Centre for Health Economics Research and Modeling Infectious Diseases (CHERMID), Vaccine and Infectious Disease Institute (VAXINFECTIO), University of Antwerp, Antwerp, Belgium.
Antwerp Unit for Data Analysis and Computation in Immunology and Sequencing (AUDACIS), University of Antwerp, Antwerp, Belgium.
Front Immunol. 2023 Feb 16;14:1104605. doi: 10.3389/fimmu.2023.1104605. eCollection 2023.
Studying antibody dynamics following re-exposure to infection and/or vaccination is crucial for a better understanding of fundamental immunological processes, vaccine development, and health policy research.
We adopted a nonlinear mixed modeling approach based on ordinary differential equations (ODE) to characterize varicella-zoster virus specific antibody dynamics during and after clinical herpes zoster. Our ODEs models convert underlying immunological processes into mathematical formulations, allowing for testable data analysis. In order to cope with inter- and intra-individual variability, mixed models include population-averaged parameters (fixed effects) and individual-specific parameters (random effects). We explored the use of various ODE-based nonlinear mixed models to describe longitudinally collected markers of immunological response in 61 herpes zoster patients.
Starting from a general formulation of such models, we study different plausible processes underlying observed antibody titer concentrations over time, including various individual-specific parameters. Among the converged models, the best fitting and most parsimonious model implies that once Varicella-zoster virus (VZV) reactivation is clinically apparent (i.e., Herpes-zoster (HZ) can be diagnosed), short-living and long-living antibody secreting cells (SASC and LASC, respectively) will not expand anymore. Additionally, we investigated the relationship between age and viral load on SASC using a covariate model to gain a deeper understanding of the population's characteristics.
The results of this study provide crucial and unique insights that can aid in improving our understanding of VZV antibody dynamics and in making more accurate projections regarding the potential impact of vaccines.
研究再次接触感染和/或接种疫苗后抗体的动态变化对于更好地理解基本免疫过程、疫苗开发和健康政策研究至关重要。
我们采用基于常微分方程(ODE)的非线性混合建模方法来描述临床带状疱疹后水痘带状疱疹病毒特异性抗体的动态变化。我们的 ODE 模型将基础免疫学过程转化为数学公式,允许进行可测试的数据分析。为了应对个体间和个体内的变异性,混合模型包括群体平均参数(固定效应)和个体特定参数(随机效应)。我们探索了使用各种基于 ODE 的非线性混合模型来描述 61 例带状疱疹患者的免疫反应纵向采集标志物。
从这些模型的一般公式出发,我们研究了观察到的抗体滴度浓度随时间变化的不同可能的过程,包括各种个体特定的参数。在收敛模型中,拟合度最好且最简约的模型表明,一旦水痘带状疱疹病毒(VZV)重新激活(即带状疱疹(HZ)可以诊断),短期和长期产生抗体的细胞(分别为 SASC 和 LASC)将不再扩增。此外,我们使用协变量模型研究了年龄与 SASC 病毒载量之间的关系,以更深入地了解人群的特征。
本研究的结果提供了至关重要和独特的见解,有助于我们更好地理解 VZV 抗体动态,并更准确地预测疫苗的潜在影响。