Excitable dynamics in the bromate–sulfite–ferrocyanide reaction

Zagora, J.; Voslar, Michal; Schreiberová, Lenka; Schreiber, Igor

doi:10.1039/b110048c

Cited by 17 publications

(34 citation statements)

References 27 publications

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“…The protonation constant K G was estimated in Sec. V. Several values for K F1 can be found in the literature: 10 −3.2 M, 48 10 −3.7 M, 49 and 10 −4.1 M. 50 In the fundamental work on the protonation of hexacyanoferrates, 51 it was found that pK F1 = 4.2 ͓K F = ͑6.7ϫ 10 −5 ͒ M͔ for zero ionic strength ͑IS͒ ͑actually, at ISϽ 0.01͒ and pK F1 = 3.2 at IS= 0.1. The second protonation ͓Eq.…”

Section: Modelingmentioning

confidence: 96%

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Vanag¹,

Míguez²,

Epstein³

2006

The Journal of Chemical Physics

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The reaction of glucose with ferricyanide catalyzed by glucose oxidase from Aspergillus niger gives rise to a wide range of bistability as the flow rate is varied in a continuous flow stirred tank reactor. Oscillations in pH can be obtained by introducing a negative feedback on the autocatalytic production of H+ that drives the bistability. In our experiments, this feedback consists of an inflow of hydroxide ion at a rate that depends on [H+] in the reactor as k0[OH-]0[H+]/(K+[H+]). pH oscillations are found over a broad range of enzyme and ferricyanide concentrations, residence times (k0 (-1)), and feedback parameters. A simple mathematical model quantitatively accounts for the experimentally found oscillations.

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Section: Modelingmentioning

confidence: 96%

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Vanag¹,

Míguez²,

Epstein³

2006

The Journal of Chemical Physics

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“…26 The photoinduced excitation mainly functions through M10 and M8 in Table 1, which is in essentially the same way as the OH − induced "inhibitory excitability" in the BSF reaction. 9,10 Effect of the Light Duration on the Homogeneous Dynamics of the HPSF Reaction. If the reaction is…”

Section: ■ Results and Discussionmentioning

confidence: 99%

Photoinduced Oscillations and Pulse Waves in the Hydrogen Peroxide–Sulfite–Ferrocyanide Reaction

et al. 2018

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The hydrogen peroxide-sulfite-ferrocyanide reaction shows excellent photosensitivity under pulse light illumination, which can be used to efficiently control the spatiotemporal dynamics of the nonlinear chemical system. Here, we numerically simulated the photoinduced pH oscillations by integrating two models that describe the oscillatory and photosensitive behaviors, respectively. A dynamic transition from the low-pH steady state to oscillations can be obtained using light illumination. In accordance with the simulation results, oscillatory dynamics was experimentally obtained under light illumination through excitation of a low-pH steady state. In the reaction-diffusion medium, corresponding multiple pulse waves were observed under suitable acid concentration and illumination conditions. Hence, light illumination can be efficiently employed to tune pattern formation in pH dynamic systems. Especially, the observation indicates that the local oscillations and pulse waves were promoted by diffusion in the gel reactor when comparing with dynamics in a homogeneous system.

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“…A propagating pulse in a spatially extended system should be related to excitability in a point (0D) or well stirred system, where a superthreshold perturbation results in a large amplitude excursion before the system returns to its initial stable SS. Many models possessing pH bistability and oscillations also exhibit excitability (29)(30)(31). The region of excitability is often located near the Hopf bifurcation that leads to oscillations or near the saddle-node bifurcation that results in bistability (32,33).…”

Section: Resultsmentioning

confidence: 99%

Fronts and pulses in an enzymatic reaction catalyzed by glucose oxidase

Míguez

Vanag

Epstein

2007

Proc. Natl. Acad. Sci. U.S.A.

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Waves and patterns in living systems are often driven by biochemical reactions with enzymes as catalysts and regulators. We present a reaction-diffusion system catalyzed by the enzyme glucose oxidase that exhibits traveling wave patterns in a spatially extended medium. Fronts and pulses propagate as a result of the coupling between the enzyme-catalyzed autocatalytic production and diffusion of hydrogen ions. A mathematical model qualitatively explains the experimental observations. enzymes ͉ reaction-diffusion ͉ waves

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Excitable dynamics in the bromate–sulfite–ferrocyanide reaction

Cited by 17 publications

References 27 publications

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Photoinduced Oscillations and Pulse Waves in the Hydrogen Peroxide–Sulfite–Ferrocyanide Reaction

Fronts and pulses in an enzymatic reaction catalyzed by glucose oxidase

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