This summer I am doing undergraduate research in Partial Differential Equations. I am most interested in eventually starting a medical device startup focusing on the developing world (or innovate strongly in general). Does anyone know of good research topics good for knowledge of some biology (1 intro level college class) and undergrad level PDE class with some more studying beyond that with a professor? The question could be useful by itself or be good for building towards a undergrad final project, masters thesis or PhD thesis (potentially). Thanks!