Risk Factor Analysis and Dynamic Response for Epidemics in Heterogeneous Populations

在当今高度互联的世界中，预防、预测和控制流行病对全球健康、经济生产力和地缘政治稳定至关重要。过去二十年的多次传染病暴发证明了建立流行病学模型的必要性。他们还揭示了现有科学技术在准确预测流行病动态和制定有效控制战略方面的不足。该项目将建立一种新的有效的模拟方法，使评估罕见但影响重大的事件成为可能。它将被用来确定与病毒传播相互作用的结构有关的决定性风险因素，这些相互作用可以促进大规模疫情爆发。一个有充分记录的例子是在新冠肺炎大流行中发挥重要作用的超级传播事件。调查将集中在类似新冠肺炎和艾滋病毒的疾病模型上，作为典型病例。对流行病学过程的理解和模型将被用来设计和分析有效的预防策略，目的是为公众和卫生政策决策者提供更可靠的指导，拯救生命和资源。传统上，传染病的动态研究是基于确定性的分区模型，其中人口被分成大组，并使用关于组大小的确定性微分方程来研究疾病动力学。经典的例子是确定性的SIR和SIS模型。这是对现实的强烈简化，在很大程度上忽视了整个人群接触模式和生物医学相关属性的异质性以及感染过程的随机性质。两者都对疫情暴发早期阶段的动态产生决定性影响，需要结合起来才能做出可靠的预测。马尔可夫链蒙特卡罗方法可以采样更真实的基于主体的随机动态，但不能有效地评估导致罕见结果事件的前提条件。该项目将通过一种新的数值技术来解决这一挑战，该技术使人们能够在适当的约束下有效地对现实模型的重要但罕见的流行病轨迹进行采样。这项研究将重新引起人们对罕见事件在大规模疫情发生中的关键作用的关注，包括接触网络中瓶颈的组合和疾病动力学的随机性质。基于新方法的风险因素分析将为疾病传播中的前沿问题提供答案，这些问题涉及暴发前提条件、信息流和控制战略。这一方法将为预防和控制流行病的研究开辟新的途径。该项目由数学和物理科学局(MPS)的数学科学部(DMS)的数学生物学项目和社会、行为和经济科学局(SBE)的行为和认知科学部(BCS)的人类网络和数据科学项目(HNDS)共同资助。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

In today's highly connected world, the prevention, prediction, and control of epidemics is of paramount importance for global health, economic productivity, and geopolitical stability. Numerous infectious disease outbreaks over the past two decades have demonstrated the need for epidemiological modeling. They also revealed shortcomings of existing scientific techniques to accurately predict epidemic dynamics and to devise effective control strategies. This project will establish a new efficient simulation method that makes it possible to assess rare but highly consequential events. It will be used to identify decisive risk factors concerning the fabric of virus-spreading interactions that can facilitate large epidemic outbreaks. A well-documented example are superspreading events that played an important role in the COVID-19 pandemic. The investigations will be focused on models for diseases similar to COVID-19 and HIV as archetypal cases. The improved understanding and models of epidemiological processes will be used to devise and analyze efficient preventive strategies with the goal of providing more reliable guidance for the general public and health-policy decision makers, saving lives and resources.Traditionally, the dynamics of infectious diseases are studied on the basis of deterministic compartmental models, where the population is divided into large groups, and deterministic differential equations for the group sizes are employed to investigate disease dynamics. Classical examples are the deterministic SIR and SIS models. This is a strong simplification of reality that ignores to a large extent the heterogeneity in contact patterns and biomedically relevant attributes across the population as well as the stochastic nature of infection processes. Both have a decisive impact on the dynamics at the early stages of epidemic outbreaks and need to be incorporated to enable reliable predictions. Markov-chain Monte Carlo methods can sample more realistic stochastic agent-based dynamics, but cannot efficiently assess the preconditions leading to rare consequential events. The project will address this challenge with a new numerical technique that allows one to efficiently sample important but rare epidemic trajectories of realistic models under suitable constraints. The research will renew attention on the crucial role of rare events in the genesis of large outbreaks, including combinations of bottlenecks in contact networks and the stochastic nature of the disease dynamics. Risk-factor analysis based on the new method will provide answers to cutting-edge questions in disease diffusion concerning outbreak preconditions, information flow, and control strategies. This approach will open new avenues for research on the prevention and control of epidemics.This project is jointly funded by the Mathematical Biology program of the Division of Mathematical Sciences (DMS) in the Directorate for Mathematical and Physical Sciences (MPS) and the Human Networks and Data Science program (HNDS) of the Division of Behavioral and Cognitive Sciences (BCS) in the Directorate for Social, Behavioral and Economic Sciences (SBE).This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.