Gray, Scott and their collaborators proposed the model analyzed in our paper in the 80’s. The model describes an autocatalytic mechanism in isothermal systems where the reaction rate is increased by strengthening the concentration of one of the products. The chemical reaction (Fig. 1) occurs in a continuously stirred tank reactor (CSTR) and it involves two reactants X and Y with concentrations ...

The autocatalytic reaction between chlorite and iodide ions exhibits a remarkable range of dynamical behavior. In a stirred tank reactor it shows bistability between steady states and between a steady and an oscillatory state. It forms the core of a large family of systematically designed chemical oscillators. The chlorite-iodide system has served as the prototype reaction in the discovery and ...

To begin with, relaxation equations will be generally examined within the framework of the thermodynamics of irreversible processes. The relaxation in the glass transition region specifically proves to be a non-linear process which resembles an accelerated or retarded autocatalytic reaction. Therefore it is physically not very useful to split the relaxation in the glass transition region into a...

Important aspects of the electrochemical reduction of aryl thiocyanates were investigated. A striking change in the reductive cleavage mechanism as a function of the substituent on the aryl ring of the aryl thiocyanate is observed. A similar behavior has been reported for benzyl halides. This is different from what is widely reported for aryl halides where a stepwise mechanism is taking place r...

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 ...

The paper is devoted to the thermal explosion problem in the case of autocatalytic reaction given both heat transfer and diffusion. By means of the method of integral manifolds there are investigated critical regimes and are found critical values of parameter for plane-parallel and for cylindrical reactors. This work was written while V.A. Sobolev was a visitor at both the Boole Centre for Rese...

Carbonyl reductase catalyses the reduction of steroids, prostaglandins and a variety of xenobiotics. An unusual property of human and rat carbonyl reductases is that they undergo modification at lysine-239 by an autocatalytic process involving 2-oxocarboxylic acids, such as pyruvate and 2-oxoglutarate. Comparison of human carbonyl reductase with the pig enzyme, which does not undergo autocataly...

In this work the existence of a global attractor for the solution semiflow of the coupled two-cell Brusselator model equations is proved. A grouping estimation method and a new decomposition approach are introduced to deal with the challenge in proving the absorbing property and the asymptotic compactness of this type of fourvariable reaction-diffusion systems with cubic autocatalytic nonlinear...

We discuss a system of autocatalytic sequences of binary numbers. Sequences come in two forms, a 1-dimensional form (operands) and a 2-dimensional form (operators) that are able to react with each other. The resulting reaction network shows signs of emerging metabolisms. We discuss the general framework and examine speciic interactions for a system with strings of length 4 bits. A self-maintain...

AMP + 2 phosphocreatine -+ ATP + 2 creatine. The conversion is not prevented as a result of treatment of the kinases with charcoal and Dowex 1 (CFform) to remove nucleotides. 2. It has been confirmed that neither creatine kinase nor adenylate kinase catalyses the direct phosphorylation of AMP by phosphocreatine. 3. It appears that reaction occurs because crystalline creatine kinase contains a s...