In our current project we mathematically model and simulate deposition and erosion of colloidal particles in packings of glass beads. In a collaboration with the Datta lab in Princeton, we aim to understand what leads to different deposition regimes in these porous media.
How does clogging progress in microfluidic devices with grid-like geometry, such as those that sort cells based on their deformability? In this project, we develop a simple mathematical model for clogging in these devices. We hope to further understand the role of network topology and to apply similar simple models to more complex microfluidic structures.