Nonlinear diffusion has long proven its capability for discontinuity-preserving removal of noise in image processing. We investigate the possibility to employ diffusion ideas for the denoising of audio signals. An important difference between image and audio signals is which parts of the signal are considered as useful information and noise. While small-scale oscillations in visual images are n...

Social networks often serve as a medium for the diffusion of ideas or innovations. An individual’s decision whether to adopt a product or innovation will be highly dependent on the choices made by the individual’s peers or neighbors in the social network. In this work, we study the game of innovation diffusion with multiple competing innovations such as when multiple companies market competing ...

This paper sets out the key ideas, models and debates within the diffusion of innovations (DoI) literature and reviews the implications of these for developing a better understanding of research utilisation and evidence-based policy and practice (EBPP) implementation. The analytical review of the literature is organised around the types of knowledge at issue, the forms of utilisation that are e...

One of the most fundamental questions in biology is that of biological pattern: how do the structures and shapes of organisms arise? Undoubtedly, the two most influential ideas in this area are those of Alan Turing’s ‘reaction-diffusion’ and Lewis Wolpert’s ‘positional information’. Much has been written about these two concepts but some confusion still remains, in particular about the relation...

The adoption of new ideas and practices is affected by at least five factors: 1) the type of decision involved in adoption; 2) perceived attributes of the innovation; 3) communication channels used; 4) nature of the client system; and 5) the extent of the practitioner’s effort (Lamble. 1984). A major function of extension practitioners is to facilitate the adoption of new ideas and practices or...

The process of innovation involves getting new ideas accepted and new technologies adopted and used. A number of approaches to the theorising of technological innovation exist, but this article will compare and contrast just two: Innovation Diffusion and Innovation Translation, giving examples of how each approach is used in different situations. While there are many advantages to use of a Tran...

Recent availability of electronically accessible databases of journal articles makes studies of the diffusion of papers through citations possible. Citation peaks have been found to be typically five to seven years, with a long tailing off. A seminal paper on theoretical and applied efficiency analysis followed quite another diffusion pattern. We identify four papers in the three decades follow...