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Existence and wandering of bumps in a spiking neural network model
Journal Article
Chow, C., & Coombes, S. (2006). Existence and wandering of bumps in a spiking neural network model

We study spatially localized states of a spiking neuronal network populated by a pulse coupled phase oscillator known as the lighthouse model. We show that in the limit of slow synaptic interactions in the continuum limit the dynamics reduce to tho... Read More about Existence and wandering of bumps in a spiking neural network model.

Discrete breathers in a two-dimensional Fermi-Pasta-Ulam lattice
Journal Article
Butt, I. A., & Wattis, J. A. Discrete breathers in a two-dimensional Fermi-Pasta-Ulam lattice. Journal of Physics A: Mathematical and General, 39,

Using asymptotic methods, we investigate whether discrete breathers are supported by a two-dimensional Fermi-Pasta-Ulam lattice. A scalar (one-component) two-dimensional Fermi-Pasta-Ulam lattice is shown to model the charge stored within an electr... Read More about Discrete breathers in a two-dimensional Fermi-Pasta-Ulam lattice.

Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes
Journal Article
Coveney, P. V., & Wattis, J. A. Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes. Molecular Physics, 104,

We review our work on generalisations of the Becker-Doring model of cluster-formation as applied to nucleation theory, polymer growth kinetics, and the formation of upramolecular structures in colloidal chemistry. One valuable tool in analysing math... Read More about Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes.

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
Journal Article
Georgoulis, E. H., Hall, E., & Houston, P. (2006). Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes

In this paper we consider the a posteriori and a priori error analysis of discontinuous Galerkin interior penalty methods for second-order partial differential equations with nonnegative characteristic form on anisotropically refined computational me... Read More about Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes.

Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
Journal Article
Georgoulis, E. H., Hall, E., & Houston, P. (2006). Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis

We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite... Read More about Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis.

A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
Journal Article
Houston, P., Suli, E., & Wihler, T. P. (2006). A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems

We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations. Computable upper and lower bounds on the error ar... Read More about A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems.

A Component Based Heuristic Search Method with AdaptivePerturbations for Hospital Personnel Scheduling
Journal Article
Li, J., Aickelin, U., & Burke, E. A Component Based Heuristic Search Method with AdaptivePerturbations for Hospital Personnel Scheduling

Nurse rostering is a complex scheduling problem that affects hospital personnel on a daily basis all over the world. This paper presents a new component-based approach with adaptive perturbations, for a nurse scheduling problem arising at a major UK... Read More about A Component Based Heuristic Search Method with AdaptivePerturbations for Hospital Personnel Scheduling.

DNA charge neutralisation by linear polymers I: irreversible binding
Journal Article
Maltsev, E., Wattis, J. A., & Byrne, H. M. DNA charge neutralisation by linear polymers I: irreversible binding. Physical Review E, 74,

We develop a deterministic mathematical model to describe the way in which polymers bind to DNA by considering the dynamics of the gap distribution that forms when polymers bind to a DNA plasmid. In so doing, we generalise existing theory to accou... Read More about DNA charge neutralisation by linear polymers I: irreversible binding.

DNA charge neutralisation by linear polymers II: reversible binding
Journal Article
Maltsev, E., Wattis, J. A., & Byrne, H. M. DNA charge neutralisation by linear polymers II: reversible binding. Physical Review E, 74,

We model the way in which polymers bind to DNA and neutralise its charged backbone by analysing the dynamics of the distribution of gaps along the DNA. We generalise existing theory for irreversible binding to construct new deterministic models... Read More about DNA charge neutralisation by linear polymers II: reversible binding.

New ethnicities online: reflexive racialisation and the internet
Journal Article
Parker, D., & Song, M. New ethnicities online: reflexive racialisation and the internet. Sociological Review, 54(3),

In this article we analyse the emergence of Internet activity addressing the experiences of young people in two British communities: South Asian and Chinese.We focus on two web sites: www.barficulture.com and www.britishbornchinese.org.uk, drawing on... Read More about New ethnicities online: reflexive racialisation and the internet.

Safety and complexity: the inter-departmental threats to patient safety in the operating department
Journal Article
Waring, J., McDonald, R., & Harrison, S. Safety and complexity: the inter-departmental threats to patient safety in the operating department. Journal of Health Organization and Management, 20(3), https://doi.org/10.1108/14777260610662753

Purpose: Current thinking about ‘patient safety’ emphasises the causal relationship between the work environment and the delivery of clinical care. This research draws on the theory of Normal Accidents to extend this analysis and better understand th... Read More about Safety and complexity: the inter-departmental threats to patient safety in the operating department.

An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach
Journal Article
Wattis, J. A. An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach. Physica D: Nonlinear Phenomena, 222,

We summarise the properties and the fundamental mathematical results associated with basic models which describe coagulation and fragmentation processes in a deterministic manner and in which cluster size is a discrete quantity (an integer multip... Read More about An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach.

Exact solutions for cluster-growth kinetics with evolving size and shape profiles
Journal Article
Wattis, J. A. Exact solutions for cluster-growth kinetics with evolving size and shape profiles. Journal of Physics A: Mathematical and General, 39,

In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are clu... Read More about Exact solutions for cluster-growth kinetics with evolving size and shape profiles.

Lord Home and Anglo–American relations, 1961–1963
Journal Article
Holt, A. Lord Home and Anglo–American relations, 1961–1963. Diplomacy and Statecraft, 16(4), https://doi.org/10.1080/09592290500331014

This article focuses on the role of Lord Home, the British Foreign Secretary, in the conduct of Anglo–American relations between 1961 and 1963. It studies three controversial policy areas: the newly independent states of Laos and the Congo, along wit... Read More about Lord Home and Anglo–American relations, 1961–1963.