Journal articles

State and Parameter Estimation for a Neural Model of Local Field Potentials

A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters

Astrocytic resource diffusion stabilizes persistent activity in neural fields

An astro-neural-field model with application to cortical spreading depolarization

Neural field equations with random data

Neural Fields and Noise-Induced Patterns in Neurons on Large Disordered Networks

Radial Basis Function Techniques for Neural Field Models on Surfaces

GABAergic neurons can facilitate the propagation of cortical spreading depolarization: experiments in mouse neocortical slices and a novel neural field computational model

Robust working memory in a two-dimensional continuous attractor network

The neural and computational architecture of feedback dynamics in mouse cortex during stimulus report

Well-posedness and regularity of solutions to neural field problems with dendritic processing

Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport

Projection methods for Neural Field equations

Bump attractors and waves in networks of leaky integrate-and-fire neurons

Cross-scale excitability in networks of quadratic integrate-and-fire neurons

Bursting in a next generation neural mass model with synaptic dynamics: a slow-fast approach

Modelling the emergence of cities and urban patterning using coupled integro-differential equations

A dynamic neural field model of continuous input integration

Canonical models for torus canards in elliptic bursters

Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations

Quasicrystal patterns in a neural field model

Bumps and Oscillons in Networks of Spiking Neurons

Brain-wave equation incorporating axodendritic connectivity

Numerical investigation of a neural field model including dendritic processing

Local theory for spatio-temporal canards and delayed bifurcations

Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells

Next-generation neural field model: The evolution of synchrony within patterns and waves

Network mechanisms underlying the role of oscillations in cognitive tasks

Modal nudging in nonlinear elasticity: Tailoring the elastic post-buckling behaviour of engineering structures

Capturing the dynamics of a hybrid multiscale cancer model with a continuum model

Exploring the design space of nonlinear shallow arches with generalised path-following

Generalised path-following for well-behaved nonlinear structures

Spot dynamics in a reaction-diffusion model of plant root hair initiation

The dynamics of neural fields on bounded domains: an interface approach for dirichlet boundary conditions

Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system

Synchrony-induced modes of oscillation of a neural field model

Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis

Spatiotemporal canards in neural field equations

Beyond in-phase and anti-phase coordination in a model of joint action

Localized auxin peaks in concentration-based transport models of the shoot apical meristem

Calcium-induced calcium release during action potential firing in developing inner hair cells

Snakes and ladders in an inhomogeneous neural field model

Stripe to spot transition in a plant root hair initiation model

Continuation of localized coherent structures in nonlocal neural field equations

Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in.

Participatory development and analysis of a fuzzy cognitive map of the establishment of a bio-based economy in the Humber region

On the numerical continuation of isolas of equilibria

Equation-free analysis of two-component system signalling model reveals the emergence of co-existing phenotypes in the absence of multistationarity

On the thermally induced bistability of composite cylindrical shells for morphing structures

Numerical continuation of high Reynolds number external flows

Numerical bifurcation study of superconducting patterns on a square

Numerical continuation of bistable composite cylindrical shells

The mechanics of hearing: a comparative case study in bio-mathematical modelling

Bistable Plates for Morphing Structures: A Refined Analytical Approach with High-Order Polynomials

Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity

Mathematical modelling of the active hearing process in mosquitoes

To snake or not to snake in the planar Swift–Hohenberg equation

Localized hexagon patterns of the planar Swift-Hohenberg equation

Micrometer size polarization independent depletion-type photonic modulator in Silicon On Insulator