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Computational assessment of drug-induced effects on the electrocardiogram: From ion channel to body surface potentials (2013)
Journal Article
Zemzemi, N., Bernabeu, M. O., Saiz, J., Cooper, J., Pathmanathan, P., Mirams, G. R., …Rodriguez, B. (2013). Computational assessment of drug-induced effects on the electrocardiogram: From ion channel to body surface potentials. British Journal of Pharmacology, 168(3), 718-733. https://doi.org/10.1111/j.1476-5381.2012.02200.x

Background and Purpose: Understanding drug effects on the heart is key to safety pharmacology assessment and anti-arrhythmic therapy development. Here our goal is to demonstrate the ability of computational models to simulate the effect of drug actio... Read More about Computational assessment of drug-induced effects on the electrocardiogram: From ion channel to body surface potentials.

Feedback inhibition enables theta-nested gamma oscillations and grid firing fields (2013)
Journal Article
Pastoll, H., Solanka, L., van Rossum, M. C., & Nolan, M. F. (2013). Feedback inhibition enables theta-nested gamma oscillations and grid firing fields. Neuron, 77(1), https://doi.org/10.1016/j.neuron.2012.11.032

Cortical circuits are thought to multiplex firing rate codes with temporal codes that rely on oscillatory network activity, but the circuit mechanisms that combine these coding schemes are unclear. We establish with optogenetic activation of layer II... Read More about Feedback inhibition enables theta-nested gamma oscillations and grid firing fields.

Limitations of perturbative techniques in the analysis of rhythms and oscillations (2013)
Journal Article
Lin, K. K., Wedgwood, K. C., Coombes, S., & Young, L. (2013). Limitations of perturbative techniques in the analysis of rhythms and oscillations. Journal of Mathematical Biology, 66(1-2), https://doi.org/10.1007/s00285-012-0506-0

Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in question are “sufficiently weak”, an assumption that is not always valid when... Read More about Limitations of perturbative techniques in the analysis of rhythms and oscillations.

Application of hp-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows (2013)
Conference Proceeding
Cliffe, A., Hall, E., & Houston, P. (2013). Application of hp-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows.

In this article we consider the a posteriori error estimation and adaptive mesh refinement of hp-version discontinuous Galerkin finite element approximations of the bifurcation problem associated with the steady incompressible Navier-Stokes equations... Read More about Application of hp-adaptive discontinuous Galerkin methods to bifurcation phenomena in pipe flows.

Mirror symmetry and Fano manifolds (2013)
Conference Proceeding
Coates, T., Corti, A., Galkin, S., Golyshev, V., & Kasprzyk, A. M. (2013). Mirror symmetry and Fano manifolds.

We consider mirror symmetry for Fano manifolds, and describe how one can recover the classification of 3-dimensional Fano manifolds from the study of their mirrors. We sketch a program to classify 4-dimensional Fano manifolds using these ideas.

Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration (2013)
Conference Proceeding
Congreve, S., & Houston, P. (2013). Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration.

In this paper we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem based on the application of a single step of a no... Read More about Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration.

hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows (2013)
Conference Proceeding
Congreve, S., Houston, P., & Wihler, T. P. (2013). hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows.

We develop the a posteriori error analysis, with respect to a mesh-dependent energy norm, of two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian flows. The performance of the proposed estimators within an hp-adaptive... Read More about hp-adaptive two-grid discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows.

Intrinsic distortion of a fully differential BD-modulated Class-D amplifier with analog feedback (2013)
Journal Article
Cox, S. M., Yu, J., Goh, W., & Tan, M. (2013). Intrinsic distortion of a fully differential BD-modulated Class-D amplifier with analog feedback. IEEE Transactions on Circuits and Systems I: Regular Papers, 60(1), https://doi.org/10.1109/TCSI.2012.2215713

This paper presents a mathematical analysis of a fully differential BD-modulated Class-D amplifier with analog feedback, i.e., one having a bridge-tied-load output configuration with negative feedback and ternary PWM signal. Notwithstanding the highl... Read More about Intrinsic distortion of a fully differential BD-modulated Class-D amplifier with analog feedback.