Event Details

MARS (Mathematics for AI in Real-world Systems) seminar series Speaker: Alice Peng (Lancaster) Title: Agent-based modelling for cell-tissue interaction: applications and upscaling to continuum-based model

Abstract:

In this talk, I will give an overview of my research.

Agent-based model is widely used in mathematical biology, in which every single cell is treated separately as an individual to track the precise location and cellular activities. In my research, I use centre-based model to describe the wound contraction in burn injuries and vertex-based model to study the cell shape evolution in cancer cell metastasis in a flexible micro-channel. Both models have been validated qualitatively.

Meanwhile, a major portion of my research is regarding upscaling the agent-based model to continuum-based model utilizing Dirac delta distributions, particularly in linear elasticity model for cellular forces and in diffusion equation for compounds spreading over the domain. We did not only propose the approximated model but also studied the convergence between the models at different scales.