TITLE: “Asymptotic-Numerical Method For Cell Focusing in Microfluidic Channel.”
ABSTRACT: Inertial microfluidic devices use inertial lift forces to organize the spacing and positions of cells carried by flow. A hybrid asymptotic-numerical method is presented that can calculate the migration velocities of cells in a channel by representing them as a combination singularities and discontinuities. Refinements to asymptotic analysis are given that improve the regularity of the PDE solution, increasing the order of convergence for polynomial based numerical solvers.