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We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to…

偏微分方程分析 · 数学 2024-07-23 Rinaldo M. Colombo , Mauro Garavello

During the COVID-19 pandemic, estimating the total deaths averted by vaccination has been of great public health interest. Instead of estimating total deaths averted by vaccination among both vaccinated and unvaccinated individuals, some…

种群与进化 · 定量生物学 2025-10-09 Katherine M. Jia , Christopher B. Boyer , Alyssa Bilinski , Marc Lipsitch

Understanding vaccine effects on post-infection outcomes is critical for evaluating the full value proposition of a vaccine. However, defining appropriate causal effects on such outcomes is challenging because infection is affected by…

A full Bayesian approach to the estimation of Vaccine Efficacy is presented, which is an improvement over the currently used exact method conditional on the total number of cases. As an example, we reconsider the statistical sections of the…

统计方法学 · 统计学 2021-03-09 Mauro Gasparini

Pathogens usually exist in heterogeneous variants, like subtypes and strains. Quantifying treatment effects on the different variants is important for guiding prevention policies and treatment development. Here we ground analyses of…

应用统计 · 统计学 2024-08-15 Gellert Perenyi , Mats J. Stensrud

Background: Despite lacking scientific support, vaccine hesitancy is widespread. While vaccine damage as a scientific fact is statistically highly uncommon, emerging social and technological forces have converted probable vaccine damage…

物理与社会 · 物理学 2021-04-20 Simona Nicoleta Vulpe , Cosima Rughinis

We predict vaccine efficacy with a measure of antigenic distance between influenza A(H3N2) and candidate vaccine viruses based on amino acid substitutions in the dominant epitopes. In 2016-2017, our model predicts 19% efficacy compared to…

种群与进化 · 定量生物学 2018-04-16 Melia E. Bonomo , Michael W. Deem

The initial period of vaccination shows strong heterogeneity between countries' vaccinations rollout, both in the terms of the start of the vaccination process and in the dynamics of the number of people that are vaccinated. A predominant…

综合经济学 · 经济学 2021-03-09 Dragan Tevdovski , Petar Jolakoski , Viktor Stojkoski

We investigate how a population's natural and vaccine immunity affects the competitive balance between two strains of an infectious disease with different epidemiological characteristics. Specifically, we consider the case where one strain…

动力系统 · 数学 2023-12-27 Matthew D. Johnston , Bruce Pell , Jared Pemberton , David A. Rubel

We review standard mediation assumptions as they apply to identifying antibody effects in a randomized vaccine trial and propose new study designs to allow identification of an estimand that was previously unidentifiable. For these…

统计方法学 · 统计学 2024-06-11 Michael P. Fay , Dean A. Follmann

The response of the immune system to different vaccination patterns is studied with a simple model. It is argued that the history and characteristics of the pattern defines very different secondary immune responses in the case of infection.…

其他定量生物学 · 定量生物学 2009-11-10 P. Etchegoin

The test-negative design (TND) has become a standard approach to evaluate vaccine effectiveness against the risk of acquiring infectious diseases in real-world settings, such as Influenza, Rotavirus, Dengue fever, and more recently…

统计方法学 · 统计学 2023-03-09 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

Vaccination policies play a central role in public health interventions and models are often used to assess the effectiveness of these policies. Many vaccines are leaky, in which case the observed vaccine effectiveness depends on the force…

种群与进化 · 定量生物学 2025-04-21 Gray Manicom , Emily Harvey , Joshua Looker , David Wu , Oliver Maclaren , Dion O' Neale

We introduce a new measure of antigenic distance between influenza A vaccine and circulating strains. The measure correlates well with efficacies of the H3N2 influenza A component of the annual vaccine between 1971 and 2004, as do results…

生物大分子 · 定量生物学 2007-05-23 Vishal Gupta , David J. Earl , Michael W. Deem

The rapid outbreak of bird flu challenges the outcome of effective vaccine for the upcoming years. The recent research established different norms to eliminate flu pandemics. This can be made possible with skilled experimental analyses and…

其他定量生物学 · 定量生物学 2012-06-06 Baby Jerald , T. R. Gopalakrishnan Nair

A mathematical model of COVID-19 with minimal compartments is developed. The model is simple enough to fit data on confirmed cases, estimate the hidden infection figure and incorporate the effect of vaccination. With the effect of the new…

种群与进化 · 定量生物学 2021-03-05 Randy L. Caga-anan , Michelle N. Raza , Grace Shelda G. Labrador , Ephrime B. Metillo

The test-negative design (TND) is widely used to evaluate vaccine effectiveness in real-world settings. In a TND study, individuals with similar symptoms who seek care are tested, and effectiveness is estimated by comparing vaccination…

统计方法学 · 统计学 2025-09-19 Christopher B. Boyer , Kendrick Qijun Li , Xu Shi , Eric J. Tchetgen Tchetgen

Incorporating vaccination into mathematical models appears deceptively simple: models integrate vaccine-derived protections, such as reduced susceptibility to infection, using parameters informed by empirical estimates of vaccine efficacy…

种群与进化 · 定量生物学 2026-05-19 Casey E. Middleton , Oliver Eales , James M. McCaw , Freya M. Shearer

This study aims to statistically assess the effectiveness of vaccination against SARS-CoV-2. It is indispensable to investigate the relationship between Covid-19 deadliness and vaccination in order to study the impact of vaccine in…

定量方法 · 定量生物学 2022-02-04 MD. Rayhan , M. Abdullah-Al-Wadud , M. Helal Uddin Ahmed

Traditional measures of vaccine efficacy (VE) are inherently asymmetric, constrained above by $1$ but unbounded below. As a result, VE estimates and corresponding confidence intervals can extend far below zero, making interpretation…

统计方法学 · 统计学 2025-12-09 Lucy D'Agostino McGowan , Sarah C. Lotspeich , Michael G. Hudgens