Parameter inference in dynamical systems with co-dimension 1 bifurcations
Elisabeth Roesch, Michael PH Stumpf
Royal Society Open Science | ROYAL SOC | Published : 2019
Dynamical systems with intricate behaviour are all-pervasive in biology. Many of the most interesting biological processes indicate the presence of bifurcations, i.e. phenomena where a small change in a system parameter causes qualitatively different behaviour. Bifurcation theory has become a rich field of research in its own right and evaluating the bifurcation behaviour of a given dynamical system can be challenging. An even greater challenge, however, is to learn the bifurcation structure of dynamical systems from data, where the precise model structure is not known. Here, we study one aspects of this problem: the practical implications that the presence of bifurcations has on our ability..View full abstract
Awarded by Volkswagen Foundation
E.R. acknowledges financial support through a University of Melbourne PhD scholarship; M.P.H.S. acknowledges funding from the University of Melbourne DVCR Fund, and the Volkswagen Foundation (A122656).