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Outputs (1792)

Deep NURBS—admissible physics-informed neural networks (2024)
Journal Article
Saidaoui, H., Espath, L., & Tempone, R. (2024). Deep NURBS—admissible physics-informed neural networks. Engineering with Computers, 40, 4007-4021. https://doi.org/10.1007/s00366-024-02040-9

In this study, we propose a new numerical scheme for physics-informed neural networks (PINNs) that enables precise and inexpensive solutions for partial differential equations (PDEs) in case of arbitrary geometries while strongly enforcing Dirichlet... Read More about Deep NURBS—admissible physics-informed neural networks.

Nonassociative cyclic algebras and the semiassociative Brauer monoid (2024)
Journal Article
Pumplün, S. (2024). Nonassociative cyclic algebras and the semiassociative Brauer monoid. Rendiconti del Circolo Matematico di Palermo, 73, 3253-3275. https://doi.org/10.1007/s12215-024-01105-4

We look at classes of semiassociative algebras, with an emphasis on those that canonically generalize associative (generalized) cyclic algebras, and at their behaviour in the semiassociative Brauer monoid defined by Blachar, Haile, Matzri, Rein, an... Read More about Nonassociative cyclic algebras and the semiassociative Brauer monoid.

The Braids on Your Blanket (2024)
Journal Article
Cheng, M., & Laugwitz, R. U. (2024). The Braids on Your Blanket. Journal of Humanistic Mathematics, 14(2), 286-337. https://doi.org/10.5642/jhummath.YMZO2460

In this expositional essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomia... Read More about The Braids on Your Blanket.

How to correctly fit an SIR model to data from an SEIR model? (2024)
Journal Article
KhudaBukhsh, W. R., & Rempała, G. A. (2024). How to correctly fit an SIR model to data from an SEIR model?. Mathematical Biosciences, 375, Article 109265. https://doi.org/10.1016/j.mbs.2024.109265

In epidemiology, realistic disease dynamics often require Susceptible-Exposed-Infected-Recovered (SEIR)-like models because they account for incubation periods before individuals become infectious. However, for the sake of analytica... Read More about How to correctly fit an SIR model to data from an SEIR model?.

Lubrication flow in grinding (2024)
Journal Article
Crowson, Z., Billingham, J., & Houston, P. (2024). Lubrication flow in grinding. Journal of Engineering Mathematics, 147(1), Article 12. https://doi.org/10.1007/s10665-024-10383-x

In the machining process known as grinding, fluid is applied to regulate the temperature of the workpiece and reduce the risk of expensive thermal damage. The factors that influence the transport of this grinding fluid are not well understood; howeve... Read More about Lubrication flow in grinding.

Resolving artefacts in voltage-clamp experiments with computational modelling: an application to fast sodium current recordings. (2024)
Preprint / Working Paper
Lei, C. L., Clark, A. P., Clerx, M., Wei, S., Bloothooft, M., de Boer, T. P., Christini, D. J., Krogh-Madsen, T., & Mirams, G. R. Resolving artefacts in voltage-clamp experiments with computational modelling: an application to fast sodium current recordings

Cellular electrophysiology is the foundation of many fields, from basic science in neurology, cardiology, oncology to safety critical applications for drug safety testing, clinical phenotyping, etc. Patch-clamp voltage clamp is the gold standard tech... Read More about Resolving artefacts in voltage-clamp experiments with computational modelling: an application to fast sodium current recordings..

Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics (2024)
Journal Article
Mirams, G. R., Clerx, M., Whittaker, D. G., & Lei, C. L. (2024). Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics. Mathematics in Medical and Life Sciences, 1(1), Article 2375494. https://doi.org/10.1080/29937574.2024.2375494

Voltage-clamp waveforms are imposed in the patch-clamp electrophysiology technique to provoke ion currents, the particular waveform that is used is known as the “voltage-clamp protocol”. Designing protocols to probe and quantify how gating for a part... Read More about Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics.

Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics (2024)
Journal Article
Mirams, G. R., Clerx, M., Whittaker, D. G., & Lei, C. L. (2024). Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics. Mathematics in Medical and Life Sciences, 2024(1), Article 2375494. https://doi.org/10.1080/29937574.2024.2375494

Voltage-clamp waveforms are imposed in the patch-clamp electrophysiology technique to provoke ion currents, the particular waveform that is used is known as the “voltage-clamp protocol”. Designing protocols to probe and quantify how gating for a part... Read More about Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics.

A classical hypothesis test for assessing the homogeneity of disease transmission in stochastic epidemic models (2024)
Journal Article
Aristotelous, G., Kypraios, T., & O'Neill, P. D. (2025). A classical hypothesis test for assessing the homogeneity of disease transmission in stochastic epidemic models. Scandinavian Journal of Statistics, 52(1), 295-313. https://doi.org/10.1111/sjos.12743

This paper addresses the problem of assessing the homogeneity of the disease transmission process in stochastic epidemic models in populations that are partitioned into social groups. We develop a classical hypothesis test for completed epidemics whi... Read More about A classical hypothesis test for assessing the homogeneity of disease transmission in stochastic epidemic models.