Through kinetic analysis, we demonstrate that the formation of catalyst and substrate reservoirs plays a crucial role in titanium(III)-catalyzed ketone-nitrile coupling reaction. Together with insight from previous studies, model is assembled reflects observed influence ZnCl2 Et3N byproducts as well hydrochloride additive, which employed frequently titanium(III) catalysis. We further propose fo...

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 ...

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...

A glycolytic model, which is an autocatalytic biochemical system, is solved numerically using two numerical methods based on finite-difference schemes. Method 1, the well known Euler method, is an explicit method, whereas method 2 is implicit. Although the implicit method, method 2, is first-order accurate in time it converges to the fixed point(s) for large time step, ‘. 2005 Elsevier Inc. All...

The interaction of an autocatalytic reaction with a fast precipitation reaction is shown to produce a permanent precipitate pattern where the major driving force is differential diffusion. The final structure emerges from the leading transient cellular front, the cusps of which evolve into precipitate free zones. The experimental observations are reproduced by a simple model calculation based o...

An autocatalytic reacting system with particles interacting at a finite distance is studied. We investigate the effects of the discrete-particle character of the model on properties like reaction rate, quenching phenomenon, and front propagation, focusing on differences with respect to the continuous case. We introduce a renormalized reaction rate depending both on the interaction radius and th...