Many systems in biology and chemistry are oscillatory, with a stable, spatially homogeneous steady state which consists of periodic temporal oscillations in the interacting species, and such systems have been extensively studied on in"nite or semi-in"nite spatial domains. We consider the effect of a "nite domain, with zero-#ux boundary conditions, on the behaviour of solutions to oscillatory re...

Introduction Although previous research suggests that genetic variation in dopaminergic genes may affect recognition memory, the role dopamine transporter expression may have on the behavioral and EEG correlates of recognition memory has not been well established. Objectives The study aims to reveal how individual differences in dopaminergic functioning due to genetic variations in the dopami...

Linear stability of double diffusive convection of Darcy-Maxwell fluid with Soret and Dufour effects is investigated. The effects of the Soret and Dufour numbers, Lewis number, relaxation time and solutal Darcy Rayleigh number on the stationary and oscillatory convection are presented graphically. The Dufour number enhances the stability of Darcy-Maxwell fluid for stationary convection while it...

Erythema gyratum repens (EGR) is a rare, inflammatory dermatosis of unknown aetiology. The morphology of the eruption is striking and displays rapidly evolving circinate and gyrate bands of erythematous and scaly skin. Although the aetiology of the pattern is unknown, it has previously been noted that the eruption shares morphologic features with the patterns of spatio-temporal chemical concent...

We establish the existence and robustness of layered, time-periodic solutions to a reaction-diffusion equation in a bounded domain in Rn, when the diffusion coefficient is sufficiently small and the reaction term is periodic in time and bistable in the state variable. Our results suggest that these patterned, oscillatory solutions are stable and locally unique. The location of the internal laye...

This paper deals with the effect of heat and mass transfer with chemical reaction on MHD oscillatory flow through porous medium in the presence of heat source/sink in an asymmetric channel. Based on some simplifying assumptions, the governing momentum, energy and diffusion equations are solved and the analytical solutions for fluid velocity, temperature distribution, mass concentration, skin fr...

We here report our experimental study of the quantum size effect modulated metalation reaction of phthalocyanine (H(2)Pc) by low temperature scanning tunneling microscopy. When iron atoms were deposited onto Pb(111) thin films (2-5 nm thick) precovered by a self-assembled H(2)Pc monolayer, a surface metalation reaction to iron phthalocyanine (FePc) was observed. The amount of the FePc products ...

The conversion of mechanical to chemical energy is a natural phenomenon that few synthetic materials have been able to mimic robustly. The fi rst demonstration of mechanical triggering of Belousov–Zhabotinsky (BZ) oscillations is presented in N -isopropylacrylamideco -Ru(bpy) 3 gels for which the oscillatory nature of the BZ reaction can be visualized via periodic changes in color. It is demons...

We present extensions to chemical reaction network theory which are relevant to the analysis of models of biochemical systems. We show that, for positive initial conditions, solutions of a weakly reversible chemical reaction network are bounded and remain in the positive orthant. Thus, weak reversibility implies persistence as conjectured by Martin Feinberg. Our result provides a qualitative cr...

Linearized catalytic reaction equations (modelling, for example, the dynamics of genetic regulatory networks), under the constraint that expression levels, i.e. molecular concentrations of nucleic material, are positive, exhibit non-trivial dynamical properties, which depend on the average connectivity of the reaction network. In these systems, an inflation of the edge of chaos and multi-stabil...