Department of Physics, Ryerson University, Toronto, ON, Canada.
Autoimmunity. 2011 Jun;44(4):282-93. doi: 10.3109/08916934.2011.523267. Epub 2011 Jan 19.
Experimentation in vitro is a vital part of the process by which the clinical and epidemiological characteristics of a particular influenza virus strain are determined. We detail the considerations which must be made in designing appropriate theoretical/mathematical models of these experiments and show how modeling can increase the information output of such experiments. Starting from a traditional system of ordinary differential equations, common to infectious disease modeling, we broaden the approach by using an agent-based model, applicable to more general experimental geometries and assumptions about the biological properties of viruses, cell and their interaction. Within this framework, we explore the limits of the assumptions made by more traditional models and the conditions under which these assumptions begin to break down, requiring the use of more sophisticated models. We apply the agent-based model to experimental plaque growth of two influenza strains, one resistant to the antiviral oseltamivir, and extract the values of key infection parameters specific to each strain.
体外实验是确定特定流感病毒株临床和流行病学特征的过程中至关重要的一部分。我们详细说明了在设计这些实验的适当理论/数学模型时必须考虑的因素,并展示了建模如何增加这些实验的信息输出。从传染病建模中常见的传统常微分方程组开始,我们通过使用适用于更一般实验几何形状和病毒、细胞及其相互作用的生物学特性的基于代理的模型来拓宽方法。在这个框架内,我们探讨了更传统模型所做假设的局限性,以及这些假设开始失效的条件,需要使用更复杂的模型。我们将基于代理的模型应用于两种流感毒株的实验蚀斑生长,并提取每个毒株特有的关键感染参数的值。