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Department of Mathematics

Simulation of transport in microvascular networks (doi:10.1126/sciadv.aav6326)

Biomechanics and transport processes

Understanding the physical processes that govern how organisms function.

We investigate the mechanical properties of diverse biological structures, from individual cells to entire tissues and organisms. Biomechanical problems are challenging because they involve nonlinear interactions between complex materials over multiple length and time scales. To solve such problems generally requires collaborations that are both intra- and inter-disciplinary.

We combine expertise in continuum mechanics, biophysics and image processing to produce novel solutions to biomechanical and transport problems, working closely with life scientists and clinicians. We develop fundamental mathematical techniques and apply them in a practical way to interpret experimental data.

We are actively engaged in research projects on a wide range of topics, including:

  • Anomalous  transport in biophysical systems
  • Blood flow
  • Mechanics of bone, tendon and extracellular matrix
  • Collagen trafficking and self-assembly
  • Growth, remodelling and morphogenesis in biological materials
  • Intracellular transport
  • Mechanics of exchange organs such as lung and placenta
  • Soft tissue elasticity and viscoelasticity
  • Statistical mechanics of non-equilibrium processes

More information about our research outputs and research-related activities can be found by browsing the webpages of the staff listed on the right. Potential PhD students may email academic staff directly to discuss possible projects.