Discovery Projects - Grant ID: DP180103022

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180103022

Funding Status
Closed

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Funded Activity Summary

A geometric theory for non-standard relaxation oscillators. This project aims to develop new geometric methods for the analysis of multi-scale models of biological rhythms, and design diagnostic tools to identify key parameters that cause and control these signals. Rhythms, such as breathing, neural and cardiac rhythms and pulsatile hormone secretion, are central for life. Many important biochemical cell signals exhibiting relaxation-type behaviour cannot be rigorously analysed with standard dynamical systems tools due to an inherent non-uniform time-scale splitting in these models. This project aims to develop a unified mathematical theory that weaves together results from geometric singular perturbation theory and algebraic geometry to explain the genesis of complex rhythms and patterns in biological, non-standard, multi-scale systems, both at individual and network level.

Funded Activity Details

Start Date: 01-01-2018

End Date: 31-10-2021

Funding Scheme: Discovery Projects

Funding Amount: $401,706.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Biological Mathematics | Dynamical Systems in Applications | Applied Mathematics | Ordinary Differential Equations, Difference Equations and Dynamical Systems |

ANZSRC Socio-Economic Objective (SEO)

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

Other Keywords

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

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