Research

Research areas cover mathematical modelling of infectious diseases and the complex dynamical systems of their interaction in vivo with the immune system, as well as the epidemiology of their spread through communities. We collaborate with biomedical groups in Australia and overseas, particularly related to human immunodeficiency virus (HIV), hepatitis B virus (HBV), and hepatitis C virus (HCV).

Current research grants:

• ARC Discovery Project, 2018-2020, “Determining features that separate groups of protein sequences”, Murray, $297,478
• NHMRC Project, 2017-2019, “Resolving Human Immunodeficiency Virus (HIV) transmission”, Turville, Hope, Vallely, MacLaren, Carr, Murray, Liu, $745,212

Recent research grants:

• ARC Linkage Grant with Calimmune, 2013-2016, “Innovative mathematical modelling to determine incorporation of gene therapy in different cell lineages; Human Immunodeficiency Virus (HIV) as a model setting”, Murray, Symonds, $340,000+$150,000.
• ARC Discovery Project, 2013-2015, "Mathematical modelling can provide vital information on the effectiveness and practical implementation of microbicides and vaccines against HIV", Murray, Henry, Langlands, Klasse, $285,000.
• ARC Linkage Grant with Calimmune, 2010-2012, “Can an anti-HIV gene in blood stem cells protect from immune depletion by HIV?”, Murray, Symonds, $365,000+$120,000.
• Australian Development Research Awards, 2008-2010, “Evaluating and predicting the epidemiological impact of health policies for reducing HIV in Melanesian and South-East Asian populations”, Wilson D, Hoare A, Murray J, Kaldor J, Law M, $392,443.
• NHMRC Project Grant, 2008-2010, “Processes underlying establishment and maintenance of the latent HIV reservoir and potential impact of integrase inhibitors”, Zaunders J, Murray J, Suzuki K, $305,500.

Mathematics

Application of mathematics to biomedical research can cover many different mathematical and statistical techniques:

• Mathematical modelling
• Ordinary and partial differential equations
• Operations research
• Optimal control
• Statistics
• Mathematical computing

Publications