A new model for oscillations in the peroxidase-oxidase reaction

St,; Alexandre, Stéphane; Dunford, H. Brian

doi:10.1016/0301-4622(91)87008-s

Cited by 14 publications

(8 citation statements)

References 19 publications

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“…This is not contradicting the SNA method of calculating β's as indicators of an instability, since a negative β is a sufficient rather than a necessary condition 2 (see also Appendix). The absence of any β k < 0 signifies that there can be no saddle stationary state and therefore no bistability (which contradicts experimental results 32 ), but there still can be an unstable focus surrounded by a limit cycle as shown in ref . Our calculations indicate that subnetwork iii (thick lines in Figure ), even though lacking a negative β, is the dominant one to achieve the oscillatory instability.…”

Section: Peroxidase−oxidase Systemcontrasting

confidence: 47%

“…The Degn-Olsen-Perram (DOP) model 32 and a very similar model by Olsen 33 are based on a theoretical consideration about branched chain reactions. The model by Alexandre and Dunford (AD) 34 is a highly skeletonized version of the general mechanism considered by Yokota and Yamazaki.…”

Section: Peroxidase-oxidase Systemmentioning

confidence: 99%

“…Our calculations indicate that subnetwork iii (thick lines in Figure 5), even though lacking a negative β, is the dominant one to achieve the oscillatory instability. The region of sustained oscillations is rather limited in the space of reaction rate coefficients, 34 which is likely because of the condensed skeletal character of the model. Therefore, the stationary state concentrations we used with model A do not provide an instability in this case.…”

Section: Ad Modelmentioning

confidence: 99%

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Categorization of Some Oscillatory Enzymatic Reactions

1996

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We investigate the categorization of two or more proposed reaction mechanisms for each of the following oscillatory enzymatic reactions: (1) the peroxidase-oxidase reaction; (2) glycolytic oscillations; (3) oscillations of cyclic AMP in slime mold cells; (4) enzymatic pH oscillations; (5) calcium spiking in cytosol. We use prior work in stoichiometric network analysis and categorization of oscillatory reactions to identify in each proposed reaction mechanism essential and nonessential species, the specific role of each essential species, the connectivity of the essential species, including the identification of the reactions leading to oscillatory instabilities, and the category. For each model, we predict the results of several experiments including relative amplitudes, quench amplitudes, phase shifts, and sign symbolic concentration shifts and compare them with those from available experiments. These and several other experiments such as bifurcation analysis, phase response curves, entrainment experiments, qualitative and quantitative pulsed species response, delay experiments, and external periodic perturbation provide stringent tests of proposed reaction mechanisms, and appropriate ones are suggested to discriminate among competing mechanisms for a given reaction. We find the necessity for introducing a new subcategory in our categorization of oscillatory reactions. The details of the analysis for reactions 2-5 and of the methods determining the categories are given in the Supporting Information.

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Section: Peroxidase−oxidase Systemcontrasting

confidence: 47%

Section: Peroxidase-oxidase Systemmentioning

confidence: 99%

Section: Ad Modelmentioning

confidence: 99%

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Categorization of Some Oscillatory Enzymatic Reactions

1996

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“…The abstract models include the DOP model,1 the Olsen model,2 and the Alexandre-Dunford model. 3 The Olsen model is a slight variation of the DOP model, while the Alexandre-Dunford model is a skeletonized version of the more detailed model A.4 The detailed models include the Yokota-Yamazaki mechanism,5 the Fed'kina-Ataullakhanov-Bronnikova oscillatory mechanism,6 model A, and model C.7 See ref 8 for a review of most of these models. The most extensive and recent of these is model C, shown in Figure 1 (thin lines).…”

Section: Introductionmentioning

confidence: 99%

New Reaction Mechanism for the Oscillatory Peroxidase-Oxidase Reaction and Comparison with Experiments

Hung¹,

Schreiber²,

Ross³

1995

J. Phys. Chem.

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We present a new model for the oscillatory peroxidase-oxidase reaction, which is an extension of the recent model C (Aguda, B. D.; Larter, R. J. Am. Chem. SOC. 1991, 113, 7913) and includes reaction steps involving 2,4-dichlorophenol and termination reactions for the superoxide radical and hydrogen peroxide. The calculations with this model compare well with measurements of temporal variations, including mixed-mode, chaotic, and bursting oscillations as well as tests for the assignment of roles of the species in the model and the categorization of the oscillator (Eiswirth, M.; Freund, A.; Ross, J. Adv. Chem. Phys. 1991, 80, 127). Of the 12 species considered in this model, six are essential, and the others nonessential. The essential species are oxygen, compound I, compound 11, compound 111, the NAD radical, and the superoxide radical. The nature of these essential species is also identified. Of the four species (oxygen, NADH, native HRP, and compound 111) measured experimentally, oxygen and compound I11 have been determined to be essential. The category of this model is lCW, in accordance with the experimental results. The new model reproduces better than the earlier models the temporal variations observed experimentally.

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“…xanthine level, the oxidase-peroxidase reaction has displayed complex behavior [6,20], and mapping of the parameter space in bifurcation diagrams has revealed the possibility of chaos [21][22][23]. The brain tyrosine and tryptophan hydroxylase systems can display non-linear behavior for certain ratios of their substrates [24].…”

mentioning

confidence: 99%