Dr Paul Roberts MMath (Oxon) DPhil (Oxon)

Dr Paul A. Roberts

School of Mathematics
Postdoctoral Research Fellow

Contact details

University of Birmingham
B15 2TT

Paul Roberts is a postdoctoral research fellow in mathematical biology. In his current project, he uses mathematical models to optimise the treatment of bacterial infections. Working mainly with differential equation models, he uses a combination of analytical techniques and numerical simulations in their analysis.

Taking an interdisciplinary approach, his research is conducted in close collaboration with experimentalists (see the Krachler Lab web pages). Before coming to Birmingham, Paul completed a DPhil on mathematical models of the retina, an area in which he maintains an active interest.


  • DPhil Systems Biology, University of Oxford, 2015
  • MMath Mathematics, University of Oxford, 2010


Paul completed his MMath in mathematics at the University of Oxford in 2010, he then spent a year at Oxford’s Systems Biology Doctoral Training Centre, learning how to do interdisciplinary research.

This was followed by a DPhil (PhD) in the University of Oxford mathematics department, under the supervision of Prof Helen Byrne and Dr Eamonn Gaffney, where he developed mathematical models of the retina in health and disease.

In 2015, Paul took up a postdoctoral research fellowship in the School of Mathematics at the University of Birmingham, Paul currently works in the area of mathematical microbiology, working with Dr Sara Jabbari.


Research Themes

Mathematical modelling applied to problems in physiology and microbiology.
Differential equation models (PDEs and ODEs), analysed using a combination of analytical and numerical techniques.

Research Activity

Mathematical modelling of:

  • Retinal oxygen distribution and the role of neuroglobin
  • Retinitis pigmentosa
  • Bacterial infections and their treatment 

Other Research Interests

Span mathematical ecology, biology and physiology, especially:

  • Collective behaviour
  • Developmental biology
  • Biological pattern formation