For the purpose of obtaining quantitative concentration-effect relatio
nship for combined drugs, rationales of the Hill equation were inferre
d and five models, i.e., normal distribution (NRD), derivative of R (D
RV), vacancy-dependent binding (VDB), equiresponse (EQR), and independ
ence (IND), were proposed to estimate the intensity of the combined dr
ug action. In conclusion, we could not come up to the unique concentra
tion-effect relationship. Among the five models, the EQR, NRD, and VDB
models gave almost identical response intensity. Discrimination of th
ese three models is not of great importance. The DR V model gave a cha
racteristic concave isobologram (overadditive), for a given ratio of H
ill constants and independent of pharmacologic effect. In contrast, th
e IND model was able to cope with convex isobolograms (underadditive).