Balcan Duygu, Hu Hao, Goncalves Bruno, Bajardi Paolo, Poletto Chiara, Ramasco Jose J, Paolotti Daniela, Perra Nicola, Tizzoni Michele, Van den Broeck Wouter, Colizza Vittoria, Vespignani Alessandro
Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana University, Bloomington, IN, USA.
BMC Med. 2009 Sep 10;7:45. doi: 10.1186/1741-7015-7-45.
On 11 June the World Health Organization officially raised the phase of pandemic alert (with regard to the new H1N1 influenza strain) to level 6. As of 19 July, 137,232 cases of the H1N1 influenza strain have been officially confirmed in 142 different countries, and the pandemic unfolding in the Southern hemisphere is now under scrutiny to gain insights about the next winter wave in the Northern hemisphere. A major challenge is pre-emptied by the need to estimate the transmission potential of the virus and to assess its dependence on seasonality aspects in order to be able to use numerical models capable of projecting the spatiotemporal pattern of the pandemic.
In the present work, we use a global structured metapopulation model integrating mobility and transportation data worldwide. The model considers data on 3,362 subpopulations in 220 different countries and individual mobility across them. The model generates stochastic realizations of the epidemic evolution worldwide considering 6 billion individuals, from which we can gather information such as prevalence, morbidity, number of secondary cases and number and date of imported cases for each subpopulation, all with a time resolution of 1 day. In order to estimate the transmission potential and the relevant model parameters we used the data on the chronology of the 2009 novel influenza A(H1N1). The method is based on the maximum likelihood analysis of the arrival time distribution generated by the model in 12 countries seeded by Mexico by using 1 million computationally simulated epidemics. An extended chronology including 93 countries worldwide seeded before 18 June was used to ascertain the seasonality effects.
We found the best estimate R0 = 1.75 (95% confidence interval (CI) 1.64 to 1.88) for the basic reproductive number. Correlation analysis allows the selection of the most probable seasonal behavior based on the observed pattern, leading to the identification of plausible scenarios for the future unfolding of the pandemic and the estimate of pandemic activity peaks in the different hemispheres. We provide estimates for the number of hospitalizations and the attack rate for the next wave as well as an extensive sensitivity analysis on the disease parameter values. We also studied the effect of systematic therapeutic use of antiviral drugs on the epidemic timeline.
The analysis shows the potential for an early epidemic peak occurring in October/November in the Northern hemisphere, likely before large-scale vaccination campaigns could be carried out. The baseline results refer to a worst-case scenario in which additional mitigation policies are not considered. We suggest that the planning of additional mitigation policies such as systematic antiviral treatments might be the key to delay the activity peak in order to restore the effectiveness of the vaccination programs.
6月11日,世界卫生组织正式将(针对新型H1N1流感毒株的)大流行警戒级别提升至6级。截至7月19日,142个不同国家已正式确诊137,232例H1N1流感毒株感染病例,目前正在对南半球正在发生的大流行进行审视,以便了解北半球下一个冬季流感季的情况。一个主要挑战是需要预估病毒的传播潜力并评估其对季节性因素的依赖性,以便能够使用能够预测大流行时空模式的数值模型。
在本研究中,我们使用了一个整合全球流动性和交通数据的全球结构化异质种群模型。该模型考虑了220个不同国家的3362个亚种群的数据以及个体在这些亚种群之间的流动性。该模型生成了全球范围内60亿个体的疫情演变的随机实现情况,从中我们可以收集每个亚种群的患病率、发病率、二代病例数以及输入病例数和日期等信息,所有这些信息的时间分辨率为1天。为了估计传播潜力和相关模型参数,我们使用了2009年新型甲型H1N1流感的时间序列数据。该方法基于对墨西哥在12个国家引发的疫情中模型生成的到达时间分布进行最大似然分析,使用了100万次计算机模拟疫情。使用了一个扩展的时间序列,包括6月18日前在全球93个国家引发的疫情,以确定季节性影响。
我们发现基本再生数的最佳估计值R0 = 1.75(95%置信区间(CI)为1.64至1.88)。相关性分析允许根据观察到的模式选择最可能的季节性行为,从而确定大流行未来发展的合理情景以及不同半球大流行活动高峰的估计值。我们提供了下一波疫情的住院人数和发病率估计值,以及对疾病参数值的广泛敏感性分析。我们还研究了系统性使用抗病毒药物对疫情时间线的影响。
分析表明,北半球可能在10月/11月出现早期疫情高峰,可能在大规模疫苗接种运动能够开展之前。基线结果指的是不考虑额外缓解政策的最坏情况。我们建议,规划额外的缓解政策,如系统性抗病毒治疗,可能是推迟活动高峰以恢复疫苗接种计划有效性的关键。