A lot of problems have been solved from a bioinformatics perspective and in most of the life science research bioinformatics immensely contributes. But till date there hasn't been a single Nobel prize given to a bioinformatician or in the field of bioinformatics or biocomputing. what is the root cause? or what are we lacking?
There is a nice discussion on Tiwari's blog on this subject. More so arguing that BLAST deserves a Nobel Prize. 26587 BLAST citations versus 14510 for PCR. Data as at 2009 http://abhishek-tiwari.com/2009/10/nobel-prize-for-blast.html
Although I agree with the statement "A lot of problems have been solved from a bioinformatics perspective", I am not sure about "in most of the life science research bioinformatics is core of research". What do you mean by "most" and "core"? That overstates the role and importance of bioinformatics, I think. For most practicing biologists, bioinformatics is a tool, like tissue culture. Maybe I have this point of view because I sit in a wet lab, in an institute largely populated by molecular biologists and geneticists.
It's reasonable to ask what the intrinsic value of a prize might be. The awards are idiosyncratic and politial. Every year experts handicap the Nobel prizes and loads of deserving, brilliant people are not recognized (e.g. see Derek Lowe's blog). Individual techniques do get awards: look at PCR and GFP, for example. Those had to be chemistry awards, since there is no "biology" prize. There's no "mathematics" or "computer science" award either, although there are the Fields medal and Turing awards.
I wouldn't worry if there are no "bioinformatics" nobel prizes for the next 20 years. This is a new discipline. Of more importance, in my mind, is more funded RO1 awards for work that uses bioinformatics techniques, more PIs who think of bioinformatics as a normal part of research rather than an add-on to throw at problems when they can't figure out a mechanism, and training more researchers to learn biology and bioinformatics techniques at the same time.
Well if you might be looking for a candidate read this Esquire feature about Eric Schadt. I agree with David that there are more important things to worry about, but this is a nice read over the weekend anyway.
Would the price be for a Bioinformaticist or A Bioinformatician? I think that there will never be a nobel prices for bioinformatics, for the same reason there is no such price for medical informatics, communication sciences, political sciences and so forth.