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Recreating porous geometries from micro CT scan data

The aim of this research is to determine the virtual morphology of a heterogeneous porous medium from a micro computed tomography (micro-CT) scanner dataset.We'll use the 3D imaging facilities at QUT's Institute of Future Environments (IFE) for data capture.

Study level
Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Monte Carlo modelling in radiotherapy

Various research projects are available in the use of monte-carlo techniques in radiotherapy and medical imaging. These include:modelling radiotherapy linear acceleratorspatient dosimetric verification andin-vivo treatment verificationradiobiology and micro-dosimetry.Some of the widely available monte-carlo codes are used in our research group including TOPAS, EGSnrc, and PRIMO.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Chemistry and Physics
Research centre(s)

Optimising long-term management strategies for ecosystem conservation

Many ecosystems around the world can't withstand the stress of climate change with their decline being rapid and ongoing. New technologies must be developed to conserve these threatened ecosystems. This need poses a new mathematical challenge, as no methods exist to select and develop new conservation technologies that will secure ecosystems into the future.Technology development usually has two phases:choosing what technologies to developmaking a distinct choice years later about how the technologies will be deployed.Better and more cost-efficient choices now …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

Considering economics when prioritising species conservation

There are limited funds available for saving threatened species globally. Investing that money wisely can help ecologists and the government achieve more bang for their buck, and help more species and ecosystems.We can use many approaches  to help guide those investment decisions, including mathematical optimisation and operations research. However better considerations of economic factors are needed in order to reflect the complexity of real ecosystems and governments.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

Optimal eradications

Eradication is the process of driving a population down to zero - to extinction. We eradicate:invasive species from islandsdiseases from human populationscancer cells from patients.Finding every last individual in a population is expensive and difficult. The rule of thumb is that you spend 95% of your resources removing the last 5% of the population. Many of the organisms we're trying to eradicate are also difficult to observe.In this project, we'll use experimental microcosms (i.e., populations of unicellular animals in test …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

How many species were saved by national parks?

National parks are the cornerstone of modern conservation efforts. They now cover more than 10% of the Earth’s land surface and are found on every continent and sea.We can prove that these national parks stop human destruction of habitat. We can prove that they benefit the lives and livelihoods of people who visit and surround them. However, we can't yet prove that they have stopped the extinction of a single species. This isn't because we don’t believe that they've helped. …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Mathematical theory of human cognitive limits

The human brain has a proven ability to solve difficult problems. However, recent research in economics and psychology has revealed limits to human cognition. This includes situations where the assumption of an optimal Homo economicus has proven to be incorrect.Psychologists have called these issues 'cognitive biases' – situations where the human brain makes consistent and particular mistakes. They have spent a lot of time listing them, and testing them to make sure they are real. There are now dozens of …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

New mathematical and computational techniques for partial differential equations in heterogeneous media

Mathematical models involving both partial differential equations (PDEs) and heterogeneous media are useful for simulating many important physical processes. This includes:groundwater flowpollutant transportheat transferdrug deliverytumour growth.This project focuses on developing new mathematical and computational techniques to solve, simulate and/or analyse PDEs in heterogeneous media.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Creation of fibrous tissue at moving interfaces

Extracellular matrix (ECM) secreted by cells is composed of a meshwork of fibres infiltrated with proteins and/or minerals. This fibre meshwork often matures after its creation by rearranging its structure according to local mechanical clues, or by the infiltration of new molecules.In this project, the fibre meshwork will be represented by a continuous anisotropic field. You will derive evolution equations to describe fibre creation at moving cell membranes and the subsequent maturation of the meshwork.Applications of this model include the:investigation …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Biomedical Technologies

Predicting alternative states induced by multiple interacting feedbacks in seagrass ecosystems

Many ecosystems worldwide are proposed to exhibit alternative stable states due to feedback processes that keep the ecosystem in one state or the other.A prototypical ecosystem for studying feedback processes is seagrasses, a typically submerged plant growing in shallow waters, for which 17 different feedbacks have been identified.Early attempts at modelling multiple interacting feedbacks in seagrass ecosystems suggest that these dynamics can be extremely complex.This project seeks to explore the complex dynamics that might arise from multiple interacting feedbacks in …

Study level
Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Computational modelling of liquid marbles

Liquid marbles are liquid droplets coated with super-hydrophobic particles. They possess interesting properties such as the ability to contain liquid content without wetting surfaces and enhanced elasticity.Numerous experimental studies on liquid marbles and their properties have already been reported in the literature. For example, novel microfluidic applications, miniature bioreactors and gas sensing mechanisms. Despite plenty of experimental work, there is limited computational modelling investigations of liquid marbles represented in literature.A successful numerical model would be able to derive new insights …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mechanical, Medical and Process Engineering
Research centre(s)

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, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Biomedical Technologies

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