BioMaths Colloquium Series - 2016/17
24 February 2017 - 3pm Maths Seminar Room
(room 224 Talbot Building 2nd floor)
From discrete to continuum models of a multi-cellular system
More recently, discrete cell-based models have been used to study multicellular systems. Amongst their advantages are that they are conceptually easy to communicate and can naturally accommodate features such as heterogeneity and stochasticity. As these (typically N-body) problems are solved using brute force approaches, it can be difficult to gain qualitative insight from the computed solutions.
In this talk I will describe how to take the continuum limit of a particular family of discrete cell-based models. By performing a travelling wave analysis on the resultant equations, I will describe interesting features of the underlying simulations and show how they can be qualitatively related to the model parameters.
The discussions will continue over biscuits and tea/coffee after the seminar.
Hope to see many of you!