基于网络熵探测新冠爆发临界信号
Detection of Critical Signals in Local COVID-19 Outbreaks Based on Landscape Network Entropy
摘要: 2019年冠状病毒疾病(COVID-19)的迅速传播对世界各地的人们构成了巨大威胁,必须制定有效的策略来检测COVID-19爆发的预警信号以便及时采取适当的控制措施。与时间序列预测不同,疫情爆发通常是非线性的事件,其特征是从缓慢变化到急剧转变,因此难以预测。通过大量采集地理区域网络及其日增确诊病例的实时数据的动态信息,本文采用了一种非线性的无模型方法,即网络熵(LNE)方法,以识别检测出新冠疫情进行灾难性转变之前的前爆发阶段。在对包括中国湖北省、日本关东地区以及巴西部分地区在内的多个地区的新冠疫情爆发临界点的预测上,网络熵方法都取得了非常理想的预测效果。
Abstract: The rapid spread of coronavirus disease 2019 (COVID-19) has posed an enormous threat to people all around the world. It is imperative to develop effective strategies for detecting early-warning signals of COVID-19 outbreaks to implement appropriate control measures in a timely manner. Unlike time-series prediction, outbreaks are generally highly nonlinear events with characteristics that develop from gradual changes to drastic transitions, and are thus difficult to predict. By exploiting dynamic information collectively from geographic district networks and the real-time data of daily new cases, we adopted a nonlinear model-free approach, the landscape network entropy (LNE) method, to identify the pre-outbreak stage prior to the catastrophic transition into a COVID-19outbreak. The LNE method was successfully validated by accurate predictions of the local COVID-19 outbreaks in various regions, including Hubei Province of China, the Kanto region of Japan and parts of Brazil.
文章引用:洪仁豪, 钟佳元, 陈培. 基于网络熵探测新冠爆发临界信号[J]. 应用数学进展, 2021, 10(5): 1465-1474. https://doi.org/10.12677/AAM.2021.105156

参考文献

[1] Alves, J.D., Abade, A.S., Peres, W.P., Borges, J.E., Santos, S.M. and Scholze, A.R. (2021) Impact of COVID-19 on the Indigenous Population of Brazil: A Geo-Epidemiological Study. medRxiv. [Preprint] [Google Scholar] [CrossRef
[2] Mudenda, S., Mukosha, M., Mwila, C., Saleem, Z., Kalungia, A.C., Munkombwe, D., et al. (2021) Impact of the Coronavirus Disease (COVID-19) on the Mental Health and Physical Activity of Pharmacy Students at the University of Zambia: A Cross-Sectional Study. medRxiv. [Preprint] [Google Scholar] [CrossRef
[3] Kwan, J., Brown, M., Bentley, P., Brown, Z., D’Anna, L., Hall, C., et al. (2021) Impact of COVID-19 Pandemic on a Regional Stroke Thrombectomy Service in the United Kingdom. Cerebrovascular Diseases, 50, 178-184. [Google Scholar] [CrossRef] [PubMed]
[4] Sonnino, G., Peeters, P. and Nardone, P. (2021) Modelling the Spreading of the SARS-CoV-2 in Presence of the Lockdown and Quarantine Measures by a “Kinetic-Type Reactions” Approach. medRxiv. [Preprint] [Google Scholar] [CrossRef
[5] Wilson, K. and Brownstein, J.S. (2009) Early Detection of Disease Outbreaks Using the Internet. Canadian Medical Association Journal, 180, 829-831. [Google Scholar] [CrossRef] [PubMed]
[6] Woodall, J. (1997) Official versus Unofficial Outbreak Reporting through the Internet. International Journal of Medical Informatics, 47, 31-34. [Google Scholar] [CrossRef
[7] Jing, F., Zhang, S., Cao, Z. and Zhang, S. (2019) An Integrative Framework for Combining Sequence and Epigenomic Data to Predict Transcription Factor Binding Sites Using Deep Learning. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 18, 355-364. [Google Scholar] [CrossRef
[8] Chen, P., Liu, R., Aihara, K. and Chen, L. (2020) Autoreservoir Computing for Multistep Ahead Prediction Based on the Spatiotemporal Information Transformation. Nature Communications, 11, Article No. 4568. [Google Scholar] [CrossRef] [PubMed]
[9] Benvenuto, D., Giovanetti, M., Vassallo, L., Angeletti, S. and Ciccozzi, M. (2020) Application of the ARIMA Model on the COVID-2019 Epidemic Dataset. Data in Brief, 29, Article ID: 105340. [Google Scholar] [CrossRef] [PubMed]
[10] Zhao, S., Lin, Q., Ran, J., Musa, S.S., Yang, G., Wang, W., et al. (2020) Preliminary Estimation of the Basic Reproduction Number of Novel Coronavirus (2019-nCoV) in China, from 2019 to 2020: A Data-Driven Analysis in the Early Phase of the Outbreak. International Journal of Infectious Diseases, 92, 214-217. [Google Scholar] [CrossRef] [PubMed]
[11] Shim, E., Tariq, A., Choi, W., Lee, Y. and Chowell, G. (2020) Transmission Potential and Severity of COVID-19 in South Korea. International Journal of Infectious Diseases, 93, 339-344. [Google Scholar] [CrossRef] [PubMed]
[12] Drake, J.M., Brett, T.S., Chen, S., Epureanu, B.I., Ferrari, M.J., Marty, É., et al. (2019) The Statistics of Epidemic Transitions. PLoS Computational Biology, 15, e1006917. [Google Scholar] [CrossRef] [PubMed]
[13] Chen, P., Chen, E., Chen, L., Zhou, X.J. and Liu, R. (2019). Detecting Early-Warning Signals of Influenza Outbreak Based on Dynamic Network Marker. Journal of Cellular and Molecular Medicine, 23, 395-404.[CrossRef] [PubMed]
[14] Chen, L., Liu, R., Liu, Z.P., Li, M. and Aihara, K. (2012) Detecting Early-Warning Signals for Sudden Deterioration of Complex Diseases by Dynamical Network Biomarkers. Scientific Reports, 2, Article No. 342. [Google Scholar] [CrossRef] [PubMed]
[15] Liu, R., Chen, P. and Chen, L. (2020) Single-Sample Landscape Entropy Reveals the Imminent Phase Transition during Disease Progression. Bioinformatics, 36, 1522-1532. [Google Scholar] [CrossRef] [PubMed]
[16] Yang, B., Li, M., Tang, W., Liu, W., Zhang, S., Chen, L. and Xia, J. (2018) Dynamic Network Biomarker Indicates Pulmonary Metastasis at the Tipping Point of Hepatocellular Carcinoma. Nature Communications, 9, Article No. 678. [Google Scholar] [CrossRef] [PubMed]
[17] Richard, A., Boullu, L., Herbach, U., Bonnafoux, A., Morin, V., Vallin, E., et al. (2016) Single-Cell-Based Analysis Highlights a Surge in Cell-to-Cell Molecular Variability Preceding Irreversible Commitment in a Differentiation Process. PLoS Biology, 14, e1002585. [Google Scholar] [CrossRef] [PubMed]
[18] Liu, R., Zhong, J., Hong, R., Chen, E., Aihara, K., Chen, P. and Chen, L. (2021) Predicting Local COVID-19 Outbreaks and Infectious Disease Epidemics Based on Landscape Network Entropy. Science Bulletin. (In Press) [Google Scholar] [CrossRef] [PubMed]
[19] Rochon, J. and Kieser, M. (2011) A Closer Look at the Effect of Preliminary Goodness-of-Fit Testing for Normality for the One-Sample T-Test. British Journal of Mathematical and Statistical Psychology, 64, 410-426. [Google Scholar] [CrossRef] [PubMed]
[20] Gilmore, R. (1993) Catastrophe Theory for Scientists and Engineers. Courier Corporation.
[21] Murray, J.D. (2007) Mathematical Biology: I. An Introduction. Vol. 17, Springer Science & Business Media, New York. [Google Scholar] [CrossRef
[22] The Guardian (2020) Japan Declares State of Emergency over Coronavirus.
https://www.theguardian.com/world/2020/apr/07/japan-shinzo-abe-declares-state-of-emergency-over-coronavirus
[23] The Japan Times (2020) Tokyo Puts forward New Virus Monitoring Guidelines.
https://www.japantimes.co.jp/news/2020/06/30/national/tokyo-new-coronavirus-monitoring-guidelines/
[24] The Asahi Shimbun (2020) Tokyo Raises Its Alert over COVID-19 Cases to Highest Level 4. http://www.asahi.com/ajw/articles/13547867
[25] Travel and Tour World (2020) Japan to Reopen Borders for Foreign Residents; Tourism Remains Closed.
https://www.travelandtourworld.com/news/article/japan-to-reopen-borders-for-foreign-residents-tourism-remains-closed/
[26] Xinhua (2020) Japan, S. Korea to Resume Reciprocal Business Travel Amid COVID-19. http://www.xinhuanet.com/english/2020-10/07/c_139422646.htm
[27] Garda World (2020) Authorities Raise COVID-19 Alert Level in Tokyo to Maximum alert November 19.
https://www.garda.com/crisis24/news-alerts/401361/authorities-raise-covid-19-alert-level-in-tokyo-to-maximum-alert-november-19
[28] World Aware (2020) COVID-19 Alert: Brazil Extends Travel Restrictions until April 30.
https://www.worldaware.com/covid-19-alert-brazil-extends-travel-restrictions-until-april-30
[29] Garda World (2020) Brazil: São Paulo Authorities Extend COVID-19 Restrictions until July 14.
https://www.garda.com/crisis24/news-alerts/354701/brazil-sao-paulo-authorities-extend-covid-19-restrictions-until-july-14-update-27
[30] Garda World (2020) Brazil: Authorities Extend Land and Maritime Border Closures until December 12.
https://www.garda.com/crisis24/news-alerts/399621/brazil-authorities-extend-land-and-maritime-border-closures-until-december-12-update-37
[31] Huang, J., Zhang, L., Liu, X., Wei, Y., Liu, C., Lian, X., et al. (2020) Global Prediction System for COVID-19 Pandemic. Science Bulletin, 65, 1884-1887. [Google Scholar] [CrossRef] [PubMed]