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A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition (2024)
Journal Article
Fan, Y., Billingham, J., & van der Zee, K. (2024). A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition. SIAM Journal on Scientific Computing, 46(6), A3599-A3627. https://doi.org/10.1137/23M1590263

We develop a shape-Newton method for solving generic free-boundary problems where one of the free-boundary conditions is governed by the nonlinear Bernoulli equation. The method is a Newton-like scheme that employs shape derivatives of the governing... Read More about A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition.

Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty (2024)
Journal Article
Bartuska, A., Espath, L., & Tempone, R. (2025). Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty. Statistics and Computing, 35(1), Article 12. https://doi.org/10.1007/s11222-024-10544-z

Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consists of one outer and one inner integral, separated by the logarithm fun... Read More about Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty.

Probabilistic size-and-shape functional mixed models (2024)
Presentation / Conference Contribution
Wang, F., Bharath, K., Chkrebtii, O., & Kurtek, S. (2024, December). Probabilistic size-and-shape functional mixed models. Presented at Thirty-Eighth Annual Conference on Neural Information Processing Systems, Vancouver, Canada

The reliable recovery and uncertainty quantification of a fixed effect function µ in a functional mixed model, for modelling population-and object-level variability in noisily observed functional data, is a notoriously challenging task: variations al... Read More about Probabilistic size-and-shape functional mixed models.

Inverse Physics-Informed Neural Networks for transport models in porous materials (2024)
Journal Article
Berardi, M., Difonzo, F. V., & Icardi, M. (2025). Inverse Physics-Informed Neural Networks for transport models in porous materials. Computer Methods in Applied Mechanics and Engineering, 435, Article 117628. https://doi.org/10.1016/j.cma.2024.117628

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations by including in the cost function to minimise during training the... Read More about Inverse Physics-Informed Neural Networks for transport models in porous materials.

Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses (2024)
Journal Article
Forrester, M., Petros, S., Cattell, O., Lai, Y. M., ODea, R. D., Sotiropoulos, S., & Coombes, S. (2024). Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses. PLoS Computational Biology, 20(December), https://doi.org/10.1371/journal.pcbi.1012647

The ready availability of brain connectome data has both inspired and facilitated the modelling of whole brain activity using networks of phenomenological neural mass models that can incorporate both interaction strength and tract length between brai... Read More about Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses.

Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses (2024)
Journal Article
Forrester, M., Petros, S., Cattell, O., Lai, Y. M., O’Dea, R. D., Sotiropoulos, S., & Coombes, S. (2024). Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses. PLoS Computational Biology, 20(12), Article e1012647. https://doi.org/10.1371/journal.pcbi.1012647

The ready availability of brain connectome data has both inspired and facilitated the modelling of whole brain activity using networks of phenomenological neural mass models that can incorporate both interaction strength and tract length between brai... Read More about Whole brain functional connectivity: Insights from next generation neural mass modelling incorporating electrical synapses.

Integrating human behaviour and epidemiological modelling: unlocking the remaining challenges (2024)
Journal Article
Hill, E. M., Ryan, M., Haw, D., Lynch, M. P., McCabe, R., Milne, A. E., Turner, M. S., Vedhara, K., Zeng, F., Barons, M. J., Nixon, E. J., Parnell, S., & Bolton, K. J. (2024). Integrating human behaviour and epidemiological modelling: unlocking the remaining challenges. Mathematics in Medical and Life Sciences, 1(1), Article 2429479. https://doi.org/10.1080/29937574.2024.2429479

This paper is part of a special issue on Behavioural Epidemiology.

Historically, responses to health-related emergencies (whether public health, veterinary health or plant health related) have exposed the deficiencies of mathematical models to inc... Read More about Integrating human behaviour and epidemiological modelling: unlocking the remaining challenges.

Monitoring university student response to social distancing policy during the SARS-CoV-2 pandemic using Bluetooth: the RADAR study (2024)
Journal Article
Bolton, K. J., Mendez-Villalon, A., Nanji, H., Jia, R., Ayling, K., Figueredo, G., & Vedhara, K. (2024). Monitoring university student response to social distancing policy during the SARS-CoV-2 pandemic using Bluetooth: the RADAR study. Mathematics in Medical and Life Sciences, 1(1), Article 2425096. https://doi.org/10.1080/29937574.2024.2425096

Aim: We use the Remote Assessment of Disease and Relapses platform (RADAR) to collect Bluetooth contact and location data from university students. We test the ability of this technology to objectively capture social interaction, explore the propensi... Read More about Monitoring university student response to social distancing policy during the SARS-CoV-2 pandemic using Bluetooth: the RADAR study.

5d 2-Chern-Simons Theory and 3d Integrable Field Theories (2024)
Journal Article
Schenkel, A., & Vicedo, B. (2024). 5d 2-Chern-Simons Theory and 3d Integrable Field Theories. Communications in Mathematical Physics, 405(12), Article 293. https://doi.org/10.1007/s00220-024-05170-9

The 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field theories. The purpose of this paper is to extend this framework to the setting... Read More about 5d 2-Chern-Simons Theory and 3d Integrable Field Theories.

Systematics in tests of general relativity using LISA massive black hole binaries (2024)
Journal Article
Garg, M., Sberna, L., Speri, L., Duque, F., & Gair, J. (2024). Systematics in tests of general relativity using LISA massive black hole binaries. Monthly Notices of the Royal Astronomical Society, 535(4), 3283–3292. https://doi.org/10.1093/mnras/stae2605

Our current understanding is that an environment – mainly consisting of gas or stars – is required to bring massive black hole binaries (MBHBs) with total redshifted mass Mz ∼ [104, 107] M⊙ to the LISA band from parsec separation. Even in the gravita... Read More about Systematics in tests of general relativity using LISA massive black hole binaries.

Object oriented data analysis of surface motion time series in peatland landscapes (2024)
Journal Article
Mitchell, E. G., Dryden, I. L., Fallaize, C. J., Andersen, R., Bradley, A. V., Large, D. J., & Sowter, A. (2024). Object oriented data analysis of surface motion time series in peatland landscapes. Journal of the Royal Statistical Society: Series C, Article qlae060. https://doi.org/10.1093/jrsssc/qlae060

Peatlands account for 10% of UK land area, 80% of which are degraded to some degree, emitting carbon at a similar magnitude to oil refineries or landfill sites. A lack of tools for rapid and reliable assessment of peatland condition has limited monit... Read More about Object oriented data analysis of surface motion time series in peatland landscapes.

Competitive plasticity to reduce the energetic costs of learning (2024)
Journal Article
van Rossum, M. C. W., & Pache, A. (2024). Competitive plasticity to reduce the energetic costs of learning. PLoS Computational Biology, 20(10), Article e1012553. https://doi.org/10.1371/journal.pcbi.1012553

The brain is not only constrained by energy needed to fuel computation, but it is also constrained by energy needed to form memories. Experiments have shown that learning simple conditioning tasks which might require only a few synaptic updates, alre... Read More about Competitive plasticity to reduce the energetic costs of learning.

A parametrization of nonassociative cyclic algebras of prime degree (2024)
Journal Article
Nevins, M., & Pumplün, S. (2025). A parametrization of nonassociative cyclic algebras of prime degree. Journal of Algebra, 664(Part A), 631-654. https://doi.org/10.1016/j.jalgebra.2024.10.021

We determine and explicitly parametrize the isomorphism classes of nonassociative quaternion algebras over a field of characteristic different from two, as well as the isomorphism classes of nonassociative cyclic algebras of odd prime degree m when t... Read More about A parametrization of nonassociative cyclic algebras of prime degree.

One-dimensional components in the K-moduli of smooth Fano 3-folds (2024)
Journal Article
Abban, H., Cheltsov, I., Denisova, E., Etxabarri Alberdi, E., Kaloghiros, A.-S., Jiao, D., Martinez Garcia, J., & Papazachariou, T. (2024). One-dimensional components in the K-moduli of smooth Fano 3-folds. Journal of Algebraic Geometry, https://doi.org/10.1090/jag/839

By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of smoothable Fano 3-folds.

A regulatory module mediating temperature control of cell-cell communication facilitates tree bud dormancy release (2024)
Journal Article
Pandey, S. K., Maurya, J. P., Aryal, B., Drynda, K., Nair, A., Miskolczi, P., Singh, R. K., Wang, X., Ma, Y., de Souza Moraes, T., Bayer, E. M., Farcot, E., Bassel, G. W., Band, L. R., & Bhalerao, R. P. (2024). A regulatory module mediating temperature control of cell-cell communication facilitates tree bud dormancy release. EMBO Journal, 43(23), 5793-5812. https://doi.org/10.1038/s44318-024-00256-5

The control of cell–cell communication via plasmodesmata (PD) plays a key role in plant development. In tree buds, low-temperature conditions (LT) induce a switch in plasmodesmata from a closed to an open state, which restores cell-to-cell communicat... Read More about A regulatory module mediating temperature control of cell-cell communication facilitates tree bud dormancy release.

Pairwise Accelerated Failure Time Regression Models for Infectious Disease Transmission in Close‐Contact Groups With External Sources of Infection (2024)
Journal Article
Sharker, Y., Diallo, Z., KhudaBukhsh, W. R., & Kenah, E. (2024). Pairwise Accelerated Failure Time Regression Models for Infectious Disease Transmission in Close‐Contact Groups With External Sources of Infection. Statistics in Medicine, 43(27), 5138-5154. https://doi.org/10.1002/sim.10226

Many important questions in infectious disease epidemiology involve associations between covariates (e.g., age or vaccination status) and infectiousness or susceptibility. Because disease transmission produces dependent outcomes, these questions are... Read More about Pairwise Accelerated Failure Time Regression Models for Infectious Disease Transmission in Close‐Contact Groups With External Sources of Infection.

SIR epidemics in populations with large sub-communities (2024)
Journal Article
Ball, F., Sirl, D., & Trapman, P. (2024). SIR epidemics in populations with large sub-communities. Annals of Applied Probability, 34(5), 4408–4454. https://doi.org/10.1214/24-aap2070

We investigate final outcome properties of an SIR (susceptible → in-fective → recovered) epidemic model defined on a population of large sub-communities in which there is stronger disease transmission within the communities than between them. Our ana... Read More about SIR epidemics in populations with large sub-communities.

Modelling the influence of vitamin D and probiotic supplementation on the microbiome and immune response (2024)
Journal Article
Franks, S. J., Dunster, J. L., Carding, S. R., Lord, J. M., Hewison, M., Calder, P. C., & King, J. R. (2024). Modelling the influence of vitamin D and probiotic supplementation on the microbiome and immune response. Mathematical Medicine and Biology, 41(4), 304-345. https://doi.org/10.1093/imammb/dqae017

The intestinal microbiota play a critical role in human health and disease, maintaining metabolic and immune/inflammatory health, synthesizing essential vitamins and amino acids and maintaining intestinal barrier integrity. The aim of this paper is t... Read More about Modelling the influence of vitamin D and probiotic supplementation on the microbiome and immune response.