Signalling pathways can be modelled as a biochemical reaction network. When the kinetics are to follow mass-action kinetics, the resulting

mathematical model is a polynomial dynamical system. I will overview approaches to analyse these models with steady-state data using

computational algebraic geometry and statistics. Then I will present how to analyse such models with time-course data using differential

algebra and geometry for model identifiability. Finally, I will present how topological data analysis can be help distinguish models

and data.

**Date**: 13 November 2020, 14:00 (Friday, 5th week, Michaelmas 2020)**Venue**: Mathematical Institute

Woodstock Road OX2 6GGSee location on maps.ox**Details**: Virtual**Speaker**: Heather Harrington (University of Oxford)**Organising department**: Mathematical Institute**Organiser**: Sara Jolliffe (University of Oxford)**Organiser contact email address**: sara.jolliffe@maths.ox.ac.uk**Host**: Philip Maini (University of Oxford)**Part of**: Mathematical Biology and Ecology**Booking required?**: Not required**Audience**: Members of the University only- Editor: Sara Jolliffe