What information to share and what to hide?
I think that you have to consider and balance, at the very least, the following aspects:


Your overall career goals. I would argue that career-wise every researcher wants (and has to) establish themselves as an expert, if not in a discipline, in a particular area(s) of research. With that in mind, it seems pretty obvious to me that sharing your research is much more beneficial then hoarding it. The one potential exception to this approach is noted in my next point.
Your current research (that is, particular study's) goals and priorities. If your current research has a potential to be commercialized and you have desire to deal with that and you have financial means (or your institution's support) to do so (as you know, patenting is not cheap, and, as I imagine, patenting in such a complex field, as computational biology, is doubly so), then you might consider taking this route (should be decided on a case by case basis).
Impact on potential collaboration. Modern research in many, if not most, fields is highly collaborative. Thus, your decision to significantly limit sharing research results and other related information will most likely make you an unattractive candidate for participating in upcoming collaborative research studies and, therefore, will most likely have a serious negative impact on your future research portfolio and, consequently, research career.