Period-doubling bifurcations and chaos in a detailed model of the peroxidase-oxidase reaction

Abstract published in Advance ACS Abstmcrs, June 1, 1995. into the reaction scheme.7-" Although both types of models are capable of exhibiting complex dynamics, including chaos, the simple models have, up to now, outperformed the detailed models in reproducing the reaction's individual features, such as the waveform of the oscillations and their nonuniformity.I2 Furthermore, in the detailed models most of the rate constants used to obtain complex dynamics are not in accordance with the experimentally determined rate constants. Here we present a detailed model of the PO reaction which is capable of simulating the recent period doubling experiments of Geest et al.,I3 using the proper rate constants and the same conditions (enzyme concentration, 02 and NADH supply rates) as in the experiments. The model is a slight extension of a model recently proposed by Olson et al.'' under the name Urbanalator. The Model The model is built using the same elementary reaction steps as in previous detailed models such as the Yokota-Yamazaki (YY) ~cheme,~ the Fedkina-