  We develop and solve a network of rate equations for the production of
baryons and anti-baryons in high energy nuclear collisions. We include all
members of the baryon octet and decuplet and allow for transformations among
them. This network is solved during a relativistic 2+1 hydrodynamical expansion
of the of the hot matter created in the collision. As an application we compare
to the number of protons, lambdas, negative cascades, and omega baryons
measured at mid-rapidity in central collisions of gold nuclei at 65 GeV per
nucleon at the Relativistic Heavy Ion Collider (RHIC).
