Computational biology is now a vast field. What skills are needed depends very much in which area you work in. You mention neuroscience which also represent a large area of biology with a very diverse sets of approaches. Some universities also have a computational neuroscience program like here. Maybe you can have a look at what they teach in these programs. Otherwise, in general, what I found useful is to have a good understanding of the area of biology one is working in and a solid foundation in math/statistics on which you can build for the rest of your career.