{"id":24370,"date":"2021-03-09T21:52:11","date_gmt":"2021-03-09T13:52:11","guid":{"rendered":"https:\/\/swarma.org\/?p=24370"},"modified":"2021-03-09T21:52:11","modified_gmt":"2021-03-09T13:52:11","slug":"%e7%bd%91%e7%bb%9c%e9%81%87%e8%a7%81%e5%a4%a7%e6%95%b0%e6%8d%ae%ef%bc%9a%e5%9c%a8%e5%a4%a7%e5%9e%8b%e9%9d%99%e6%80%81%e6%95%b0%e6%8d%ae%e9%9b%86%e4%b8%ad%e6%81%a2%e5%a4%8d%e5%8a%a8%e6%80%81%e7%bd%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=24370","title":{"rendered":"\u7f51\u7edc\u9047\u89c1\u5927\u6570\u636e\uff1a\u5728\u5927\u578b\u9759\u6001\u6570\u636e\u96c6\u4e2d\u6062\u590d\u52a8\u6001\u7f51\u7edc"},"content":{"rendered":"
<\/p>\n

\u5bfc\u8bed<\/p>\n

\u6211\u4eec\u6b63\u8eab\u5904\u4e8e\u5927\u6570\u636e\u65f6\u4ee3\uff0c\u4ece\u57fa\u7840\u7269\u7406\u5b66\u5230\u751f\u547d\u4ee5\u53ca\u793e\u4f1a\u79d1\u5b66\uff0c\u51e0\u4e4e\u6240\u6709\u5b66\u79d1\u90fd\u5b55\u80b2\u51fa\u4e86\u4f53\u91cf\u5de8\u5927\u7684\u6570\u636e\u96c6\uff0c\u6570\u4ee5\u5343\u8ba1\u7684\u53d8\u91cf\u7ea0\u7f20\u5176\u4e2d\uff0c\u9690\u85cf\u7740\u8bb8\u591a\u6211\u4eec\u672a\u66fe\u53d1\u73b0\u7684\u5173\u7cfb\u4e0e\u81ea\u7136\u6cd5\u5219\u3002\u8fd1\u65e5\u53d1\u8868\u5728 Physics Reports \u7684\u7efc\u8ff0\u6587\u7ae0\uff0c\u4ecb\u7ecd\u4e86\u4e00\u4e2a\u4ece\u5927\u578b\u9759\u6001\u6570\u636e\u96c6\u4e2d\u6062\u590d\u52a8\u6001\u7f51\u7edc\u7684\u7edf\u4e00\u6846\u67b6\uff0c\u4e3a\u6316\u6398\u5927\u6570\u636e\u4e2d\u8574\u542b\u7684\u6df1\u5c42\u6b21\u4fe1\u606f\u63d0\u4f9b\u4e86\u4e00\u79cd\u65b0\u601d\u8def\u3002
\u9648\u660a | \u4f5c\u8005\u9093\u4e00\u96ea | \u7f16\u8f91<\/p>\n

\u8bba\u6587\u9898\u76ee\uff1a
Recovering dynamic networks in big static datasets
\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/doi.org\/10.1016\/j.physrep.2021.01.003<\/p>\n

\u4f34\u968f\u7740\u5404\u7c7b\u4f20\u611f\u5668\u7684\u4f7f\u7528\u4e0e\u6570\u636e\u5b58\u50a8\u80fd\u529b\u7684\u63d0\u5347\uff0c\u5927\u578b\u6570\u636e\u96c6\u5728\u5404\u4e2a\u9886\u57df\u53d8\u5f97\u8d8a\u6765\u8d8a\u666e\u904d\u3002\u4e3a\u4e86\u6316\u6398\u590d\u6742\u7684\u6570\u636e\u4e2d\u8574\u542b\u7684\u4fe1\u606f\uff0c\u591a\u79cd\u591a\u6837\u7684\u4fe1\u606f\u5904\u7406\u624b\u6bb5\u5c42\u51fa\u4e0d\u7a77\uff0c\u7f51\u7edc\u7406\u8bba\u4e0e\u65b9\u6cd5\u5219\u5728\u5176\u4e2d\u626e\u6f14\u4e86\u91cd\u8981\u7684\u89d2\u8272\u3002\u7136\u800c\uff0c\u53d7\u5230\u6280\u672f\u3001\u9053\u5fb7\u7b49\u591a\u65b9\u56e0\u7d20\u7684\u9650\u5236\uff0c\u6211\u4eec\u83b7\u53d6\u5230\u7684\u6570\u636e\u901a\u5e38\u662f\u9759\u6001\u7684\uff0c\u57fa\u4e8e\u9759\u6001\u6570\u636e\u91cd\u6784\u51fa\u7684\u7f51\u7edc\u65e0\u6cd5\u63ed\u793a\u51fa\u8db3\u591f\u7684\u4fe1\u606f\u3002 \u4e3a\u4e86\u89e3\u51b3\u8be5\u95ee\u9898\uff0c\u6700\u8fd1\u53d1\u8868\u5728 Physics Reports \u7684\u4e00\u7bc7\u6587\u7ae0\u63d0\u51fa\u4e86\u4e00\u79cd\u4ece\u5927\u578b\u9759\u6001\u6570\u636e\u4e2d\u6062\u590d\u52a8\u6001\u7f51\u7edc\u7684\u7edf\u4e00\u6846\u67b6\u3002\u8be5\u6846\u67b6\u7ed3\u5408\u4e86\u5f02\u901f\u751f\u957f\u7387\u4e0e\u8fdb\u5316\u535a\u5f08\u8bba\uff0c\u4f7f\u7528\u5e38\u5fae\u5206\u65b9\u7a0b\u7ec4\u5bf9\u9759\u6001\u6570\u636e\u6837\u672c\u8fdb\u884c\u5efa\u6a21\uff0c\u5f15\u5165\u751f\u6001\u4f4d\u7684\u6982\u5ff5\u6765\u5f25\u8865\u9759\u6001\u6570\u636e\u7f3a\u5c11\u65f6\u95f4\u7ef4\u5ea6\u7684\u4e0d\u8db3\u3002\u9664\u6b64\u4e4b\u5916\uff0c\u672c\u6587\u9488\u5bf9\u5e38\u5fae\u5206\u65b9\u7a0b\u7ec4\u6a21\u578b\u4e0b\u7684\u7f51\u7edc\u793e\u533a\u5212\u5206\u3001\u591a\u7a7a\u95f4\u7f51\u7edc\u6784\u5efa\u3001\u8d85\u7f51\u7edc\u6784\u5efa\u7b49\u95ee\u9898\u8fdb\u884c\u4e86\u8be6\u7ec6\u7684\u63cf\u8ff0\uff0c\u7ed9\u51fa\u4e86\u7531\u9759\u6001\u6570\u636e\u5230\u52a8\u6001\u7f51\u7edc\u7684\u5b8c\u6574\u89e3\u51b3\u65b9\u6848\u3002
 <\/p>\n

1. \u7f51\u7edc\u9047\u89c1\u5927\u6570\u636e<\/p>\n

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2. \u5c06\u9759\u6001\u6570\u636e\u8f6c\u6362\u4e3a\u52a8\u6001\u8868\u793a\u7684\u7edf\u4e00\u6846\u67b6<\/p>\n

\u4efb\u4f55\u7c7b\u578b\u7684\u5bf9\u8c61\uff0c\u5176\u529f\u80fd\u548c\u884c\u4e3a\u59cb\u7ec8\u7531\u5176\u7ec4\u6210\u90e8\u5206\u4e4b\u95f4\u4ee5\u53ca\u4e0e\u5468\u56f4\u73af\u5883\u7684\u76f8\u4e92\u4f5c\u7528\u6765\u51b3\u5b9a\u3002\u8fd9\u4f7f\u6211\u4eec\u53ef\u4ee5\u5c06\u7f51\u7edc\u89c6\u4e3a\u7531\u6240\u6709\u751f\u7269\uff08\u751f\u7269\u7269\u79cd\uff09\u548c\u975e\u751f\u7269\u56e0\u5b50\uff08\u5305\u62ec\u6e29\u5ea6\u3001\u8425\u517b\u7d20\u3001\u6c34\u548c\u6c27\u6c14\u7684\u975e\u751f\u7269\u73af\u5883\u5143\u7d20\uff09\u76f8\u4e92\u4f5c\u7528\u7ec4\u6210\u7684\u751f\u6001\u7cfb\u7edf\u3002\u8fd9\u4e9b\u56e0\u7d20\u4e4b\u95f4\u7684\u76f8\u4e92\u5173\u7cfb\u4e0d\u4ec5\u5f71\u54cd\u5355\u4e2a\u7269\u79cd\u7684\u751f\u5b58\u548c\u751f\u957f\uff0c\u800c\u4e14\u8fd8\u51b3\u5b9a\u4e86\u751f\u6001\u7cfb\u7edf\u7684\u6574\u4f53\u529f\u80fd\u3002 \u5bf9\u4e8e\u7279\u5b9a\u7269\u79cd\u81f3\u5173\u91cd\u8981\u7684\u751f\u7269\u548c\u975e\u751f\u7269\u56e0\u5b50\u88ab\u79f0\u4e3a\u8be5\u7269\u79cd\u5728\u751f\u6001\u7cfb\u7edf\u4e2d\u7684\u751f\u6001\u4f4d\uff08ecological niche\uff09[1-2]\uff0c\u4e0d\u540c\u7269\u79cd\u7684\u751f\u6001\u4f4d\u88ab\u5171\u4eab\u7684\u7a0b\u5ea6\u53d6\u51b3\u4e8e\u8fd9\u4e9b\u7269\u79cd\u5982\u4f55\u7ade\u4e89\u6216\u5408\u4f5c\u4ee5\u4e89\u593a\u751f\u6001\u7cfb\u7edf\u4e2d\u7684\u8d44\u6e90\u3002\u901a\u8fc7\u5bf9\u5355\u4e2a\u7269\u79cd\u7684\u751f\u6001\u4f4d\u4e0e\u751f\u6001\u7cfb\u7edf\u603b\u751f\u6001\u4f4d\u4e4b\u95f4\u7684\u5173\u7cfb\u8fdb\u884c\u5efa\u6a21\uff0c\u751f\u6001\u5b66\u5bb6\u53ef\u4ee5\u7814\u7a76\u6bcf\u79cd\u7269\u79cd\u5982\u4f55\u4ee5\u53ca\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u5bf9\u6574\u4e2a\u751f\u6001\u7cfb\u7edf\u505a\u51fa\u8d21\u732e\u3002\u7c7b\u4f3c\u5730\uff0c\u5bf9\u4e8e\u8981\u91cd\u6784\u7684\u7f51\u7edc\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u53d8\u91cf\u7684\u89c2\u6d4b\u503c\u770b\u4f5c\u5176\u201c\u751f\u6001\u4f4d\u201d\uff0c\u5b83\u53cd\u6620\u4e86\u8be5\u53d8\u91cf\u5bf9\u6574\u4e2a\u7cfb\u7edf\u7684\u4f5c\u7528\u3002\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u4e5f\u53ef\u4ee5\u5c06\u6240\u6709\u53d8\u91cf\u7684\u603b\u89c2\u6d4b\u503c\u770b\u4f5c\u7f51\u7edc\u7684\u201c\u603b\u751f\u6001\u4f4d\u201d\u3002
\u56fe1 \u4ece\u7814\u7a76\u5bf9\u8c61\u6536\u96c6\u6570\u636e\u7684\u91c7\u6837\u7b56\u7565 \u5bf9\u8c61i(i=1,…,n)\u662f\u5bf9\u590d\u6742\u7cfb\u7edf\u7684n\u6b21\u91c7\u6837\uff0c\u7531m=5\u4e2a\u5c5e\u6027\u8fdb\u884c\u63cf\u8ff0\u3002<\/p>\n

\u5047\u8bbe\u5728\u4e00\u4e2a\u5b9e\u9a8c\u4e2d\u6709n\u4e2a\u91c7\u6837\u5bf9\u8c61\uff0c\u6bcf\u4e2a\u5bf9\u8c61\u88ab\u53ef\u4ee5\u88ab\u770b\u4f5c\u7531m=5\u4e2a\u53d8\u91cf\u6765\u63cf\u8ff0\u7684\u7cfb\u7edf\u3002\u7531\u4e8e\u53d8\u91cf\u53ea\u80fd\u5728\u5355\u4e2a\u65f6\u95f4\u70b9\u6d4b\u91cf\uff0c\u56e0\u6b64\u91c7\u6837\u5f97\u5230\u7684\u6570\u636e\u662f\u9759\u6001\u7684\u3002yij \u8868\u793a\u6837\u672ci(i=1,\u2026,n)\u7684\u53d8\u91cfj(j=1,\u2026,m)\u7684\u89c2\u6d4b\u503c\uff0c\u5982\u56fe1\u6240\u793a\u3002Ti\u8868\u793a\u6240\u6709\u53d8\u91cf\u7684\u603b\u89c2\u6d4b\u503c\uff0c\u8868\u793a\u4e3a
<\/p>\n

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<\/p>\n

\u901a\u8fc7\u4f30\u8ba1\u53c2\u6570 (\u03b1j, \u03b2j)\uff0c\u6211\u4eec\u53ef\u4ee5\u8868\u5f81\u4e0d\u540c\u53d8\u91cf\u5982\u4f55\u5728\u6837\u672c\u4e2d\u8fdb\u884c\u6539\u53d8\u3002 \u8fdb\u5316\u535a\u5f08\u8bba\uff08\u53c2\u89c1\u539f\u65872.3\uff09\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5c06\u52a8\u6001\u6f14\u5316\u7684\u7cfb\u7edf\u8868\u793a\u4e3a\u4e00\u7cfb\u5217\u5e38\u5fae\u5206\u65b9\u7a0b\u3002\u867d\u7136\u56fe1\u8868\u793a\u7684\u7cfb\u7edf\u4e0d\u5177\u5907\u65f6\u95f4\u7ef4\u5ea6\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5f02\u901f\u751f\u957f\u7387\u6765\u5c06\u53d8\u91cf\u8868\u793a\u4e3a\u603b\u751f\u6001\u4f4d\u7684\u51fd\u6570\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e2aqdODEs\uff08quasi-dynamic ODEs\uff09\u7cfb\u7edf\uff0c\u5728\u8be5\u7cfb\u7edf\u4e2d\u65f6\u95f4\u5bfc\u6570\u88ab\u603b\u751f\u6001\u4f4d\u5bfc\u6570\u4ee3\u66ff\u3002\u9488\u5bf9m\u4e2a\u53d8\u91cf\u7684qdODEs\u53ef\u4ee5\u8868\u793a\u4e3a
<\/p>\n

\u4e0a\u5f0f\u5c06\u53d8\u91cfj\u5bf9\u603b\u751f\u6001\u4f4d\u5bfc\u6570\u7684\u89c2\u6d4b\u503c\u8868\u793a\u4e3a\u4e24\u90e8\u5206\uff1a\u72ec\u7acb\u90e8\u5206   (\u7b80\u5316\u8868\u793a\u4e3aWj(Ti))\u4e0e\u76f8\u4e92\u4f5c\u7528\u90e8\u5206  (\u7b80\u5316\u8868\u793a\u4e3aWjj'(Ti))\u3002qdODEs\u7684\u63a8\u5bfc\u4ee5\u751f\u6001\u7cfb\u7edf\u7406\u8bba\u7684\u89c6\u89d2\u6574\u5408\u4e86\u5f02\u901f\u751f\u957f\u5f8b\u4e0e\u8fdb\u5316\u535a\u5f08\u8bba\uff0c\u4e3a\u4ece\u9759\u6001\u6570\u636e\u91cd\u5efa\u4fe1\u606f\u5b8c\u5168\u7f51\u7edc\u63d0\u4f9b\u4e86\u57fa\u7840\u3002
 <\/p>\n

3. \u9759\u6001\u7f51\u7edc\u7684\u7edf\u8ba1\u63a8\u65ad<\/p>\n

\u4e3a\u4e86\u63cf\u8ff0\u4e00\u4e2a\u590d\u6742\u7cfb\u7edf\uff0c\u6211\u4eec\u5f53\u7136\u9700\u8981\u5c3d\u53ef\u80fd\u5730\u786e\u5b9a\u53d8\u91cf\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\uff0c\u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u6211\u4eec\u9700\u8981\u4f30\u8ba1\u548c\u6d4b\u8bd5\u6bcf\u5bf9\u53d8\u91cf\u4e4b\u95f4\u7684\u6240\u6709\u5173\u7cfb\u3002\u5728\u73b0\u5b9e\u4e16\u754c\uff0c\u5c24\u5176\u662f\u751f\u7269\u5b66\u4e2d\uff0c\u5f88\u5c11\u5b58\u5728\u5168\u8fde\u63a5\u7684\u7f51\u7edc\u3002\u4e3a\u4e86\u589e\u5f3a\u7f51\u7edc\u7684\u9c81\u68d2\u6027\uff0c\u7f51\u7edc\u901a\u5e38\u662f\u7a00\u758f\u7684[3]\u3002\u6b64\u5916\uff0c\u771f\u5b9e\u7f51\u7edc\u8fd8\u4f1a\u901a\u8fc7\u968f\u673a\u6ce2\u52a8\u6765\u63d0\u9ad8\u7f51\u7edc\u7a33\u5b9a\u6027[4]\uff0c\u5e76\u4f7f\u8d44\u6e90\u6d88\u8017\u6700\u5c0f\u5316[5]\u3002\u603b\u800c\u8a00\u4e4b\uff0c\u786e\u4fdd\u7f51\u7edc\u7a00\u758f\u6027\u3001\u56e0\u679c\u5173\u7cfb\u548c\u7a33\u5b9a\u6027\u662f\u7f51\u7edc\u91cd\u6784\u7684\u91cd\u70b9[6]-[8]\u3002 \u4ee5\u56e0\u679c\u5173\u7cfb\u4e3a\u4f8b\uff0c\u53d8\u91cfj’\u5bf9\u53d8\u91cfj\u7684\u5f71\u54cd\u53ef\u4ee5\u7531\u65b9\u7a0b\uff083\uff09\u4e2d\u5bf9Wjj'(Ti)\u7684\u6781\u5927\u4f3c\u7136\u4f30\u8ba1\u8868\u793a\u3002Wjj'(Ti)\u4e3a\u6b63\u3001\u96f6\u4ee5\u53ca\u96f6\u8d1f\u5206\u522b\u8868\u793a\u53d8\u91cfj’\u5bf9j\u6709\u6b63\u9762\u3001\u8d1f\u9762\u4ee5\u53ca\u6ca1\u6709\u5f71\u54cd\u3002\u5982\u88681\u6240\u793a\uff0c\u7ed3\u5408Wjj'(Ti)\u4e0eWj’j(Ti)\u4fbf\u53ef\u4ee5\u5bf9\u4e24\u4e2a\u53d8\u91cf\u7684\u76f8\u4e92\u56e0\u679c\u5173\u7cfb\u8fdb\u884c\u5177\u4f53\u7684\u5206\u6790\u3002\u7279\u522b\u7684\u662f\uff0c\u5f53Wjj'(Ti)\u4e0eWj’j(Ti)\u5747\u4e3a0\u65f6\uff0c\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u6ca1\u6709\u8fde\u8fb9\u3002\u7efc\u4e0a\uff0c\u901a\u8fc7qdODEs\u91cd\u6784\u7684\u7f51\u7edc\u5929\u751f\u5177\u6709\u91cf\u5316\u7684\u56e0\u679c\u5173\u7cfb\u3002
\u88681 \u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u76f8\u4e92\u4f5c\u7528\u7684\u5b8c\u6574\u5b9a\u6027\u3001\u5b9a\u91cf\u63cf\u8ff0
\u4e3a\u7814\u7a76\u57fa\u56e0\u4e0e\u5e38\u89c1\u75be\u75c5\u7684\u56e0\u679c\u5173\u7cfb\uff0c\u6b63\u5728\u8fdb\u884c\u7684GTEx\u9879\u76ee\u6536\u96c6\u4e86\u8fd11000\u4f4d\u5b9e\u9a8c\u5fd7\u613f\u8005\u4e0a\u4e07\u4e2a\u57fa\u56e0\u7684\u7ec4\u7ec7\u7279\u5f02\u6027\u8868\u8fbe\u503c[9]\u3002\u672c\u7bc7\u7efc\u8ff0\u4f7f\u7528GTEx\u9879\u76ee\u4e2d\u7684\u771f\u5b9e\u6570\u636e\u91cd\u6784\u4e86\u7a00\u758f\u3001\u56e0\u679c\u660e\u786e\u3001\u7a33\u5b9a\u7684\u7f51\u7edc\uff08\u56fe2\uff09\u4ee5\u8bf4\u660eqdODEs\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002
\u56fe2 GTEX-11EQ9\u4e2d\u57fa\u56e0\u9a71\u52a8\u7684\u7ec4\u7ec7\u901a\u4fe1\u7f51\u7edc\u3002\u56feA\u4e3a\u5b8c\u6574\u7f51\u7edc\uff0c\u753156200\u4e2a\u57fa\u56e0\u9a71\u52a8\u3002\u56feB\u4e3a\u7531DAZ1\uff08\u603b\u751f\u6001\u4f4d\u6700\u5c0f\u7684\u57fa\u56e0\uff09\u9a71\u52a8\u7684\u7f51\u7edc\u3002\u56feC\u7531MT-CO2\u9a71\u52a8\u7684\u7f51\u7edc\u3002\u7ea2\u8272\u548c\u84dd\u8272\u5206\u522b\u4ee3\u8868\u4fc3\u8fdb\u548c\u6291\u5236\uff0c\u7ebf\u7684\u7c97\u7ec6\u4e0e\u4fc3\u8fdb\u6216\u6291\u5236\u7684\u5f3a\u5ea6\u6210\u6bd4\u4f8b\u3002<\/p>\n

 <\/p>\n

4. \u8ddf\u8e2a\u7f51\u7edc\u7684\u52a8\u6001\u53d8\u5316<\/p>\n

\u4ece\u751f\u7269\u9886\u57df\u5230\u793e\u4f1a\u9886\u57df\u7684\u590d\u6742\u7cfb\u7edf\u90fd\u4f1a\u8fdb\u884c\u52a8\u6001\u53d8\u5316\uff0c\u4ece\u800c\u4f18\u5316\u5176\u7ed3\u6784\u4e0e\u529f\u80fd[10]\u3002\u76ee\u524d\u8bb8\u591a\u7f51\u7edc\u91cd\u6784\u7684\u65b9\u6cd5\u90fd\u53ea\u80fd\u5f97\u5230\u8282\u70b9\u56fa\u5b9a\u7684\u9759\u6001\u7f51\u7edc\uff0c\u8fd9\u79cd\u7f51\u7edc\u65e0\u6cd5\u88ab\u7528\u6765\u7814\u7a76\u65f6\u7a7a\u53d8\u5316\u7684\u590d\u6742\u7cfb\u7edf\u3002\u8fd1\u5e74\u6765\uff0c\u52a8\u6001\u7f51\u7edc\u5206\u6790\u8d8a\u6765\u8d8a\u53d7\u5230\u4eba\u4eec\u7684\u5173\u6ce8[11]\uff0c\u51e0\u9879\u8ba1\u7b97\u533b\u5b66\u7814\u7a76\u5df2\u7ecf\u5f00\u59cb\u8003\u8651\u9488\u5bf9\u7279\u5b9a\u57fa\u56e0\u7684\u7f51\u7edc\u63a8\u7406[12][13]\uff0c\u8fd9\u5bf9\u4e8e\u4e86\u89e3\u590d\u6742\u7cfb\u7edf\u9002\u5e94\u6216\u54cd\u5e94\u5916\u90e8\u5e72\u9884\u7684\u673a\u5236\u6709\u5f88\u5927\u7684\u5e2e\u52a9\u3002\u7136\u800c\uff0c\u73b0\u6709\u7684\u65b9\u6cd5[12][14]\u65e0\u6cd5\u5f88\u597d\u5730\u6355\u83b7\u53d8\u91cf\u95f4\u7684\u56e0\u679c\u5173\u7cfb\uff0cqdODEs\u65b9\u6cd5\u5219\u514b\u670d\u4e86\u8fd9\u79cd\u5c40\u9650\u6027\u3002 \u4ee5Davenport\u7b49\u4eba[15]\u5f97\u5230\u7684\u4eba\u7c7b\u7caa\u4fbf\u5fae\u751f\u7269\u7ec4\u4e30\u5ea6\u6570\u636e\u4e3a\u4f8b\uff0c\u8be5\u6570\u636e\u6765\u6e90\u4e8e127\u4f4d\u5065\u5eb7\u4e2a\u4f53\uff0c93\u4f4d\u5728\u51ac\u5929\u6d4b\u91cf\u300191\u4f4d\u5728\u590f\u5929\u6d4b\u91cf\uff0c\u5176\u4e2d57\u4f4d\u5728\u51ac\u590f\u90fd\u8fdb\u884c\u4e86\u6d4b\u91cf\uff0c\u603b\u8ba1184\u4efd\u6837\u672c\u3002\u9488\u5bf9\u6bcf\u4e00\u4efd\u6837\u672c\u4f7f\u7528qdODEs\u91cd\u6784\u79cd\u7fa4\u5c42\u9762\u7684\u5fae\u751f\u7269\u76f8\u4e92\u4f5c\u7528\u7f51\u7edc\uff0c\u56fe3\u4e3a\u5176\u4e2d\u5177\u6709\u4ee3\u8868\u6027\u7684\u4e09\u4e2a\u7f51\u7edc\u3002
\u56fe3 \u57fa\u4e8e\u7279\u5b9a\u6837\u672c\u7684\u5fae\u751f\u7269\u76f8\u4e92\u4f5c\u7528\u7f51\u7edc \u56feA\u4e2d\u7684\u4e09\u4e2a\u7f51\u7edc\u5206\u522b\u8868\u793a\u603b\u751f\u6001\u4f4d\u6700\u5c0f\uff08Sample 1\uff09\u3001\u5c45\u4e2d\uff08Sample 90\uff09\u3001\u6700\u5927\uff08Sample184\uff09\u3002\u56feB\u4e3a\u6bcf\u4e2a\u7f51\u7edc\u7684\u516d\u4e2a\u7f51\u7edc\u53c2\u6570\uff1aconnectivity (Con), closeness (Clo), betweenness (Bet), eccentricity (Ecc), eigenvector (Eig) \u548cPageRank (PR)\u3002\u56feC\u4e3a 49\u4e2a\u5fae\u751f\u7269\u79cd\u7fa4\u7684\u540d\u79f0\u3002<\/p>\n

\u5728\u4e0d\u540c\u7684\u72b6\u6001\uff08\u5982\u65f6\u95f4\u3001\u4f4d\u7f6e\u3001\u5e72\u9884\u63aa\u65bd\uff09\u4e0b\uff0c\u7f51\u7edc\u7ed3\u6784\u53ef\u80fd\u4f1a\u6709\u4e0d\u540c\u7684\u8868\u73b0\uff0c\u56e0\u6b64\u5c06\u9488\u5bf9\u6837\u672c\u7684\u7f51\u7edc\u8f6c\u6362\u4e3a\u9488\u5bf9\u7279\u5b9a\u72b6\u6001\u7684\u7f51\u7edc\u662f\u5341\u5206\u6709\u5fc5\u8981\u7684\u3002\u4e3a\u6b64\u6211\u4eec\u9700\u8981\u5206\u6790\u4e0d\u540c\u72b6\u6001\u4e0b\u7684\u6837\u672c\u7684\u5dee\u5f02\u6027\u3002\u5047\u8bbe\u5171\u6709C\u79cd\u72b6\u6001\uff0c\u6bcf\u79cd\u72b6\u6001\u5305\u542bnc\u79cd\u6837\u672c\uff0c\u9488\u5bf9\u6bcf\u4e00\u79cd\u72b6\u6001\u6709
<\/p>\n

\u5176\u4e2dWj(Ti)\u548cWjj'(Ti)\u5206\u522b\u4e3a\u53d8\u91cfj\u7684\u72ec\u7acb\u548c\u975e\u72ec\u7acb\u6210\u5206\u3002\u5c06Gj(c)\u7f16\u7801\u4e3a\u8282\u70b9\u3001Gjj'(c)\u7f16\u7801\u4e3a\u8fde\u8fb9\u5373\u53ef\u5f97\u5230\u7279\u5b9a\u72b6\u6001\u4e0b\u7684\u7f51\u7edc\u3002\u56fe4\u5c55\u793a\u4e86\u4e0d\u540c\u5b63\u8282\u3001\u6027\u522b\u4e0e\u5e74\u9f84\u9636\u6bb5\u4e0b\u5f97\u5230\u7684\u5fae\u751f\u7269\u76f8\u4e92\u4f5c\u7528\u7f51\u7edc\u3002
\u56fe4 \u5c06\u9488\u5bf9\u7279\u5b9a\u6837\u672c\u7684\u7f51\u7edc\u8f6c\u5316\u4e3a\u9488\u5bf9\u7279\u5b9a\u5b63\u8282\uff08\u56feA)\u3001\u7279\u5b9a\u6027\u522b\uff08\u56feB\uff09\u3001\u7279\u5b9a\u5e74\u9f84\uff08\u56feC\uff09\u7684\u7f51\u7edc
  <\/p>\n

5. \u603b\u7ed3<\/p>\n

\u9664\u4e0a\u8ff0\u5185\u5bb9\u5916\uff0c\u8be5\u7efc\u8ff0\u8fd8\u6d89\u53ca\u4e86\u5bf9\u591a\u7a7a\u95f4\u7f51\u7edc\u3001\u8d85\u7f51\u7edc\u7b49\u60c5\u5f62\u7684\u8ba8\u8bba\u4e0e\u6280\u672f\u4ecb\u7ecd\u3002\u73b0\u4ee3\u79d1\u5b66\u6b63\u4ee5\u60ca\u4eba\u7684\u901f\u5ea6\u53d1\u5c55\uff0c\u5148\u8fdb\u7684\u4eea\u5668\u548c\u6280\u672f\u8ba9\u6211\u4eec\u83b7\u5f97\u4e86\u5404\u7c7b\u5341\u5206\u5e9e\u5927\u3001\u5b8c\u6574\u7684\u6570\u636e\u3002\u4f20\u7edf\u7684\u7edf\u8ba1\u548c\u8ba1\u7b97\u65b9\u6cd5\u96be\u4ee5\u63ed\u793a\u51fa\u9ad8\u7ef4\u6570\u636e\u95f4\u7684\u56e0\u679c\u5173\u7cfb\uff0c\u800c\u7f51\u7edc\u5219\u63d0\u4f9b\u4e86\u4e00\u79cd\u524d\u6240\u672a\u6709\u7684\u65b9\u5f0f\u6765\u8868\u793a\u3001\u91cd\u6784\u3001\u7814\u7a76\u6570\u636e\u95f4\u7684\u590d\u6742\u5173\u8054\u3002 \u4e3a\u89e3\u51b3\u73b0\u6709\u7f51\u7edc\u65b9\u6cd5\u96be\u4ee5\u5904\u7406\u9759\u6001\u6570\u636e\u7684\u95ee\u9898\uff0c\u8fd9\u7bc7\u7efc\u8ff0\u7ed3\u5408\u5f02\u901f\u751f\u957f\u7387\u4e0e\u8fdb\u5316\u535a\u5f08\u8bba\uff0c\u5efa\u7acb\u4e86\u4e00\u4e2a\u7531\u9759\u6001\u6570\u636e\u63a8\u65ad\u51fa\u591a\u79cd\u6709\u610f\u4e49\u7684\u52a8\u6001\u7f51\u7edc\u7684\u7edf\u4e00\u6846\u67b6\uff0c\u8bc1\u660e\u4e86qdODEs\u65b9\u6cd5\u7684\u4f18\u8d8a\u6027\uff0c\u5bf9\u6316\u6398\u7269\u7406\u3001\u751f\u7269\u7b49\u591a\u4e2a\u5b66\u79d1\u4e2d\u7684\u6df1\u5c42\u6b21\u89c4\u5f8b\u53ef\u4ee5\u8d77\u5230\u5de8\u5927\u7684\u5e2e\u52a9\u3002 
\u53c2\u8003\u6587\u732e<\/p>\n

[1] Townsend Peterson A, Sober\u00f3n J, Pearson R G, et al. Ecological niches and geographic distributions[J]. Princeton UP, Princeton, 2011.
[2] Pereira F C, Berry D. Microbial nutrient niches in the gut[J]. Environmental microbiology, 2017, 19(4): 1366-1378.
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[7] Zavlanos M M, Julius A A, Boyd S P, et al. Inferring stable genetic networks from steady-state data[J]. Automatica, 2011, 47(6): 1113-1122.
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[15] Davenport B, Li Y, Heizer J W, et al. Signature channels of excitability no more: L-type channels in immune cells[J]. Frontiers in immunology, 2015, 6: 375.<\/p>\n

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