Outputs (29)

Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes (2010)
Journal Article
Ohl, T., & Schenkel, A. (2010). Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes. General Relativity and Gravitation, 42(12), 2785–2798. https://doi.org/10.1007/s10714-010-1016-2

In this article we study the quantization of a free real scalar field on a class of noncommutative manifolds, obtained via formal deformation quantization using triangular Drinfel'd twists. We construct deformed quadratic action functionals and compu... Read More about Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes.

Preferred foliation effects in Quantum General Relativity (2010)
Journal Article
Koslowski, T., & Schenkel, A. (2010). Preferred foliation effects in Quantum General Relativity. Classical and Quantum Gravity, 27(13), Article 135014. https://doi.org/10.1088/0264-9381/27/13/135014

We investigate the infrared (IR) effects of Lorentz violating terms in the gravitational sector using functional renormalization group methods similar to Reuter and collaborators. The model we consider consists of pure quantum gravity coupled to a pr... Read More about Preferred foliation effects in Quantum General Relativity.

Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem (2010)
Journal Article
Cliffe, A., Hall, E., Houston, P., Phipps, E. T., & Salinger, A. G. (2010). Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem. Communications in Computational Physics, 8(4), 845-865. https://doi.org/10.4208/cicp.290709.120210a

This article is concerned with the numerical detection of bifurcation points of nonlinear partial differential equations as some parameter of interest is varied. In particular, we study in detail the numerical approximation of the Bratu problem, base... Read More about Adaptivity and a posteriori error control for bifurcation problems I: the Bratu problem.

The influence of bioreactor geometry and the mechanical environment on engineered tissues (2010)
Journal Article
Osborne, J., O'Dea, R. D., Whiteley, J., Byrne, H., & Waters, S. (2010). The influence of bioreactor geometry and the mechanical environment on engineered tissues. Journal of Biomechanical Engineering, 132(5), Article 051006. https://doi.org/10.1115/1.4001160

A three phase model for the growth of a tissue construct within a perfusion bioreactor is examined. The cell population (and attendant extracellular matrix), culture medium and porous scaffold are treated as distinct phases. The bioreactor system is... Read More about The influence of bioreactor geometry and the mechanical environment on engineered tissues.

Adaptivity and a posteriori error control for bifurcation problems II: Incompressible fluid flow in open systems with Z_2 symmetry (2010)
Journal Article
Cliffe, A., Hall, E., Houston, P., Phipps, E. T., & Salinger, A. G. Adaptivity and a posteriori error control for bifurcation problems II: Incompressible fluid flow in open systems with Z_2 symmetry. Manuscript submitted for publication

In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the bifurcation problem associated with the steady incompressible Navier-Stokes equations. Particula... Read More about Adaptivity and a posteriori error control for bifurcation problems II: Incompressible fluid flow in open systems with Z_2 symmetry.

Depolarization induced suppression of excitation and the emergence of ultraslow rhythms in neural networks (2010)
Journal Article
Hlinka, J., Hlinka, J., & Coombes, S. (2010). Depolarization induced suppression of excitation and the emergence of ultraslow rhythms in neural networks. Physical Review Letters, 104(6), https://doi.org/10.1103/PhysRevLett.104.068101

Ultraslow fluctuations (0.01-0.1 Hz) are a feature of intrinsic brain activity of as yet unclear origin. We propose a candidate mechanism based on retrograde endocannabinoid signaling in a synaptically coupled network of excitatory neurons. This is k... Read More about Depolarization induced suppression of excitation and the emergence of ultraslow rhythms in neural networks.

Normed algebras of differentiable functions on compact plane sets (2010)
Journal Article
Dales, H., & Feinstein, J. (2010). Normed algebras of differentiable functions on compact plane sets. Indian Journal of Pure and Applied Mathematics, 41(1), https://doi.org/10.1007/s13226-010-0005-1

We investigate the completeness and completions of the normed algebras (D(1)(X),∥•∥) for perfect, compact plane sets X. In particular, we construct a radially self-absorbing, compact plane set X such that the normed algebra (D(1)(X),∥•∥) is not compl... Read More about Normed algebras of differentiable functions on compact plane sets.

A new method for conditioning stochastic groundwater flow models in fractured media (2010)
Journal Article
Milne, A., Cliffe, A., Holton, D., Houston, P., Jackson, C. P., & Joyce, S. A new method for conditioning stochastic groundwater flow models in fractured media. Manuscript submitted for publication

Many geological formations consist of crystalline rocks that have very low matrix permeability but allow flow through an interconnected network of fractures. Understanding the flow of groundwater through such rocks is important in considering disposa... Read More about A new method for conditioning stochastic groundwater flow models in fractured media.

Large-scale neural dynamics: Simple and complex (2010)
Journal Article
Coombes, S. (2010). Large-scale neural dynamics: Simple and complex. NeuroImage, 52(3), 731-739. https://doi.org/10.1016/j.neuroimage.2010.01.045

We review the use of neural field models for modelling the brain at the large scales necessary for interpreting EEG, fMRI, MEG and optical imaging data. Albeit a framework that is limited to coarse-grained or mean-field activity, neural field models... Read More about Large-scale neural dynamics: Simple and complex.

An SIR epidemic model on a population with random network and household structure and several types of individuals (2010)
Journal Article
Ball, F. G., & Sirl, D. J. An SIR epidemic model on a population with random network and household structure and several types of individuals. Manuscript submitted for publication

We consider a stochastic SIR (susceptible → infective → removed) epidemic model with several types of individuals. Infectious individuals can make infectious contacts on two levels, within their own ‘household’ and with their neighbours in a random g... Read More about An SIR epidemic model on a population with random network and household structure and several types of individuals.