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Hypergraphon mean field games (2022)
Journal Article
Cui, K., KhudaBukhsh, W. R., & Koeppl, H. (2022). Hypergraphon mean field games. Chaos, 32(11), Article 113129. https://doi.org/10.1063/5.0093758

We propose an approach to modeling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of large hyperg... Read More about Hypergraphon mean field games.

The Leydig cell biomarker INSL3 as a predictor of age-related morbidity: Findings from the EMAS cohort (2022)
Journal Article
Ivell, R., Heng, K., Severn, K., Antonio, L., Bartfai, G., Casanueva, F. F., …Anand-Ivell, R. (2022). The Leydig cell biomarker INSL3 as a predictor of age-related morbidity: Findings from the EMAS cohort. Frontiers in Endocrinology, 13, Article 1016107. https://doi.org/10.3389/fendo.2022.1016107

Background: Insulin-like peptide 3 (INSL3) is a constitutive hormone secreted in men by the mature Leydig cells of the testes. It is an accurate biomarker for Leydig cell functional capacity, reflecting their total cell number and differentiation sta... Read More about The Leydig cell biomarker INSL3 as a predictor of age-related morbidity: Findings from the EMAS cohort.

Uncertainty and error in SARS-CoV-2 epidemiological parameters inferred from population-level epidemic models (2022)
Journal Article
Whittaker, D. G., Herrera-Reyes, A. D., Hendrix, M., Owen, M. R., Band, L. R., Mirams, G. R., …Preston, S. P. (2023). Uncertainty and error in SARS-CoV-2 epidemiological parameters inferred from population-level epidemic models. Journal of Theoretical Biology, 558, Article 111337. https://doi.org/10.1016/j.jtbi.2022.111337

During the SARS-CoV2 pandemic, epidemic models have been central to policy-making. Public health responses have been shaped by model-based projections and inferences, especially related to the impact of various non-pharmaceutical interventions. Accom... Read More about Uncertainty and error in SARS-CoV-2 epidemiological parameters inferred from population-level epidemic models.

Ensemble Kalman inversion for magnetic resonance elastography. (2022)
Journal Article
Iglesias, M., McGrath, D. M., Tretyakov, M. V., & Francis, S. T. (2022). Ensemble Kalman inversion for magnetic resonance elastography. Physics in Medicine and Biology, 67(23), Article 235003. https://doi.org/10.1088/1361-6560/ac9fa1

Magnetic Resonance Elastography (MRE) is an MRI-based diagnostic method for measuring mechanical properties of biological tissues. MRE measurements are processed by an inversion algorithm to produce a map of the biomechanical properties. In this pape... Read More about Ensemble Kalman inversion for magnetic resonance elastography..

Nuanced Interactions between AKAP79 and STIM1 with Orai1 Ca 2+ Channels at Endoplasmic Reticulum-Plasma Membrane Junctions Sustain NFAT Activation (2022)
Journal Article
Lin, Y., Scappini, E., Landaverde, C., Parekh-Glitsch, F., Tucker, C. J., Mirams, G. R., & Parekh, A. B. (2022). Nuanced Interactions between AKAP79 and STIM1 with Orai1 Ca 2+ Channels at Endoplasmic Reticulum-Plasma Membrane Junctions Sustain NFAT Activation. Molecular and Cellular Biology, 42(11), Article e00175-22. https://doi.org/10.1128/mcb.00175-22

A-kinase anchoring protein 79 (AKAP79) is a human scaffolding protein that organizes Ca2+/calmodulin-dependent protein phosphatase calcineurin, calmodulin, cAMP-dependent protein kinase, protein kinase C, and the transcription factor nuclear factor o... Read More about Nuanced Interactions between AKAP79 and STIM1 with Orai1 Ca 2+ Channels at Endoplasmic Reticulum-Plasma Membrane Junctions Sustain NFAT Activation.

An epidemic model with short-lived mixing groups (2022)
Journal Article
Ball, F., & Neal, P. (2022). An epidemic model with short-lived mixing groups. Journal of Mathematical Biology, 85(6-7), Article 63. https://doi.org/10.1007/s00285-022-01822-3

Almost all epidemic models make the assumption that infection is driven by the interaction between pairs of individuals, one of whom is infectious and the other of whom is susceptible. However, in society individuals mix in groups of varying sizes, a... Read More about An epidemic model with short-lived mixing groups.

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.

A quantum graph approach to metamaterial design (2022)
Journal Article
Lawrie, T., Tanner, G., & Chronopoulos, D. (2022). A quantum graph approach to metamaterial design. Scientific Reports, 12(1), Article 18006. https://doi.org/10.1038/s41598-022-22265-2

Since the turn of the century, metamaterials have gained a large amount of attention due to their potential for possessing highly nontrivial and exotic properties—such as cloaking or perfect lensing. There has been a great push to create reliable mat... Read More about A quantum graph approach to metamaterial design.

Derivatives of L-series of weakly holomorphic cusp forms (2022)
Journal Article
Diamantis, N., & Stromberg, F. (2022). Derivatives of L-series of weakly holomorphic cusp forms. Research in the Mathematical Sciences, 9(4), Article 64. https://doi.org/10.1007/s40687-022-00363-x

Based on the theory of L-series associated with weakly holomorphic modular forms in Diamantis et al. (L-series of harmonic Maass forms and a summation formula for harmonic lifts. arXiv:2107.12366), we derive explicit formulas for central values of de... Read More about Derivatives of L-series of weakly holomorphic cusp forms.

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.

Calibrating cardiac electrophysiology models using latent Gaussian processes on atrial manifolds (2022)
Journal Article
Coveney, S., Roney, C. H., Corrado, C., Wilkinson, R. D., Oakley, J. E., Niederer, S. A., & Clayton, R. H. (2022). Calibrating cardiac electrophysiology models using latent Gaussian processes on atrial manifolds. Scientific Reports, 12, Article 16572. https://doi.org/10.1038/s41598-022-20745-z

Models of electrical excitation and recovery in the heart have become increasingly detailed, but have yet to be used routinely in the clinical setting to guide personalized intervention in patients. One of the main challenges is calibrating models fr... Read More about Calibrating cardiac electrophysiology models using latent Gaussian processes on atrial manifolds.

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.

Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields (2022)
Journal Article
Pescimoro, E., Icardi, M., Porta, G., & Bianchi, M. (2022). Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields. GEM - International Journal on Geomathematics, 13, Article 17. https://doi.org/10.1007/s13137-022-00207-4

We present a numerical simulation study of advective–diffusive scalar transport in three-dimensional high-contrast discontinuous permeability fields, generated with a truncated pluri-Gaussian geostatistical approach. The numerical experiments are run... Read More about Emergence of non-Fickian transport in truncated pluri-Gaussian permeability fields.