Discovery Projects - Grant ID: DP220101817

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220101817

Funding Status
Active

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Funded Activity Summary

A coordinate-independent theory for multi-time-scale dynamical systems. Biochemical reaction networks operate inherently on many disparate timescales, and identifying this temporal hierarchy is key to understanding biological behaviour. Currently, the existing dynamical systems theory is not able to rigorously analyse many important biological systems and networks due to this inherent non-standard multi-time-scale splitting. This project aims to remove these stumbling blocks and develop a coordinate-independent mathematical theory that weaves together results from geometric singular perturbation theory, differential and algebraic geometry and reaction network theory to decompose and explain the structure in the dynamic hierarchy of events in non-standard multi-time-scale systems and networks.

Funded Activity Details

Start Date: 21-03-2022

End Date: 20-03-2025

Funding Scheme: Discovery Projects

Funding Amount: $432,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Dynamical Systems in Applications | Applied Mathematics | Reaction Kinetics and Dynamics | Ordinary Differential Equations, Difference Equations and Dynamical Systems |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Chemical Sciences | Expanding Knowledge in the Biological Sciences | Expanding Knowledge in the Mathematical Sciences

Other Keywords

Applied Mathematics | Dynamical Systems in Applications | Expanding Knowledge in the Biological Sciences | Expanding Knowledge in the Chemical Sciences | Expanding Knowledge in the Mathematical Sciences | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Reaction Kinetics and Dynamics

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