All Outputs (1558)

Importance of modelling hERG binding in predicting drug-induced action potential prolongations for drug safety assessment (2023)
Journal Article

Reduction of the rapid delayed rectifier potassium current (IKr) via drug binding to the human Ether-à-go-go-Related Gene (hERG) channel is a well recognised mechanism that can contribute to an increased risk of Torsades de Pointes. Mathematical mode... Read More about Importance of modelling hERG binding in predicting drug-induced action potential prolongations for drug safety assessment.

The effects of chemical and mechanical interactions on the thermodynamic pressure for mineral solid solutions (2023)
Journal Article

We use a coupled thermodynamically consistent framework to model reactive chemo-mechanical responses of solid solutions. Specifically, we focus on chemically active solid solutions that are subject to mechanical effects due to heterogeneous stress di... Read More about The effects of chemical and mechanical interactions on the thermodynamic pressure for mineral solid solutions.

Burgers’ equation in the complex plane (2023)
Journal Article

Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations in one spatial direction and traffic flow, for example. Following on from previous work, we analyse solutions to Burgers' equation in the... Read More about Burgers’ equation in the complex plane.

Dynamics of long bubbles propagating through cylindrical micro-pin fin arrays (2023)
Journal Article

The dynamics of two-phase flows confined within complex and non-straight geometries is of interest for a variety of applications such as micro-pin fin evaporators and flow in unsaturated porous media. Despite the propagation of bubbles in straight ch... Read More about Dynamics of long bubbles propagating through cylindrical micro-pin fin arrays.

Next generation neural population models (2023)
Journal Article

Low-dimensional neural mass models are often invoked to model the coarse-grained activity of large populations of neurons and synapses and have been used to help understand the coordination of large scale brain rhythms. However, they are phenomenolog... Read More about Next generation neural population models.

Autocorrelated measurement processes and inference for ordinary differential equation models of biological systems (2023)
Journal Article

Ordinary differential equation models are used to describe dynamic processes across biology. To perform likelihood-based parameter inference on these models, it is necessary to specify a statistical process representing the contribution of factors no... Read More about Autocorrelated measurement processes and inference for ordinary differential equation models of biological systems.

Consensus-based optimization via jump-diffusion stochastic differential equations (2023)
Journal Article

We introduce a new consensus-based optimization (CBO) method where an interacting particle system is driven by jump-diffusion stochastic differential equations (SDEs). We study well-posedness of the particle system as well as of its mean-field limit.... Read More about Consensus-based optimization via jump-diffusion stochastic differential equations.

A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities (2023)
Journal Article

Over the last decades, many diffuse-interface Navier-Stokes Cahn-Hilliard (NSCH) models with non-matching densities have appeared in the literature. These models claim to describe the same physical phenomena, yet they are distinct from one another. T... Read More about A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities.

Strictification theorems for the homotopy time-slice axiom (2023)
Journal Article

It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the cases of Haag–Kastler-type AQFTs on a fixed globally hyperbolic Lorentzi... Read More about Strictification theorems for the homotopy time-slice axiom.

A rational approach to beam path planning in additive manufacturing: the inverse heat placement problem (2023)
Journal Article

High demand for components with complex geometries at macro and micro levels drives the development of additive manufacturing (AM). However, the scientific basis for designing energy beam scanning strategies (e.g. beam scanning speed, beam path, beam... Read More about A rational approach to beam path planning in additive manufacturing: the inverse heat placement problem.

Indecomposable objects in Khovanov–Sazdanovic's generalizations of Deligne's interpolation categories (2023)
Journal Article

Khovanov and Sazdanovic recently introduced symmetric monoidal categories parameterized by rational functions and given by quotients of categories of two-dimensional cobordisms. These categories generalize Deligne's interpolation categories of repres... Read More about Indecomposable objects in Khovanov–Sazdanovic's generalizations of Deligne's interpolation categories.

Contribution of White Matter Fiber Bundle Damage to Language Change After Surgery for Temporal Lobe Epilepsy (2023)
Journal Article

Background and ObjectivesIn medically refractory temporal lobe epilepsy (TLE), 30%-50% of patients experience substantial language decline after resection in the language-dominant hemisphere. In this study, we investigated the contribution of white m... Read More about Contribution of White Matter Fiber Bundle Damage to Language Change After Surgery for Temporal Lobe Epilepsy.

Blow up in a periodic semilinear heat equation (2023)
Journal Article

Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel res... Read More about Blow up in a periodic semilinear heat equation.

Long-distance hormone transport via the phloem (2023)
Journal Article

Several key plant hormones are synthesised in the shoot and are advected within the phloem to the root tip. In the root tip, these hormones regulate growth and developmental processes, and responses to environmental cues. However, we lack understandi... Read More about Long-distance hormone transport via the phloem.

Modelling the influence of mechanical-ecohydrological feedback on the nonlinear dynamics of peatlands (2023)
Journal Article

Peatlands are complex systems that exhibit nonlinear dynamics due to internal and external feedback mechanisms. However, the feedback of vegetation on peat volume changes that potentially affect peatland dynamics is not well understood. Here, we anal... Read More about Modelling the influence of mechanical-ecohydrological feedback on the nonlinear dynamics of peatlands.

Higher-spin self-dual Yang-Mills and gravity from the twistor space (2023)
Journal Article

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which... Read More about Higher-spin self-dual Yang-Mills and gravity from the twistor space.

Hippocampal resection in temporal lobe epilepsy: Do we need to resect the tail? (2023)
Journal Article

Introduction: Anteromesial temporal lobe resection is the most common surgical technique used to treat drug-resistant mesial temporal lobe epilepsy, particularly when secondary to hippocampal sclerosis. Structural and functional imaging data suggest... Read More about Hippocampal resection in temporal lobe epilepsy: Do we need to resect the tail?.

A categorification of cyclotomic rings (2023)
Journal Article

For any natural number n≥2, we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers On​. This construction provides an affirmative resolution to a problem raised by Khovanov in 2005.

Nonlinear dynamics of unstably stratified two-layer shear flow in a horizontal channel (2023)
Journal Article

The Rayleigh-Taylor instability at the interface of two sheared fluid layers in a horizontal channel is investigated in the absence of inertia. The dynamics of the flow is described by a nonlinear lubrication equation which is solved numerically for... Read More about Nonlinear dynamics of unstably stratified two-layer shear flow in a horizontal channel.

The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics (2023)
Journal Article

In this paper, we consider the classical Riemann problem for a generalized Burgers equation, u t + h α ( x ) u u x = u x x , $$\begin{equation*} u_t + h_{\alpha }(x) u u_x = u_{xx}, \end{equation*}$$ with a spatially dependent, nonlinear sound speed,... Read More about The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics.