New mathematical techniques for modelling collective biological cell proliferation

Mathematical models of biological cell proliferation typically use a rate method, where each cell has a reproduction probability that does not depend on its history. Real cells, however, proliferation as part of a cycle, and newly divided cells cannot instantaneously divide again. This project constructs an alternative mathematical model for cell proliferation, and investigates the differences between the new, more realistic, model and the standard model typically used. This will allow researchers to choose an appropriate model for their work: the less computationally intensive standard model if it is sufficiently accurate, or the new model where the standard model fails.