Biomechanics and Biomedical Engineering

We carry out research in regenerative medicine and tissue engineering applications, aneurysm rupture in arteries, physiological flow in the lungs and fluid flow dynamics in mechanical thrombectomy devices.

We combine our research strengths in mathematical modelling, solid mechanics and elasticity, and fluid mechanics to investigate a variety of important biomedical and medical problems. We have particular expertise in flow-structure interaction which is relevant in many physiological problems such as, blood flow in arteries and pulmonary mechanics. Our focus is in developing mathematical models that help in better understanding the important mechanisms underlying these problems.

We have developed nonlinear elasticity models to analyse the formation and rupture of aneurysms in the arteries. Fluid-structure interaction models have been developed to investigate the collapse and reopening of lung airways and in modelling cough manoeuvres and mucus transport. The fluid dynamics of a spreading bolus of surfactant on a solid inclined substrate has been investigated as a model problem of Surfactant-Replacement-Therapy (SRT) in neonatal lungs.  Our current research interest is in the mathematical modelling of in vitro/in vivo tissue engineering with researchers at the Institute for Science and Technology in Medicine (ISTM) and the Robert Jones and Agnes Hunt Orthopaedic hospital in Oswestry. Projects related to this have been funded by the 3ME - Modelling Methods in Medical Engineering - Bridging the Gaps initiative between ISTM and EPSAM (now Faculty of Natural Sciences) Research Institutes.



  • Physiological fluid mechanics, regenerative medicine / tissue engineering (Dr. S. Naire)
  • Nonlinear elasticity models to analyse the formation and rupture of aneurysms in the arteries (Professor Y. Fu)

PhD Students


(Supervisor in parentheses)


For Full list see Publications

Lally F, Soorani  M, Woo T, Nayak S, Jadun C, Yang Y, McCrudden J, Naire S, Grunwald I, Roffe C. 2015. In vitro experiments of cerebral blood flow during aspiration thrombectomy: potential effects on cerebral perfusion pressure and collateral flow. Journal of Neurointerventional Surgery (to appear)

Hidalgo-Bastida LA, Thirunavukkarasu S, Griffiths S, Cartmell SH, Naire S. 2012. Modeling and design of optimal flow perfusion bioreactors for tissue engineering applications. BIOTECHNOLOGY AND BIOENGINEERING, vol. 109(4), 1095-1099. 

Lutianov M, Naire S, Roberts S, Kuiper JH. 2011. A mathematical model of cartilage regeneration after cell therapy. J Theor Biol, vol. 289, 136-150.

Whittaker RJ, Booth R, Dyson R, Bailey C, Parsons Chini L, Naire S, Payvandi S, Rong Z, Woollard H, Cummings LJ, Waters SL, Mawasse L, Chaudhuri JB, Ellis MJ, Michael V, Kuiper NJ, Cartmell S. 2009.Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor. J Theor Biol, vol. 256(4), 533-546.

Naire S. 2009. Dynamics of voluntary cough maneuvers: a theoretical model. J Biomech Eng, vol. 131(1), 011010. 

Naire S and Jensen OE. 2005. Epithelial cell deformation during surfactant-mediated airway reopening: a theoretical model. J Appl Physiol (1985), vol. 99(2), 458-471.

Naire S and Jensen OE. 2003. An asymptotic model of unsteady airway reopening. J Biomech Eng, vol. 125(6), 823-831.