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Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes (2009)
Journal Article
Ohl, T., & Schenkel, A. (2009). Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes. Journal of High Energy Physics, 2009, Article JHEP01(2009)084. https://doi.org/10.1088/1126-6708/2009/01/084

As a preparation for a mathematically consistent study of the physics of symmetric spacetimes in a noncommutative setting, we study symmetry reductions in deformed gravity. We focus on deformations that are given by a twist of a Lie algebra acting on... Read More about Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes.

Mode locking in a spatially extended neuron model: Active soma and compartmental tree (2009)
Journal Article
Svensson, C. M., Svensson, C.-M., & Coombes, S. (2009). Mode locking in a spatially extended neuron model: Active soma and compartmental tree. International Journal of Bifurcation and Chaos, 19(8), 2597-2607. https://doi.org/10.1142/S0218127409024347

Understanding the mode-locked response of excitable systems to periodic forcing has important applications in neuroscience. For example, it is known that spatially extended place cells in the hippocampus are driven by the theta rhythm to generate a c... Read More about Mode locking in a spatially extended neuron model: Active soma and compartmental tree.

Towards a predictive model of Ca²⁺ puffs (2009)
Journal Article
Thul, R., Thurley, K., & Falcke, M. (2009). Towards a predictive model of Ca²⁺ puffs. Chaos, 19, https://doi.org/10.1063/1.3183809

We investigate key characteristics of Ca²⁺ puffs in deterministic and stochastic frameworks that all incorporate the cellular morphology of IP[subscript]3 receptor channel clusters. In a first step, we numerically study Ca²⁺ liberation in a three dim... Read More about Towards a predictive model of Ca²⁺ puffs.

A computational study of discrete mechanical tissue models (2009)
Journal Article
Pathmanathan, P., Cooper, J., Fletcher, A., Mirams, G., Murray, P., Osborne, J., Pitt-Francis, J., Walter, A., & Chapman, S. J. (2009). A computational study of discrete mechanical tissue models. Physical Biology, 6(3), Article 036001. https://doi.org/10.1088/1478-3975/6/3/036001

A computational study of discrete 'cell-centre' approaches to modelling the evolution of a collection of cells is undertaken. The study focuses on the mechanical aspects of the tissue, in order to separate the passive mechanical response of the model... Read More about A computational study of discrete mechanical tissue models.

Threshold behaviour and final outcome of an epidemic on a random network with household structure (2009)
Journal Article
Ball, F. G., Sirl, D. J., & Trapman, P. (2009). Threshold behaviour and final outcome of an epidemic on a random network with household structure. Advances in Applied Probability, 41(3), https://doi.org/10.1239/aap/1253281063

This paper considers a stochastic SIR (susceptible-infective-removed) epidemic model in which individuals may make infectious contacts in two ways, both within 'households' (which for ease of exposition are assumed to have equal size) and along the e... Read More about Threshold behaviour and final outcome of an epidemic on a random network with household structure.

Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions (2009)
Journal Article
Zhu, L., Giani, S., Houston, P., & Schoetzau, D. Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions. Manuscript submitted for publication

We develop the energy norm a-posteriori error estimation for hp-version discontinuous Galerkin (DG) discretizations of elliptic boundary-value problems on 1-irregularly, isotropically refined affine hexahedral meshes in three dimensions. We derive a... Read More about Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions.

Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions (2009)
Journal Article
Chini, G. P., & Cox, S. M. (2009). Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions. Physics of Fluids, 21, https://doi.org/10.1063/1.3210777

We investigate the structure of strongly nonlinear Rayleigh–Bénard convection cells in the asymptotic limit of large Rayleigh number and fixed, moderate Prandtl number. Unlike the flows analyzed in prior theoretical studies of infinite Prandtl number... Read More about Large Rayleigh number thermal convection: heat flux predictions and strongly nonlinear solutions.

Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics (2009)
Journal Article
Thul, R., Coombes, S., & Smith, G. (2009). Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics. Physica D: Nonlinear Phenomena, 238, https://doi.org/10.1016/j.physd.2009.08.011

We present a bidomain threshold model of intracellular calcium (Ca²⁺) dynamics in which, as suggested by recent experiments, the cytosolic threshold for Ca²⁺ liberation is modulated by the Ca²⁺ concentration in the releasing compartment. We explicitl... Read More about Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics.

Voltage and current spectra for matrix power converters (2009)
Journal Article
Cox, S. M., & Creagh, S. C. (2009). Voltage and current spectra for matrix power converters. SIAM Journal on Applied Mathematics, 69(5), https://doi.org/10.1137/080718863

Matrix power converters are used for transforming one alternating-current power supply to another, with different peak voltage and frequency. There are three input lines, with sinusoidally varying voltages which are 120◦ out of phase one from another... Read More about Voltage and current spectra for matrix power converters.