| Contents |
| Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation (PDE) models of extracellular chemical signals. I will discuss travelling wave properties of hybrid models of bacterial chemotaxis. Bacteria are modelled using an agent-based (individual-based) approach with internal dynamics describing signal transduction. In addition to the chemotactic behaviour of the bacteria, the individual-based model also includes cell proliferation and death. Cells consume the extracellular nutrient field (chemoattractant) which is modelled using a PDE. Mesoscopic and macroscopic equations representing the behaviour of the hybrid model are derived and the existence of travelling wave solutions for these models is established. |
|