It has been thought for several years that the greatly lowered oxygen affinity, high cooperativity, and heterotropic modulation displayed by tetrameric human hemoglobin (Hb) was an exclusive result of the assembly of high affinity alpha(1)beta(1) dimers into alpha(2)beta(2) tetramers. However, in recent times, it has been shown that alpha- and beta-semihemoglobins, namely alpha(heme)beta(apo) and alpha(apo)beta(heme), which are dimers of Hb characterized by a high affinity for oxygen and lack of cooperativity do respond to effectors such as 2-[4-(3,5-dichlorophenylureido) phenoxy]-2-methylpropionic acid (L35), a bezafibrate (BZF) related compound, by decreasing the ligand affinity to a considerable extent (between 60- and 130-fold). In order to shed some light on the structural basis of this phenomenon, we have developed a binding mode of L35 to semihemoglobins through docking analysis using the program GRID. Molecular modelling studies did identify sites on semihemoglobins where favourable interactions with L35 can occur. We found that the effector binds differently to the two semihemoglobins exhibiting high affinity only for the alpha chain heme pocket. The proposed binding models are consistent with the experimental findings and may be rationalized in terms of different hydrophobic and hydrophilic characteristics between alpha- and beta-heme pockets of Hb.