As the study of biological systems becomes more quantitative, the part that mathematical analysis plays increases.


Biomathematics 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.

Relevant undergraduate courses