1. Provide new advanced mathematical models for a range of problems in cell biology, impinging on cellular interactions with their selves, with material surfaces and with nanoparticles.
2. Exploit continuous modelling approach used in nanotechnology in the context of cell biology, and in particular for cell-cell interactions, cell-nanobiomaterial interactions for regulating cell behaviour, and to determine the effect of nanoparticles in a cellular environment.
3. Use computer simulation technique to confirm mathematical finding.
4. Encourage PhD students into the vital area of mathematical modelling in nanobiotechnology.