Lateral instabilities in cubic autocatalytic reaction fronts: The effect of autocatalyst decay

Tóth, Ágota; Horváth, Dezsö; Jakab, Éva; Merkin, J. H.; Scott, Stephen K.

doi:10.1063/1.1371517

Cited by 19 publications

(10 citation statements)

References 19 publications

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“…For an autocatalytic isothermal RD system with cubic kinetics, the critical condition was shown16, 17 to be D act / D inh < 0.435, where D act and D inh are the diffusivities of an activator and an inhibitor, respectively. This was verified numerically in a series of studies 18–23…”

Section: Introductionmentioning

confidence: 62%

An Adaptor Domain‐Mediated Autocatalytic Interfacial Kinase Reaction

Liao

Mrksich

2009

Chemistry A European J

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This paper describes a model system for studying the autocatalytic phosphorylation of an immobilized substrate by a kinase enzyme. This work uses self-assembled monolayers (SAMs) of alkanethiolates on gold to present the peptide substrate on a planar surface. Treatment of the monolayer with Abl kinase results in phosphorylation of the substrate. The phosphorylated peptide then serves as a ligand for the SH2 adaptor domain of the kinase and thereby directs the kinase activity to nearby peptide substrates. This directed reaction is intramolecular and proceeds with a faster rate than does the initial, intermolecular reaction, making this an autocatalytic process. The kinetic non-linearity gives rise to properties that have no counterpart in the corresponding homogeneous phase reaction: in one example, the rate for phosphorylation of a mixture of two peptides is faster than the sum of the rates for phosphorylation of each peptide when presented alone. This work highlights the use of an adaptor domain in modulating the activity of a kinase enzyme for an immobilized substrate and offers a new approach for studying biochemical reactions in spatially inhomogeneous settings.

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Section: Introductionmentioning

confidence: 62%

An Adaptor Domain‐Mediated Autocatalytic Interfacial Kinase Reaction

Liao

Mrksich

2009

Chemistry A European J

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“…Similar conditions were derived for two‐variable activator‐inhibitor RD systems with polynomial kinetics: the planar front was shown to be unstable with respect to transversal perturbations if the ratio of the diffusion coefficient for the activator to that for inhibitor exceeds some critical value 22, 23. The basic characteristic of transversal patterns beyond the bifurcation condition can be determined by dispersion curves showing dependence of the temporally perturbation growth as functions of a wave number, which were conducted with a cubic kinetics by several groups 24–26…”

Section: Introductionmentioning

confidence: 80%

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Nekhamkina¹,

Sheintuch²

2010

AIChE Journal

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in Wiley Online Library (wileyonlinelibrary.com).Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.

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“…Box 105, Szeged 6701, Hungary e-mail: horvathd@chem.u-szeged.hu B 2 front and hence its flux across the reaction zone [13]. The same effect may be observed if the autocatalyst slowly decays following its production by forming an inert product [14]. In our experimental studies the autocatalytic chlorite ion oxidation of tetrathionate ion has been in focus, where a constant external electric field parallel to the direction of propagation either enhances the mixing of the reacting species or tends to separate them via the arising ionic migration depending on the orientation of the field [15][16][17].…”

Section: Introductionmentioning

confidence: 69%

Modeling study of migration-driven lateral instability in autocatalytic systems

2007

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The lateral stability of reaction fronts in simple autocatalytic models with the components carrying various charges is investigated when the system is exposed to an inhomogeneous electric field parallel to the direction of propagation. The enhanced migrational flux of the reactant destabilizes the planar front giving rise to a cellular structure because the electric field strength is greater on the reactant side of the reaction front. The onset of instability depends not only on the charge difference between the reactant and the autocatalyst but also on the variation of specific conductance in the course of the reaction, which results in a difference in electric field strength on the opposite sides of the reaction front.

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Lateral instabilities in cubic autocatalytic reaction fronts: The effect of autocatalyst decay

Cited by 19 publications

References 19 publications

An Adaptor Domain‐Mediated Autocatalytic Interfacial Kinase Reaction

An Adaptor Domain‐Mediated Autocatalytic Interfacial Kinase Reaction

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Modeling study of migration-driven lateral instability in autocatalytic systems

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