Dynamic instabilities in scalar neural field equations with space-dependent delays

In this paper we consider a class of scalar integral equations with a form of space-dependent delay. These non-local models arise naturally when modelling neural tissue with active axons and passive dendrites. Such systems are known to support a dynamic (oscillatory) Turing instability of the homogeneous steady state. In this paper we develop a weakly nonlinear analysis of the travelling and standing waves that form beyond the point of instability. The appropriate amplitude equations are found to be the coupled mean-field Ginzburg-Landau equations describing a Turing-Hopf bifurcation with modulation group velocity of O(1). Importantly we are able to obtain the coefficients of terms in the amplitude equations in terms of integral transforms of the spatio-temporal kernels defining the neural field equation of interest. Indeed our results cover not only models with axonal or dendritic delays but those which are described by a more general distribution of delayed spatio-temporal interactions. We illustrate the predictive power of this form of analysis with comparison against direct numerical simulations, paying particular attention to the competition between standing and travelling waves and the onset of Benjamin-Feir instabilities.

Avian flu: the creation of expectations in the interplay between science and the media

This paper examines the emerging cultural patterns and interpretative repertoires in reports of an impending pandemic of avian flu in the UK mass media and scientific journals at the beginning of 2005, paying particular attention to metaphors, pragmatic markers ('risk signals'), symbolic dates and scare statistics used by scientists and the media to create expectations and elicit actions. This study complements other work on the metaphorical framing of infectious disease, such as foot and mouth disease and SARS, tries to link it to developments in the sociology of expectations and applies insights from pragmatics both to the sociology of metaphor and the sociology of expectations.

Carbon reduction activism in the UK: lexical creativity and lexical framing in the context of climate change

This article examines discourses associated with a new environmental movement, “Carbon Rationing Action Groups” (CRAGs). This case study is intended to contribute to a wider investigation of the emergence of a new type of language used to debate climate change mitigation. Advice on how to reduce one's “carbon footprint,” for example, is provided almost daily. Much of this advice is framed by the use of metaphors and “carbon compounds”—lexical combinations of at least two roots—such as “carbon finance” or “low carbon diet.” The study uses a combination of tools from frame analysis and lexical pragmatics within the general framework of ecolinguistics to compare and contrast language use on the CRAGs' website with press coverage reporting on them. The analysis shows how the use of such lexical carbon compounds enables and facilitates different types of metaphorical frames such as dieting, finance and tax paying, war time rationing, and religious imperatives in the two corpora.