Mathematical models of cell migration in three-dimensional living tissues

该项目旨在开发细胞在拥挤的活组织中迁移的数学模型。现有的模型完全依赖于随机模拟，因此没有提供关于拥挤环境的属性(障碍物的形状、大小、密度)如何影响细胞在该环境中迁移的一般数学见解。这个项目将产生数学分析、数学计算和精确的分析工具，量化三维活组织中拥挤的环境如何影响这些组织内细胞的迁移。长期的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.