Mathematical models of cell migration in three-dimensional living tissues

该项目旨在开发拥挤的活组织中细胞迁移的数学模型。现有的模型仅依赖于随机模拟，因此没有提供一般的数学洞察力如何拥挤的环境（障碍物的形状，大小，密度）的属性影响细胞通过该环境的迁移。该项目将产生数学分析，数学计算和精确的分析工具，量化三维活组织中的拥挤环境如何影响这些组织中细胞的迁移。长期影响将是将这种新的数学知识转化为生命科学研究人员的决策支持工具。

This project aims to develop mathematical models of cell migration in crowded, living tissues. Existing models rely solely on stochastic simulations, and therefore provide no general mathematical insight into how properties of the crowding environment (obstacle shape, size, density) affect the migration of cells through that environment. This project will produce mathematical analysis, mathematical calculations and exact analytical tools that quantify how the crowding environment in three-dimensional living tissues affects the migration of cells within these tissues. Long term effects will be the translation of this new mathematical knowledge into decision support tools for researchers from the life sciences.