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 42 matching student topics
Displaying 25–36 of 42 results
Playing Tetris with Australian threatened species
Many of Australia's threatened species can only avoid extinction if we keep them on islands or behind fences, where foxes and cats can't kill them all. We call these places "safe havens".Some species can only exist in some safe havens. Maybe they need particular habitats, or particular temperatures, and these can't be found everywhere.Some pairs of species can't live together. Maybe one is a predator of another. Maybe they fight too much.So, we need to find a way to put …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
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Centre for the Environment
Optimisation of piezoelectric materials for robotics applications
Piezoelectricity, which translates to “pressure electricity”, is the phenomenon in which certain materials convert mechanical energy to electrical energy, and vice versa. Such materials are common-place and are used in a variety of applications including sensor, actuator, and energy harvesting technologies. The capabilities of such piezoelectric materials have not yet been fully realised. We plan to use computational structural optimisation to design new piezoelectric materials and components that may contribute to novel sensing technologies for robotics applications. Essentially, robots need …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Conservation is a noisy business: modelling the effects of stochasticity on wildlife management decisions
To conserve species in disturbed natural environments, we need to use mathematical models to predict the consequences of different interventions. Unfortunately, these models are based on partial information of complex systems, and the systems themselves are subject to substantial observational and process noise.We often use ordinary differential equations to describe ecosystems, like the classic logistic growth model:dn/dt = r n (1 - n / k)However, these models are deterministic, and they assume we know the values of the key parameters …
- Study level
- Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Data Science
Centre for the Environment
Computational methods for multi-scale structural optimisation
Structural optimisation is a powerful computational methodology for finding high-performing designs for structural components or material architectures. For example, what periodic scaffold would provide the highest possible stiffness for its weight?Solving such a problem computationally requires an understanding of the relevant equations required to model the physical properties of interest, as well as efficient implementation of a range of numerical methods including finite elements, finite differences and optimisation.With recent developments in 3D printing technologies it is now becoming possible to …
- Study level
- PhD, Master of Philosophy, Honours
- 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
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Understanding international governance in Antarctica through cooperative game theory
Antarctica is governed by a coalition of 29 countries ('consultative parties') who must agree unanimously before a law can be passed. This project will apply theories from social network analysis and cooperative game theory to map relationships between the different parties, and to predict their behaviour on a series of important environmental issues.
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
-
Centre for the Environment
Using catastrophe theory to prepare for global warming in Antarctica
According to dynamical systems theory, crises occur because couplings within a system (geophysical, ecological and social) create instabilities. Nonlinear feedbacks means that relatively small changes in circumstances can cause a rapid change to the system state. For example, a small increase in tourism visitors could lead to the invasion of a new species. Or, a gradual change in the average global temperature could lead to the collapse of Antarctic ice-shelves.In the coming decade, the Antarctic and sub-Antarctic are likely to …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
-
Centre for the Environment
Design, derivation, and implementation of mesh-free finite volume solvers based on 3D unit cell morphology to estimate biomass particle effective parameters
The aim of this PhD project is to use lignocellulosic morphological features extracted from high resolution micro-CT images of biomass particles undergoing a dilute acid pretreatment process to perform computational homogenisation over representative unit cell configurations. Mesh-free finite volume solvers will be developed based on 3D point cloud data sets to estimate virtual biomass particle effective parameters, such as diffusivity, thermal conductivity, and permeability. The simulation results will be analysed to provide a fundamental understanding of the impact that changes …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Moving boundary problems in mathematical biology
Invasion of biological cells or ecological populations involves moving fronts that invade into previously unoccupied regions of space. Such moving fronts are driven by a combination of motility, such as random diffusion, and proliferation, such as logistic growth. Understanding how best to model such invasive fronts is important as moving fronts of cells are associated with wound healing and cancer progression and moving fronts in ecology are associated with the spreading of weeds and invasive species.Previously both continuum and discrete …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
Emergence of curvature-dependent growth in mathematical models of tissue invasion
The growth of biological tissues in 3D-printed scaffold pores occurs under strong geometric controls depending on the shape and size of the pores. How this control emerges from the interaction between spatial constraints and biological processes such as cell migration and cell proliferation remains largely unknown. Existing phenomenological models of tissue growth hypothesise growth laws which directly involve curvature without considering cellular mechanisms.Recently, a reaction–diffusion mathematical model of tissue growth in porous scaffolds was proposed to investigate cell-level behaviour using …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Biomedical Technologies
Mean exit time calculations in complicated geometries
Calculating the duration of time required for a diffusive process to end is a classical problem in mathematics, engineering, biology and economics. The concept of mean exit time is widely used to study transport phenomena in biology, such as calculating the duration of time required for a protein created in a cell nucleus to reach the cell membrane. While many exact calculations of mean exit time are known for simple geometries and homogeneous media, exact solutions are rare for complicated …
- Study level
- Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
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
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Data Science
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