论文标题

关于空间效应在疾病传染性早期估计中的作用:第二次量化方法

On the Role of Spatial Effects in Early Estimates of Disease Infectiousness: A Second Quantization Approach

论文作者

Mielke, Adam

论文摘要

随着COVID-19的大流行仍在进行中,并且可用的大量测试数据,在过去两年中所学到的经验教训需要开发到可以为解决新的变种和未来疾病提供理解的地步。通常用于模拟疾病扩散的SIR模型,可以预测指数的初始生长,这有助于在爆发的早期建立疾病的传染性。不幸的是,在现实系统中,空间,有限大小和非平衡效应使指数增长变得混乱,并且仍然缺乏预测和描述中可能使用的可靠估计值。我在这里建立了一个允许任意复杂的空间行为的第二个量化框架,我表明,该模型的简化版本与丹麦不同COVID-19变体的增长以及分支聚合物理论的分析结果非常吻合。丹麦非常适合比较,因为2021年12月上旬具有变体信息的测试数量非常高,因此可以遵循单个变体的传播。我希望这种模型能够在流行性建模和固态社区之间建造桥梁。本文中特定分析的长期目标是建立先验,从而可以更好地估计新疾病的传染性。

With the covid-19 pandemic still ongoing and an enormous amount of test data available, the lessons learned over the last two years need to be developed to a point where they can provide understanding for tackling new variants and future diseases. The SIR-model commonly used to model disease spread, predicts exponential initial growth, which helps establish the infectiousness of a disease in the early days of an outbreak. Unfortunately, the exponential growth becomes muddied by spatial, finite-size, and non-equilibrium effects in realistic systems, and robust estimates that may be used in prediction and description are still lacking. I here establish a second quantization framework that allows introduction of arbitrarily complicated spatial behavior, and I show that a simplified version of this model is in good agreement with both the growth of different covid-19 variants in Denmark and analytical results from the theory of branched polymers. Denmark is well-suited for comparison, because the number of tests with variant information in early December 2021 is very high, so the spread of a single variant can be followed. I expect this model to build bridges between the epidemic modeling and solid state communities. The long-term goal of the particular analysis in this paper is to establish priors that allow better early estimates for the infectiousness of a new disease.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源