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UNSW
Faculty of Science
School of Mathematics and Statistics
Research
 
Applied Maths
  Biomathematics
  Fluid Dynamics, Oceanography and Meteorology
  Nonlinear Phenomena
  Numerical Analysis and Computational Mathematics
  Optimisation and Optimal Control
Pure Maths
Statistics
Interdisciplinary
CEDL
Centre for Mathematical & Statistical Modelling of Complex Systems
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Research> Applied Maths> Biomathematics

Macro Model | Neural Fractals | Lamprothanium
Biomathematics

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

Research Fellows

  • D. Chik, Nonlinear dynamics of pulse-coupled oscillators
  • Trevor Langlands, Fractional Reaction Diffusion Equations
Postgraduate Students

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