Discovery Projects - Grant ID: DP0345572

Funding Activity

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Funded Activity Summary

Diffusion driven pattern formation and signal propagation in spatially complex excitable media. A basic understanding of the mechanisms for pattern formation, from the spots on leopards to electrical signalling of neurons, has been achieved through reaction-diffusion equations. However to obtain a complete understanding, which is vital for many applications, it is necessary to modify this mathematical model to incorporate spatial complexities in the underlying media. This project will develop a fractional calculus framework for pattern formation, including signal propagation, in spatially complex and excitable media. In a particular application we will model the way in which the signalling properties of neurons depend critically on their spatial complexity.

Funded Activity Details

Start Date: 01-02-2003

End Date: 30-06-2006

Funding Scheme: Discovery Projects

Funding Amount: $185,000.00

Funder: Australian Research Council