论文标题
多种组织生长的粘性模型：不可压缩的极限和定性行为
Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour
论文作者
论文摘要
我们介绍了两个接触中两个粘性组织的演变的2D机械模型。它们的主要特性是在脊椎动物胚胎伸长期间观察到的，同时对旋转细胞运动进行建模，同时保持组织的隔离。在这两个模型中，隔离的编码不同：通过被动或主动隔离（基于机械排斥压）。我们计算两个模型的不可压缩极限，并获得严格隔离的解决方案。比较了这样获得的两个模型。主动隔离模型中的一个惊人特征是限制压力压力的持久性：讨论并面对生物学数据的幽灵效应。得益于不可压缩极限的传输问题提出，我们在组织的边界处显示了压力跳跃。
We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissues segregated, as observed during vertebrate embryo elongation. Segregation is encoded differently in the two models: by passive or active segregation (based on a mechanical repulsion pressure). We compute the incompressible limits of the two models, and obtain strictly segregated solutions. The two models thus obtained are compared. A striking feature in the active segregation model is the persistence of the repulsion pressure at the limit: a ghost effect is discussed and confronted to the biological data. Thanks to a transmission problem formulation at the incompressible limit, we show a pressure jump at the tissues' boundaries.
