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 39 matching student topics
Displaying 37–39 of 39 results
Equation learning for partial differential equation models of stochastic random walk models
Random walk models are often used to represent the motion of biological cells. These models are convenient because they allow us to capture randomness and variability. However, these approaches can be computationally demanding for large populations.One way to overcome the computational limitation of using random walk models is to take a continuum limit description, which can efficiently provide insight into the underlying transport phenomena.While many continuum limit descriptions for homogeneous random walk models are available, continuum limit descriptions for heterogeneous …
- Study level
- PhD, Master of Philosophy, Honours
- Faculty
- Faculty of Science
- School
- School of Mathematical Sciences
- Research centre(s)
- Centre for Data Science
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
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
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