Modelling biological and social systems using 'equation-free' methods Seminar

So-called 'equation-free' methods can be used to analyse time-dependent systems where the governing equations are not known explicitly: for example, complicated individual-based simulations. Equation-free methods are often used to perform bifurcation analysis of stochastic systems defined through 'black-box' code. I will describe two examples: bacterial two-component system signalling and consumer lock-in. In the first case, equation-free methods reveal the essential stochastic nature of an observed mixed signalling mode, and in the second we introduce weighting to reduce noise in the method and so increase its efficiency and accuracy. (There will actually be quite a lot of equations.)