Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scaling hypothesis, we derive from the microscopic model a macroscopic one and we analyze it. In particular, we determine the range of parameters for which segregation is expected. We compare our analytical results and numerical simulations of the macroscopic model to direct simulations of the particles, and comment on possible links with experiments.

中文翻译：

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通过微分斥力建模模式

受细胞分离实验的启发，我们提出了一种相互作用颗粒的两种模型，旨在定量描述这种现象。在精确的缩放假设下，我们从微观模型中得出宏观模型并对其进行分析。特别是，我们确定了预期隔离的参数范围。我们将宏观模型的分析结果和数值模拟进行比较，以对粒子进行直接模拟，并评论与实验的可能联系。