{"id":24761,"date":"2021-03-22T22:23:27","date_gmt":"2021-03-22T14:23:27","guid":{"rendered":"https:\/\/swarma.org\/?p=24761"},"modified":"2021-03-22T22:23:27","modified_gmt":"2021-03-22T14:23:27","slug":"prl%ef%bc%9a%e5%a4%a7%e8%84%91%e5%8a%a8%e5%8a%9b%e5%ad%a6-%e5%9c%a8%e4%b8%b4%e7%95%8c%e7%82%b9%e5%b7%a6%e5%8f%b3%e5%be%98%e5%be%8a","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=24761","title":{"rendered":"PRL\uff1a\u5927\u8111\u52a8\u529b\u5b66\u2014\u2014\u5728\u4e34\u754c\u70b9\u5de6\u53f3\u5f98\u5f8a"},"content":{"rendered":"
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\u8bb8\u591a\u8bc1\u636e\u8868\u660e\uff0c\u751f\u7269\u5927\u8111\u76ae\u5c42\u666e\u904d\u5728\u4e34\u754c\u70b9\u9644\u8fd1\u8fd0\u884c\uff0c\u4f46\u76ee\u524d\u5c1a\u672a\u53d1\u73b0\u666e\u9002\u7684\u6807\u5ea6\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4e0d\u540c\u7269\u79cd\u4e4b\u95f4\u3001\u540c\u4e00\u7269\u79cd\u4e0d\u540c\u4e2a\u4f53\u4e4b\u95f4\u3001\u540c\u4e00\u4e2a\u4f53\u4e0d\u540c\u65f6\u523b\u4e4b\u95f4\uff0c\u52a8\u529b\u5b66\u7684\u6807\u5ea6\u4f1a\u6709\u5f88\u5927\u5dee\u5f02\u3002\u600e\u6837\u7406\u89e3\u5176\u4e2d\u7684\u5dee\u5f02\u6027\u548c\u7edf\u4e00\u6027\uff1f\u8fd1\u65e5\uff0c\u4e00\u7bc7\u53d1\u8868\u4e8e Physics Review Letters<\/em> \u7684\u8bba\u6587\u6307\u51fa\uff1a\u5916\u90e8\u8f93\u5165\u8feb\u4f7f\u5927\u8111\u7684\u795e\u7ecf\u7f51\u7edc\u8fdc\u79bb\u4e34\u754c\u70b9\uff0c\u5728\u975e\u5e73\u8861\u72b6\u6001\u4e0b\u8fd0\u884c\u3002\u4e0d\u540c\u7684\u6761\u4ef6\u4e0b\uff0c\u5927\u8111\u90fd\u5904\u4e8e\u4e00\u7c7b\u6ee1\u8db3\u6807\u5ea6\u5173\u7cfb\u7684\u201c\u51c6\u4e34\u754c\u6001\u201d\u3002<\/span><\/strong><\/span><\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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Moritz Helias<\/span> | \u4f5c\u8005<\/span><\/strong><\/strong><\/h3>\n

\u90ed\u745e\u4e1c<\/span> <\/span>| \u8bd1\u8005<\/span><\/strong><\/h3>\n

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\u8d75\u96e8\u4ead<\/span> | \u5ba1\u6821<\/strong><\/strong><\/span><\/p>\n

\u9093\u4e00\u96ea<\/span> | \u7f16\u8f91<\/strong><\/span><\/span>
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Evidence for Quasicritical Brain Dynamics<\/span><\/section>\n
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https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.126.098101<\/span><\/section>\n<\/h1>\n<\/section>\n<\/section>\n<\/blockquote>\n


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1. \u4e34\u754c\u6001\uff0c\u63cf\u8ff0\u591a\u79cd\u73b0\u8c61\u7684\u4e00\u822c\u6027\u6a21\u578b<\/strong><\/strong><\/p>\n<\/section>\n

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\u8bb8\u591a\u4e0d\u540c\u7269\u7406\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u53ef\u4ee5\u7528\u4e00\u4e2a\u5355\u4e00\u7684\u6570\u5b66\u6a21\u578b\u6765\u63cf\u8ff0\u3002\u770b\u4f3c\u6beb\u65e0\u5171\u540c\u70b9\u7684\u7cfb\u7edf<\/span>\uff08\u4f8b\u5982\u6c34\u4ece\u6c99\u5b50\u4e2d\u6e17\u900f\uff0c\u6216\u8005\u5728\u5ca9\u77f3\u4e2d\u88c2\u7f1d\u7684\u6269\u6563\uff09<\/span>\u90fd\u5904\u4e8e\u4e34\u754c\u6001\u4e8b\u4ef6<\/span>\uff08 critical phenomena \uff09<\/span>\u3002\u5df2\u6709\u7814\u7a76\u8868\u660e\uff0c\u5927\u8111\u4e2d\u7684\u795e\u7ecf\u5143\u7f51\u7edc\u4ee3\u8868\u4e86\u8fd9\u4e00\u7c7b\u4e8b\u4ef6\u4e2d\u7684\u53e6\u4e00\u4e2a\u5173\u952e\u7cfb\u7edf\uff0c\u800c\u5176\u4ed6\u7814\u7a76\u5219\u63ed\u793a\u4e86\u795e\u7ecf\u5143\u4f1a\u5448\u73b0\u504f\u79bb\u4e34\u754c\u72b6\u6001\u7684\u884c\u4e3a\u3002\u73b0\u5728\uff0c\u5370\u5730\u5b89\u90a3\u5927\u5b66\u4f2f\u660e\u987f\u5206\u6821\u7684 Leandro Fosque \u548c\u4ed6\u7684\u540c\u4e8b\u4eec\u8868\u660e\uff0c\u5927\u8111\u53ef\u80fd\u662f\u201c\u51c6\u4e34\u754c\u7684\u201d<\/strong>\uff1a\u5b83\u88ab\u6301\u7eed\u4e0d\u65ad\u7684\u5916\u90e8\u523a\u6fc0\u9a71\u79bb\u4e34\u754c\u70b9[1]\u3002\u4ed6\u4eec\u53d1\u73b0\uff0c\u8fd9\u79cd\u8f6c\u53d8\u5e76\u4e0d\u662f\u968f\u673a\u7684\uff0c\u800c\u662f\u4ee5\u4e00\u79cd\u5927\u8111\u5bf9\u523a\u6fc0\u53cd\u5e94\u6700\u5927\u5316\u7684\u65b9\u5f0f\u53d1\u751f\u2014\u2014\u8fd9\u79cd\u53cd\u5e94\u6a21\u5f0f\u662f\u5927\u8111\u5904\u7406\u4fe1\u606f\u7684\u6838\u5fc3\u7279\u5f81\u3002<\/span><\/p>\n


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\u5728\u5927\u8111\u4e2d\uff0c\u4e34\u754c\u72b6\u6001\u6307\u7684\u662f\u795e\u7ecf\u5143\u6d3b\u52a8\u88ab\u523a\u6fc0<\/span>\uff08\u5982\u611f\u89c9\u8f93\u5165\uff09<\/span>\u6240\u89e6\u53d1\u7684\u65b9\u5f0f\u3002\u8fd9\u79cd\u6d3b\u52a8\u4ee5\u7c7b\u4f3c\u8fde\u7eed\u96ea\u5d29\u7684\u65b9\u5f0f\u4f20\u64ad\u30fc\u30fc\u5728 t \u65f6\u95f4\u6bb5\u5185\uff0cs \u795e\u7ecf\u5143\u77ed\u6682\u5730\u8fde\u7eed\u53d1\u5c04\u3002T \u548c s \u968f\u65f6\u95f4\u7684\u53d8\u5316\u670d\u4ece\u5e42\u5f8b\u5206\u5e03\uff0c\u5448\u73b0\u51fa\u65e0\u6807\u5ea6\u7684\u4e34\u754c\u6001\u884c\u4e3a\u6a21\u5f0f[2]\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span><\/p>\n


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\u795e\u7ecf\u5143\u7684\u4e34\u754c\u6001\u793a\u610f\u56fe\uff0c\u4ece\u7ea2\u8272\u521d\u59cb\u70b9\u5f00\u59cb\u7684\u523a\u6fc0\uff0c\u795e\u7ecf\u5143\u7684\u6fc0\u6d3b\u5448\u73b0\u51fa\u96ea\u5d29\u5f0f\u7684\u5e42\u5f8b\u5206\u5e03\uff0c\u4e0d\u5b58\u5728\u81ea\u53d1\u7684\u518d\u6b21\u6fc0\u6d3b\u3002<\/span><\/section>\n


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\u5728\u4f53\u5916\u57f9\u517b\u7684\u795e\u7ecf\u5143\u7f51\u7edc\u4e2d\uff0c\u76f8\u5e94\u7684\u5e42\u5f8b\u6307\u6570 \u03c4t<\/sub> \u548c \u03c4s<\/sub> <\/span>\uff08\u63cf\u8ff0\u5728\u7279\u5b9a\u7684t\u548cs\u65f6\uff0c\u96ea\u5d29\u5982\u4f55\u968f\u65f6\u95f4\u7684\u5206\u5e03\uff09<\/span>\u662f\u5e38\u6570\uff0c\u4e14\u662f\u4e00\u4e2a\u53ef\u4ee5\u7528\u201c\u5b9a\u5411\u6e17\u6d41\u201d\u5206\u652f\u8fc7\u7a0b\u6765\u6a21\u62df\u7684\u901a\u7528\u7c7b\u3002\u5728\u8fd9\u4e2a\u6a21\u578b\u4e2d\uff0c\u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u795e\u7ecf\u5143\u653e\u7535\uff0c\u800c\u5206\u652f\u4ee3\u8868\u4ece\u8be5\u795e\u7ecf\u5143\u4f20\u9012\u5230\u4e00\u4e2a\u6216\u591a\u4e2a\u201c\u540e\u4ee3\u201d\u3002\u5f53\u5206\u652f\u7cfb\u6570<\/span>\uff08\u6bcf\u4e2a\u6d3b\u52a8\u795e\u7ecf\u5143\u7684\u5b50\u4ee3\u6570\u91cf\uff09<\/span>\u4f4d\u4e8e\u4e24\u4e2a\u76f8\u53d8\u70b9\u9644\u8fd1\u65f6\uff0c\u7f51\u7edc\u5448\u4e34\u754c\u72b6\u6001\uff1a\u4e00\u65b9\u9762\uff0c\u795e\u7ecf\u5143\u95f4\u7684\u7ea7\u8054\u8fde\u63a5\u80fd\u8fc5\u901f\u88ab\u6291\u5236\uff1b\u53e6\u4e00\u65b9\u9762\uff0c\u795e\u7ecf\u5143\u7684\u7ea7\u8054\u8fde\u63a5\u4ee5\u81ea\u6211\u7ef4\u6301\u7684\u7684\u65b9\u5f0f\u8fdb\u884c\u3002<\/span><\/p>\n


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2. \u5927\u8111\u4e2d\u795e\u7ecf\u7684\u52a8\u529b\u5b66\u4e0d\u7b26\u5408\u4e34\u754c\u6001<\/strong><\/strong><\/p>\n<\/section>\n

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Fosque\u548c\u4ed6\u7684\u540c\u4e8b\u901a\u8fc7\u7ed3\u5408\u6a21\u62df\u795e\u7ecf\u7f51\u7edc\uff0c\u548c\u5bf9\u556e\u9f7f\u52a8\u7269\u795e\u7ecf\u5143\u6570\u636e\u7684\u5206\u6790\u6765\u89e3\u91ca\u8fd9\u4e9b\u6307\u6570\u7684\u53d8\u5316\u3002\u4ed6\u4eec\u7684\u4e34\u754c\u5206\u652f\u6a21\u578b\u8003\u8651\u4e86\u5b9a\u5411\u6e17\u6ee4\u7684\u4e00\u4e2a\u91cd\u8981\u65b9\u9762\uff0c\u5373\u795e\u7ecf\u5143\u6fc0\u6d3b\u7684\u52a8\u529b\u5b66\u3002\u8be5\u6a21\u578b\u5728\u795e\u7ecf\u5143\u57f9\u517b\u76bf\u4e0e\u6d3b\u4f53\u5927\u8111\u4e4b\u95f4\u662f\u4e0d\u540c\u7684\uff1a\u5373\u5438\u6536\u72b6\u6001<\/span>\uff08\u7531\u4e8e\u968f\u673a\u6027\uff0c\u5f53\u6240\u6709\u795e\u7ecf\u5143\u5728\u540c\u4e00\u65f6\u523b\u5904\u4e8e\u672a\u6fc0\u6d3b\u72b6\u6001\u65f6\uff0c\u5927\u8111\u6d3b\u52a8\u7684\u505c\u6b62\uff09<\/span>\u5b58\u5728\u4e0d\u540c\u3002\u8fd9\u79cd\u72b6\u6001\u5bf9\u4e8e\u795e\u7ecf\u5143\u96ea\u5d29\u5f0f\u4f20\u64ad\u7684\u7ed3\u675f\u81f3\u5173\u91cd\u8981\uff1a\u5728\u4e00\u4e2a\u5c0f\u578b\u7684\u5b64\u7acb\u7f51\u7edc\u4e2d\uff0c\u5438\u6536\u72b6\u6001\u5f88\u5bb9\u6613\u8fbe\u5230\uff0c\u4f46\u5728\u4e00\u4e2a\u5927\u578b\u7684\u3001\u76f8\u4e92\u8fde\u63a5\u7684\u7f51\u7edc\u4e2d\u5c31\u5f88\u96be\u5b9e\u73b0\u3002<\/span><\/p>\n


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\u867d\u7136\u5728\u6d3b\u4f53\u5927\u8111\u4e2d\uff0c \u03c4<\/span>t<\/sub> <\/span>\u548c \u03c4<\/span>s<\/sub><\/span> \u7684\u503c\u6709\u6240\u4e0d\u540c\uff0c\u4f46\u5b83\u4eec\u5e76\u4e0d\u968f\u610f\u6539\u53d8\u3002\u76f8\u53cd\uff0c\u6b63\u5982\u6700\u8fd1\u53d1\u73b0\u7684\u90a3\u6837\uff0c<\/span>\u03c4<\/span>t<\/sub> <\/span>\u548c \u03c4<\/span>s<\/sub><\/span> \u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u5173\u7cfb\u7d27\u5bc6\u5730\u8054\u7cfb\u5728\u4e00\u8d77\u3002Fosque\u548c\u4ed6\u7684\u540c\u4e8b\u4eec\u8868\u660e\uff0c\u5f53\u4ed6\u4eec\u6a21\u578b\u7684\u53c2\u6570\u8c03\u6574\u5230\u201c\u6700\u5927\u654f\u611f\u70b9\u201d\u65f6\uff0c\u8fd9\u79cd\u7ebf\u6027\u5173\u7cfb\u5c31\u51fa\u73b0\u4e86\uff0c\u8fd9\u610f\u5473\u7740\u795e\u7ecf\u5143\u5bf9\u523a\u6fc0\u6700\u654f\u611f\u3002\u4ed6\u4eec\u79f0\u8fd9\u79cd\u72b6\u6001\u4e3a\u201c\u51c6\u4e34\u754c\u201d\uff1a\u7ed9\u5b9a\u6270\u52a8\u3001\u81ea\u53d1\u6d3b\u5316\u3001\u5c3d\u53ef\u80fd\u4e34\u754c\u3002<\/span><\/p>\n


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\u539f\u6587\u5730\u5740\uff1ahttps:\/\/physics.aps.org\/articles\/v14\/28<\/span><\/section>\n


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1. L. J. Fosque et al., \u201cEvidence for quasicritical brain dynamics,\u201d <\/span>Phys. Rev. Lett. 126, 098101 (2021).<\/span><\/p>\n

2. J. M. Beggs and D. Plenz, \u201cNeuronal avalanches in neocortical circuits,\u201d <\/span>J. Neurosci. 23, 11167 (2003).<\/span><\/p>\n

3. N. Goldenfeld, Lectures on phase transitions and the renormalization group (CRC Press, Boca Raton, 2019)[<\/span>Amazon][<\/span>WorldCat].<\/span><\/p>\n

4. V. Braitenberg and A. Sch\u00fcz, Anatomy of the cortex: Statistics and geometry (Springer-Verlag, Berlin, 1991)[<\/span>Amazon][<\/span>WorldCat].<\/span><\/p>\n

5. R. V. Williams-Garc\u00eda et al., \u201cQuasicritical brain dynamics on a nonequilibrium Widom line,\u201d <\/span>Phys. Rev. E 90, 062714 (2014).<\/span><\/p>\n

6. A. J. Fontenele et al., \u201cCriticality between cortical states,\u201d <\/span>Phys. Rev. Lett. 122, 208101 (2019).<\/span><\/p>\n

7. V. Priesemann et al., \u201cSpike avalanches in vivo suggest a driven, slightly subcritical brain state,\u201d <\/span>Front. Syst. Neurosci. 24 (2014).<\/span><\/p>\n

8. J. Wilting and V. Priesemann, \u201cBetween perfectly critical and fully irregular: A reverberating model captures and predicts cortical spike propagation,\u201d <\/span>Cereb. Cortex 29, 2759 (2019).<\/span><\/p>\n

9. P. Cheeseman et al., \u201cWhere the really hard problems are,\u201d in Proceedings of the 12th International Joint Conference on Artificial Intelligence, IJCAI\u201991, Vol. 1 (Morgan Kaufmann Publishers Inc., San Francisco, 1991), p. 331[<\/span>Amazon][<\/span>WorldCat].<\/span><\/p>\n

10. C. van Vreeswijk and H. Sompolinsky, \u201cChaos in neuronal networks with balanced excitatory and inhibitory activity,\u201d <\/span>Science 274, 1724 (1996).<\/span><\/p>\n


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