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pmas, I got into bioinformatics "backwards" - from the comp. sci. end of things. It's been a helluva ride so far, and it's only getting better.
MadraghRua has got a great list of references for you to start with, but I'd like to add some web-based resources you might find useful:
A lot of the bio-related Perl modules are no longer on CPAN - you can find a comprehensive set of bioinformatics tools at
http://bioperl.org. On their page, they also provide links to the "other" bio* projects: bioxml, biojava, and biocorba.
Good luck!
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robsv