We consider several lattice models of branched polymers in dilute solu
tion in which the polymer molecule is modelled as a tree or animal. In
general the thermodynamic properties of the polymer are determined by
monomer-monomer and monomer-solvent interactions. We examine a two-va
riable model which incorporates both types of interaction and discuss
its relationship to other models which have previously been investigat
ed. In particular, we discuss the collapse transition in these models.