I imagine we have tools in that direction, but nothing complete. Unlike math and computers, biological systems don’t really go from a uniform set of simple rules to emergent complexity - there is a whole lot of sideways complexity thrown in.

Something that might fit the computation vision of your comment are the various Ontologies for bioinformatics. The Gene Ontology is probably the most complete, although it lags many years behind the literature.

http://geneontology.org/