Computer modelling of estrogenic transcriptional activation can account for different types of dose-response curves of estrogens.

Estrogenic activity of diphenylethanes and -ethenes was determined by uterine growth in immature mice and analyzed by weighed regression of logit-transformed effect on log dose values. This resulted in a range of Hill coefficients nH from 0.3 to 2 corresponding to the molecular mechanism of estrogenic transcriptional activation. Binding of agonists (hormones, H) to estrogen receptors (ER) leads to receptor dimerization depending on the structure of the ligand. Three hormone-receptor complexes, H-ER, H-ER-ER, and H-ER-ER-H, which bind with different affinity to short palindromic DNA sequences (estrogen responsive elements), can be proposed. Transcriptional activating functions of the DNA-bound ER are subsequently induced. We have derived an equilibrium model including these steps. Computer simulations of Hill plots based on the model have completely reproduced the range of observed nH values. Hill coefficients are > 1.5 if the homodimer H-ER-ER-H and < 0.7 if the heterodimer H-ER-ER strongly predominates. If ER dimerization is disturbed (H-ER monomer predominant), nH is closer to 1. Hill coefficients and pD2 values (negative decadic logarithms of molar estrogen doses causing 50% of the maximal effects) are related to parameters of ER dimerization and the two steps of hormone-receptor dissociation. When a series of 1,2-bis(3'-or 4'-hydroxyphenyl)ethanes and -ethenes is studied, a rather simple dependence of nH and pD2 on the nature of alkyl groups symmetrically substituted at C-atoms 1 and 2 can be observed. In terms of the model this implies that ethyl and alpha-branched higher alkyl substituents (nH >> 1) appear to stabilize the homodimer, while methyl and CF3 groups (nH << 1) could lead to a rapid dissociation of the homodimer to the heterodimer. With longer n-alkyl and beta-branched alkyl substitution (nH from 0.66 to 1.3), dimerization itself can be limited or the ligand-homodimer dissociation is only moderately increased. Thus, a strong sterical constraint could exist with respect to the stabilization of the second ligand-receptor bond in the homodimer.