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Non?parametric regression for networks (2021)
Journal Article
Severn, K. E., Dryden, I. L., & Preston, S. P. (2021). Non?parametric regression for networks. Stat, 10(1), Article e373. https://doi.org/10.1002/sta4.373

Network data are becoming increasingly available, and so there is a need to develop suitable methodology for statistical analysis. Networks can be represented as graph Laplacian matrices, which are a type of manifold-valued data. Our main objective i... Read More about Non?parametric regression for networks.

Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots (2021)
Journal Article
Rizza, A., Tang, B., Stanley, C. E., Grossmann, G., Owen, M. R., Jones, A. M., & Band, L. R. (2021). Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots. Proceedings of the National Academy of Sciences, 118(8), Article e1921960118. https://doi.org/10.1073/pnas.1921960118

Control over cell growth by mobile regulators underlies much of eukaryotic morphogenesis. In plant roots, cell division and elongation are separated into distinct longitudinal zones and both division and elongation are influenced by the growth regula... Read More about Differential biosynthesis and cellular permeability explain longitudinal gibberellin gradients in growing roots.

Transmission and reflection of waves at structural junctions connecting thin orthotropic plates (2021)
Journal Article
Aimakov, N., Tanner, G., & Chronopoulos, D. (2021). Transmission and reflection of waves at structural junctions connecting thin orthotropic plates. Wave Motion, 102, Article 102716. https://doi.org/10.1016/j.wavemoti.2021.102716

We present a semi-analytical method for computing the reflection and transmission coefficients at joints connecting an arbitrary number of semi-infinite orthotropic plates based on the line-junction approximation. We use a wave approach and describe... Read More about Transmission and reflection of waves at structural junctions connecting thin orthotropic plates.

Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19 (2021)
Journal Article
Fadai, N. T., Sachak-Patwa, R., Byrne, H. M., Maini, P. K., Bafadhel, M., & Nicolau, D. V. (2021). Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19. Journal of the Royal Society, Interface, 18(175), Article 20200950. https://doi.org/10.1098/rsif.2020.0950

While the pathological mechanisms in COVID-19 illness are still poorly understood, it is increasingly clear that high levels of pro-inflammatory mediators play a major role in clinical deterioration in patients with severe disease. Current evidence p... Read More about Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19.

Phase-field gradient theory (2021)
Journal Article
Espath, L., & Calo, V. (2021). Phase-field gradient theory. Zeitschrift für Angewandte Mathematik und Physik, 72(2), Article 45. https://doi.org/10.1007/s00033-020-01441-2

We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second gradients of the... Read More about Phase-field gradient theory.

Survival Regression Models With Dependent Bayesian Nonparametric Priors (2021)
Journal Article
Riva-Palacio, A., Leisen, F., & Griffin, J. (2022). Survival Regression Models With Dependent Bayesian Nonparametric Priors. Journal of the American Statistical Association, 117(539), 1530-1539. https://doi.org/10.1080/01621459.2020.1864381

We present a novel Bayesian nonparametric model for regression in survival analysis. Our model builds on the classical neutral to the right model of Doksum and on the Cox proportional hazards model of Kim and Lee. The use of a vector of dependent Bay... Read More about Survival Regression Models With Dependent Bayesian Nonparametric Priors.

Which sequences are orbits? (2021)
Journal Article
A. Nicks, D., & J. Sixsmith, D. (2021). Which sequences are orbits?. Analysis and Mathematical Physics, 11(2), Article 53. https://doi.org/10.1007/s13324-021-00493-5

In the study of discrete dynamical systems, we typically start with a function from a space into itself, and ask questions about the properties of sequences of iterates of the function. In this paper we reverse the direction of this study. In particu... Read More about Which sequences are orbits?.

Stochastic fractal and Noether's theorem (2021)
Journal Article
Rahman, R., Nowrin, F., Rahman, M. S., Wattis, J. A. D., & Hassan, M. K. (2021). Stochastic fractal and Noether's theorem. Physical Review E, 103(2), Article 022106. https://doi.org/10.1103/physreve.103.022106

We consider the binary fragmentation problem in which, at any breakup event, one of the daughter segments either survives with probability p or disappears with probability 1 ? p. It describes a stochastic dyadic Cantor set that evolves in time, and e... Read More about Stochastic fractal and Noether's theorem.

Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods (2021)
Journal Article
Zhang, K., Orlando, A., & Crooks, E. (2021). Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods. Applied Mathematical Modelling, 94, 688-720. https://doi.org/10.1016/j.apm.2021.01.040

Compensated convex transforms have been introduced for extended real valued functions defined over Rn. In their application to image processing, interpolation and shape interrogation, where one deals with functions defined over a bounded domain, one... Read More about Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods.

Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends (2021)
Journal Article
Anwar, M., & Graham, R. S. (2021). Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends. Soft Matter, 2021(10), 2872-2882. https://doi.org/10.1039/d0sm01361g

Modelling of flow-induced nucleation in polymers suggest that long chains are enriched in nuclei, relative to their melt concentration. This enrichment has important consequences for the nucle-ation rate and mechanism, but cannot be directly observed... Read More about Direct observation of long chain enrichment in flow-induced nuclei from molecular dynamics simulations of bimodal blends.

Factorization in commutative Banach algebras (2021)
Journal Article
Dales, H. G., Feinstein, J. F., & Pham, H. L. (2021). Factorization in commutative Banach algebras. Studia Mathematica, 259, 79-120. https://doi.org/10.4064/sm191216-22-7

Let A be a (non-unital) commutative Banach algebra. We consider when A has a variety of factorization properties: we list the (ob-vious) implications between these properties, and then consider whether any of these implications can be reversed in var... Read More about Factorization in commutative Banach algebras.

SO(9) characterization of the standard model gauge group (2021)
Journal Article
Krasnov, K. (2021). SO(9) characterization of the standard model gauge group. Journal of Mathematical Physics, 62(2), Article 021703. https://doi.org/10.1063/5.0039941

A recent series of works characterized the Standard Model (SM) gauge group GSM as the subgroup of SO(9) that, in the octonionic model of the latter, preserves the split O=C?C3 of the space of octonions into a copy of the complex plane plus the rest.... Read More about SO(9) characterization of the standard model gauge group.

Understanding sensory induced hallucinations: From neural fields to amplitude equations (2021)
Journal Article
Nicks, R., Cocks, A., Avitabile, D., Johnston, A., & Coombes, S. (2021). Understanding sensory induced hallucinations: From neural fields to amplitude equations. SIAM Journal on Applied Dynamical Systems, 20(4), 1683-1714. https://doi.org/10.1137/20M1366885

Explorations of visual hallucinations, and in particular those of Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490-8495], show that annular rings with a background flicker can induce visual hallucinatio... Read More about Understanding sensory induced hallucinations: From neural fields to amplitude equations.

Splittings of Toric Ideals (2021)
Journal Article
Favacchio, G., Hofscheier, J., Keiper, G., & Van Tuyl, A. (2021). Splittings of Toric Ideals. Journal of Algebra, 574, 409-433. https://doi.org/10.1016/j.jalgebra.2021.01.012

Let I ⊆ R = K[x1, . . . , xn] be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal I can be “split” into the sum of two smaller toric ideals. For a general toric ideal I, we give a sufficient condition for this splitting in t... Read More about Splittings of Toric Ideals.

Reducing transatlantic flight emissions by fuel-optimised routing (2021)
Journal Article
Wells, C. A., Williams, P. D., Nichols, N. K., Kalise, D., & Poll, I. (2021). Reducing transatlantic flight emissions by fuel-optimised routing. Environmental Research Letters, 16(2), Article 025002. https://doi.org/10.1088/1748-9326/abce82

© 2021 The Author(s). After decades of limited situational awareness for aircraft flying in the mid-North Atlantic, full satellite coverage will soon be available. This opens up the possibility of altering flight routes to exploit the wind field full... Read More about Reducing transatlantic flight emissions by fuel-optimised routing.

Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions (2021)
Journal Article
Tomi-Andrino, C., Norman, R., Millat, T., Soucaille, P., Winzer, K., Barrett, D. A., …Kim, D. (2021). Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions. PLoS Computational Biology, 17(1), Article e1007694. https://doi.org/10.1371/journal.pcbi.1007694

© 2021 Tomi-Andrino et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source a... Read More about Physicochemical and metabolic constraints for thermodynamics-based stoichiometric modelling under mesophilic growth conditions.

Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations (2021)
Journal Article
Keeler, J., Blyth, M., & King, J. (2021). Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations. Nonlinearity, 34(1), 532-561. https://doi.org/10.1088/1361-6544/abb18f

Solutions u(x) to the class of inhomogeneous nonlinear ordinary differential equations taking the form u + u 2 = ?f (x) for parameter ? are studied. The problem is defined on the x line with decay of both the solution u(x) and the imposed forcing f (... Read More about Termination points and homoclinic glueing for a class of inhomogeneous nonlinear ordinary differential equations.

Agent-based modelling of juvenile eel migration via selective tidal stream transport (2021)
Journal Article
Benson, T., de Bie, J., Gaskell, J., Vezza, P., Kerr, J. R., Lumbroso, D., …Kemp, P. S. (2021). Agent-based modelling of juvenile eel migration via selective tidal stream transport. Ecological Modelling, 443, Article 109448. https://doi.org/10.1016/j.ecolmodel.2021.109448

Recruitment of temperate eel species Anguilla anguilla, A. rostrata & A. japonica has declined over the last few decades due to human activities, such as overfishing and construction of migratory barriers (e.g. dams, weirs and sluices) and hazardous... Read More about Agent-based modelling of juvenile eel migration via selective tidal stream transport.