Outputs (11)

Non-local effects on travelling waves arising in a moving-boundary reaction-diffusion model (2022)
Journal Article

We examine travelling wave solutions of the partial differential equation u_t = u_xx + u(1 − u * φ) on a moving domain x ≤ L(t), where u * φ is the spatial convolution of the population density with a kernel φ(y). We provide asymptotic approximations... Read More about Non-local effects on travelling waves arising in a moving-boundary reaction-diffusion model.

Exact smooth and sharp-fronted travelling waves of reaction–diffusion equations with Weak Allee effects (2022)
Journal Article

We provide new exact forms of smooth and sharp-fronted travelling wave solutions of the reaction–diffusion equation, ∂tu=R(u)+∂xD(u)∂xu, where the reaction term, R(u), employs a Weak Allee effect. The resulting ordinary differential equation system i... Read More about Exact smooth and sharp-fronted travelling waves of reaction–diffusion equations with Weak Allee effects.

Travelling-Wave and Asymptotic Analysis of a Multiphase Moving Boundary Model for Engineered Tissue Growth (2022)
Journal Article

We derive a multiphase, moving boundary model to represent the development of tissue in vitro in a porous tissue engineering scaffold. We consider a cell, extra-cellular liquid and a rigid scaffold phase, and adopt Darcy’s law to relate the velocity... Read More about Travelling-Wave and Asymptotic Analysis of a Multiphase Moving Boundary Model for Engineered Tissue Growth.

Inhaled budesonide in the treatment of early COVID-19 (STOIC): a phase 2, open-label, randomised controlled trial (2021)
Journal Article

Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19 (2021)
Journal Article

While the pathological mechanisms in COVID-19 illness are still poorly understood, it is increasingly clear that high levels of pro-inflammatory mediators play a major role in clinical deterioration in patients with severe disease. Current evidence p... Read More about Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19.

Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model (2021)
Journal Article

Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics (2020)
Journal Article

We present a solid theoretical foundation for interpreting the origin of Allee effects by providing the missing link in understanding how local individual-based mechanisms translate to global population dynamics. Allee effects were originally propose... Read More about Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics.

Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics (2020)
Working Paper

We present a solid theoretical foundation for interpreting the origin of Allee effects by providing the missing link in understanding how local individual-based mechanisms translate to global population dynamics. Allee effects were originally propose... Read More about Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics.

A Homogenization Approach for the Roasting of an Array of Coffee Beans (2019)
Journal Article

While the processes underlying the roasting of a single coffee bean have been the focus of a number of recent studies, the more industrially relevant problem of roasting an array of coffee beans has not been well studied from a modeling standpoint. S... Read More about A Homogenization Approach for the Roasting of an Array of Coffee Beans.

Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays (2018)
Journal Article

We examine the role of the travel time of a predator along a spatial network on predator-prey population interactions, where the predator is able to partially or fully sustain itself on a resource subsidy. The impact of access to food resources on th... Read More about Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays.