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Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway (2017)
Journal Article
Dalwadi, M. P., Garavaglia, M., Webb, J. P., King, J. R., & Minton, N. P. (2018). Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway. Journal of Theoretical Biology, 439, https://doi.org/10.1016/j.jtbi.2017.11.022

The mevalonate pathway is normally found in eukaryotes, and allows for the production of isoprenoids, a useful class of organic compounds. This pathway has been successfully introduced to Escherichia coli, enabling a biosynthetic production route for... Read More about Applying asymptotic methods to synthetic biology: modelling the reaction kinetics of the mevalonate pathway.

On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube (2017)
Journal Article
Soldatos, K. (2018). On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube. Journal of Engineering Mathematics, 109(1), https://doi.org/10.1007/s10665-017-9942-6

Several types of tube-like fibre-reinforced tissue, including arteries and veins, different kinds of muscle, biological tubes as well as plants and trees, grow in an axially symmetric manner that preserves their own shape as well as the direction and... Read More about On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube.

Peer assessment of mathematical understanding using comparative judgement (2017)
Journal Article
Jones, I., & Sirl, D. (2017). Peer assessment of mathematical understanding using comparative judgement

It is relatively straightforward to assess procedural knowledge and difficult to assess conceptual understanding in mathematics. One reason is that conceptual understanding is better assessed using open-ended test questions that invite an unpredictab... Read More about Peer assessment of mathematical understanding using comparative judgement.

Testing the validity of the ‘local’ and ‘global’ GKLS master equations on an exactly solvable model (2017)
Journal Article
González, J. O., Correa, L. A., Nocerino, G., Palao, J. P., Alonso, D., & Adesso, G. (2017). Testing the validity of the ‘local’ and ‘global’ GKLS master equations on an exactly solvable model. Open Systems and Information Dynamics, 24(4), Article e1740010. https://doi.org/10.1142/S1230161217400108

When deriving a master equation for a multipartite weakly-interacting open quantum systems, dissipation is often addressed locally on each component, i.e. ignoring the coherent couplings, which are later added ‘by hand’. Although simple, the resultin... Read More about Testing the validity of the ‘local’ and ‘global’ GKLS master equations on an exactly solvable model.

New type I ancient compact solutions of the Yamabe flow (2017)
Journal Article
Daskalopoulos, P., del Pino, M., King, J., & Sesum, N. (2017). New type I ancient compact solutions of the Yamabe flow. Mathematical Research Letters, 24(6), 1667-1691. https://doi.org/10.4310/MRL.2017.v24.n6.a5

We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancien... Read More about New type I ancient compact solutions of the Yamabe flow.

Computational phase-field modeling (2017)
Book Chapter
Gomez, H., & van der Zee, K. G. (2017). Computational phase-field modeling. In E. Stein, R. de Borst, & T. J. Hughes (Eds.), Encyclopedia of Computational Mechanics, Second Edition. John Wiley & Sons, Ltd

Phase-field modeling is emerging as a promising tool for the treatment of problems with interfaces. The classical description of interface problems requires the numerical solution of partial differential equations on moving domains in which the domai... Read More about Computational phase-field modeling.

Quantum decoherence of phonons in Bose–Einstein condensates (2017)
Journal Article
Howl, R., Sabín, C., Hackermüller, L., & Fuentes, I. (2017). Quantum decoherence of phonons in Bose–Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics, 51(1), https://doi.org/10.1088/1361-6455/aa9622

We apply modern techniques from quantum optics and quantum information science to Bose–Einstein condensates(BECs)in order to study, for the first time, the quantum decoherence of phonons of isolated BECs. In the last few years, major advances in the... Read More about Quantum decoherence of phonons in Bose–Einstein condensates.

Black hole horizons at the extremal limit in Lorentz-violating gravity (2017)
Journal Article
Franchini, N., Saravani, M., & Sotiriou, T. P. (2017). Black hole horizons at the extremal limit in Lorentz-violating gravity. Physical Review D, 96(10), Article 104044. https://doi.org/10.1103/PhysRevD.96.104044

Lorentz-violating gravity theories with a preferred foliation can have instantaneous propagation. Nonetheless, it has been shown that black holes can still exist in such theories and the relevant notion of an event horizon has been dubbed “universal... Read More about Black hole horizons at the extremal limit in Lorentz-violating gravity.

Fano 3-folds in P2xP2 format, Tom and Jerry (2017)
Journal Article
Brown, G., Kasprzyk, A. M., & Qureshi, I. (2018). Fano 3-folds in P2xP2 format, Tom and Jerry. European Journal of Mathematics, 4(1), 51-72. https://doi.org/10.1007/s40879-017-0200-2

We study Q-factorial terminal Fano 3-folds whose equations are modelled on those of the Segre embedding of P^2xP^2. These lie in codimension 4 in their total anticanonical embedding and have Picard rank 2. They fit into the current state of classific... Read More about Fano 3-folds in P2xP2 format, Tom and Jerry.

Dichromatic state sum models for four-manifolds from pivotal functors (2017)
Journal Article
Bärenz, M., & Barrett, J. W. (2018). Dichromatic state sum models for four-manifolds from pivotal functors. Communications in Mathematical Physics, 360(2), https://doi.org/10.1007/s00220-017-3012-9

A family of invariants of smooth, oriented four-dimensional manifolds is defined via handle decompositions and the Kirby calculus of framed link diagrams. The invariants are parametrised by a pivotal functor from a spherical fusion category into a ri... Read More about Dichromatic state sum models for four-manifolds from pivotal functors.

Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability (2017)
Journal Article
Matveev, M. Y., Ball, F. G., Jones, I. A., Long, A. C., Schubel, P. J., & Tretyakov, M. V. (2018). Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability. Journal of Composite Materials, 52(16), 2255-2269. https://doi.org/10.1177/0021998317741951

© 2017, The Author(s) 2017. Resin transfer moulding is one of several processes available for manufacturing fibre-reinforced composites from dry fibre reinforcement. Recently, dry reinforcements made with Automated Dry Fibre Placement have been intro... Read More about Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability.

Uncertainty quantification reveals the importance of data variability and experimental design considerations for in silico proarrhythmia risk assessment (2017)
Journal Article
Chang, K., Dutta, S., Mirams, G. R., Beattie, K., Sheng, J., Tran, P. N., Wu, M., Wu, W. W., Colatsky, T., Strauss, D. G., & Li, Z. (2017). Uncertainty quantification reveals the importance of data variability and experimental design considerations for in silico proarrhythmia risk assessment. Frontiers in Physiology, 8, Article 917. https://doi.org/10.3389/fphys.2017.00917

The Comprehensive in vitro Proarrhythmia Assay (CiPA) is a global initiative intended to improve drug proarrhythmia risk assessment using a new paradigm of mechanistic assays. Under the CiPA paradigm, the relative risk of drug-induced Torsade de Poin... Read More about Uncertainty quantification reveals the importance of data variability and experimental design considerations for in silico proarrhythmia risk assessment.

Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine (2017)
Journal Article
Dalwadi, M. P., King, J. R., & Minton, N. P. (2018). Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine. Journal of Mathematical Biology, 77(1), 165-199. https://doi.org/10.1007/s00285-017-1189-3

A biosustainable production route for 3-hydroxypropionic acid (3HP), an important platform chemical, would allow 3HP to be produced without using fossil fuels. We are interested in investigating a potential biochemical route to 3HP from pyruvate thro... Read More about Multi-timescale analysis of a metabolic network in synthetic biology: a kinetic model for 3-hydroxypropionic acid production via beta-alanine.

Conjugate duality in stochastic controls with delay (2017)
Journal Article
Wang, Z., Hodge, D. J., & Le, H. (2017). Conjugate duality in stochastic controls with delay. Advances in Applied Probability, 49(4), https://doi.org/10.1017/apr.2017.32

This paper uses the method of conjugate duality to investigate a class of stochastic optimal control problems where state systems are described by stochastic differential equations with delay. For this, we first analyse a stochastic convex problem wi... Read More about Conjugate duality in stochastic controls with delay.

Algebras of quasi-Plücker coordinates are Koszul (2017)
Journal Article
Laugwitz, R., & Retakh, V. (2018). Algebras of quasi-Plücker coordinates are Koszul. Journal of Pure and Applied Algebra, 222(9), 2810-2822. https://doi.org/10.1016/j.jpaa.2017.11.001

Motivated by the theory of quasi-determinants, we study non-commutative algebras of quasi-Plücker coordinates. We prove that these algebras provide new examples of non-homogeneous quadratic Koszul algebras by showing that their quadratic duals have q... Read More about Algebras of quasi-Plücker coordinates are Koszul.

Stochastic resin transfer molding process (2017)
Journal Article
Park, M., & Tretyakov, M. (in press). Stochastic resin transfer molding process. SIAM/ASA Journal on Uncertainty Quantification, 5(1), https://doi.org/10.1137/16M1096578

We consider one-dimensional and two-dimensional models of the stochastic resin transfer molding process, which are formulated as random moving boundary problems. We study their properties, analytically in the one-dimensional case and numerically in t... Read More about Stochastic resin transfer molding process.

Stress-dependent local oxidation of silicon (2017)
Journal Article
Evans, J. D., & King, J. R. (2017). Stress-dependent local oxidation of silicon. SIAM Journal on Applied Mathematics, 77(6), 2012-2039. https://doi.org/10.1137/16M1060613

The two-dimensional isolation oxidation of silicon is considered for stress-dependent reaction and diffusion coefficients. The influence of such parameters is investigated numerically and asymptotically in the bird's beak problem and for curved geome... Read More about Stress-dependent local oxidation of silicon.

Synchrony-induced modes of oscillation of a neural field model (2017)
Journal Article
Esnaola-Acebes, J. M., Roxin, A., Avitabile, D., & Montbrio, E. (2017). Synchrony-induced modes of oscillation of a neural field model. Physical Review E, 96(5), Article 052407. https://doi.org/10.1103/PhysRevE.96.052407

We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire (QIF) neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient stan... Read More about Synchrony-induced modes of oscillation of a neural field model.