Stoichiometric and substoichiometric inhibition of tubulin self-assembly by colchicine analogues.

The mechanism of the stoichiometric and substoichiometric inhibitions of tubulin self-assembly by several structural analogues of colchicine (COL) was investigated. The inhibition data were analyzed in terms of a simple model that takes into consideration Kg, the normal microtubule growth constant, equal to Cr-1 (Cr is the critical concentration for microtubule formation), and Kb, the binding constant of the drug to tubulin. In this manner, the value of the microtubule inhibition constant (Ki), which is the binding constant of the tubulin-drug complex to the end of a growing microtubule (which stops the microtubule growth), was determined. The results of the analysis of microtubule inhibition by the various colchicine analogues show that all the inhibitions can be expressed reasonably by this model. The strongest inhibitors found were colchicine (COL), allocolchicine (ALLO), and the biphenyl keto analogue 2,3,4-trimethoxy-4'-acetyl-1,1'-biphenyl (TKB), which had essentially identical values of Ki = (2.1 +/- 0.3) x 10(6) M(-1). MTC, the two-ring analogue of colchicine, was weaker (Ki = 5.6 x 10(5) M(-1). A most striking result was that tropolone methyl ether (TME), which is ring C of COL, and which binds very weakly to tubulin (Kb = 3.5 x 10(2) M(-1)), is a substoichiometric inhibitor. Its Ki value of 8.7 x 10(5) M(-1) makes it identical in strength to MTC, suggesting that ring A makes little or no contribution to the induction of assembly inhibition. The three biphenyls, which bind to tubulin with similar affinity, spanned the spectrum from strong substoichiometric inhibition (TKB) to stoichiometric inhibition for 2,3,4-trimethoxy-4'-carbomethoxy-1,1'-biphenyl (TCB) and an intermediate mode for the methoxy derivative 2,3,4,4'-tetramethoxy-1,1'-biphenyl (TMB). The extent of tubulin bound to drugs at 50% inhibition (r) was ca. 2% for TKB, ALLO, and COL, i.e. one liganded tubulin for every 40-50 molecules of free protein (substoichiometric). This ratio was 1:1.5 for TCB (stoichiometric) and 1:6 for TMB (intermediate). For TME, which is a single ring compound, it was 1:25. The progression of the stoichiometries varied directly with Ki and was totally unrelated to the values of Kb, which indicated the control of the stoichiometry by Ki and the close thermodynamic linkage between r and Ki. Comparison of the inhibitory capabilities of the various drugs identified the need for strong substoichiometric inhibition of a carbonyl group on ring C or C'. Furthermore, this group must be properly oriented by interaction with the protein or by the structural rigidity imparted by ring B, as in ALLO. The simple linked equilibrium model developed in this paper permits the alignment of drugs along a continuum that ranges from stoichiometric to strong substoichiometric modes of microtubule inhibition. Furthermore, it shows that the previously identified two classes are the two ends of a monotonously progressing spectrum described by a single mechanism of action.