All Outputs (48)

Mitochondrial phosphoenolpyruvate carboxykinase (PEPCK-M) and serine biosynthetic pathway genes are co-ordinately increased during anabolic agent-induced skeletal muscle growth (2016)
Journal Article

We aimed to identify novel molecular mechanisms for muscle growth during administration of anabolic agents. Growing pigs (Duroc/(Landrace/Large-White)) were administered Ractopamine (a beta-adrenergic agonist; BA; 20 ppm in feed) or Reporcin (recombi... Read More about Mitochondrial phosphoenolpyruvate carboxykinase (PEPCK-M) and serine biosynthetic pathway genes are co-ordinately increased during anabolic agent-induced skeletal muscle growth.

The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans (2016)
Journal Article

Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for... Read More about The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans.

Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices (2015)
Journal Article

We start by considering the sine-Gordon partial differential equation (PDE with an arbitrary perturbation. Using the method of Kuzmak-Luke, we investigate those conditions the perturbation must satisfy in order for a breather solution to be a vali... Read More about Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices.

Random sequential adsorption with two components: asymptotic analysis and finite size effects (2015)
Journal Article

We consider the model of random sequential adsorption (RSA) in which two lengths of rod-like polymer compete for binding on a long straight rigid one-dimensional substrate. We take all lengths to be discrete, assume that binding is irreversible, and... Read More about Random sequential adsorption with two components: asymptotic analysis and finite size effects.

Mathematical modelling of hepatic lipid metabolism (2015)
Journal Article

The aim of this paper is to develop a mathematical model capable of simulating the metabolic response to a variety of mixed meals in fed and fasted conditions with particular emphasis placed on the hepatic triglyceride element of the model. Model va... Read More about Mathematical modelling of hepatic lipid metabolism.

Behaviour of the extended Toda lattice (2015)
Journal Article

We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to... Read More about Behaviour of the extended Toda lattice.

Scaling behavior near jamming in random sequential adsorption (2015)
Journal Article

For the Random Sequential Adsorption model, we introduce the ‘availability’ as a new variable corresponding to the number of available locations in which an adsorbate can be accommodated. We investigate the relation of the availability to the coverag... Read More about Scaling behavior near jamming in random sequential adsorption.

Decay of bound states in a sine-Gordon equation with double well potentials (2015)
Journal Article

We consider a spatially inhomogeneous sine-Gordon equation with a double-well potential, describing long Josephson junctions with phase-shifts. We discuss the interactions of symmetric and antisymmetric bound states in the system. Using a multiple sc... Read More about Decay of bound states in a sine-Gordon equation with double well potentials.

A mathematical model of the human metabolic system and metabolic flexibility (2014)
Journal Article

In healthy subjects some tissues in the human body display metabolic flexibility, by this we mean the ability for the tissue to switch its fuel source between predominantly carbohydrates in the post prandial state and predominantly fats in the fasted... Read More about A mathematical model of the human metabolic system and metabolic flexibility.

Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices (2014)
Journal Article

We consider the two-dimensional Fermi-Pasta-Ulam lattice with hexagonal honeycomb symmetry, which is a Hamiltonian system describing the evolution of a scalar-valued quantity subject to nearest neighbour interactions. Using multiple-scale analy... Read More about Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices.

Modelling the regulation of telomere length: the effects of telomerase and G-quadruplex stabilising drugs (2013)
Journal Article

Telomeres are guanine-rich sequences at the end of chromosomes which shorten during each replication event and trigger cell cycle arrest and/or controlled death (apoptosis) when reaching a threshold length. The enzyme telomerase replenishes the ends... Read More about Modelling the regulation of telomere length: the effects of telomerase and G-quadruplex stabilising drugs.

Behaviour of the extended Volterra lattice (2013)
Journal Article

We investigate the behaviour of solutions of the recently proposed extended Volterra lattice. A variety of methods are used to determine the effects of the new terms on small amplitude equations, and, following approximation of the partial differenti... Read More about Behaviour of the extended Volterra lattice.

The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments (2012)
Journal Article

The pentacyclic acridinium salt RHPS4 displays anti-tumour properties in vitro as well as in vivo and is potentially cell-cycle specific. We have collected experimental data and formulated a compartmental model using ordinary differential equations t... Read More about The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments.

Chiral polymerisation and the RNA world (2005)
Journal Article

The purpose of this paper is to review two mathematical models: one for the formation of homochiral polymers from an originally chirally symmetric system; and the other, to show how, in an RNA-world scenario, RNA can simultaneously act both as inf... Read More about Chiral polymerisation and the RNA world.

Nonlinear breathing modes at a defect (2004)
Journal Article

Recent molecular dynamics (MD) simulations of Cubero et al (1999) of a DNA duplex containing the 'rogue' base difluorotoluene (F) in place of a thymine (T) base show that breathing events can occur on the nanosecond timescale, whereas breathing ev... Read More about Nonlinear breathing modes at a defect.

Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes
Journal Article

We review our work on generalisations of the Becker-Doring model of cluster-formation as applied to nucleation theory, polymer growth kinetics, and the formation of upramolecular structures in colloidal chemistry. One valuable tool in analysing math... Read More about Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes.

DNA charge neutralisation by linear polymers I: irreversible binding
Journal Article

We develop a deterministic mathematical model to describe the way in which polymers bind to DNA by considering the dynamics of the gap distribution that forms when polymers bind to a DNA plasmid. In so doing, we generalise existing theory to accou... Read More about DNA charge neutralisation by linear polymers I: irreversible binding.

DNA charge neutralisation by linear polymers II: reversible binding
Journal Article

We model the way in which polymers bind to DNA and neutralise its charged backbone by analysing the dynamics of the distribution of gaps along the DNA. We generalise existing theory for irreversible binding to construct new deterministic models... Read More about DNA charge neutralisation by linear polymers II: reversible binding.

An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach
Journal Article

We summarise the properties and the fundamental mathematical results associated with basic models which describe coagulation and fragmentation processes in a deterministic manner and in which cluster size is a discrete quantity (an integer multip... Read More about An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach.

Exact solutions for cluster-growth kinetics with evolving size and shape profiles
Journal Article

In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are clu... Read More about Exact solutions for cluster-growth kinetics with evolving size and shape profiles.