论文标题
多维有限结构域中两个癌细胞表型的非局部粘附模型
Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain
论文作者
论文摘要
细胞细胞粘附是一种固有的非局部现象。最近已经提出了许多具有非局部术语的部分偏微分方程模型来描述这种现象，但是非局部粘附模型的数学特性尚不清楚。在这里，我们考虑了一种具有两种非局部细胞细胞粘附的模型，在多维界面域中满足不畅通条件。我们显示了该模型解决方案的全球时间齐全，并获得了解决方案的统一界限。
Cell-cell adhesion is an inherently nonlocal phenomenon. Numerous partial differential equation models with nonlocal term have been recently presented to describe this phenomenon, yet the mathematical properties of nonlocal adhesion model are not well understood. Here we consider a model with two kinds of nonlocal cell-cell adhesion, satisfying no-flux conditions in a multidimensional bounded domain. We show global-in-time well-posedness of the solution to this model and obtain the uniform boundedness of solution.
