Fiona Macfarlane: Individual based and continuum models of growing cell populations
Channel: NorthWestBiomathsDataScienceSeminars
Date: 2021-11-09

North West Seminar Series of Mathematical Biology and Data Science 

Wednesday, 3rd November 2021 (hosted by Bakhti Vasiev) 

https://www.cms.livjm.ac.uk/APMSeminar/

Abstract:
Stochastic individual-based modelling approaches allow for the description of single cells in a biological system. These models generally include rules that each cell follows independently of other cells in the population. Various mechanisms and biological phenomena can be described using these simplistic mathematical models. We have developed a range of simple IB models that describe biological systems in the context of pattern formation. From these models we have derived the continuum limits from the underlying random walk, providing a deterministic PDE description of these processes. Ultimately, the results illustrate how the simple rules governing the dynamics of single cells in an individual-based model can lead to the emergence of complex spatial patterns of population growth observed in continuum models.