Rapid switching of in-phase and anti-phase interhemispheric rhythms within a single theta cycle: a mechanistic explanation
A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
Computation, modelling, and statistical analysis of physiological and clinical brain signals for real-time classification and prediction
GABAergic neurons can facilitate the propagation of cortical spreading depolarization: experiments in mouse neocortical slices and a novel neural field computational model
The neural and computational architecture of feedback dynamics in mouse cortex during stimulus report
Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport
Pattern formation in spatially-extended systems: theory and computations. Lectures for the XI Summer Mathematics Workshop.
Computing coherent structures in spiking neural networks using interfacial dynamics. University of Oxford.
Modal nudging in nonlinear elasticity: Tailoring the elastic post-buckling behaviour of engineering structures
Mathematical Neuroscience. Minisymposium at the European Conference on Mathematical and Theoretical Biology.
From interface dynamics to coarse-grained computations in spatially-extended neural networks. Seminar, Department of Mathematics.
“Localised turbulence” in a networks of spatially-extended integrate-and-fire neurons. Perspectives in Nonlinear Sciences.
Transitions from Localised Multiple-spike Waves to Bumps in Spatially-extended Networks of Integrate-and-Fire Neurons. Minisymposium talk at the SIAM Conference on Nonlinear Waves and Coherent Structures.
Do networks of integrate-and-fire neurons support localised spatiotemporal chaos? SDG Workshop on Dynamical systems - theory and applications.
Do networks of integrate-and-fire neurons support localised spatiotemporal chaos? Seminar at the School of Mathematical Sciences and Statistics.
From interface dynamics to coarse-grained computations in spatially-extended neural networks. Seminar at the Department of Mathematics.
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
Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis
Coherent Behaviour in Non-Smooth Neural Networks. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems.
Complex Action Potential Firing in Developing Inner Hair Cells. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems.
Spatially Localized Patterns in Networks of Spiking Neurons. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems.
Next Generation Neural Field Modelling. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems.
Multiple timescale dynamics with applications to neuroscience. Two-part minisymposium at the SIAM Conference on Applications of Dynamical Systems.
Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Seminar at the Autonomous Technological Institute of Mexico (ITAM).
Numerical computation of coherent structures in spatially-extended systems. Seminar at the Autonomous Technological Institute of Mexico (ITAM).
Spatio-temporal canards in neural field models. Seminar at the National Autonomous University of Mexico (UNAM).
Analysing coherent structures via interfacial dynamics: from spatio-temporal canards to coarsegrained computations. Seminar at the Centre de Recerca Matemàtica.
Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Seminar at the University of Newcastle.
Analysing coherent structures via interfacial dynamics: from spatio-temporal canards to coarsegrained computations. Seminar at the University of Liverpool.
Canards in neural field equations. Minisymposium talk at the SIAM Conference on Applications of Dynamical Systems.
Canards in neural field equations. Talk at the 3rd International Conference on Mathematical Neuroscience.
Numerical methods for computing patterns in infinite-dimensional, spatially-extended dynamical systems. Lectures at the Universidad Nacional Autonóma de México (Campus Morelia) and Instituto Tecnológico Autónomo de México (Mexico City).
Lecture for the Winter School on Deterministic and Stochastic Models in Neuroscience, Institut de Mathématiques de Toulouse, France.
Localised travelling waves in a network of integrate-and-fire neurons. Co-authored contributed talk at the LMS School on Patterns and Spatially Localised Structures.
Coarse grained analysis of patterned activity in a minimal neural network. Poster at the Workshop Generalized Network Structures and Dynamics.
Analysis of Two Phase Model of AvascularTumour Growth. Co-authored talk at the Complex Systems with Interfaces (COSI) workshop.
Localised travelling waves in spiking neural networks. Co-authored contributed talk at the Conference on Structural Nonlinear Dynamics and Diagnosis.
Advances in Mathematical Neuroscience. Minisymposium at the European Conference on Mathematical and Theoretical Biology.
Localised structures in neural networks: from interface methods to multi-scale computations. Seminar.
Coarse-grained bifurcation analysis of coherent structures in spatially-extended neural networks. Seminar.
Coherent structures in neural networks: from interface methods to multi-scale computations. Talks at the International Conference for Mathematical Neuroscience.
Multiple Scales in spatially-extended neural networks. Minisymposium talk at the European Conference on Mathematical and Theoretical Biology.
Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Minisymposium talk at the Bernstein Conference.
Numerical computation of coherent structures in spatially-extended systems. Lectures at the LMS Invited Lecturer 2016 School on "Dynamics, Patterns and Spatially Localised Structures"
Numerical bifurcation analysis for spatially-extended neural networks. Tutorial for the International Conference for Mathematical Neuroscience.
An interface approach to planar neural fields: from spots to spirals. Poster at the Integrated Systems Neuroscience Workshop.
Spiral waves : interface analysis in a neural field. Poster at the First International Conference on Mathematical Neuroscience.
Interface Dynamics in Neural Fields. Co-authored talk at the Complex Systems with Interfaces (COSI) workshop.
Travelling Wave and Bump Dynamics in a Spiking Neuronal Network. Poster at the Integrated Systems Neuroscience Workshop.
Travelling Wave and Bump Dynamics in a Spiking Neuronal Network. Poster at the First International Conference on Mathematical Neuroscience.
Snakes and ladders in a non-smooth heterogeneous neural-field model. Poster at the First International Conference on Mathematical Neuroscience.
Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in.
Numerical Continuation of Grain Boundaries in the planar Swift-Hohenberg Equation. Co-authored minisymposium talk at the British Applied Mathematics Colloquium.
Unsteady travelling wave solutions of a system of reaction-diffusion equations. Co-authored minisymposium talk at the British Applied Mathematics Colloquium.
Analysis and numerical simulations of a two-phase model of avascular tumour growth. Co-authored minisymposium talk at the British Applied Mathematics Colloquium.
The formation of stationary localised solutions in 1D and 2D integral neural field models. Minisymposium talk at the British Applied Mathematics Colloquium.
Participatory development and analysis of a fuzzy cognitive map of the establishment of a bio-based economy in the Humber region
Localised States and Pattern Formation in a Neural Field Model of the Primary Visual Cortex. Poster at the SIAM conference on Applications of Dynamical Systems.
Multi-scale numerical methods. Minisymposium at the Workshop on Slow-fast dynamics: theory, numerics, application to life and earth sciences
Lifting Using Weights: Coarse-grained Bifurcation Analysis in Agent Based Models. SIAM Conference on Applications of Dynamical Systems.
Equation-free analysis of two-component system signalling model reveals the emergence of co-existing phenotypes in the absence of multistationarity
Coarse-grained bifurcation analysis for agent-based models. Multiscale Modelling in Medicine and Biology.
Weighted lifting in coarse-grained bifurcation analysis of agent-based models. XXXII Dynamic Days Europe.
Stochastic transitions and bifurcation analysis. Minisymposium at the SIAM Conference on Applications of Dynamical Systems
Continuation of oscillons in an autonomous system of reaction–diffusion equations. Invited talk at the SIAM Conference on Applications of Dynamical Systems.
Numerical continuation of coherent structures in reaction–diffusion systems. Short course "Numerical Continuation with AUTO"
Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity
The neural basis of active hearing in the mosquito Aedes aegypti. Poster at the International Congress of Neuroethology.
Symmetries and Numerical Bifurcation Analysis of Large-scale PDEs. Minisymposium at the SIAM Conference on Emerging Topics in Dynamical Systems and PDEs,
Recent Advances on Isolas and Invariant Manifolds: Numerics and Applications. Minisymposium at the SIAM Conference on Emerging Topics in Dynamical Systems and PDEs.
Snaking and non-snaking planar patterns. Entry for the DSWeb Media Gallery, Patterns and Simulations.
Dynamics of hearing processes. Minisymposium at the SIAM Conference on Applications of Dynamical Systems.
To snake or not to snake in the planar Swift-Hohenberg equation. SIAM Conference on Applications of Dynamical Systems.
Numerical continuation of fully two-dimensional localised patterns. SIAM Conference on Nonlinear Waves and Coherent Structures.
Numerical continuation of defects in reaction-diffusion systems. Contributed talk at the British Applied Mathematics Colloquium.
Continuing two-dimensional coherent structures. Poster at the SIAM Conference on Applications of Dynamical Systems.
Computation of defects for reaction-diffusion systems: preliminary results. Poster at the SIAM Conference on Nonlinear Waves and Coherent Structures.