Outputs (136)

Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit (2022)
Journal Article
Billingham, J., & Needham, D. J. (2022). Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit. Nonlinearity, 35(12), 6098-6123. https://doi.org/10.1088/1361-6544/ac98ea

We study non-negative travelling wave solutions, u ≡ U (x − ct) with constant wavespeed c > 0, of the cubic nonlocal Fisher-KPP equation in one spatial dimension, namely, ∂u ∂t = ∂ 2 u ∂x 2 + u 2 1 − 1 λ ∞ −∞ ϕ y − x λ u (y, t) dy , for (x, t) ∈ R ×... Read More about Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit.

Fishery improvement projects: A voluntary, corporate “tool” not fit for the purpose of mitigating labour abuses and guaranteeing labour rights for workers (2022)
Journal Article
Williams, C., & Decker Sparks, J. L. (2023). Fishery improvement projects: A voluntary, corporate “tool” not fit for the purpose of mitigating labour abuses and guaranteeing labour rights for workers. Marine Policy, 147, Article 105340. https://doi.org/10.1016/j.marpol.2022.105340

The recent development of a Human Rights and Social Responsibility Policy for fishery improvement projects (FIPs) has accelerated industry and NGO-led initiatives to address human and labour rights violations in seafood supply chains through FIPs. Ho... Read More about Fishery improvement projects: A voluntary, corporate “tool” not fit for the purpose of mitigating labour abuses and guaranteeing labour rights for workers.

Projected Least-Squares Quantum Process Tomography (2022)
Journal Article
Surawy-Stepney, T., Kahn, J., Kueng, R., & Guta, M. (in press). Projected Least-Squares Quantum Process Tomography. Quantum, 6, 844. https://doi.org/10.22331/q-2022-10-20-844

We propose and investigate a new method of quantum process tomography (QPT) which we call projected least squares (PLS). In short, PLS consists of first computing the least-squares estimator of the Choi matrix of an unknown channel, and subsequently... Read More about Projected Least-Squares Quantum Process Tomography.

Slugging in horizontal channel flow (2022)
Journal Article
Giddings, J. A., Billingham, J., & Cox, S. M. (2022). Slugging in horizontal channel flow. IMA Journal of Applied Mathematics, 87(5), 906-933. https://doi.org/10.1093/imamat/hxac024

The stratified flow of gas-liquid mixtures is important in many industries, in particular oil and gas, where the formation of liquid slugs is usually undesirable. In this paper, we analyse the hydraulic model for turbulent, two-layer, gas-liquid flow... Read More about Slugging in horizontal channel flow.

GIFT: New method for the genetic analysis of small gene effects involving small sample sizes (2022)
Journal Article
Rauch, C., Kyratzi, P., Blott, S., Bray, S., & Wattis, J. A. D. (2023). GIFT: New method for the genetic analysis of small gene effects involving small sample sizes. Physical Biology, 20(1), Article 016001. https://doi.org/10.1088/1478-3975/ac99b3

Small gene effects involved in complex/omnigenic traits remain costly to analyse using current genome-wide association methods (GWAS) because of the number of individuals required to return meaningful association(s), a.k.a. study power. Inspired by f... Read More about GIFT: New method for the genetic analysis of small gene effects involving small sample sizes.

Friedlander-Keller ray expansions in electromagnetism: Monochromatic radiation from arbitrary surfaces in three dimensions (2022)
Journal Article
Radjen, A. M. R., Tew, R. H., & Gradoni, G. (2023). Friedlander-Keller ray expansions in electromagnetism: Monochromatic radiation from arbitrary surfaces in three dimensions. European Journal of Applied Mathematics, 34(6), 1187-1208. https://doi.org/10.1017/s0956792522000249

The standard approach to applying ray theory to solving Maxwell’s equations in the large wave-number limit involves seeking solutions that have (i) an oscillatory exponential with a phase term that is linear in the wave-number and (ii) has an amplitu... Read More about Friedlander-Keller ray expansions in electromagnetism: Monochromatic radiation from arbitrary surfaces in three dimensions.

Structure-function clustering in weighted brain networks (2022)
Journal Article
Crofts, J. J., Forrester, M., Coombes, S., & O’Dea, R. D. (2022). Structure-function clustering in weighted brain networks. Scientific Reports, 12(1), Article 16793. https://doi.org/10.1038/s41598-022-19994-9

Functional networks, which typically describe patterns of activity taking place across the cerebral cortex, are widely studied in neuroscience. The dynamical features of these networks, and in particular their deviation from the relatively static str... Read More about Structure-function clustering in weighted brain networks.

The role of mathematical models in designing mechanopharmacological therapies for asthma (2022)
Journal Article
Irons, L., & Brook, B. S. (2022). The role of mathematical models in designing mechanopharmacological therapies for asthma. Frontiers in Systems Biology, 2, Article 929426. https://doi.org/10.3389/fsysb.2022.929426

Healthy lung function depends on a complex system of interactions which regulate the mechanical and biochemical environment of individual cells to the whole organ. Perturbations from these regulated processes give rise to significant lung dysfunction... Read More about The role of mathematical models in designing mechanopharmacological therapies for asthma.

On modelling coolant penetration into the microchannels at the tool-workpiece interface (2022)
Journal Article
Wei, W., Robles-Linares, J. A., Liao, Z., Wang, Z., Luna, G. G., Billingham, J., & Axinte, D. (2022). On modelling coolant penetration into the microchannels at the tool-workpiece interface. Journal of Manufacturing Processes, 84, 43-54. https://doi.org/10.1016/j.jmapro.2022.09.044

A network of microchannels is formed at the interface between the cutting tool and the workpiece during machining due to their rough surface structures. The penetration of coolant into these microchannels has a great effect on the machined surface qu... Read More about On modelling coolant penetration into the microchannels at the tool-workpiece interface.

Posterior Predictive Checking for Partially Observed Stochastic Epidemic Models (2022)
Journal Article
Aristotelous, G., Kypraios, T., & O'Neill, P. D. (2023). Posterior Predictive Checking for Partially Observed Stochastic Epidemic Models. Bayesian Analysis, 18(4), 1283-1310. https://doi.org/10.1214/22-ba1336

We address the problem of assessing the fit of stochastic epidemic models to data. Two novel model assessment methods are developed, based on disease progression curves, namely the distance method and the position-time method. The methods are illustr... Read More about Posterior Predictive Checking for Partially Observed Stochastic Epidemic Models.