The temperature and pressure dependence of partial and total rate constants of complex-forming bimolecular reactions are investigated with the goal to obtain simplified and compact rate constant expressions suitable for data compilations. The transition of the reactions from low pressure chemical activation to high pressure association character is analyzed. The two processes are modeled separately first by solving master equations, leading to "inverse" and "normal" falloff curves, respectively, and allowing for a compact representation of the separated rate constants. It is shown that broadening factors of the two falloff curves are different, and those of chemical activation often approaching unity. Coupling of the two separate processes then is modeled in a simplified manner. Finally, thermal redissociation of the adducts formed by association is accounted for.