All Outputs (100)

Translating intracellular calcium signaling into models (2014)
Journal Article

The rich experimental data on intracellular calcium has put theoreticians in an ideal position to derive models of intracellular calcium signaling. Over the last 25 years, a large number of modeling frameworks have been suggested. Here, I will review... Read More about Translating intracellular calcium signaling into models.

Time to blip – stochastic simulation of single channel opening (2014)
Journal Article

The stochastic dynamics of the inositol-1,4,5-trisphosphate (IP3) receptor (IP3R) is key to understanding a wide range of observed calcium (Ca2+) signals (Falcke 2004). The stochastic nature results from the constant binding and unbinding of Ca2+ and... Read More about Time to blip – stochastic simulation of single channel opening.

Oscillations in a point models of the intracellular Ca2+ concentration (2014)
Journal Article

Oscillations in the intracellular calcium (Ca2+) concentration form one of the main pathways by which cells translate external stimuli into physiological responses (Thul et al. 2008; Dupont et al. 2011; Parekh 2011). The mechanisms that underlie the... Read More about Oscillations in a point models of the intracellular Ca2+ concentration.

Efficient simulation of gas-liquid pipe flows using a generalized population balance equation coupled with the algebraic slip model (2014)
Journal Article

Spots: breathing, drifting and scattering in a neural field model (2014)
Book Chapter

Two dimensional neural field models with short range excitation and long range inhibition can exhibit localised solutions in the form of spots. Moreover, with the inclusion of a spike frequency adaptation current, these models can also support breath... Read More about Spots: breathing, drifting and scattering in a neural field model.

Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows (2014)
Journal Article

In this article we consider the application of Schwarz-type domain decomposition preconditioners to the discontinuous Galerkin finite element approximation of the compressible Navier-Stokes equations. To discretize this system of conservation laws, w... Read More about Domain decomposition preconditioners for discontinuous Galerkin discretizations of compressible fluid flows.

Spatially extended Unruh-DeWitt detectors for relativistic quantum information (2014)
Journal Article

Spacings around and order statistic (2014)
Journal Article

We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or an extreme order statistic Xk:n of a random sample of size n from a continuous distribution F. For central and intermediate cases, normalized spacing... Read More about Spacings around and order statistic.

Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development (2014)
Journal Article

Most neocortical neurons formed during embryonic brain development arise from radial glial cells which communicate, in part, via ATP mediated calcium signals. Although the intercellular signalling mechanisms that regulate radial glia proliferation ar... Read More about Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development.

Size and shape analysis of error-prone shape data (2014)
Journal Article

We consider the problem of comparing sizes and shapes of objects when landmark data are prone to measurement error. We show that naive implementation of ordinary Procrustes analysis that ignores measurement error can compromise inference. To account... Read More about Size and shape analysis of error-prone shape data.

Distances and inference for covariance operators (2014)
Journal Article

A framework is developed for inference concerning the covariance operator of a functional random process, where the covariance operator itself is an object of interest for statistical analysis. Distances for comparing positive-definite covariance mat... Read More about Distances and inference for covariance operators.

Emergence of airway smooth muscle mechanical behaviour through dynamic reorganisation of contractile units and force transmission pathways (2014)
Journal Article

On the measure of the cut locus of a Fréchet mean (2014)
Journal Article

One of the fundamental differences between the Central Limit Theorem for empirical Fréchet means obtained in [Kendall and Le, ‘Limit theorems for empirical Fréchet means of independent and non‐identically distributed manifold‐valued random variables’... Read More about On the measure of the cut locus of a Fréchet mean.

Experimental entanglement activation from discord in a programmable quantum measurement (2014)
Journal Article

In quantum mechanics, observing is not a passive act. Consider a system of two quantum particles A and B: if a measurement apparatus M is used to make an observation on B, the overall state of the system AB will typically be altered. When this happen... Read More about Experimental entanglement activation from discord in a programmable quantum measurement.

A converse theorem for double Dirichlet series and Shintani zeta functions (2014)
Journal Article

The main aim of this paper is to obtain a converse theorem for double Dirichlet series and use it to show that the Shintani zeta functions which arise in the theory of prehomogeneous vector spaces are actually linear combinations of Mellin transforms... Read More about A converse theorem for double Dirichlet series and Shintani zeta functions.

Ten Simple Rules for Effective Computational Research (2014)
Journal Article

Quantum metrology for relativistic quantum fields (2014)
Journal Article

In quantum metrology quantum properties such as squeezing and entanglement are exploited in the design of a new generation of clocks, sensors and other measurement devices that can outperform their classical counterparts. Applications of great techno... Read More about Quantum metrology for relativistic quantum fields.

The role of inflammation resolution speed in airway smooth muscle mass accumulation in asthma: insight from a theoretical model (2014)
Journal Article

Despite a large amount of in vitro data, the dynamics of airway smooth muscle (ASM) mass increase in the airways of patients with asthma is not well understood. Here, we present a novel mathematical model that describes qualitatively the growth dynam... Read More about The role of inflammation resolution speed in airway smooth muscle mass accumulation in asthma: insight from a theoretical model.

Mathematical and computational models of drug transport in tumours (2014)
Journal Article

The ability to predict how far a drug will penetrate into the tumour microenvironment within its pharmacokinetic (PK) lifespan would provide valuable information about therapeutic response. As the PK profile is directly related to the route and sched... Read More about Mathematical and computational models of drug transport in tumours.

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes (2014)
Journal Article

An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical solution of second-order elliptic partial differential equations on general computational meshes consisting of polygonal/polyhedral elements is presented and analy... Read More about hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes.