I use mathematical modelling to investigate multiscale problems of mass and fluid transport with applications in biology and industry, typically involving moving boundaries. Some examples of the applications I work in include: biological signalling (e.g. quorum sensing), tissue engineering, cryopreservation, decontamination & cleaning, and synthetic biology.
While the applications I consider are diverse, one unifying theme is the methodology I use. I am able to significantly reduce the computational complexity of solving a given problem through a systematic hybrid approach, combining sophisticated asymptotic (multiscale) techniques and numerical methods. This allows me to provide efficient predictive tools and to obtain mechanistic insight into the systems that I model.
If you are interested in working with me, do get in touch. I am happy to discuss support for external Fellowships, as well as potential PhD projects.
You can read more about my research by following the links at the top of this page.
Email: m.dalwadi [at] ucl.ac.uk