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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.

Simulation Optimization of the Crossdock Door Assignmnet Problem
Presentation / Conference Contribution
Aickelin, U., & Adewunmi, A. (2006). Simulation Optimization of the Crossdock Door Assignmnet Problem.

The purpose of this report is to present the Crossdock Door Assignment Problem, which involves assigning destinations to outbound dock doors of Crossdock centres such that travel distance by material handling equipment is minimized. We propose a two... Read More about Simulation Optimization of the Crossdock Door Assignmnet Problem.

Improved Squeaky Wheel Optimisation for Driver Scheduling
Presentation / Conference Contribution
Aickelin, U., Burke, E., & Li, J. Improved Squeaky Wheel Optimisation for Driver Scheduling.

This paper presents a technique called Improved Squeaky Wheel Optimisation (ISWO) for driver scheduling problems. It improves the original Squeaky Wheel Optimisation’s (SWO) effectiveness and execution speed by incorporating two additional steps of S... Read More about Improved Squeaky Wheel Optimisation for Driver Scheduling.

BioHEL: Bioinformatics-oriented Hierarchical Evolutionary Learning
Book
Bacardit, J., & Krasnogor, N. (2006). BioHEL: Bioinformatics-oriented Hierarchical Evolutionary Learning. Computer Science & IT

This technical report briefly describes our recent work in the iterative
rule learning approach (IRL) of evolutionary learning/genetics-based machine learning. This approach was initiated by the SIA system.
A more recent example is HIDER. Our approac... Read More about BioHEL: Bioinformatics-oriented Hierarchical Evolutionary Learning.

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.

Modelling Immunological Memory
Book Chapter
Garrett, S., Robbins, M., Walker, J., Wilson, W., & Aickelin, U. Modelling Immunological Memory. In D. Flower, & J. Timmis (Eds.), Silico Immunology. Springer

Accurate immunological models offer the possibility of performing highthroughput experiments in silico that can predict, or at least suggest, in vivo phenomena. In this chapter, we compare various models of immunological memory. We first validate an... Read More about Modelling Immunological Memory.

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.

Articulation and Clarification of the Dendric Cell Algorithm
Presentation / Conference Contribution
Greensmith, J., Aickelin, U., & Twycross, J. Articulation and Clarification of the Dendric Cell Algorithm.

The Dendritic Cell algorithm (DCA) is inspired by recent
work in innate immunity. In this paper a formal description of the DCA is given. The DCA is described in detail, and its use as an anomaly detector is illustrated within the context of compute... Read More about Articulation and Clarification of the Dendric Cell Algorithm.

Dendritic Cells for Anomaly Detection
Presentation / Conference Contribution
Greensmith, J., Twycross, J., & Aickelin, U. Dendritic Cells for Anomaly Detection.

Artificial immune systems, more specifically the negative selection algorithm, have previously been applied to intrusion detection. The aim of this research is to develop
an intrusion detection system based on a novel concept in
immunology, the Dan... Read More about Dendritic Cells for Anomaly Detection.

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.