As the study of biological systems becomes more quantitative, the part that mathematical analysis plays increases. This extends from the macroscopic, such as modelling the spread of a disease through a community, to the microscopic, such as determining the three-dimensional structure of proteins from knowledge of their sequence of amino acids.

### Research Interests

- Nonlinear dynamics of communication between cardiac pacemaker cells, as well as their response to external stimulation
- Unified mathematical model of the electrophysiology of charophytes (brackish water plants)
- Dynamics of the movement of glucose transporters in adipocyte (fat) cells and the role of insulin in their expression
- Multifractal scaling of neuron morphologies to identify age-related characteristics
- Fractional reaction-diffusion equations as models for pattern formation in systems in which the diffusion is anomalous
- Modelling transport processes in inhomogeneous biological media ranging from molecular, cellular and network to whole organisms
- Analysis of neuronal signaling dynamics in inhomogeneous neural cables
- Methods of nonlinear dynamics to find evidence for low dimensional deterministic chaos in arterial blood pressure data, the first stage in attempting to identify a diagnostic for predisposition to chronic hypertension
- Immune system dynamics
- HIV, hepatitis B and C
- Epidemiology
- Cancer chemotherapy
- Dynamics of drug resistance

### Group Members

### Relevant Undergraduate Courses

- MATH1031 Mathematics for Life Sciences
- MATH1041 Statistics for Life and Social Sciences
- MATH3201 Dynamical Systems and Chaos
- MATH3041 Mathematical Modelling for Real World Systems
- MATH6781 Biomathematics
- MSCI3001 Physical Oceanography
- MSCI2001 Introductory Marine Science

### Links

- The Kirby Institute for Infection and Immunity in Society
- Theoretical Biology, Los Alamos National Laboratory
- Centenary Institute
- Computational Neurobiology and Imaging Centre, Mount Sinai School of Medicine, New York
- Garvan Institute of Medical Research