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Relativistic Perturbation Theory for Black-Hole Boson Clouds (2024)
Journal Article
Cannizzaro, E., Sberna, L., Green, S. R., & Hollands, S. (2024). Relativistic Perturbation Theory for Black-Hole Boson Clouds. Physical Review Letters, 132(5), Article 051401. https://doi.org/10.1103/PhysRevLett.132.051401

We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations.... Read More about Relativistic Perturbation Theory for Black-Hole Boson Clouds.

Insights into oscillator network dynamics using a phase-isostable framework (2024)
Journal Article
Nicks, R., Allen, R., & Coombes, S. (2024). Insights into oscillator network dynamics using a phase-isostable framework. Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), Article 013141. https://doi.org/10.1063/5.0179430

Networks of coupled nonlinear oscillators can display a wide range of emergent behaviors under the variation of the strength of the coupling. Network equations for pairs of coupled oscillators where the dynamics of each node is described by the evolu... Read More about Insights into oscillator network dynamics using a phase-isostable framework.

Vacua in locally de Sitter cosmologies, and how to distinguish them (2024)
Journal Article
Toussaint, V., & Louko, J. (2024). Vacua in locally de Sitter cosmologies, and how to distinguish them. Physical Review D, 109(2), Article 025007. https://doi.org/10.1103/physrevd.109.025007

(1 + 1)-dimensional locally de Sitter–Friedmann-Robertson-Walker cosmologies with compact spatial sections allow cosh, sinh, and exponential evolution laws, each with a freely specifiable spatial circumference parameter, and the value of this paramet... Read More about Vacua in locally de Sitter cosmologies, and how to distinguish them.

A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness (2024)
Journal Article
Boschman, A., Espath, L., & van der Zee, K. G. (2024). A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness. Physica D: Nonlinear Phenomena, 460, Article 134055. https://doi.org/10.1016/j.physd.2024.134055

In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surface materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a bulk-surface dynamics,... Read More about A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness.

Understanding the effect of white matter delays on large scale brain synchrony (2024)
Journal Article
Şaylı, M., & Coombes, S. (2024). Understanding the effect of white matter delays on large scale brain synchrony. Communications in Nonlinear Science and Numerical Simulation, 131, Article 107803. https://doi.org/10.1016/j.cnsns.2023.107803

The presence of myelin is a powerful structural factor that controls the conduction speed of mammalian axons. It is the combination of local synaptic activity and non-local delayed axonal interactions within the cortex that is believed to be the majo... Read More about Understanding the effect of white matter delays on large scale brain synchrony.

Planar diagrammatics of self-adjoint functors and recognizable tree series (2023)
Journal Article
Khovanov, M., & Laugwitz, R. (2023). Planar diagrammatics of self-adjoint functors and recognizable tree series. Pure and Applied Mathematics Quarterly, 19(5), 2409-2499. https://doi.org/10.4310/pamq.2023.v19.n5.a4

A pair of biadjoint functors between two categories produces a collection of elements in the centers of these categories, one for each isotopy class of nested circles in the plane. If the centers are equipped with a trace map into the ground field, t... Read More about Planar diagrammatics of self-adjoint functors and recognizable tree series.

A caustic terminating at an inflection point (2023)
Journal Article
Ockendon, J. R., Ockendon, H., Tew, R. H., Hewett, D. P., & Gibbs, A. (2024). A caustic terminating at an inflection point. Wave Motion, 125, Article 103257. https://doi.org/10.1016/j.wavemoti.2023.103257

We present an asymptotic and numerical study of the evolution of an incoming wavefield which has a caustic close to a curve with an inflection point. Our results reveal the emergence of a wavefield which resembles that of a shadow boundary but has a... Read More about A caustic terminating at an inflection point.

Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting (2023)
Journal Article
Pople, D., Kypraios, T., Donker, T., Stoesser, N., Seale, A. C., George, R., …Robotham, J. (2023). Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting. BMC Medicine, 21(1), Article 492. https://doi.org/10.1186/s12916-023-03007-1

Background Globally, detections of carbapenemase-producing Enterobacterales (CPE) colonisations and infections are increasing. The spread of these highly resistant bacteria poses a serious threat to public health. However, understanding of CPE trans... Read More about Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting.

Flow Matching for Scalable Simulation-Based Inference (2023)
Presentation / Conference
Wildberger, J., Dax, M., Green, S., Buchholz, S., Macke, J., & Schölkopf, B. (2023, December). Flow Matching for Scalable Simulation-Based Inference. Poster presented at Thirty-seventh Conference on Neural Information Processing Systems (NeurIPS 2023), New Orleans, USA

Neural posterior estimation methods based on discrete normalizing flows have become established tools for simulation-based inference (SBI), but scaling them to high-dimensional problems can be challenging. Building on recent advances in generative mo... Read More about Flow Matching for Scalable Simulation-Based Inference.

Towards Inferring Network Properties from Epidemic Data (2023)
Journal Article
Kiss, I. Z., Berthouze, L., & KhudaBukhsh, W. R. (2024). Towards Inferring Network Properties from Epidemic Data. Bulletin of Mathematical Biology, 86(1), Article 6. https://doi.org/10.1007/s11538-023-01235-3

Epidemic propagation on networks represents an important departure from traditional mass-action models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using mean-field... Read More about Towards Inferring Network Properties from Epidemic Data.

On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data (2023)
Journal Article
Chada, N. K., Iglesias, M., Lu, S., & Werner, F. (2023). On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data. SIAM Journal on Scientific Computing, 45(6), A3020-A3046. https://doi.org/10.1137/22m1512442

For numerous parameter and state estimation problems, assimilating new data as they become available can help produce accurate and fast inference of unknown quantities. While most existing algorithms for solving those kind of ill-posed inverse prob... Read More about On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data.

Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport (2023)
Journal Article
Bellows, S., Janes, G., Avitabile, D., King, J. R., Bishopp, A., & Farcot, E. (2023). Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. PLoS Computational Biology, 19(11), Article e1011646. https://doi.org/10.1371/journal.pcbi.1011646

Auxin is a well-studied plant hormone, the spatial distribution of which remains incompletely understood. Here, we investigate the effects of cell growth and divisions on the dynamics of auxin patterning, using a combination of mathematical modelling... Read More about Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport.

Neural variance reduction for stochastic differential equations (2023)
Journal Article
Hinds, P., & Tretyakov, M. (2023). Neural variance reduction for stochastic differential equations. Journal of Computational Finance, 27(3), 1-41. https://doi.org/10.21314/JCF.2023.010

Variance reduction techniques are of crucial importance for the efficiency of Monte Carlo simulations in finance applications. We propose the use of neural SDEs, with control variates parameterized by neural networks, in order to learn approximately... Read More about Neural variance reduction for stochastic differential equations.

Seasonality as a driver of pH1N12009 influenza vaccination campaign impact (2023)
Journal Article
Bolton, K. J., McCaw, J. M., Dafilis, M. P., McVernon, J., & Heffernan, J. M. (2023). Seasonality as a driver of pH1N12009 influenza vaccination campaign impact. Epidemics, 45, Article 100730. https://doi.org/10.1016/j.epidem.2023.100730

Although the most recent respiratory virus pandemic was triggered by a Coronavirus, sustained and elevated prevalence of highly pathogenic avian influenza viruses able to infect mammalian hosts highlight the continued threat of pandemics of influenza... Read More about Seasonality as a driver of pH1N12009 influenza vaccination campaign impact.

Closed form expressions for the Green’s function of a quantum graph – a scattering approach (2023)
Journal Article
Lawrie, T., Gnutzmann, S., & Tanner, G. K. (2023). Closed form expressions for the Green’s function of a quantum graph – a scattering approach. Journal of Physics A: Mathematical and Theoretical, 56(47), Article 475202. https://doi.org/10.1088/1751-8121/ad03a5

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the approach... Read More about Closed form expressions for the Green’s function of a quantum graph – a scattering approach.

Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics (2023)
Journal Article
Shuttleworth, J. G., Lei, C. L., Whittaker, D. G., Windley, M. J., Hill, A. P., Preston, S. P., & Mirams, G. R. (2024). Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics. Bulletin of Mathematical Biology, 86(1), Article 2. https://doi.org/10.1007/s11538-023-01224-6

When using mathematical models to make quantitative predictions for clinical or industrial use, it is important that predictions come with a reliable estimate of their accuracy (uncertainty quantification). Because models of complex biological system... Read More about Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics.

Efficient and Scalable Inverse Kinematics for Continuum Robots (2023)
Journal Article
Wild, S., Zeng, T., Mohammad, A., Billingham, J., Axinte, D., & Dong, X. (2024). Efficient and Scalable Inverse Kinematics for Continuum Robots. IEEE Robotics and Automation Letters, 9(1), 375 - 381. https://doi.org/10.1109/lra.2023.3331291

With their flexible nature, continuum robots offer hyper-redundancy regarding their workspace; their backbone can take many shapes upon a single tip position and orientation. Deciphering which backbone shape to use under certain conditions is crucial... Read More about Efficient and Scalable Inverse Kinematics for Continuum Robots.

The impact of household structure on disease-induced herd immunity (2023)
Journal Article
Ball, F., Critcher, L., Neal, P., & Sirl, D. (2023). The impact of household structure on disease-induced herd immunity. Journal of Mathematical Biology, 87(6), Article 83. https://doi.org/10.1007/s00285-023-02010-7

The disease-induced herd immunity level hD is the fraction of the population that must be infected by an epidemic to ensure that a new epidemic among the remaining susceptible population is not supercritical. For a homogeneously mixing population hD... Read More about The impact of household structure on disease-induced herd immunity.

General upper bounds on fluctuations of trajectory observables (2023)
Journal Article
Bakewell-Smith, G., Girotti, F., Guţǎ, M., & Garrahan, J. P. (2023). General upper bounds on fluctuations of trajectory observables. Physical Review Letters, 131(19), Article 197101. https://doi.org/10.1103/PhysRevLett.131.197101

Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctuations of dynamical observables. They have important consequences, one being that the precision of estimation of a current is limited by the amount of entropy pr... Read More about General upper bounds on fluctuations of trajectory observables.

The impact of uncertainty in hERG binding mechanism on in silico predictions of drug-induced proarrhythmic risk (2023)
Journal Article
Lei, C. L., Whittaker, D. G., & Mirams, G. R. (2024). The impact of uncertainty in hERG binding mechanism on in silico predictions of drug-induced proarrhythmic risk. British Journal of Pharmacology, 181(7), 987-1004. https://doi.org/10.1111/bph.16250

Background and Purpose Drug-induced reduction of the rapid delayed rectifier potassium current carried by the human Ether-à-go-go-Related Gene (hERG) channel is associated with increased risk of arrhythmias. Recent updates to drug safety regulatory... Read More about The impact of uncertainty in hERG binding mechanism on in silico predictions of drug-induced proarrhythmic risk.