Using evolutionary algorithms in molecular biology?
The first thing that springs to mind is modeling and simulating the evolution and specificity determinants in protein - protein binding. You can easily include an experimental  part and make it as big as you like (the bigger, the better). For a useful set of physiologically important protein - protein interactions and background info on the specificity and affinity determinants in those systems, see Ivanov et al., 2017 and Ivanov et al., 2016, and the references therein.