On the detection of homotropic effects in enzymes of low co-operativity. Application to modified aspartate transcarbamoylase

Abstract

In contrast with the ease of observing heterotropic effects in allosteric enzymes of low co-operativity, the detection of homotropic effects is often difficult. As a consequence, erroneous conclusions about the uncoupling of homotropic and heterotropic effects can result unless sensitive techniques are used for analyzing the kinetic data. Simulations of experiments as well as actual measurements on the allosteric enzyme, aspartate transcarbamoylase, of Escherichia coli and some of its modified forms, were performed in attempts to develop stringent diagnostic procedures for the detection of homotropic effects in enzymes of low co-operativity. The analyses show that direct saturation plots (velocity versus substrate concentration), double reciprocal plots, and Hill plots yield misleading results in that the co-operativity known to be present is not observed. In contrast, Eadie plots (velocity/substrate concentration versus velocity) are much more sensitive in revealing homotropic effects. Since the observed co-operativity depends on both the allosteric equilibrium constant, L, and the number of active sites, n, simulations were performed on the effect of those parameters. The maxima in the Eadie plots increased as L was lowered and conversely the maxima decreased as n was reduced. These changes were confirmed with a mutant aspartate transcarbamoylase which had the same specific activity as the wild-type enzyme and a lower value of L, and also with a hybrid enzyme containing fewer active sites and the same L value. Analogous experiments on nitrated aspartate transcarbamoylase derivatives of decreasing activity showed that Eadie plots were of value in distinguishing between the changes in L and n values resulting from the inactivation. Data from the literature were analyzed in the form of Eadie plots and in all cases homotropic effects were readily detectable for aspartate transcarbamoylase derivatives previously claimed to be devoid of co-operativity.