We study the influence of spatial heterogeneity on the antiviral activity of mouse embryonic fibroblasts (MEF) infected with influenza A. MEF of type $\mathit{Ube}1L^{-/-}$ are composed of two distinct sub-populations, the strong type that sustains a strong viral infection and the weak type, sustaining a weak viral load. We present new data on the virus load infection of $\mathit{Ube}1L^{-/-}$, which have been micro-printed in a checker board pattern of different sizes of the inner squares. Surprisingly, the total viral load at one day after inoculation significantly depends on the sizes of the inner squares. We explain this observation by using a reaction diffusion model and we show that mathematical homogenization can explain the observed inhomogeneities. If the individual patches are large, then the growth rate and the carrying capacity will be the arithmetic means of the patches. For finer and finer patches the average growth rate is still the arithmetic mean, however, the carrying capacity uses the harmonic mean. While fitting the PDE to the experimental data, we also predict that a discrepancy in virus load would be unobservable after only half a day. Furthermore, we predict the viral load in different inner squares that had not been measured in our experiment and the travelling distance the virions can reach after one day.

我们研究了空间异质性对感染甲型流感病毒的小鼠胚胎成纤维细胞 (MEF) 抗病毒活性的影响。 MEF 类型 $\mathit{宇部}1{升}^{——/——}$由两个不同的亚群组成，强型维持强烈的病毒感染，弱型维持弱病毒载量。我们提供了有关病毒负载感染的新数据$\mathit{宇部}1{升}^{——/——}$，它们已被微印刷成不同大小的内部方块的棋盘图案。令人惊讶的是，接种后一天的总病毒载量显着取决于内部方块的大小。我们通过使用反应扩散模型来解释这一观察结果，并表明数学同质化可以解释观察到的不均匀性。如果单个斑块较大，则生长速率和承载能力为斑块的算术平均值。对于越来越细的斑块，平均增长率仍然是算术平均值，但承载能力使用调和平均值。在将 PDE 与实验数据拟合的同时，我们还预测病毒载量的差异在仅半天后将无法观察到。此外，