Supervisors
- Position
- Professor in Mathematics
- Division / Faculty
- Faculty of Science
- Position
- Senior Lecturer
- Division / Faculty
- Faculty of Science
Overview
Neural networks are a modern method for machines to learn informative mappings from input data to output data. Physics-informed neural networks supplement the traditional neural network architecture with structure or constraints derived from physical principles. This is known to greatly improve the rate and quality of learning when such physical knowledge is available. In the case of diffusion MRI, the physics knowledge comes in the form of model equations describing the physical process of diffusion. The objective of this project is to develop improved methods of deriving clinically-relevant parameters such as diffusivity from MRI data using physics-informed neural networks.
Research engagement
Literature review
Mathematical analysis
Computation and simulation
Analysing experimental data
Machine learning
Research activities
Review the mathematical and physical background of diffusion MRI
Review the principles of physics-informed neural networks
Generate simulated MRI data for training and testing purposes
Design and train physics informed neural networks using real and simulated data
Analyse the efficiency and accuracy of physics informed neural networks at extracting diffusion information from MRI data
Outcomes
The outcomes will be new physics informed neural network approaches for extracting diffusion data from MRI scans
Skills and experience
Coding experience in MATLAB, Julia, Python, or similar is required
A background in mathematics covering first-year calculus and linear algebra
No prior experience with neural networks or machine learning is required
With higher mathematical background, especially partial differential equations, the project can be tailored to use this.
Start date
1 November, 2024End date
1 February, 2025Location
QUT Gardens Point
Additional information
Extensive resources and assistance with the mathematical, simulation, and coding aspects will be provided.
Keywords
Contact
Tim Moroney t.moroney@qut.edu.au