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Found 20 matching student topics

Displaying 13–20 of 20 results

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

Topics in computational Bayesian statistics

Bayesian statistics provide a framework for a statistical inference for quantifying the uncertainty of unknowns based on information pre and post data collection.This information is captured in the posterior distribution, which is a probability distribution over the space of unknowns given the observed data.The ability to make inferences based on the posterior essentially amounts to efficiently simulating from the posterior distribution, which can generally not be done perfectly in practice.This task of sampling may be challenging for various reasons:The posterior …

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

Digitising Legislation

Dr Anna Huggins is looking for PhD/MPhil candidates interested in the emerging computational law project of translating legislation into digital forms. This could involve top down conceptualisation of the translation of legislative provisions or projects examining in detail the digitisation of specific legislation. Candidates with a background in data science, public administration and/or law are encouraged to apply. This topic is led by the QUT School of Law within the Digital Social Contract and Datafication and Automation of Human Life …

Study level
PhD, Master of Philosophy, Honours
Faculty
Faculty of Business and Law
School
School of Law

Advances in hypothesis testing

You would have learnt about several hypothesis tests already in your degree, such as t-tests and F-tests (think ANOVA). These tests are designed for the situation where you have a single hypothesis you want to check and you know how many observations you’re going to collect before you collect your data.Unfortunately, these assumptions can be problematic in real applications. For example, consider the situation where it’s time-consuming and expensive to collect data. Can you stop early if you’re getting very …

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

Computational models for fractional dynamical system for Vacation Research Experience Scheme (VRES)

In recent years, fractional models have attracted considerable interest because of their ability to model many phenomena. This proposal aims to study novel numerical methods of fractional partial differential equations and application.

Study level
Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences

Computational drug repurposing for neuropsychiatric disease

While hundreds of robust genetic associations have been found for neuropsychiatric disease (such as schizophrenia, major depression, and anxiety) understanding the exact molecular mechanisms leading to disease onset and progression remains challenging. Inherited (i.e. genetic) risk factors for many neuropsychiatric diseases converge on genes that are co-ordinately expressed (co-expressed) in a disease-relevant tissue (e.g. brain). The study of how genetic risk factors affect co-expressed genes (i.e. gene co-expression analysis) has the potential to uncover new biological processes underlying disease onset. …

Study level
Honours
Faculty
1043076
School
School of Biomedical Sciences

Topics in computational models in fractional dynamic models with applications

In recent years, fractional models have attracted considerable interest because of their ability to model many phenomena. Anomalous diffusion phenomena are widely spread in nature and engineering.This proposal aims to carry out innovative and novel research on developing efficient and accurate computational models for complex fractional dynamical systems.Potential research projects include:Computational modelling of nanofluids for industrial applications.Time and space nonlocalities underlying fractional-derivative models with application to medical imaging.Fractional dynamic models for MRI to probe tissue microstructure. Explore the utility of …

Study level
Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences

A physics-guided deep learning-based framework for computational mechanics

Computational mechanics is an essential discipline that uses numerical schemes to approximately solve mechanics problems. It provides engineers with precious knowledge about the structures to identify the at-risk area and further guide the structural design and optimisation process.Deep learning (DL) is an important branch of machine learning (ML). The great success of the DL techniques has been witnessed in the past decade. Now, various fields have benefited from the DL techniques, including computer vision, financial prediction, and bioinformatics. Therefore, it …

Study level
Vacation research experience scheme
Faculty
Faculty of Engineering
School
School of Mechanical, Medical and Process Engineering

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