Skip to main content

Research Repository

Advanced Search

All Outputs (1649)

Green Hyperbolic Complexes on Lorentzian Manifolds (2023)
Journal Article
Benini, M., Musante, G., & Schenkel, A. (2023). Green Hyperbolic Complexes on Lorentzian Manifolds. Communications in Mathematical Physics, 403, 699-744. https://doi.org/10.1007/s00220-023-04807-5

We develop a homological generalization of Green hyperbolic operators, called Green hyperbolic complexes, which cover many examples of derived critical loci for gauge-theoretic quadratic action functionals in Lorentzian signature. We define Green hyp... Read More about Green Hyperbolic Complexes on Lorentzian Manifolds.

The Linear CS/WZW Bulk/Boundary System in AQFT (2023)
Journal Article
Benini, M., Grant-Stuart, A., & Schenkel, A. (2024). The Linear CS/WZW Bulk/Boundary System in AQFT. Annales Henri Poincaré, 25, 2251-2294. https://doi.org/10.1007/s00023-023-01346-6

This paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern–Simons/Wess–Zumino–Witten system on a class of 3-manifolds M whose boundary ∂M is endowed with a Lorentzian metric. It is proven that this AQFT is equiva... Read More about The Linear CS/WZW Bulk/Boundary System in AQFT.

Model-driven optimal experimental design for calibrating cardiac electrophysiology models (2023)
Journal Article
Lei, C. L., Clerx, M., Gavaghan, D. J., & Mirams, G. R. (2023). Model-driven optimal experimental design for calibrating cardiac electrophysiology models. Computer Methods and Programs in Biomedicine, 240, Article 107690. https://doi.org/10.1016/j.cmpb.2023.107690

Background and Objective: Models of the cardiomyocyte action potential have contributed immensely to the understanding of heart function, pathophysiology, and the origin of heart rhythm disturbances. However, action potential models are highly nonlin... Read More about Model-driven optimal experimental design for calibrating cardiac electrophysiology models.

Model-driven optimal experimental design for calibrating cardiac electrophysiology models (2023)
Journal Article
Lei, C. L., Clerx, M., Gavaghan, D. J., & Mirams, G. R. (2023). Model-driven optimal experimental design for calibrating cardiac electrophysiology models. Computer Methods and Programs in Biomedicine, 240, Article 107690. https://doi.org/10.1016/j.cmpb.2023.107690

Background and Objective: Models of the cardiomyocyte action potential have contributed immensely to the understanding of heart function, pathophysiology, and the origin of heart rhythm disturbances. However, action potential models are highly nonlin... Read More about Model-driven optimal experimental design for calibrating cardiac electrophysiology models.

Computational Cardiac Safety Testing (2023)
Book Chapter
Mirams, G. R. (2023). Computational Cardiac Safety Testing. In F. J. Hock, M. R. Gralinski, & M. K. Pugsley (Eds.), Drug Discovery and Evaluation: Safety and Pharmacokinetic Assays (1-33). Springer. https://doi.org/10.1007/978-3-030-73317-9_137-1

In recent years, computational cardiac electrophysiology simulations using mathematical models have begun to be used in industrial and regulatory assessment of the proarrhythmic risk of candidate drug compounds. The aim of this chapter is to equip th... Read More about Computational Cardiac Safety Testing.

Black hole minimum size and scalar charge in shift-symmetric theories (2023)
Journal Article
Thaalba, F., Antoniou, G., & Sotiriou, T. P. (2023). Black hole minimum size and scalar charge in shift-symmetric theories. Classical and Quantum Gravity, 40(15), Article 155002. https://doi.org/10.1088/1361-6382/acdd42

It is known that, for shift-symmetric scalars, only a linear coupling with the Gauss-Bonnet invariant can introduce black hole hair. Such hairy black holes have a minimum mass, determined by the coupling of this interaction, and a scalar charge that... Read More about Black hole minimum size and scalar charge in shift-symmetric theories.

Circular motion analogue Unruh effect in a 2 + 1 thermal bath: robbing from the rich and giving to the poor (2023)
Journal Article
D Bunney, C. R., & Louko, J. (2023). Circular motion analogue Unruh effect in a 2 + 1 thermal bath: robbing from the rich and giving to the poor. Classical and Quantum Gravity, 40(15), Article 155001. https://doi.org/10.1088/1361-6382/acde3b

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration a experiences the Minkowski vacuum as a thermal state at temperature 𝘛ᵤ = 𝑎/(2π). An observer in uniform circular motion experiences a similar effective t... Read More about Circular motion analogue Unruh effect in a 2 + 1 thermal bath: robbing from the rich and giving to the poor.

Parallel Implementation of Nonadditive Gaussian Process Potentials for Monte Carlo Simulations (2023)
Journal Article
Broad, J., Wheatley, R. J., & Graham, R. S. (2023). Parallel Implementation of Nonadditive Gaussian Process Potentials for Monte Carlo Simulations. Journal of Chemical Theory and Computation, 19(13), 4322-4333. https://doi.org/10.1021/acs.jctc.3c00113

A strategy is presented to implement Gaussian process potentials in molecular simulations through parallel programming. Attention is focused on the three-body nonadditive energy, though all algorithms extend straightforwardly to the additive energy.... Read More about Parallel Implementation of Nonadditive Gaussian Process Potentials for Monte Carlo Simulations.

Spatially penalized registration of multivariate functional data (2023)
Journal Article
Guo, X., Kurtek, S., & Bharath, K. (2023). Spatially penalized registration of multivariate functional data. Spatial Statistics, 56, Article 100760. https://doi.org/10.1016/j.spasta.2023.100760

Registration of multivariate functional data involves handling of both cross-component and cross-observation phase variations. Allowing for the two phase variations to be modelled as general diffeomorphic time warpings, in this work we focus on the h... Read More about Spatially penalized registration of multivariate functional data.

An effective model for boundary vortices in thin-film micromagnetics (2023)
Journal Article
Kurzke, M., & Ignat, R. (2023). An effective model for boundary vortices in thin-film micromagnetics. Mathematical Models and Methods in Applied Sciences, 33(9), 1929-1973. https://doi.org/10.1142/S021820252350046X

Ferromagnetic materials are governed by a variational principle which is nonlocal, nonconvex and multiscale. The main object is given by a unit-length three-dimensional vector field, the magnetization, that corresponds to the stable states of the mic... Read More about An effective model for boundary vortices in thin-film micromagnetics.

Machine Learning: The Dimension of a Polytope (2023)
Book Chapter
Coates, T., Hofscheier, J., & Kasprzyk, A. M. (2023). Machine Learning: The Dimension of a Polytope. In Machine Learning in Pure Mathematics and Theoretical Physics (85-104). World Scientific. https://doi.org/10.1142/9781800613706_0003

We use machine learning to predict the dimension of a lattice polytope directly from its Ehrhart series. This is highly effective, achieving almost 100% accuracy. We also use machine learning to recover the volume of a lattice polytope from its Ehrha... Read More about Machine Learning: The Dimension of a Polytope.

Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties (2023)
Journal Article
King, J. R., Richardson, G. W., & Foster, J. M. (2023). Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties. European Journal of Applied Mathematics, 34(5), 1099-1132. https://doi.org/10.1017/S0956792523000098

The dynamics of interfaces in slow diffusion equations with strong absorption are studied. Asymptotic methods are used to give descriptions of the behaviour local to a comprehensive range of possible singular events that can occur in any evolution. T... Read More about Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties.

Spectral properties of substitutions on compact alphabets (2023)
Journal Article
Mañibo, N., Rust, D., & Walton, J. J. (2023). Spectral properties of substitutions on compact alphabets. Bulletin of the London Mathematical Society, 55(5), 2425-2445. https://doi.org/10.1112/blms.12872

We consider substitutions on compact alphabets and provide sufficient conditions for the diffraction to be pure point, absolutely continuous and singular continuous. This allows one to construct examples for which the Koopman operator on the associat... Read More about Spectral properties of substitutions on compact alphabets.

Bayesian Model Choice for Directional Data (2023)
Journal Article
Fallaize, C. J., & Kypraios, T. (2024). Bayesian Model Choice for Directional Data. Journal of Computational and Graphical Statistics, 33(1), 25-34. https://doi.org/10.1080/10618600.2023.2206076

This article is concerned with the problem of choosing between competing models for directional data. In particular, we consider the question of whether or not two independent samples of axial data come from the same Bingham distribution. This is not... Read More about Bayesian Model Choice for Directional Data.

A dynamical model of TGF-β activation in asthmatic airways (2023)
Journal Article
Pybus, H. J., O’dea, R. D., & Brook, B. S. (2023). A dynamical model of TGF-β activation in asthmatic airways. Mathematical Medicine and Biology, 40(3), 238-265. https://doi.org/10.1093/imammb/dqad004

Excessive activation of the regulatory cytokine transforming growth factor β (TGF-β) via contraction of airway smooth muscle (ASM) is associated with the development of asthma. In this study, we develop an ordinary differential equation model that de... Read More about A dynamical model of TGF-β activation in asthmatic airways.

Influence of setting-dependent contacts and protective behaviours on asymptomatic SARS-CoV-2 infection amongst members of a UK university (2023)
Journal Article
Fairbanks, E. L., Bolton, K. J., Jia, R., Figueredo, G. P., Knight, H., & Vedhara, K. (2023). Influence of setting-dependent contacts and protective behaviours on asymptomatic SARS-CoV-2 infection amongst members of a UK university. Epidemics, 43, Article 100688. https://doi.org/10.1016/j.epidem.2023.100688

We survey 62 users of a university asymptomatic SARS-CoV-2 testing service on details of their activities, protective behaviours and contacts in the 7 days prior to receiving a positive or negative SARS-CoV-2 PCR test result in the period October 202... Read More about Influence of setting-dependent contacts and protective behaviours on asymptomatic SARS-CoV-2 infection amongst members of a UK university.

Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators (2023)
Journal Article
Strocchi, M., Longobardi, S., Augustin, C. M., Gsell, M. A. F., Petras, A., Rinaldi, C. A., …Niederer, S. A. (2023). Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators. PLoS Computational Biology, 19(6), Article e1011257. https://doi.org/10.1371/journal.pcbi.1011257

Cardiac pump function arises from a series of highly orchestrated events across multiple scales. Computational electromechanics can encode these events in physics-constrained models. However, the large number of parameters in these models has made th... Read More about Cell to whole organ global sensitivity analysis on a four-chamber heart electromechanics model using Gaussian processes emulators.

The effect of incentivising pre-class reading on engagement and student performance (2023)
Journal Article
Shaker, A. J., Brignell, C., & Pugh, M. (2023). The effect of incentivising pre-class reading on engagement and student performance. International Journal of Mathematical Education in Science and Technology, Article 2214562. https://doi.org/10.1080/0020739X.2023.2214562

A commonly-held belief is that many university students are ‘assessment-driven’; that is, students engage more with activities that are assessed compared with those that are not. ‘Incentivised engagement’ includes the practice of providing incentives... Read More about The effect of incentivising pre-class reading on engagement and student performance.

The impact of temporal lobe epilepsy surgery on picture naming and its relationship to network metric change. (2023)
Journal Article
Peter Binding, L., Neal Taylor, P., O'Keeffe, A. G., Giampiccolo, D., Fleury, M., Xiao, F., …Vos, S. B. (2023). The impact of temporal lobe epilepsy surgery on picture naming and its relationship to network metric change. NeuroImage: Clinical, 38, Article 103444. https://doi.org/10.1016/j.nicl.2023.103444

Background: Anterior temporal lobe resection (ATLR) is a successful treatment for medically-refractory temporal lobe epilepsy (TLE). In the language-dominant hemisphere, 30%- 50% of individuals experience a naming decline which can impact upon daily... Read More about The impact of temporal lobe epilepsy surgery on picture naming and its relationship to network metric change..