This paper studies the implication of unit root supply shocks for the Taylor rule. I find that, when supply shocks have a unit root, if a central bank wishes to guarantee the stationarity of inflation, then their interest rate reaction function should not respond to the output gap. Once the stationarity of inflation is guaranteed by the output-gap-response parameter, the ‘‘Taylor principle’’ ca...

A reaction-diffusion population model with a general time-delayed growth rate per capita is considered. From a careful analysis of the characteristic equation, the stability of the positive steady state solution and the existence of supercritical Hopf bifurcation from the positive steady state solution are obtained via the implicit function theorem, where the time delay is used as the bifurcati...

Systems that model chemical networks are often defined through a set of parameters (the reaction rate constants) whose values may be determined with a small margin of error. These parameters will typically also appear in the construction of observers. The idea of robustness of observers with respect to the parameters is discussed. A definition of parameter-robustness is proposed and an explicit...

We have built a detailed kinetic model of translation initiation in yeast and have used a novel approach to determine the flux controlling steps based on limited experimental data. An efficient parameter estimation method was adapted in order to fit the most uncertain parameters (rate constants) to in vivo measurements in yeast. However, it was found that there were many other sets of plausible...

We are interested in finding the kinetic parameters of a chemical reaction. Previous methods for finding these parameters rely on the dynamic behaviour of the system. This means that the methods are time-sensitive and often rely on non-linear curve fitting. In the same manner as previous techniques, we consider the concentrations of chemicals in a reaction. However, we investigate the static be...

The reaction rate equations of chemical kinetics provide a useful model for molecular self assembly, which can be exhibited as a continuous-time, continuous-space limit under the LLN (law of large numbers) scaling. The model takes the form of a set of first order, usually nonlinear ODEs describing the concentrations of the various reactants. With explicit solutions in mind, these systems have r...