The results of calculating the cross section for heavy-quark productio
n in the leading log aproximation of QCD and in the parton model are c
ompared. The equations of the parton model are obtained from the leadi
ng log approximation of QCD by a sequence of simplifications. The main
difference is that the parton model predicts a more rapid decrease of
the cross section with increasing transverse momentum of the heavy qu
ark.