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Dr Martin Homer

Mathematical modelling

My main research interest is mathematical modelling of real-world systems, in a wide range of application areas from engineering to the life sciences. I am an expert in the theory and computation of nonlinear dynamical systems, especially those that are nonsmooth. 

Current research problems include:

  • Hearing mechanisms in mammals and insects,
  • Collective behaviour of insect swarms,
  • High-speed atomic force microscopy,
  • Temperature-mediated architectural adaptations of plants,
  • Noise and vibration in gearboxes and other mechanical systems,
  • Cellular dynamics of intestinal crypts,
  • AMR in gonorrhoea,
  • Dynamical systems approaches to complexity sciences,
  • Smart materials.

Research keywords

  • Mathematical Modelling
  • Nonlinear Dynamics
  • Engineering
  • Engineering Mathematics
  • mathematical biology
  • biomedical engineering
  • Biomechanics
  • robotics
  • Collective dynamics
  • Complexity
  • complex systems