\u636e\u7684\u52a8\u6001\u53d8\u5316\u63d0\u4f9b\u5019\u9009\u673a\u5236[29]\u3002\u8fd9\u4e9b\u673a\u5236\u7684\u4e0d\u540c\u53d6\u51b3\u4e8e\u6240\u5206\u6790\u6570\u636e\u7684\u6027\u8d28<\/span>\uff08\u8111\u7535\u56fe\u3001\u8111\u78c1\u56fe\u6216\u529f\u80fd\u78c1\u5171\u632f\u6210\u50cf\uff09<\/span>\u548c\u6240\u4f7f\u7528\u6a21\u578b\u7684\u7ec6\u8282\u3002\u5927\u591a\u6570\u6a21\u578b\u90fd\u4f1a\u5f15\u53d1\u67d0\u79cd\u5f62\u5f0f\u7684\u4e0d\u7a33\u5b9a\u6027\uff0c\u5982\u591a\u7a33\u6001[30]\u3001\u4e9a\u7a33\u6001\u7684\u6df7\u6c8c\u5438\u5f15\u5b50[31]\u548c\u6781\u9650\u73af[32]\u3001\u5e7d\u7075\u5438\u5f15\u5b50<\/span>\uff08ghost attractor\uff09<\/span>[33]\u7b49\u3002<\/span><\/section>\n
                   <\/span><\/section>\n
                  \u8111\u7535\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7684\u5386\u53f2\u4e5f\u4e3a\u8fd9\u79cd\u52aa\u529b\u63d0\u4f9b\u4e86\u8b66\u793a\u3002\u9996\u5148\uff0c\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u4e2d\u7684\u7ebf\u6027\u76f8\u5173\u6027\u4f1a\u5728\u65f6\u95f4\u7a97\u53e3\u7edf\u8ba1\u4e2d\u5f15\u8d77<\/span>\uff08\u865a\u5047\u7684\uff09<\/span>\u6ce2\u52a8\uff0c\u5173\u4e8e\u65f6\u95f4\u5206\u8fa8\u7684\u529f\u80fd\u8fde\u901a\u6027\u7684\u63a8\u8bba\u5e94\u8be5\u5efa\u7acb\u5728\u9002\u5f53\u5730\u4f7f\u7528\u96f6\u5047\u8bbe\u68c0\u9a8c\u7684\u57fa\u7840\u4e0a[34]\u3002\u5176\u6b21\uff0c\u201c\u52a8\u6001\u7684\u201d\u8fd9\u4e2a\u672f\u8bed\u5e94\u8be5\u6307\u7684\u662f\u4ea7\u751f\u6570\u636e\u7684\u795e\u7ecf\u5143\u8fc7\u7a0b\u800c\u4e0d\u662f\u89c2\u5bdf\u5230\u7684\u6570\u636e\u672c\u8eab: \u5c06\u529f\u80fd\u8fde\u63a5\u4e2d\u7684\u975e\u5e73\u51e1\u7684\u6ce2\u52a8\u79f0\u4e3a\u201c\u65f6\u95f4\u5206\u8fa8\u7684\u201d\u6216\u201c\u975e\u5e73\u7a33\u7684\u201d\u800c\u4e0d\u662f\u201c\u52a8\u6001\u7684\u201d\u529f\u80fd\u8fde\u63a5\u66f4\u6709\u539f\u5219\u6027\u3002\u5173\u4e8e\u751f\u6210\u6570\u636e\u7684\u52a8\u6001\u8fc7\u7a0b\u7684\u63a8\u65ad\uff0c\u7406\u60f3\u60c5\u51b5\u4e0b\u5e94\u8be5\u53c2\u8003\u901a\u8fc7\u6a21\u578b\u53cd\u8f6c\u6062\u590d\u7684\u6a21\u578b[26]\u3002\u7b2c\u4e09\uff0c\u5982\u4e0a\u6240\u8ff0\uff0c\u8bb8\u591a\u52a8\u6001\u4e0d\u7a33\u5b9a\u673a\u5236\u88ab\u7528\u6765\u89e3\u91ca\u8fd9\u4e9b\u975e\u5e73\u7a33\u6027\uff0c\u591a\u7a33\u6001\u53ea\u662f\u80fd\u591f\u4ea7\u751f\u590d\u6742\u52a8\u529b\u5b66\u7684\u8bb8\u591a\u52a8\u6001\u573a\u666f\u4e4b\u4e00\u3002\u4e34\u754c\u6027\u51fa\u73b0\u5728\u5206\u5c94\u7684\u5c16\u7aef\uff0c\u4ea7\u751f\u91cd\u5c3e\u6ce2\u52a8<\/span>\uff08\u5e42\u5f8b\uff09 <\/span>\uff0c\u662f\u53e6\u4e00\u4e2ars-fMRI\u6570\u636e\u7684\u6ce2\u52a8\u76f8\u5173\u7684\u5019\u9009\u8fc7\u7a0b[35]\uff0c \u4e9a\u7a33\u6001\u662f\u6307\u7cfb\u7edf\u6ca1\u6709\u7a33\u5b9a\u7684\u5438\u5f15\u5b50\uff0c\u800c\u662f\u5305\u542b\u4e00\u7cfb\u5217\u4e0d\u7a33\u5b9a\u7684\u978d\u70b9\uff0c\u540c\u6837\u5728\u8003\u8651\u8303\u56f4[36]\u3002\u867d\u7136\u8fd9\u4e9b\u672f\u8bed\u7ecf\u5e38\u53ef\u4ee5\u4e92\u6362\u4f7f\u7528\uff0c\u4f46\u6bcf\u4e2a\u672f\u8bed\u90fd\u6765\u81ea\u4e0d\u540c\u7684\u673a\u5236\uff0c\u6709\u72ec\u7279\u7684\u7cfb\u7efc\u7edf\u8ba1\u91cf\uff0c\u5e94\u6ce8\u610f\u4ed4\u7ec6\u91cf\u5316\u5927\u5c3a\u5ea6\u8111\u6d3b\u52a8\u7684\u7edf\u8ba1\u6570\u636e\uff0c\u4ee5\u4fbf\u533a\u5206\u8fd9\u4e9b\u673a\u5236[37]\u3002<\/span><\/section>\n
                   <\/span><\/section>\n
                    \n
                  1. \n

                    \u4e34\u5e8a\u5e94\u7528<\/span><\/strong><\/span><\/h2>\n<\/li>\n<\/ol>\n

                    <\/section>\n
                    \u52a8\u6001\u60c5\u666f\u7684\u5e7f\u5ea6\u4e3a\u52a8\u6001\u8111\u6a21\u578b\u7684\u4e34\u5e8a\u5e94\u7528\u63d0\u4f9b\u4e86\u5de8\u5927\u7684\u673a\u4f1a\u3002\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u766b\u75eb\u53d1\u4f5c<\/strong>\u662f\u5982\u4f55\u5728NFMs\u548cNMMs\u4e2d\u88ab\u6a21\u62df\u4e3a\u5206\u53c9\u7684\u3002\u6700\u8fd1\u7684\u6a21\u578b\u5305\u62ec\u53d1\u4f5c\u524d\u7684\u4f4e\u9891\u795e\u7ecf\u751f\u7406\u8fc7\u7a0b<\/span>\uff08\u6f02\u79fb\uff09<\/span> \uff0c\u63d0\u4f9b\u4e86\u5feb\u901f\u53d1\u4f5c\u52a8\u529b\u5b66\u548c\u7f13\u6162\u4ee3\u8c22\u8fc7\u7a0b\u4e4b\u95f4\u7684\u5173\u7cfb\u7684\u6d1e\u5bdf\u529b[38]\u3002\u8fd9\u79cd\u89c1\u89e3\u4e3a\u6cbb\u7597\u5e72\u9884\u63d0\u4f9b\u4e86\u673a\u4f1a\uff0c\u5305\u62ec\u5229\u7528\u95ed\u73af\u53cd\u9988\u63a7\u5236\u766b\u75eb\u53d1\u4f5c\uff0c\u4ee5\u51cf\u5c11\u4e0e\u5065\u5eb7\u7684\u9759\u606f\u72b6\u6001\u5438\u5f15\u5b50\u4e4b\u95f4\u7684\u533a\u522b\u3002<\/span><\/section>\n
                     <\/span><\/section>\n
                    \u5728\u4e34\u5e8a\u795e\u7ecf\u751f\u7406\u5b66\u6570\u636e\u4e2d\u5e94\u7528 NMMs \u548c NFMs \u4ee3\u8868\u4e86\u4e00\u4e2a\u4e30\u5bcc\u7684\u9886\u57df\uff0c\u5728\u8bb8\u591a\u5176\u4ed6\u795e\u7ecf\u7cfb\u7edf\u75be\u75c5\uff0c\u4ece\u5e15\u91d1\u68ee\u6c0f\u75c7\u5230\u75f4\u5446\u75c7<\/strong>\u7b49\u65b9\u9762\u7684\u5e94\u7528\u6b63\u5728\u5174\u8d77\u3002\u5728\u52a8\u6001\u56e0\u679c\u5efa\u6a21\u7684\u6846\u67b6\u5185\uff0c\u7f51\u7edc\u4e2d\u7684\u6270\u52a8\u52a8\u6001\u4e5f\u88ab\u62a5\u9053\u5728\u7cbe\u795e\u75c5\u6761\u4ef6\u4e0b\uff0c\u5c06\u7cbe\u795e\u5206\u88c2\u75c7<\/strong>\u5b9a\u4f4d\u4e3a\u201c\u8054\u7cfb\u969c\u788d\u201d\u7efc\u5408\u75c7\u662f\u8fd9\u79cd\u65b9\u6cd5\u7684\u4e00\u4e2a\u81ea\u7136\u76ee\u6807[39]\u3002\u7cbe\u795e\u5206\u88c2\u75c7\u4e2d\u76ae\u8d28\u548c\u989d\u4e18\u8111\u7cfb\u7edf\u7684\u52a8\u6001\u8fde\u63a5\u969c\u788d\u5df2\u88ab\u62a5\u9053[40]\u3002\u91cd\u5ea6\u6291\u90c1\u75c7<\/strong>\u60a3\u8005\u7684\u5fe7\u90c1\u75c7\u7279\u5f81\u8868\u73b0\u4e3a\u5173\u952e\u7684\u6ce8\u610f\u529b\u7f51\u7edc\u548c\u5185\u611f\u7f51\u7edc\u4e4b\u95f4\u7684\u52a8\u6001\u5931\u8c03[41]\u3002\u4ee5\u52a8\u6001\u673a\u5236\u4e3a\u57fa\u7840\u7684\u75be\u75c5\u5206\u7c7b\u5b66\u5728\u8fd9\u4e2a\u6b63\u5728\u5bfb\u627e\u6bd4\u75c7\u72b6\u7fa4\u66f4\u6709\u539f\u5219\u7684\u65b9\u6cd5\u7684\u9886\u57df\u5177\u6709\u76f8\u5f53\u5927\u7684\u6982\u5ff5\u5438\u5f15\u529b[42]\u3002  <\/span><\/section>\n
                     <\/span><\/section>\n
                    \u9664\u4e86\u5bf9\u6210\u50cf\u6570\u636e\u7684\u52a8\u6001\u6a21\u578b\u8fdb\u884c\u53cd\u6f14\u4e4b\u5916\uff0c\u5927\u5c3a\u5ea6\u795e\u7ecf\u6a21\u578b\u53ef\u80fd\u5728\u8ba1\u7b97\u7cbe\u795e\u75c5\u5b66\u4e2d\u53d1\u6325\u53e6\u4e00\u79cd\u4f5c\u7528[42]\u3002\u5305\u542b\u5747\u503c\u548c\u65b9\u5dee<\/span>\uff08\u5373Fokker\u2013Planck\u65b9\u7a0b\uff09<\/span>\u7684\u7fa4\u4f53\u6a21\u578b\u53ef\u4ee5\u89e3\u91ca\u5927\u8111\u76ae\u5c42\u5982\u4f55<\/span>\uff08\u901a\u8fc7\u5176\u5747\u503c\uff09<\/span>\u5bf9\u5176\u8868\u5f81\u503c\u8fdb\u884c\u7f16\u7801\uff0c\u4ee5\u53ca<\/span>\uff08\u901a\u8fc7\u72b6\u6001\u65b9\u5dee\uff09<\/span>\u8fd9\u4e9b\u8868\u5f81\u7684\u7cbe\u786e\u6027\u3002\u901a\u8fc7\u4e0e\u7cbe\u786e\u52a0\u6743\u7f16\u7801\u7684\u94fe\u63a5\uff0cFokker\u2013Planck\u65b9\u7a0b\u4ee3\u8868\u4e86\u795e\u7ecf\u6d3b\u52a8\u7684\u751f\u7269\u7269\u7406\u6a21\u578b\u548c\u8ba4\u77e5\u529f\u80fd\u7684\u8d1d\u53f6\u65af\u89e3\u91ca\u4e4b\u95f4\u7684\u5019\u9009\u94fe\u63a5[43]\u3002\u975e\u7ebf\u6027\u7cfb\u7edf\u7406\u8bba\u589e\u52a0\u4e86\u5bf9\u5927\u8111\u5927\u5c3a\u5ea6\u7cfb\u7edf\u4e4b\u95f4\u52a8\u6001\u76f8\u4e92\u4f5c\u7528\u7684\u89c1\u89e3[44]\u3002<\/span><\/section>\n

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                    \u56fe4\uff1a\u795e\u7ecf\u573a\u6a21\u578b\u5e94\u7528\u4e8e\u766b\u75eb\u7814\u7a76\u3002<\/span><\/p>\n

                    (a) \u4eba\u7c7b\u5934\u76ae\u8111\u7535\u56fe\u8bb0\u5f55\u663e\u793a\u7279\u5f81\u6027\u76843 Hz\u5931\u795e\u53d1\u4f5c\u3002\u58f0\u8c31\u56fe\u663e\u793a\u4e86\u57fa\u98913 Hz\u4ee5\u53ca\u9ad8\u6b21\u8c10\u6ce2\uff0c\u53cd\u6620\u4e86\u975e\u7ebf\u6027\u65f6\u95f4\u5e8f\u5217\u7684\u7279\u6027\u3002\u76f8\u7a7a\u95f4\u91cd\u6784\uff08\u53f3\uff09\u663e\u793a\u8f68\u9053\u4ece\u4e0d\u52a8\u70b9\uff08\u56fa\u5b9a\u70b9\uff0c\u84dd\u8272\u7bad\u5934\uff09\u5438\u5f15\u5b50\u5230\u9ad8\u632f\u5e45\u590d\u6742\u6781\u9650\u73af\uff08\u7ea2\u8272\u7bad\u5934\uff09\u7684\u5feb\u901f\u53d1\u6563\u3002(b) \u5de6\u4fa7\uff0c\u901a\u8fc73 Hz \u970d\u666e\u592b\u5206\u5c94\u6444\u52a8\u7684\u76ae\u8d28\u4e18\u8111\u795e\u7ecf\u573a\u6a21\u578b\u4e0e a \uff08\u4e2d\u95f4\uff09\u7684\u7ecf\u9a8c\u6570\u636e\u663e\u793a\u60ca\u4eba\u7684\u5339\u914d\uff0c\u5305\u62ec\u6574\u4f53\u5bf9\u79f0\u7684\u766b\u75eb\u53d1\u4f5c\u5f62\u6001\uff0c\u8d77\u59cb\u548c\u504f\u79fb\u65f6\u7684\u5c16\u5cf0\u548c\u6ce2\u5f62\uff0c\u4ee5\u53ca\u6ce2\u8c31\u56fe\u3002\u53f3\u4fa7\uff0c\u766b\u75eb\u53d1\u4f5c\u7684\u5f00\u59cb\u8868\u73b0\u4e3a\u901a\u8fc7\u5206\u5c94\u5c06\u975e\u7ebf\u6027\u4e0d\u7a33\u5b9a\u6027\u5f15\u5165\u795e\u7ecf\u6a21\u578b\u540e\uff0c\u8f68\u9053\u4ece\u4e0d\u52a8\u70b9\uff08\u84dd\u8272\u7bad\u5934\uff09\u5230\u6781\u9650\u73af\uff08\u7ea2\u8272\u7bad\u5934\uff09\u7684\u53d1\u6563[25]\u3002<\/span><\/p>\n

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                    \u56db\u3001\u5927\u5c3a\u5ea6\u795e\u7ecf\u7cfb\u7edf\u6a21\u578b\u7684\u524d\u6cbf<\/strong><\/strong><\/p>\n<\/section>\n

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                    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


                    <\/p>\n

                    \u5927\u5c3a\u5ea6\u795e\u7ecf\u52a8\u529b\u5b66\u6a21\u578b\u5728\u89e3\u91ca\u3001\u9884\u6d4b\u548c\u6574\u5408\u5b8f\u89c2\u7684\u611f\u77e5\u3001\u884c\u4e3a\u548c\u529f\u80fd\u6210\u50cf\u6570\u636e\u7684\u795e\u7ecf\u6d3b\u52a8\u65b9\u9762\u662f\u72ec\u4e00\u65e0\u4e8c\u7684\u3002\u8fd9\u4e9b\u6a21\u578b\u7684\u6982\u5ff5\u57fa\u7840\u8d8a\u6765\u8d8a\u591a\u5730\u5f97\u5230\u7ecf\u9a8c\u6570\u636e\u5206\u6790\u7684\u652f\u6301\u3002\u901a\u8fc7\u5c06\u4e0d\u540c\u7684\u7ecf\u9a8c\u53d1\u73b0\u6574\u5408\u5230\u4e00\u4e2a\u53ef\u4ee5\u53cd\u590d\u7cbe\u70bc<\/span>\uff08\u6216\u8005\u9a73\u65a5\uff09<\/span>\u7684\u7edf\u4e00\u6846\u67b6\u4e2d\uff0c\u52a8\u529b\u5b66\u6a21\u578b\u4e5f\u53ef\u4ee5\u5e2e\u52a9\u89e3\u51b3\u795e\u7ecf\u79d1\u5b66\u4e2d\u7684\u201c\u518d\u73b0\u6027\u5371\u673a\u201d\u3002\u8fd9\u4e9b\u8bba\u70b9\u8868\u660e\uff0c\u5927\u5c3a\u5ea6\u8111\u6d3b\u52a8\u6a21\u578b\u5728\u7406\u89e3\u5065\u5eb7\u548c\u75be\u75c5\u7684\u529f\u80fd\u6210\u50cf\u6570\u636e\u7684\u795e\u7ecf\u8d77\u6e90<\/span>\uff08\u5982\u632f\u8361\u548c\u7f51\u7edc\u52a8\u529b\u5b66\uff09<\/span>\u65b9\u9762\u7684\u4f5c\u7528\u65e5\u76ca\u91cd\u8981\u3002<\/span><\/section>\n
                     <\/span><\/section>\n
                    \u5927\u8111\u52a8\u529b\u5b66\u6a21\u578b\u7684\u8fdb\u4e00\u6b65\u53d1\u5c55\u53ef\u80fd\u6b63\u597d\u51fa\u73b0\u5728\u4ed6\u4eec\u76ee\u524d\u6240\u4f9d\u8d56\u7684\u5047\u8bbe\u88ab\u6253\u7834\u7684\u5730\u65b9\u3002\u6211\u4eec\u52fe\u52d2\u51fa\u5141\u8bb8\u795e\u7ecf\u5143\u52a8\u529b\u5b66\u7684\u5e73\u5747\u573a\u8fd1\u4f3c\u7684\u4e24\u4e2a\u76f8\u53cd\u7684\u60c5\u666f: \u5f53\u7cfb\u7edf\u89c4\u6a21\u7684\u76f8\u5173\u6027\u8db3\u591f\u5f31\uff0c\u4e2a\u522b\u52a8\u4f5c\u7535\u4f4d\u53ef\u4ee5\u5ffd\u7565<\/span>\uff08\u5f97\u5230Fokker\u2013Planck\u65b9\u7a0b\uff09<\/span> \uff0c\u53cd\u4e4b\uff0c\u5f53\u76f8\u5173\u6027\u8db3\u591f\u5f3a\uff0c\u65b9\u5dee\u53ef\u4ee5\u88ab\u8ba4\u4e3a\u662f\u5c0f\u7684\u5e38\u6570<\/span>\uff08\u5f97\u5230\u7535\u5bfc\u4e3a\u57fa\u7840\u7684 NMMs\uff09<\/span>\u3002\u6765\u81ea\u5404\u79cd\u795e\u7ecf\u5143\u8bb0\u5f55\u7684\u4e00\u81f4\u7684\u8bc1\u636e\u8868\u660e\uff0c\u8bb8\u591a\u795e\u7ecf\u5143\u7fa4\u4f53\u7684\u7edf\u8ba1\u6570\u636e\u53ef\u80fd\u662f\u65e0\u6807\u5ea6\u7684[45]\u3002\u8fd9\u6837\u7684\u7cfb\u7edf\u62d2\u7edd\u5e73\u5747\u573a\u7b80\u5316<\/span>\uff08\u56e0\u4e3a\u65b9\u5dee\u662f\u65e0\u754c\u7684\uff09<\/span> \uff0c\u5e76\u4e14\u53ef\u80fd\u9700\u8981\u5907\u9009\u7684\u7cfb\u7efc\u6a21\u578b[46]\u3002\u672a\u6765\u7684\u5927\u89c4\u6a21\u5927\u8111\u6d3b\u52a8\u6a21\u578b\u53ef\u80fd\u9700\u8981\u7075\u6d3b\u6027\uff0c\u4ee5\u9002\u5e94\u6240\u6709\u4e09\u79cd\u60c5\u51b5\uff1a\u5f31\u76f8\u5173\u6027\u3001\u5f3a\u76f8\u5173\u6027\u548c\u4ecb\u4e8e\u8fd9\u4e9b\u6781\u7aef\u60c5\u51b5\u4e4b\u95f4\u7684\u65e0\u6807\u5ea6\u6ce2\u52a8\u3002    <\/span><\/section>\n
                     <\/span><\/section>\n
                    \u4e00\u4e2a\u5927\u80c6\u7684\u9884\u6d4b\u662f\uff0c\u795e\u7ecf\u79d1\u5b66\u6700\u7ec8\u5c06\u7531\u4e00\u4e2a\u7efc\u5408\u7684\u975e\u7ebf\u6027\u6a21\u578b\u6765\u951a\u5b9a\uff0c\u8be5\u6a21\u578b\u5c06\u8ba4\u77e5\u548c\u6210\u50cf\u6570\u636e\u878d\u5408\u5728\u4e00\u4e2a\u6846\u67b6\u4e2d[10]\u3002\u56e0\u6b64\uff0c\u7814\u7a76\u5c06\u5728\u5305\u62ec\u53d7\u8fc7\u5fc5\u8981\u7684\u6570\u5b66\u548c\u7269\u7406\u57f9\u8bad\u7684\u79d1\u5b66\u5bb6\u5728\u5185\u7684\u591a\u5b66\u79d1\u5c0f\u7ec4\u4e2d\u8fdb\u884c\u3002\u8981\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\u8fd8\u6709\u5f88\u957f\u7684\u8def\u8981\u8d70\uff0c\u5305\u62ec\u66f4\u6df1\u5165\u5730\u7406\u89e3\u590d\u6742\u7cfb\u7edf\u4e2d\u96c6\u4f53\u884c\u4e3a\u7684\u6da8\u843d\u3002\u5904\u4e8e\u52a8\u6001\u6a21\u578b\u4e2d\u5fc3\u7684\u7ef4\u5ea6\u7b80\u5316\u662f\u4e00\u4e2a\u65b9\u4fbf\u7684\u4f46\u662f\u73b0\u8c61\u5b66\u7684\u5de5\u5177\uff0c\u8fd8\u662f\u4e00\u4e2a\u88ab\u5927\u8111\u7528\u6765\u4fc3\u8fdb\u5176\u9002\u5e94\u52a8\u6001\u73af\u5883\u7684\u6838\u5fc3\u8fc7\u7a0b\uff0c\u8fd9\u4ecd\u7136\u6709\u5f85\u89c2\u5bdf\u3002\u5bf9\u8be5\u9886\u57df\u66f4\u8fd1\u7684\u9884\u6d4b\u5305\u62ec\u9a8c\u8bc1\u4e00\u7cfb\u5217\u76f8\u5173\u6a21\u578b\uff0c\u8fd9\u4e9b\u6a21\u578b\u7684\u76ee\u6807\u662f\u201c\u4f4e\u5782\u7684\u679c\u5b9e\u201d: \u766b\u75eb\u53d1\u4f5c\u7684\u9884\u6d4b\u548c\u63a7\u5236\uff0c\u51b3\u7b56\u5b9e\u9a8c\u7684\u8bbe\u8ba1\u548c\u5206\u6790\uff0c\u4ee5\u53ca\u5bf9\u7cbe\u795e\u75c5\u5206\u7c7b\u7cfb\u7edf\u7684\u8d21\u732e[17]\u3002\u8981\u5b9e\u73b0\u8fd9\u4e9b\u8fd1\u5904\u7684\u76ee\u6807\uff0c\u9700\u8981\u5728\u5b9e\u9a8c\u8bbe\u8ba1\u548c\u968f\u540e\u7684\u6570\u636e\u5206\u6790\u4e2d\u66f4\u591a\u5730\u4f7f\u7528\u8ba1\u7b97\u6a21\u578b\u3002<\/span><\/section>\n

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                    \u53c2\u8003\u6587\u732e<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n

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                    1. Hoel, E.P., L. Albantakis, and G. Tononi, Quantifying causal emergence shows that macro can beat micro. Proc Natl Acad Sci U S A, 2013. 110(49): p. 19790-5.<\/span><\/section>\n
                    2. Nunez, P.L. and R. Srinivasan, Electric fields of the brain: the neurophysics of EEG. 2006: Oxford University Press, USA.<\/span><\/section>\n
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                    4. Jirsa, V.K. and H. Haken, Field Theory of Electromagnetic Brain Activity. Phys Rev Lett, 1996. 77(5): p. 960-963.<\/span><\/section>\n
                    5. Freeman, W.J., Mass action in the nervous system. Vol. 2004. 1975: Citeseer.<\/span><\/section>\n
                    6. Valdes-Sosa, P.A., et al., Model driven EEG\/fMRI fusion of brain oscillations. Hum Brain Mapp, 2009. 30(9): p. 2701-21.<\/span><\/section>\n
                    7. Daunizeau, J., K.E. Stephan, and K.J. Friston, Stochastic dynamic causal modelling of fMRI data: should we care about neural noise? Neuroimage, 2012. 62(1): p. 464-81.<\/span><\/section>\n
                    8. Anderson, P.W., More Is Different. Science, 1972. 177(4047): p. 393-396.<\/span><\/section>\n
                    9. Deco, G., et al., The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol, 2008. 4(8): p. e1000092.<\/span><\/section>\n
                    10. Friston, K., The free-energy principle: a unified brain theory? Nat Rev Neurosci, 2010. 11(2): p. 127-38.<\/span><\/section>\n
                    11. Huys, Q.J., T.V. Maia, and M.J. Frank, Computational psychiatry as a bridge from neuroscience to clinical applications. Nat Neurosci, 2016. 19(3): p. 404-13.<\/span><\/section>\n
                    12. Jansen, B.H. and V.G. Rit, Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biol Cybern, 1995. 73(4): p. 357-66.<\/span><\/section>\n
                    13. Marreiros, A.C., et al., Population dynamics: variance and the sigmoid activation function. Neuroimage, 2008. 42(1): p. 147-57.<\/span><\/section>\n
                    14. Freeman, W.J., Nonlinear gain mediating cortical stimulus-response relations. Biol Cybern, 1979. 33(4): p. 237-47.<\/span><\/section>\n
                    15. Wilson, H.R. and J.D. Cowan, Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J, 1972. 12(1): p. 1-24.<\/span><\/section>\n
                    16. Miller, P., et al., A recurrent network model of somatosensory parametric working memory in the prefrontal cortex. Cereb Cortex, 2003. 13(11): p. 1208-18.<\/span><\/section>\n
                    17. Wong, K.F. and X.J. Wang, A recurrent network mechanism of time integration in perceptual decisions. J Neurosci, 2006. 26(4): p. 1314-28.<\/span><\/section>\n
                    18. Horvat, S., et al., Spatial Embedding and Wiring Cost Constrain the Functional Layout of the Cortical Network of Rodents and Primates. PLoS Biol, 2016. 14(7): p. e1002512.<\/span><\/section>\n
                    19. Woolrich, M.W. and K.E. Stephan, Biophysical network models and the human connectome. Neuroimage, 2013. 80: p. 330-8.<\/span><\/section>\n
                    20. Jirsa, V.K., et al., Towards the virtual brain: network modeling of the intact and the damaged brain. Arch Ital Biol, 2010. 148(3): p. 189-205.<\/span><\/section>\n
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