Challenges in parameterising mathematical models of cell migration and cell proliferation (MCB)
In this presentation I will give an overview of some of the challenges we face when attempting to quantitatively calibrate mathematical models of cell migration and cell proliferation to match experimental data. Two different experimental scenarios will be considered. First, we will deal with very simple observations of cell migration and cell proliferation on a two-dimensional substrate, called a cell proliferation assay. I will present an off-lattice model of cell migration, cell proliferation and crowding effects, and explore how to parameterise the computational model using approximate Bayesian computation. Second, we will deal with a much more complicated experimental situation where we observe three-dimensional spreading and invasion of malignant melanoma cells within human tissues, called a human melanoma skin equivalent assay. I will present a typical continuum model of cell invasion and explain how to use a Bayesian learning approach, with an exact likelihood, to calibrate the model. In both example problems there are no accepted protocols for connecting mathematical models with experimental data. Therefore, both approaches I present are novel, and I hope that the presentation will stimulate discussion about how these methods can be improved and adapted to other situations.
Professor Mat Simpson, Queensland University of Technology (QUT)