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Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn (2020)
Journal Article
Alatawi, M., & Zhang, K. (2020). Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn. Journal of Convex Analysis, 27(4),

We establish error estimates and Hausdorff stability for approximations and interpolations for sampled functions in Rn by using compensated convex transforms introduced previously by K. Zhang [Compensated convexity and its applications, Ann. l’Instit... Read More about Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn.

Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures (2020)
Journal Article
Ma, S., Phang, S., Drikas, Z., Addissie, B., Hong, R., Blakaj, V., …Anlage, S. M. (2020). Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures. Physical Review Applied, 14(1), https://doi.org/10.1103/physrevapplied.14.014022

The random coupling model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short-wavelength limit. Recent studies have extended the RCM to s... Read More about Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures.

Accounting for variability in ion current recordings using a mathematical model of artefacts in voltage-clamp experiments (2020)
Journal Article
Clerx, M., Lei, C. L., Whittaker, D. G., Gavaghan, D. J., de Boer, T. P., & Mirams, G. R. (2020). Accounting for variability in ion current recordings using a mathematical model of artefacts in voltage-clamp experiments. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 378(2173), https://doi.org/10.1098/rsta.2019.0348

Mathematical models of ion channels, which constitute indispensable components of action potential models, are commonly constructed by fitting to whole-cell patch-clamp data. In a previous study, we fitted cell-specific models to hERG1a (Kv11.1) reco... Read More about Accounting for variability in ion current recordings using a mathematical model of artefacts in voltage-clamp experiments.

Rapid characterisation of hERG channel kinetics II: temperature dependence (2019)
Journal Article
Lei, C. L., Clerx, M., Beattie, K. A., Melgari, D., Hancox, J. C., Gavaghan, D. J., …Mirams, G. R. (2019). Rapid characterisation of hERG channel kinetics II: temperature dependence. Biophysical Journal, 117(12), 2455-2470. https://doi.org/10.1101/609719

Ion channel behavior can depend strongly on temperature, with faster kinetics at physiological temperatures leading to considerable changes in currents relative to room temperature. These temperature-dependent changes in voltage-dependent ion channel... Read More about Rapid characterisation of hERG channel kinetics II: temperature dependence.

General Principles for the Validation of Proarrhythmia Risk Prediction Models: An Extension of the CiPA In Silico Strategy (2019)
Journal Article
Li, Z., Mirams, G. R., Yoshinaga, T., Ridder, B. J., Han, X., Chen, J. E., …Strauss, D. G. (2020). General Principles for the Validation of Proarrhythmia Risk Prediction Models: An Extension of the CiPA In Silico Strategy. Clinical Pharmacology and Therapeutics, 107(1), 102-111. https://doi.org/10.1002/cpt.1647

This white paper presents principles for validating proarrhythmia risk prediction models for regulatory use as discussed at the In Silico Breakout Session of a Cardiac Safety Research Consortium/Health and Environmental Sciences Institute/US Food and... Read More about General Principles for the Validation of Proarrhythmia Risk Prediction Models: An Extension of the CiPA In Silico Strategy.

Four Ways to Fit an Ion Channel Model (2019)
Journal Article
Clerx, M., Beattie, K., Gavaghan, D., & Mirams, G. (2019). Four Ways to Fit an Ion Channel Model. Biophysical Journal, 117(12), 2420-2437. https://doi.org/10.1016/j.bpj.2019.08.001

© 2019 Biophysical Society Mathematical models of ionic currents are used to study the electrophysiology of the heart, brain, gut, and several other organs. Increasingly, these models are being used predictively in the clinic, for example, to predict... Read More about Four Ways to Fit an Ion Channel Model.

Rapid Characterization of hERG Channel Kinetics I: Using an Automated High-Throughput System (2019)
Journal Article
Lei, C. L., Clerx, M., Gavaghan, D. J., Polonchuk, L., Mirams, G. R., & Wang, K. (2019). Rapid Characterization of hERG Channel Kinetics I: Using an Automated High-Throughput System. Biophysical Journal, 117(12), 2438-2454. https://doi.org/10.1016/j.bpj.2019.07.029

Predicting how pharmaceuticals may affect heart rhythm is a crucial step in drug-development, and requires a deep understanding of a compound’s action on ion channels. In vitro hERG-channel current recordings are an important step in evaluating the p... Read More about Rapid Characterization of hERG Channel Kinetics I: Using an Automated High-Throughput System.

Defining vitamin D status using multi-metabolite mathematical modelling: a pregnancy perspective (2019)
Journal Article
Beentjes, C., Taylor-King, J., Bayani, A., Davis, C., Dunster, J., Jabbari, S., …Tamblyn, J. (2019). Defining vitamin D status using multi-metabolite mathematical modelling: a pregnancy perspective. Journal of Steroid Biochemistry and Molecular Biology, 190, 152-160. https://doi.org/10.1016/j.jsbmb.2019.03.024

Vitamin D deficiency is linked to adverse pregnancy outcomes such as pre-eclampsia (PET) but remains defined by serum measurement of 25-hydroxyvitamin D3 (25(OH)D3) alone. To identify broader changes in vitamin D metabolism during normal and PET preg... Read More about Defining vitamin D status using multi-metabolite mathematical modelling: a pregnancy perspective.

Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology (2018)
Journal Article
Bowler, L. A., Gavaghan, D. J., Mirams, G. R., & Whiteley, J. P. (2019). Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology. Bulletin of Mathematical Biology, 81(1), 7–38. https://doi.org/10.1007/s11538-018-0516-1

Distinct electrophysiological phenotypes are exhibited 1 by biological cells that have differentiated into particular cell types. The usual approach when simulating the cardiac electrophysiology of tissue that includes different cell types is to mode... Read More about Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology.

Reproducible model development in the Cardiac Electrophysiology Web Lab (2018)
Journal Article
Daly, A. C., Clerx, M., Beattie, K. A., Cooper, J., Gavaghan, D. J., & Mirams, G. R. (2018). Reproducible model development in the Cardiac Electrophysiology Web Lab. Progress in Biophysics and Molecular Biology, 139, 3-14. https://doi.org/10.1016/j.pbiomolbio.2018.05.011

The modelling of the electrophysiology of cardiac cells is one of the most mature areas of systems biology. This extended concentration of research effort brings with it new challenges, foremost among which is that of choosing which of these models i... Read More about Reproducible model development in the Cardiac Electrophysiology Web Lab.

Near-field MIMO communication links (2018)
Journal Article
Phang, S., Ivrlac, M. T., Gradoni, G., Creagh, S. C., Tanner, G., & Nossek, J. A. (in press). Near-field MIMO communication links. IEEE Transactions on Circuits and Systems I: Regular Papers, https://doi.org/10.1109/TCSI.2018.2796305

A procedure to achieve near-field multiple input multiple output (MIMO) communication with equally strong channels is demonstrated in this paper. This has applications in near-field wireless communications, such as Chip-to-Chip (C2C) communication or... Read More about Near-field MIMO communication links.

Theory and numerical modelling of parity-time symmetric structures in photonics: boundary integral equation for coupled microresonator structures (2017)
Book Chapter
Phang, S., Vukovic, A., Gradoni, G., Sewell, P., Benson, T. M., & Creagh, S. C. (2017). Theory and numerical modelling of parity-time symmetric structures in photonics: boundary integral equation for coupled microresonator structures. In Recent Trends in Computational Photonics. Springer Nature

The spectral behaviour and the real-time operation of Parity-Time (PT) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gai... Read More about Theory and numerical modelling of parity-time symmetric structures in photonics: boundary integral equation for coupled microresonator structures.

Theory and numerical modelling of parity-time symmetric structures in photonics: introduction and grating structures in one dimension (2017)
Book Chapter
Phang, S., Benson, T. M., Susanto, H., Creagh, S. C., Gradoni, G., Sewell, P. D., & Vukovic, A. (in press). Theory and numerical modelling of parity-time symmetric structures in photonics: introduction and grating structures in one dimension. In T. M. Benson, A. Agrawal, R. De La Rue, & G. Wurtz (Eds.), Recent trends in computational photonics. Springer Nature. https://doi.org/10.1007/978-3-319-55438-9_6

A class of structures based on PT PT-symmetric Bragg gratings in the presence of both gain and loss is studied. The basic concepts and properties of parity and time reversal in one-dimensional structures that possess idealised material properties are... Read More about Theory and numerical modelling of parity-time symmetric structures in photonics: introduction and grating structures in one dimension.

Localized single frequency lasing states in a finite parity-time symmetric resonator chain (2016)
Journal Article
Phang, S., Vukovic, A., Creagh, S. C., Sewell, P., Gradoni, G., & Benson, T. M. (2016). Localized single frequency lasing states in a finite parity-time symmetric resonator chain. Scientific Reports, 6, https://doi.org/10.1038/srep20499

In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part of the mate... Read More about Localized single frequency lasing states in a finite parity-time symmetric resonator chain.

Parity-time symmetric coupled microresonators with a dispersive gain/loss (2015)
Journal Article
Phang, S., Vukovic, A., Creagh, S. C., Benson, T. M., Sewell, P. D., & Gradoni, G. (2015). Parity-time symmetric coupled microresonators with a dispersive gain/loss. Optics Express, 23(9), 11493-11507. https://doi.org/10.1364/oe.23.011493

The paper reports on the coupling of Parity-Time (PT)-symmetric whispering gallery resonators with realistic material and gain/loss models. Response of the PT system is analyzed for the case of low and high material and gain dispersion, and also for... Read More about Parity-time symmetric coupled microresonators with a dispersive gain/loss.

Inference of the Arabidopsis lateral root gene regulatory network suggests a bifurcation mechanism that defines primordia flanking and central zones (2015)
Journal Article
Lavenus, J., Goh, T., Guyomarc’h, S., Hill, K., Lucas, M., Voß, U., …Bennett, M. J. (2015). Inference of the Arabidopsis lateral root gene regulatory network suggests a bifurcation mechanism that defines primordia flanking and central zones. Plant Cell, 27(5), 1368-1388. https://doi.org/10.1105/tpc.114.132993

A large number of genes involved in lateral root (LR) organogenesis have been identified over the last decade using forward and reverse genetic approaches in Arabidopsis thaliana. Nevertheless, how these genes interact to form a LR regulatory network... Read More about Inference of the Arabidopsis lateral root gene regulatory network suggests a bifurcation mechanism that defines primordia flanking and central zones.

A versatile all-optical parity-time signal processing device using a Bragg grating induced using positive and negative Kerr-nonlinearity (2015)
Journal Article
Phang, S., Vukovic, A., Benson, T. M., Susanto, H., & Sewell, P. (2015). A versatile all-optical parity-time signal processing device using a Bragg grating induced using positive and negative Kerr-nonlinearity. Optical and Quantum Electronics, 47(1), https://doi.org/10.1007/s11082-014-0012-2

The properties of gratings with Kerr nonlinearity and PT symmetry are investigated in this paper. The impact of the gain and loss saturation on the response of the grating is analysed for different input intensities and gain/loss parameters. Potentia... Read More about A versatile all-optical parity-time signal processing device using a Bragg grating induced using positive and negative Kerr-nonlinearity.