All Outputs (48)

Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings (2013)
Book Chapter

Experimental recordings of transmural activation in the human left ventricle show variability in recorded activation times. In this paper we demonstrate a framework for fitting the conductivity tensor of a monodomain model to reproduce activation tim... Read More about Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings.

A depth-averaged model for non-isothermal thin-film rimming flow (2013)
Journal Article

A model for non-isothermal shear-driven thin-film flow on the inside surface of a stationary circular cylinder is presented. Motivated by an application to film flow in an aero-engine bearing chamber the model extends lubrication theory analysis of t... Read More about A depth-averaged model for non-isothermal thin-film rimming flow.

On the epidemic of financial crises (2013)
Journal Article

The paper proposes a framework for modelling financial contagion that is based on susceptible-infected-recovered transmission models from epidemic theory. This class of models addresses two important features of contagion modelling, which are a commo... Read More about On the epidemic of financial crises.

Dirac Operators on Noncommutative Curved Spacetimes (2013)
Journal Article

We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy.... Read More about Dirac Operators on Noncommutative Curved Spacetimes.

Mathematical analysis of a model for the growth of the bovine corpus luteum (2013)
Journal Article

© 2013, Springer-Verlag Berlin Heidelberg. The corpus luteum (CL) is an ovarian tissue that grows in the wound space created by follicular rupture. It produces the progesterone needed in the uterus to maintain pregnancy. Rapid growth of the CL and pr... Read More about Mathematical analysis of a model for the growth of the bovine corpus luteum.

On the robustness of entanglement in analogue gravity systems (2013)
Journal Article

We investigate the possibility of generating quantum-correlated quasi-particles utilizing analogue gravity systems. The quantumness of these correlations is a key aspect of analogue gravity effects and their presence allows for a clear separation bet... Read More about On the robustness of entanglement in analogue gravity systems.

Piecewise Approximate Bayesian Computation: fast inference for discretely observed Markov models using a factorised posterior distribution (2013)
Journal Article

© 2013, The Author(s). Many modern statistical applications involve inference for complicated stochastic models for which the likelihood function is difficult or even impossible to calculate, and hence conventional likelihood-based inferential techni... Read More about Piecewise Approximate Bayesian Computation: fast inference for discretely observed Markov models using a factorised posterior distribution.

Baxter Operator Formalism for Macdonald Polynomials (2013)
Journal Article

We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A. Precisely, we construct a bispectral pair of mutually commuting Baxter operators such that the Macdonald polynomials... Read More about Baxter Operator Formalism for Macdonald Polynomials.

Participatory development and analysis of a fuzzy cognitive map of the establishment of a bio-based economy in the Humber Region (2013)
Journal Article

Fuzzy Cognitive Mapping (FCM) is a widely used participatory modelling methodology in which stakeholders collaboratively develop a ‘cognitive map’ (a weighted, directed graph), representing the perceived causal structure of their system. This can be... Read More about Participatory development and analysis of a fuzzy cognitive map of the establishment of a bio-based economy in the Humber Region.

The interplay between tissue growth and scaffold degradation in engineered tissue constructs (2013)
Journal Article

In vitro tissue engineering is emerging as a potential tool to meet the high demand for replacement tissue, caused by the increased incidence of tissue degeneration and damage. A key challenge in this field is ensuring that the mechanical properties... Read More about The interplay between tissue growth and scaffold degradation in engineered tissue constructs.

Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems (2013)
Journal Article

© 2013 The authors. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This work is concerned with the derivation of a robust a posteriori error estimator for a discontinuous Gale... Read More about Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems.

Module parallel transports in fuzzy gauge theory (2013)
Journal Article

In this paper, we define and investigate a notion of parallel transport on finite projective modules over finite matrix algebras. Given a derivation-based differential calculus on the algebra and a connection on the module, we construct for every der... Read More about Module parallel transports in fuzzy gauge theory.

hp-Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows (2013)
Journal Article

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 hp-Adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows.

Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear (2013)
Journal Article

In this paper, we study two-dimensional thin-film flow inside a stationary circular cylinder driven by an imposed surface shear stress. Modelling is motivated by a need to understand the cooling and film dynamics provided by oil films in an aero-engi... Read More about Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear.

In–out decomposition of boundary integral equations (2013)
Journal Article

We propose a reformulation of the boundary integral equations for the Helmholtz equation in a domain in terms of incoming and outgoing boundary waves. We obtain transfer operator descriptions which are exact and thus incorporate features such as diff... Read More about In–out decomposition of boundary integral equations.

Derivatives of meromorphic functions of finite order (2013)
Journal Article

A result is proved concerning meromorphic functions of finite order in the plane such that all but finitely many zeros of the second derivative are zeros of the first derivative.

Hierarchy and dynamics of trace distance correlations (2013)
Journal Article

We define and analyze measures of correlations for bipartite states based on trace distance. For Bell diagonal states of two qubits, in addition to the known expression for quantum correlations using this metric, we provide analytic expressions for t... Read More about Hierarchy and dynamics of trace distance correlations.

Saddlepoint approximations for the normalizing constant of Fisher–Bingham distributions on products of spheres and Stiefel manifolds (2013)
Journal Article

In an earlier paper Kume & Wood (2005) showed how the normalizing constant of the Fisher– Bingham distribution on a sphere can be approximated with high accuracy using a univariate saddlepoint density approximation. In this sequel, we extend the ap... Read More about Saddlepoint approximations for the normalizing constant of Fisher–Bingham distributions on products of spheres and Stiefel manifolds.

Group Elastic Symmetries Common to Continuum and Discrete Defective Crystals (2013)
Journal Article

The Lie group structure of crystals which have uniform continuous distributions of dislocations allows one to construct associated discrete structures—these are discrete subgroups of the corresponding Lie group, just as the perfect lattices of crysta... Read More about Group Elastic Symmetries Common to Continuum and Discrete Defective Crystals.

Activation of store-operated calcium entry in airway smooth muscle cells: insight from a mathematical model (2013)
Journal Article

Intracellular dynamics of airway smooth muscle cells (ASMC) mediate ASMC contraction and proliferation, and thus play a key role in airway hyper-responsiveness (AHR) and remodelling in asthma. We evaluate the importance of store-operated entry (SOC... Read More about Activation of store-operated calcium entry in airway smooth muscle cells: insight from a mathematical model.