Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics (2023)
Journal Article
Shuttleworth, J. G., Lei, C. L., Whittaker, D. G., Windley, M. J., Hill, A. P., Preston, S. P., & Mirams, G. R. (2024). Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics. Bulletin of Mathematical Biology, 86(1), Article 2. https://doi.org/10.1007/s11538-023-01224-6

When using mathematical models to make quantitative predictions for clinical or industrial use, it is important that predictions come with a reliable estimate of their accuracy (uncertainty quantification). Because models of complex biological system... Read More about Empirical Quantification of Predictive Uncertainty Due to Model Discrepancy by Training with an Ensemble of Experimental Designs: An Application to Ion Channel Kinetics.

Ion channel model reduction using manifold boundaries (2022)
Journal Article
Whittaker, D. G., Wang, J., Shuttleworth, J., Venkateshappa, R., Kemp, J. M., Claydon, T. W., & Mirams, G. R. (2022). Ion channel model reduction using manifold boundaries. Journal of the Royal Society, Interface, 19(193), Article 20220193. https://doi.org/10.1098/rsif.2022.0193

Mathematical models of voltage-gated ion channels are used in basic research, industrial and clinical settings. These models range in complexity, but typically contain numerous variables representing the proportion of channels in a given state, and p... Read More about Ion channel model reduction using manifold boundaries.

Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices (2022)
Journal Article
Zhang, K., & Yin, K. (2022). Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices. Electronic Research Archive, 30(5), 1632-1652. https://doi.org/10.3934/era.2022082

In this paper we apply a smoothing technique for the maximum function, based on the compensated convex transforms, originally proposed by Zhang in [1] to construct some computable multiwell non-negative quasiconvex functions in the calculus of variat... Read More about Some computable quasiconvex multiwell models in linear subspaces without rank-one matrices.

chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians (2022)
Journal Article
Hendrix, M., Clerx, M., Tamuri, A. U., Keating, S. M., Johnstone, R. H., Cooper, J., & Mirams, G. R. (2022). chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians. Wellcome Open Research, 6, Article 261. https://doi.org/10.12688/wellcomeopenres.17206.1

Hundreds of different mathematical models have been proposed for describing electrophysiology of various cell types. These models are quite complex (nonlinear systems of typically tens of ODEs and sometimes hundreds of parameters) and software packag... Read More about chaste codegen: automatic CellML to C++ code generation with fixes for singularities and automatically generated Jacobians.

Cardiac TdP risk stratification modelling of anti-infective compounds including chloroquine and hydroxychloroquine (2021)
Journal Article
Whittaker, D. G., Capel, R. A., Hendrix, M., Chan, X. H. S., Herring, N., White, N. J., …Burton, R. A. B. (2021). Cardiac TdP risk stratification modelling of anti-infective compounds including chloroquine and hydroxychloroquine. Royal Society Open Science, 8(4), Article 210235. https://doi.org/10.1098/rsos.210235

Hydroxychloroquine (HCQ), the hydroxyl derivative of chloroquine (CQ), is widely used in the treatment of rheumatological conditions (systemic lupus erythematosus, rheumatoid arthritis) and is being studied for the treatment and prevention of COVID-1... Read More about Cardiac TdP risk stratification modelling of anti-infective compounds including chloroquine and hydroxychloroquine.

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), Article 014022. 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), Article 20190348. 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.

Near-Field MIMO Communication Links (2018)
Journal Article
Phang, S., Ivrlac, M. T., Gradoni, G., Creagh, S. C., Tanner, G., & Nossek, J. A. (2018). Near-Field MIMO Communication Links. IEEE Transactions on Circuits and Systems I: Regular Papers, 65(9), 3027-3036. https://doi.org/10.1109/tcsi.2018.2796305

© 2004-2012 IEEE. 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... 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 (2016)
Book Chapter
Phang, S., Benson, T. M., Susanto, H., Creagh, S. C., Gradoni, G., Sewell, P. D., & Vukovic, A. (2016). Theory and numerical modelling of parity-time symmetric structures in photonics: Introduction and grating structures in one dimension. In A. Agrawal, T. M. Benson, R. De La Rue, & G. Wurtz (Eds.), Recent trends in computational photonics (161-205). Springer. 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, Article e20499. 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.

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.