Phase-amplitude descriptions of neural oscillator models
Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such models in response to weak perturbations is now particularly well advanced, and has allowed for the development of a...
| Main Authors: | Wedgwood, Kyle C.A., Lin, Kevin K., Thul, Ruediger, Coombes, Stephen |
|---|---|
| Format: | Article |
| Published: |
Springer
2013
|
| Online Access: | https://eprints.nottingham.ac.uk/1896/ |
Similar Items
Nonsmooth dynamics in spiking neuron models
by: Coombes, Stephen, et al.
Published: (2012)
by: Coombes, Stephen, et al.
Published: (2012)
Limitations of perturbative techniques in the analysis of rhythms and oscillations
by: Lin, Kevin K., et al.
Published: (2013)
by: Lin, Kevin K., et al.
Published: (2013)
Calcium oscillations
by: Thul, Ruediger, et al.
Published: (2007)
by: Thul, Ruediger, et al.
Published: (2007)
Oscillations in a point models of the intracellular Ca2+ concentration
by: Thul, Ruediger
Published: (2014)
by: Thul, Ruediger
Published: (2014)
Neural field models with threshold noise
by: Thul, Ruediger, et al.
Published: (2016)
by: Thul, Ruediger, et al.
Published: (2016)
Networks of piecewise linear neural mass models
by: Coombes, Stephen, et al.
Published: (2018)
by: Coombes, Stephen, et al.
Published: (2018)
Understanding cardiac alternans: a piecewise linear modeling framework
by: Thul, Ruediger, et al.
Published: (2010)
by: Thul, Ruediger, et al.
Published: (2010)
Synchrony in networks of coupled non-smooth dynamical systems: extending the master stability function
by: Coombes, Stephen, et al.
Published: (2016)
by: Coombes, Stephen, et al.
Published: (2016)
Dynamical systems techniques in the analysis of neural systems
by: Wedgwood, Kyle
Published: (2013)
by: Wedgwood, Kyle
Published: (2013)
Building oscillations bottom up: elemental time scales of intracellular calcium dynamics
by: Thul, Ruediger, et al.
Published: (2007)
by: Thul, Ruediger, et al.
Published: (2007)
A bidomain threshold model of propagating calcium waves
by: Thul, Ruediger, et al.
Published: (2008)
by: Thul, Ruediger, et al.
Published: (2008)
Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics
by: Thul, Ruediger, et al.
Published: (2009)
by: Thul, Ruediger, et al.
Published: (2009)
Three-dimensional spatio-temporal modelling of store operated Ca2+ entry: insights into ER refilling and the spatial signature of Ca2+ signals
by: McIvor, Emma, et al.
Published: (2018)
by: McIvor, Emma, et al.
Published: (2018)
A statistical view on calcium oscillations
by: Powell, Jake, et al.
Published: (2018)
by: Powell, Jake, et al.
Published: (2018)
Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes
by: Thul, Ruediger, et al.
Published: (2015)
by: Thul, Ruediger, et al.
Published: (2015)
An analysis of waves underlying grid cell firing in the medial enthorinal cortex
by: Bonilla-Quintana, Mayte, et al.
Published: (2017)
by: Bonilla-Quintana, Mayte, et al.
Published: (2017)
Effect of Oscillation Amplitude on the Residence Time Distribution for the Mesoscale Oscillatory Baffled Reactor
by: Wan Mohd Hafizuddin, Wan Yussof, et al.
Published: (2017)
by: Wan Mohd Hafizuddin, Wan Yussof, et al.
Published: (2017)
Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves
by: Thul, Ruediger, et al.
Published: (2012)
by: Thul, Ruediger, et al.
Published: (2012)
Amplitude and phase response of DAS receivers
by: Bona, A., et al.
Published: (2017)
by: Bona, A., et al.
Published: (2017)
Clusters in nonsmooth oscillator networks
by: Nicks, Rachel, et al.
Published: (2018)
by: Nicks, Rachel, et al.
Published: (2018)
Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis
by: Avitable, Daniele, et al.
Published: (2017)
by: Avitable, Daniele, et al.
Published: (2017)
Equalisation for carrierless amplitude and phase modulation
by: Gao, Jason
Published: (2002)
by: Gao, Jason
Published: (2002)
Translating intracellular calcium signaling into models
by: Thul, Ruediger
Published: (2014)
by: Thul, Ruediger
Published: (2014)
Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models
by: Gommer, Frank, et al.
Published: (2015)
by: Gommer, Frank, et al.
Published: (2015)
Subcellular calcium dynamics in a whole-cell model of an atrial myocyte
by: Thul, Ruediger, et al.
Published: (2012)
by: Thul, Ruediger, et al.
Published: (2012)
Relationships between neuronal oscillatory amplitude and dynamic functional connectivity
by: Tewarie, Prejaas K., et al.
Published: (2018)
by: Tewarie, Prejaas K., et al.
Published: (2018)
Towards a predictive model of Ca²⁺ puffs
by: Thul, Ruediger, et al.
Published: (2009)
by: Thul, Ruediger, et al.
Published: (2009)
Temporal phase and amplitude statistics in coherent radiation
by: Wright, Dean
Published: (2005)
by: Wright, Dean
Published: (2005)
Large-Amplitude Oscillations of a Finite-Thickness Cantilevered Flexible Plate in Viscous Channel Flow
by: Elliott, Novak, et al.
Published: (2010)
by: Elliott, Novak, et al.
Published: (2010)
Stochastic reconstruction of filament paths in fibre bundles based on two-dimensional input data
by: Gommer, Frank, et al.
Published: (2015)
by: Gommer, Frank, et al.
Published: (2015)
Modelling of a Cantilevered Flexible Plate Undergoing Large-Amplitude Oscillations Due to a High Reynolds-Number Axial Flow
by: Evetts, Reilly Owen George, et al.
Published: (2016)
by: Evetts, Reilly Owen George, et al.
Published: (2016)
Neuronal spike-train responses in the presence of threshold noise
by: Coombes, Stephen, et al.
Published: (2012)
by: Coombes, Stephen, et al.
Published: (2012)
Pulsating fronts in periodically modulated neural field models
by: Coombes, Stephen, et al.
Published: (2011)
by: Coombes, Stephen, et al.
Published: (2011)
Squeezing, mixed mode squeezing, amplitude squared
squeezing and principal squeezing in a non-degenerate
parametric oscillator
by: Alam, Mohosin, et al.
Published: (2018)
by: Alam, Mohosin, et al.
Published: (2018)
Synchrony-induced modes of oscillation of a neural field model
by: Esnaola-Acebes, Jose M., et al.
Published: (2017)
by: Esnaola-Acebes, Jose M., et al.
Published: (2017)
Time to blip – stochastic simulation of single channel opening
by: Thul, Ruediger
Published: (2014)
by: Thul, Ruediger
Published: (2014)
Existence and wandering of bumps in a spiking neural network model
by: Chow, Carson, et al.
Published: (2006)
by: Chow, Carson, et al.
Published: (2006)
On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling
by: Falcke, Martin, et al.
Published: (2018)
by: Falcke, Martin, et al.
Published: (2018)
Large-scale neural dynamics: simple and complex
by: Coombes, Stephen
Published: (2009)
by: Coombes, Stephen
Published: (2009)
Waves, bumps, and patterns in neural field theories
by: Coombes, Stephen
Published: (2005)
by: Coombes, Stephen
Published: (2005)
Similar Items
-
Nonsmooth dynamics in spiking neuron models
by: Coombes, Stephen, et al.
Published: (2012) -
Limitations of perturbative techniques in the analysis of rhythms and oscillations
by: Lin, Kevin K., et al.
Published: (2013) -
Calcium oscillations
by: Thul, Ruediger, et al.
Published: (2007) -
Oscillations in a point models of the intracellular Ca2+ concentration
by: Thul, Ruediger
Published: (2014) -
Neural field models with threshold noise
by: Thul, Ruediger, et al.
Published: (2016)