Mathematics to underpin and drive novel inertial microfluidic technologies

悬浮在微流体管道中的颗粒在惯性和阻力的作用下迁移到横截面上的不同区域，这取决于颗粒大小、管道几何形状和控制参数，从而能够从血液/水样中分离例如癌细胞/微塑料。设备设计需要能够理解粒子动力学的数学模型，以及用于确定几何和控制参数的工具。粒子边界条件强烈影响驱动粒子运动的惯性升力和阻力。该项目将开发这些适用于被动粒子和主动粒子的边界条件的数学工具，从而推动现有和新应用的新设备的开发。

Particles suspended in flow through microfluidic ducts migrate under inertial and drag forcing to different regions in the cross-section depending on particle size, duct geometry and control parameters, enabling isolation of, for example, cancer cells/microplastics from a blood/water sample. Device design needs mathematical models yielding understanding of the particle dynamics, and tools for determining geometry and control parameters. Particle boundary conditions strongly influence the inertial lift and drag forces that drive particle motion. This project will develop these mathematical tools for boundary conditions applicable to both passive and active particles, so driving development of novel devices for existing and new applications.