QUT offers a diverse range of student topics for Honours, Masters and PhD study. Search to find a topic that interests you or propose your own research topic to a prospective QUT supervisor. You may also ask a prospective supervisor to help you identify or refine a research topic.
Found 9 matching student topics
Displaying 1–9 of 9 results
Forecasting disease spread risk based on human movement patterns
This project aims to forecast the risk of infectious disease spread, such as COVID-19 and dengue, based on human movement patterns. We'll use multiple data sources that describe people movement in order to understand individual and population level mobility patterns, and use empirical disease case data to model the effect of movement on the spread of disease.
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Computer Science
Diffusion and first passage times in random media
Diffusion in homogenous environments is relatively well understood, but the problem becomes more complicated in complex environments - such as wood tissue, cells, filters and catalysts. At QUT there is extensive expertise in using advanced numerical methods to model diffusions and first passage times in complex environments.The ability to combine this expertise with realistic models of random media based on level-sets of Gaussian random field.
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Mathematical and computational techniques for advection diffusion reaction models
Mathematical models of advection diffusion reaction processes are fundamental to many applied disciplines including physics, biology, ecology and medicine. This project will focus on developing mathematical and computational techniques for continuum (PDE) and/or stochastic (random walk) models of advection diffusion reaction.Potential project topics include:building new simplified models that are easier to implement, interpret and analyseextracting new mathematical insights into advection diffusion reaction processesproposing new methods for parameterising models from datadeveloping new numerical and/or analytical methods for solving PDE models.All project …
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Mathematical and computational models for diffusion magnetic resonance imaging (dMRI)
In 1985, the first image of water diffusion in the living human brain came to life. Since then significant developments have been made and diffusion magnetic resonance imaging (dMRI) has become a pillar of modern neuroimaging.Over the last decade, combining computational modelling and diffusion MRI has enabled researchers to link millimetre scale diffusion MRI measures with microscale tissue properties, to infer microstructure information, such as diffusion anisotropy in white matter, axon diameters, axon density, intra/extra-cellular volume fractions, and fibre orientation …
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Data Science
Centre for Biomedical Technologies
Mathematical tools for stochastic and continuum transport models
Mathematical models of particle transport are fundamental to many applied disciplines including physics, biology, ecology and medicine. Particle transport is typically modelled using either a stochastic model, where probability rules govern the motion of individual particles, or a continuum model, where partial differential equations govern the concentration of particles in space and time. This project aims to use analytical and numerical techniques from applied and computational mathematics to address one or both of the following questions:what is the average time …
- Study level
- Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Exact and approximate solutions of diffusion on evolving domains
Classical applications of mathematical analysis involve solving partial differential equation models on fixed domains, e.g. 0 < x < L. Applications in biology, however, involve studying diffusive transport on rapidly evolving domains, e.g. 0 < x < L(t), where L(t) represents the length of the evolving tissue. While many problems have been addressed for the case where L(t) increases, less attention has been paid to cases where we consider diffusion on an oscillating domain.In this project we will construct exact …
- Study level
- Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Molecular simulation of rotational diffusion in ideal liquids
Rotational tumbling of molecules in a liquid is an important phenomenon in Magnetic Resonance Imaging (MRI) because it determines the spin-relaxation rates of the resident nuclei which can determine MRI contrast.For a relatively simple molecular process, the theoretical description of rotational motion of molecules in liquids remains controversial. The most commonly used model, the Debye model, assumes that:the rotational diffusion propagator of a tumbling molecule is a solution of the diffusion equation on a spherical surfacethis solution is described by …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Chemistry and Physics
- Research centre(s)
- Centre for Materials Science
First passage time for diffusion
Mathematical models describing diffusive transport of mass and energy are essential to our understanding of many problems in engineering, physics, biology and chemistry.Classical analysis of mathematical models that describe diffusive transport focus on diffusion in simple geometries, such as lines, discs and spheres composed of homogeneous materials. In contrast, specific applications of diffusive transport theory in more complicated geometries are often explored computationally. This can include geometries with heterogeneous materials.While computational approaches are necessary in certain circumstances, analytical insight is …
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Data Science
Curvature dependence of reaction-diffusion wave front speed with nonlinear diffusion.
Reaction-diffusion waves describe the progression in space of wildfires, species invasions, epidemic spread, and biological tissue growth. When diffusion is linear, these waves are known to advance at a rate that strongly depends on the curvature of the wave fronts. How nonlinear diffusion affects the curvature dependence of the progression rate of these wavefronts remains unknown.
- Study level
- PhD, Master of Philosophy, Honours, Vacation research experience scheme
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Biomedical Technologies
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