Mathematical neuroscience: from neurons to networks

QR Code

Mathematical neuroscience: from neurons to networks

The tools of dynamical systems theory are having an increasing impact on our understanding of patterns of neural activity. In this talk I will describe how to build tractable tissue level models that maintain a strong link with biophysical reality. These models typically take the form of nonlinear i...

Full description

Bibliographic Details
Main Author:	Coombes, Stephen
Other Authors:	Dogbe, Christian
Format:	Book Section
Published:	Fédération Normandie Mathématiques 2015
Subjects:	Neural field models Turing instability Interface dynamics
Online Access:	https://eprints.nottingham.ac.uk/32112/

Similar Items

Interface dynamics in planar neural field models
by: Coombes, Stephen, et al.
Published: (2012)

Neural field models with threshold noise
by: Thul, Ruediger, et al.
Published: (2016)

The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions
by: Gökçe, Aytül, et al.
Published: (2017)

Mathematical frameworks for oscillatory network dynamics in neuroscience
by: Ashwin, Peter, et al.
Published: (2016)

The interfacial dynamics of Amari type neural field models on finite domains
by: Gokce, Aytul
Published: (2017)

Exotic dynamics in a firing rate model of neural tissue with threshold accommodation
by: Coombes, Stephen, et al.
Published: (2007)

Travelling waves in a neural field model with refractoriness
by: Meijer, Hil G.E., et al.
Published: (2014)

Neural fields with sigmoidal firing rates: approximate solutions
by: Coombes, Stephen, et al.
Published: (2010)

Relationships between neuronal oscillatory amplitude and dynamic functional connectivity
by: Tewarie, Prejaas K., et al.
Published: (2018)

Waves, bumps, and patterns in neural field theories
by: Coombes, Stephen
Published: (2005)

TWO-PHASE FLUID INTERFACIAL INSTABILITIES INDUCED BY AXISYMMETRIC ROTATION UNDER THE INFLUENCE OF AN EXTERNALLY APPLIED MAGNETIC FIELD MAGNETIC FIELD
by: Clement, Bobby
Published: (2023)

Magnetically-induced rotating Rayleigh-Taylor instability
by: Scase, Matthew M., et al.
Published: (2016)

Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities
by: Owen, Markus R., et al.
Published: (2007)

Modeling electrocortical activity through improved local approximations of integral neural field equations
by: Coombes, Stephen, et al.
Published: (2007)

Brain Dynamics From Mathematical Perspectives: A Study of Neural Patterning
by: Modhara, Sunil
Published: (2022)

Existence and wandering of bumps in a spiking neural network model
by: Chow, Carson, et al.
Published: (2006)

Travelling waves in models of neural tissue: from localised structures to periodic waves
by: Meijer, Hil, et al.
Published: (2014)

Modelling of large-scale brain network dynamics
by: Forrester, Michael J.
Published: (2021)

An analysis of waves underlying grid cell firing in the medial enthorinal cortex
by: Bonilla-Quintana, Mayte, et al.
Published: (2017)

The numerical solution of neural field models posed on realistic cortical domains
by: Petros, Sammy J.
Published: (2023)

First passage times in integrate-and-fire neurons with stochastic thresholds
by: Braun, Wilhelm, et al.
Published: (2015)

Neuronal networks with gap junctions: A study of piece-wise linear planar neuron models
by: Coombes, Stephen
Published: (2008)

Fundamental Theories for Bulk-Surface Interactions: Evolving Interfaces, Phase-Field Adhesion and Mixed-Dimensional Flows
by: Boschman, Anne M.
Published: (2023)

Hopfield neural network for modeling of soft tissue deformation
by: Zhong, Yongmin, et al.
Published: (2010)

Neuronal spike-train responses in the presence of threshold noise
by: Coombes, Stephen, et al.
Published: (2012)

Real world neural networks for interactive music composition in real time
by: Bickerstaffe, Colin
Published: (2017)

Depolarization induced suppression of excitation and the emergence of ultra-slow rhythms in neural networks
by: Hlinka, Jaroslav, et al.
Published: (2010)

Nonsmooth dynamics in spiking neuron models
by: Coombes, Stephen, et al.
Published: (2012)

Magnetic field modelling of machine and multiple machine systems using dynamic reluctance mesh modelling
by: Yao, Li
Published: (2006)

Developing community codes for materials modeling
by: Plimpton, S., et al.
Published: (2013)

Nonlinear development of matrix-converter instabilities
by: Cox, Stephen M., et al.
Published: (2009)

Rapid solution exchange to entire neuronal cultures grown on multi electrode arrays
by: Herzog, Nitzan
Published: (2017)

The spatiotemporal dynamics of inhibition of return: evidence from computational modelling and human electrophysiology
by: Lim, Alfred C. K.
Published: (2019)

The rise of Taylor bubbles in vertical pipes
by: Ambrose, Stephen
Published: (2015)

Theoretical neuroscience: from long wavelength cortical patterning to spatial navigation
by: Bonilla Quintana, Mayte
Published: (2017)

Piecewise Linear Dynamical Systems: From Nodes to Networks
by: Şaylı, Mustafa
Published: (2021)

Mathematical modelling of wireless chip to chip communication within enclosures
by: Madenoor Ramapriya, Deepthee
Published: (2020)

Critical relaxation and the combined effects of spatial and temporal boundaries
by: Marcuzzi, Matteo, et al.
Published: (2014)

An empirical study towards efficient learning in artificial neural networks by neuronal diversity
by: Adamu, Abdullahi Shuaibu
Published: (2016)

The microeconomic impact of political instability: firm-level evidence from Tunisia
by: Matta, Samer, et al.
Published: (2018)