All Outputs (39)

Is it time for in silico simulation of drug cardiac side effects? (2011)
Journal Article

Cardiac simulation is used to integrate information on drug action to predict side effects on the whole heart. Could simulation begin to replace animal models? © 2011 New York Academy of Sciences.

The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling (2011)
Journal Article

Juxtacrine signalling mechanisms are known to be crucial in tissue and organ development, leading to spatial patterns in gene expression. We investigate the patterning behaviour of a discrete model of juxtacrine cell signalling due to Owen \& Sherrat... Read More about The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling.

On symmetries of crystals with defects related to a class of solvable groups (S1) (2011)
Journal Article

We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crysta... Read More about On symmetries of crystals with defects related to a class of solvable groups (S1).

Fluctuations in the open time of synaptic channels: an application to noise analysis based on charge (2011)
Journal Article

Synaptic channels are stochastic devices. Even recording from large ensembles of channels, the fluctuations, described by Markov transition matrices, can be used to extract single channel properties. Here we study fluctuations in the open time of cha... Read More about Fluctuations in the open time of synaptic channels: an application to noise analysis based on charge.

Dendritic spine dynamics regulate the long-term stability of synaptic plasticity (2011)
Journal Article

Long-term synaptic plasticity requires postsynaptic influx of Ca²⁺ and is accompanied by changes in dendritic spine size. Unless Ca²⁺ influx mechanisms and spine volume scale proportionally, changes in spine size will modify spine Ca²⁺ concentrations... Read More about Dendritic spine dynamics regulate the long-term stability of synaptic plasticity.

Distinguishing possible mechanisms for auxin-mediated developmental control in Arabidopsis: Models with two Aux/IAA and ARF proteins, and two target gene-sets (2011)
Journal Article

New models of gene transcriptional responses to auxin signalling in Arabidopsis are presented. This work extends a previous model of auxin signalling to include networks of gene-sets which may control developmental responses along auxin gradients. Ke... Read More about Distinguishing possible mechanisms for auxin-mediated developmental control in Arabidopsis: Models with two Aux/IAA and ARF proteins, and two target gene-sets.

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes (2011)
Thesis

The focus of this PhD thesis is on applications, new developments and extensions of the noncommutative gravity theory proposed by Julius Wess and his group. In part one we propose an extension of the usual symmetry reduction procedure to noncommut... Read More about Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes.

Fundamental properties of Ca²⁺ signals (2011)
Journal Article

Background Ca²⁺ is a ubiquitous and versatile second messenger that transmits information through changes of the cytosolic Ca²⁺ concentration. Recent investigations changed basic ideas on the dynamic character of Ca²⁺ signals and challenge tradition... Read More about Fundamental properties of Ca²⁺ signals.

A local sensitivity analysis method for developing biological models with identifiable parameters: Application to cardiac ionic channel modelling (2011)
Journal Article

Computational cardiac models provide important insights into the underlying mechanisms of heart function. Parameter estimation in these models is an ongoing challenge with many existing models being overparameterised. Sensitivity analysis presents a... Read More about A local sensitivity analysis method for developing biological models with identifiable parameters: Application to cardiac ionic channel modelling.

Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry (2011)
Journal Article

In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the bifurcation problem associated with the steady incompressible Navier-Stokes equations. Particula... Read More about Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry.

High-throughput functional curation of cellular electrophysiology models (2011)
Journal Article

Effective reuse of a quantitative mathematical model requires not just access to curated versions of the model equations, but also an understanding of the functional capabilities of the model, and the advisable scope of its application. To enable thi... Read More about High-throughput functional curation of cellular electrophysiology models.

Roots of Ehrhart polynomials of smooth Fano polytopes (2011)
Journal Article

V. Golyshev conjectured that for any smooth polytope P of dimension at most five, the roots $z\in\C$ of the Ehrhart polynomial for P have real part equal to -1/2. An elementary proof is given, and in each dimension the roots are described explicitly.... Read More about Roots of Ehrhart polynomials of smooth Fano polytopes.

Minimum Information about a Cardiac Electrophysiology Experiment (MICEE): Standardised reporting for model reproducibility, interoperability, and data sharing (2011)
Journal Article

Cardiac experimental electrophysiology is in need of a well-defined Minimum Information Standard for recording, annotating, and reporting experimental data. As a step towards establishing this, we present a draft standard, called Minimum Information... Read More about Minimum Information about a Cardiac Electrophysiology Experiment (MICEE): Standardised reporting for model reproducibility, interoperability, and data sharing.

Colliding branes and big crunches (2011)
Journal Article

We examine the global structure of colliding domain walls in AdS spacetime and come to the conclusion that singularities forming from such collisions are of the big-crunch type rather than that of a black brane.

The boundary volume of a lattice polytope (2011)
Journal Article

For a d-dimensional convex lattice polytope P, a formula for the boundary volume vol(?P) is derived in terms of the number of boundary lattice points on the first [d/2] dilations of P. As an application we give a necessary and sufficient condition fo... Read More about The boundary volume of a lattice polytope.

A converse theorem for double Dirichlet series (2011)
Journal Article

We prove that a certain vector valued double Dirichlet series satisfying appropriate functional equations is a Mellin transform of a vector valued metaplectic Eisenstein series. We establish an analogous result for scalar double Dirichlet series of t... Read More about A converse theorem for double Dirichlet series.

Multiscale analysis of pattern formation via intercellular signalling (2011)
Journal Article

Lateral inhibition, a juxtacrine signalling mechanism by which a cell adopting a particular fate inhibits neighbouring cells from doing likewise, has been shown to be a robust mechanism for the formation of fine-grained spatial patterns (in which adj... Read More about Multiscale analysis of pattern formation via intercellular signalling.

Nonsmooth dynamics in spiking neuron models (2011)
Journal Article

Large scale studies of spiking neural networks are a key part of modern approaches to understanding the dynamics of biological neural tissue. One approach in computational neuroscience has been to consider the detailed electrophysiological propertie... Read More about Nonsmooth dynamics in spiking neuron models.

Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects (2011)
Journal Article

We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a 'defective point group' (determined by the dislocation density tensor), we g... Read More about Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects.

Novel approaches to assessing cardiac safety - Proceedings of a workshop: Regulators, industry and academia discuss the future of in silico cardiac modelling to predict the proarrhythmic safety of drugs (2011)
Journal Article