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Found 6 matching student topics

Displaying 1–6 of 6 results

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

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

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

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
Faculty
Faculty of Science
School
School of Mathematical Sciences
Research centre(s)
Centre for Biomedical Technologies

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
Faculty
Faculty of Science
School
School of Mathematical Sciences

Optimising sampling design for model discrimination of coral reef recovery

Natural disturbances including severe storms and bleaching events have devastating impacts on the Great Barrier Reef's health. Unfortunately, the increasing pressures associated with climate change are causing these disturbances to occur more frequently, for a longer duration and with more intensity.It's essential to understand the recovery dynamics between major disturbances so we can manage the health of the Great Barrier Reef under increased environmental pressures. Many studies modelling reef recovery assume a specific form for the growth dynamics. However, the …

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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