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Jump to: Article | Book Section Number of items: 59. ArticleNicks, Rachel and Chambon, Lucie and Coombes, Stephen (2018) Clusters in nonsmooth oscillator networks. Physical Review E . (In Press) Coombes, Stephen and Lai, Yi Ming and Sayli, Mustafa and Thul, Ruediger (2018) Networks of piecewise linear neural mass models. European Journal of Applied Mathematics . ISSN 1469-4425 Gökçe, Aytül and Avitabile, Daniele and Coombes, Stephen (2017) The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Journal of Mathematical Neuroscience, 7 . p. 12. ISSN 2190-8567 Byrne, Áine and Brookes, Matthew J. and Coombes, Stephen (2017) A mean field model for movement induced changes in the beta rhythm. Journal of Computational Neuroscience, 43 (2). pp. 143-158. ISSN 1573-6873 Bonilla-Quintana, Mayte and Wedgwood, Kyle C.A. and O'Dea, Reuben D. and Coombes, Stephen (2017) An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Journal of Mathematical Neuroscience, 7 (9). pp. 1-30. ISSN 2190-8567 Visser, Sid and Nicks, Rachel and Faugeras, Olivier and Coombes, Stephen (2017) Standing and travelling waves in a spherical brain model: the Nunez model revisited. Physica D: Nonlinear Phenomena, 349 . pp. 27-45. ISSN 0167-2789 Wojtak, Weronika and Coombes, Stephen and Bicho, Estela and Erlhagen, Wolfram (2016) Combining spatial and parametric working memory in a dynamic neural field model. Lecture Notes in Computer Science, 9886 . pp. 411-418. ISSN 0302-9743 Coombes, Stephen and Thul, Ruediger (2016) Synchrony in networks of coupled non-smooth dynamical systems: extending the master stability function. European Journal of Applied Mathematics . pp. 1-19. ISSN 1469-4425 Thul, Ruediger and Coombes, Stephen and Laing, Carlo R. (2016) Neural field models with threshold noise. Journal of Mathematical Neuroscience, 6 . 3/1-3/26. ISSN 2190-8567 Ashwin, Peter and Coombes, Stephen and Nicks, Rachel (2016) Mathematical frameworks for oscillatory network dynamics in neuroscience. Journal of Mathematical Neuroscience, 6 . 2/1-2/92. ISSN 2190-8567 Thul, Ruediger and Rietdorf, K. and Bootman, Martin D. and Coombes, Stephen (2015) Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes. BBA Molecular Cell Research, 1853 (9). pp. 2131-2143. ISSN 0167-4889 Meijer, Hil G.E. and Coombes, Stephen (2014) Travelling waves in a neural field model with refractoriness. Journal of Mathematical Biology, 68 (5). pp. 1249-1268. ISSN 1432-1416 Meijer, Hil and Coombes, Stephen (2014) Travelling waves in models of neural tissue: from localised structures to periodic waves. EPJ Nonlinear Biomedical Physics, 2 (3). pp. 1-18. ISSN 2195-0008 Zachariou, Margarita and Alexander, Stephen P.H. and Coombes, Stephen and Christodoulou, Chris (2013) A biophysical model of endocannabinoid-mediated short term depression in hippocampal inhibition. PLoS ONE, 8 (3). e58296/1-e58296/23. ISSN 1932-6203 Lin, Kevin K. and Wedgwood, Kyle C.A. and Coombes, Stephen and Young, Lai-Sang (2013) Limitations of perturbative techniques in the analysis of rhythms and oscillations. Journal of Mathematical Biology, 66 (1-2). pp. 139-161. ISSN 0303-6812 Wedgwood, Kyle C.A. and Lin, Kevin K. and Thul, Ruediger and Coombes, Stephen (2013) Phase-amplitude descriptions of neural oscillator models. Journal of Mathematical Neuroscience, 3 (2). ISSN 2190-8567 Coombes, Stephen and Thul, Ruediger and Wedgwood, Kyle C.A. (2012) Nonsmooth dynamics in spiking neuron models. Physica D, 241 (22). pp. 2042-2057. ISSN 0167-2789 Hlinka, Jaroslav and Coombes, Stephen (2012) Using computational models to relate structural and functional brain connectivity. European Journal of Neuroscience, 36 (2). pp. 2137-2145. ISSN 0953-816X Svensson, Carl-Magnus and Coombes, Stephen and Peirce, Jonathan (2012) Using evolutionary algorithms for fitting high-dimensional models to neuronal data. Neuroinformatics, 10 (2). pp. 199-218. ISSN 1539-2791 Coombes, Stephen and Thul, Ruediger and Laudanski, Jonathan and Palmer, Alan and Sumner, Chris (2012) Neuronal spike-train responses in the presence of threshold noise. Frontiers in Life Science, 5 (3-4). pp. 91-105. ISSN 2155-3769 Coombes, Stephen and Schmidt, Helmut and Bojak, Ingo (2012) Interface dynamics in planar neural field models. Journal of Mathematical Neuroscience . ISSN 2190-8567 (In Press) Thul, Ruediger and Coombes, Stephen and Bootman, Martin D. (2012) Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves. Frontiers in Physiology, 3 . p. 279. ISSN 1664-042X Thul, Ruediger and Coombes, Stephen and Roderick, H. Llewelyn and Bootman, Martin D. (2012) Subcellular calcium dynamics in a whole-cell model of an atrial myocyte. Proceedings of the National Academy of Sciences, 109 (6). pp. 2150-2155. ISSN 1091-6490 Coombes, Stephen and Laing, Carlo (2011) Pulsating fronts in periodically modulated neural field models. Physical Review E . ISSN 1539-3755 (In Press) Laudanski, Jonathan and Sumner, Chris and Coombes, Stephen (2010) Calcium window currents, periodic forcing and chaos: understanding single neuron response with a discontinuous one-dimensional map. Physical Review E, 82 (1). e011924. ISSN 1539-3755 Hlinka, Jaroslav and Coombes, Stephen (2010) Depolarization induced suppression of excitation and the emergence of ultra-slow rhythms in neural networks. Physical Review Letters . ISSN 0031-9007 (In Press) Coombes, Stephen and Schmidt, Helmut (2010) Neural fields with sigmoidal firing rates: approximate solutions. Discrete and Continuous Dynamical Systems. Series S . ISSN 1937-1632 (Submitted) Thul, Ruediger and Coombes, Stephen (2010) Understanding cardiac alternans: a piecewise linear modeling framework. Chaos, 20 . 045102. ISSN 1054-1500 Coombes, Stephen (2009) Large-scale neural dynamics: simple and complex. NeuroImage . ISSN 1053-8119 (In Press) Svensson, Carl-Magnus and Coombes, Stephen (2009) Mode locking in a spatially extended neuron model: active soma and compartmental tree. International Journal of Bifurcation and Chaos . ISSN 0218-1274 (In Press) Thul, Ruediger and Coombes, Stephen and Smith, G.D. (2009) Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics. Physica D, 238 . pp. 2142-2152. ISSN 0167-2789 Coombes, Stephen (2008) Neuronal networks with gap junctions: A study of piece-wise linear planar neuron models. SIAM Journal on Applied Dynamical Systems . (In Press) Zachariou, Margarita and Dissanayake, Dilshani W N and Coombes, Stephen and Owen, Markus R. and Mason, Robert (2008) Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis. Cognitive Neurodynamics, 2 . pp. 159-170. ISSN 1871-4099 Thul, Ruediger and Smith, G.D. and Coombes, Stephen (2008) A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology, 56 (4). pp. 435-463. ISSN 1432-1416 Coombes, Stephen and Laing, Carlo (2008) Delays in activity based neural networks. Philosophical Transactions of the Royal Society A . ISSN 1364-503X (In Press) Owen, Markus R. and Laing, Carlo and Coombes, Stephen (2007) Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities. New Journal of Physics, 9 (378). ISSN 1367-2630 Coombes, Stephen and Venkov, Nikola and Shiau, LieJune and Bojak, Ingo and Liley, David and Laing, Carlo (2007) Modeling electrocortical activity through improved local approximations of integral neural field equations. Physical Review E, 76 . 051901-051908. (Submitted) Venkov, Nikola Atanasov and Coombes, Stephen and Matthews, Paul C (2007) Dynamic instabilities in scalar neural field equations with space-dependent delays. Coombes, Stephen and Timofeeva, Yulia and Svennson, Carl-Magnus and Lord, Gabriel and Josic, Kresimir and Cox, Steven J. and Colbert, Costa (2007) Branching dendrites with resonant membrane: a "sum-over-trips" approach. Biological Cybernetics, 97 (2). pp. 137-149. ISSN 0340-1200 Coombes, Stephen and Owen, Markus R. (2007) Exotic dynamics in a firing rate model of neural tissue with threshold accommodation. Zachariou, Margarita and Dissanayake, Dilshani and Owen, Markus R. and Mason, Rob and Coombes, Stephen (2006) The role of cannabinoids in the neurobiology of sensory gating: a firing rate model study. Neurocomputing, 70 (10/12). pp. 1902-1906. ISSN 0925-2312 Coombes, Stephen and Doiron, Brent and Josic, Kresimir and Shea-Brown, Eric (2006) Toward blueprints for network architecture, biophysical dynamics, and signal transduction. Chow, Carson and Coombes, Stephen (2006) Existence and wandering of bumps in a spiking neural network model. Timofeeva, Yulia and Lord, Gabriel and Coombes, Stephen (2006) Spatio-temporal filtering properties of a dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework. (Unpublished) Laing, Carlo and Coombes, Stephen (2005) The importance of different timings of excitatory and inhibitory pathways in neural field models. Timofeeva, Yulia and Lord, Gabriel and Coombes, Stephen (2005) Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework. Coombes, Stephen and Owen, Markus R. (2005) Bumps, breathers, and waves in a neural network with spike frequency adaptation. Physical Review Letters, 94 (14). pp. 148102-1. ISSN 1079-7114 Coombes, Stephen (2005) Waves, bumps, and patterns in neural field theories. Timofeeva, Yulia and Coombes, Stephen (2004) Directed percolation in a two dimensional stochastic fire-diffuse-fire model. Coombes, Stephen and Owen, Markus R. (2004) Evans functions for integral neural field equations with Heaviside firing rate function. SIAM Journal on Applied Dynamical Systems, 3 (4). pp. 574-600. ISSN 1536-0040 Chik, D T W and Coombes, Stephen and Wang, Z D (2004) Clustering through post inhibitory rebound in synaptically coupled neurons. Laing, Carlo and Coombes, Stephen (2004) Mode locking in a periodically forced "ghostbursting" neuron model. Coombes, Stephen and Hinch, Robert and Timofeeva, Yulia (2004) Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release. Timofeeva, Yulia and Cox, Steven J. and Coombes, Stephen and Josic, Kresimir Democratization in a passive dendritic tree: an analytical investigation. Journal of Computational Neuroscience . ISSN 0929-5313 (In Press) Laing, Carlo and Coombes, Stephen Instabilities in threshold-diffusion equations with delay. Physica D . ISSN 0167-2789 (In Press) Book SectionCoombes, Stephen (2015) Mathematical neuroscience: from neurons to networks. In: Actes du colloque "EDP-Normandie" : Le Havre 2015. Fédération Normandie Mathématiques, Caen, pp. 153-160. ISBN 9782954122137 Coombes, Stephen and Schmidt, Helmut and Avitabile, Daniele (2014) Spots: breathing, drifting and scattering in a neural field model. In: Neural fields: theory and applications. Springer, Berlin, pp. 187-211. ISBN 9783642545931 Thul, Ruediger and Bellamy, Tom and Roderick, Llewelyn and Bootman, Martin and Coombes, Stephen (2007) Calcium oscillations. In: Cellular Oscillatory Mechanisms. Advances in experimental medicine and biology (641). Springer, New York, pp. 1-27. ISBN 9780387097930 Coombes, Stephen and Zachariou, Margarita Gap junctions and emergent rhythms. In: Coherent Behavior in Neuronal Networks. Springer. (Submitted) |