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A multiphase multiscale model for nutrient limited tissue growth (2017)
Journal Article
Holden, E. C., Collis, J., Brook, B. S., & O'Dea, R. D. (2017). A multiphase multiscale model for nutrient limited tissue growth. ANZIAM Journal, 59, 499-532. https://doi.org/10.21914/anziamj.v59i0.12240

We derive an effective macroscale description for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effective macroscale... Read More about A multiphase multiscale model for nutrient limited tissue growth.

Gravity in the quantum lab (2017)
Journal Article
Howl, R., Hackermüller, L., Bruschi, D. E., & Fuentes, I. (2018). Gravity in the quantum lab. Advances in Physics, 3(1), Article 1383184. https://doi.org/10.1080/23746149.2017.1383184

At the beginning of the previous century, Newtonian mechanics was advanced by two new revolutionary theories, Quantum Mechanics (QM) and General Relativity (GR). Both theories have transformed our view of physical phenomena, with QM accurately predic... Read More about Gravity in the quantum lab.

Near-field scanning and propagation of correlated low-frequency radiated emissions (2017)
Journal Article
Gradoni, G., Madenoor Ramapriya, D., Creagh, S. C., Tanner, G., Baharuddin, M. H., Nasser, H., …Thomas, D. W. (2017). Near-field scanning and propagation of correlated low-frequency radiated emissions. IEEE Transactions on Electromagnetic Compatibility, 60(6), 2045-2048. https://doi.org/10.1109/TEMC.2017.2778046

Electromagnetic radiation from complex printed circuit boards can occur over a broad frequency bandwidth, ranging from hundreds of MHz to tens of GHz. This is becoming a critical issue for assessment of EMC and interoperability as electronic componen... Read More about Near-field scanning and propagation of correlated low-frequency radiated emissions.

Periodicity in the autocorrelation function as a mechanism for regularly occurring zero crossings or extreme values of a Gaussian process (2017)
Journal Article
Wilson, L. R. M., & Hopcraft, K. I. (2017). Periodicity in the autocorrelation function as a mechanism for regularly occurring zero crossings or extreme values of a Gaussian process. Physical Review E, 96(6), https://doi.org/10.1103/PhysRevE.96.062129

The problem of zero crossings is of great historical prevalence and promises extensive application. The challenge is to establish precisely how the autocorrelation function or power spectrum of a one-dimensional continuous random process determines t... Read More about Periodicity in the autocorrelation function as a mechanism for regularly occurring zero crossings or extreme values of a Gaussian process.

Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops (2017)
Journal Article
Fan, Y., Gnutzmann, S., & Liang, Y. (in press). Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops. Physical Review E, 96(6), https://doi.org/10.1103/PhysRevE.96.062207

We consider two coupled quantum tops with angular momentum vectors L and M. The coupling Hamiltonian defines the Feingold-Peres model, which is a known paradigm of quantum chaos. We show that this model has a nonstandard symmetry with respect to the... Read More about Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops.

Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions (2017)
Journal Article
Davidchack, R., Ouldridge, T., & Tretyakov, M. (in press). Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions. Journal of Chemical Physics, 147(22), Article 224103. https://doi.org/10.1063/1.4999771

We introduce new Langevin-type equations describing the rotational and translational motion of rigid bodies interacting through conservative and non-conservative forces, and hydrodynamic coupling. In the absence of non-conservative forces the Langevi... Read More about Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions.

Tailoring mathematical models to stem-cell derived cardiomyocyte lines can improve predictions of drug-induced changes to their electrophysiology (2017)
Journal Article
Lei, C., Wang, K., Clerx, M., Johnstone, R. H., Hortigon-Vinagre, M. P., Zamora, V., …Polonchuk, L. (2017). Tailoring mathematical models to stem-cell derived cardiomyocyte lines can improve predictions of drug-induced changes to their electrophysiology. Frontiers in Physiology, 8, Article 986. https://doi.org/10.3389/fphys.2017.00986

Human induced pluripotent stem cell derived cardiomyocytes (iPSC-CMs) have applications in disease modeling, cell therapy, drug screening and personalized medicine. Computational models can be used to interpret experimental findings in iPSC-CMs, prov... Read More about Tailoring mathematical models to stem-cell derived cardiomyocyte lines can improve predictions of drug-induced changes to their electrophysiology.

Determinantal generalizations of instrumental variables (2017)
Journal Article
Weihs, L., Robinson, B., Dufresne, E., Kenkel, J., Kubjas, K., McGee, R. L. I., …Drton, M. (2018). Determinantal generalizations of instrumental variables. Journal of Causal Inference, 6(1), https://doi.org/10.1515/jci-2017-0009

Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally associated with a mixed graph whose vertices correspond to the components of the random vec... Read More about Determinantal generalizations of instrumental variables.

Generalised path-following for well-behaved nonlinear structures (2017)
Journal Article
Groh, R., Avitabile, D., & Pirrera, A. (2018). Generalised path-following for well-behaved nonlinear structures. Computer Methods in Applied Mechanics and Engineering, 331, https://doi.org/10.1016/j.cma.2017.12.001

Recent years have seen a research revival in structural stability analysis. This renewed interest stems from a paradigm shift regarding the role of buckling instabilities in engineering design—from detrimental sources of catastrophic failure to novel... Read More about Generalised path-following for well-behaved nonlinear structures.

Analysing the opinions of UK veterinarians on practice-based research using corpus linguistic and mathematical methods (2017)
Journal Article
Huntley, S. J., Mahlberg, M., Wiegand, V., van Gennip, Y., Yang, H., Dean, R. S., & Brennan, M. L. (2018). Analysing the opinions of UK veterinarians on practice-based research using corpus linguistic and mathematical methods. Preventive Veterinary Medicine, 150, https://doi.org/10.1016/j.prevetmed.2017.11.020

The use of corpus linguistic techniques and other related mathematical analyses have rarely, if ever, been applied to qualitative data collected from the veterinary field. The aim of this study was to explore the use of a combination of corpus lingui... Read More about Analysing the opinions of UK veterinarians on practice-based research using corpus linguistic and mathematical methods.

Enhancement of low-temperature thermometry by strong coupling (2017)
Journal Article
Correa, L. A., Perarnau-Llobet, M., Hovhannisyan, K. V., Mehboudi, M., Hernández-Santana, S., & Sanpera, A. (2017). Enhancement of low-temperature thermometry by strong coupling. Physical Review A, 96(6), Article 062103. https://doi.org/10.1103/PhysRevA.96.062103

We consider the problem of estimating the temperature T of a very cold equilibrium sample. The temperature estimates are drawn from measurements performed on a quantum Brownian probe strongly coupled to it. We model this scenario by resorting to the... Read More about Enhancement of low-temperature thermometry by strong coupling.

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.