Browse by Authors and Editors
Number of items: 49.
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
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
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
Owen, Markus 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). (Submitted)
Coombes, Stephen and Owen, Markus (2005) Bumps, breathers, and waves in a neural network with spike frequency adaptation.
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
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
Chik, D T W and Coombes, Stephen and Wang, Z D (2004) Clustering through post inhibitory rebound in synaptically coupled neurons.
Coombes, Stephen and Laing, Carlo (2008) Delays in activity based neural networks. Philosophical Transactions of the Royal Society A . ISSN 1364-503X (In Press)
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)
Timofeeva, Yulia and Lord, Gabriel and Coombes, Stephen (2005) Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework.
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)
Timofeeva, Yulia and Coombes, Stephen (2004) Directed percolation in a two dimensional stochastic fire-diffuse-fire model.
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 Owen, Markus (2004) Evans functions for integral neural field equations with Heaviside firing rate function.
Chow, Carson and Coombes, Stephen (2006) Existence and wandering of bumps in a spiking neural network model.
Coombes, Stephen and Owen, Markus (2007) Exotic dynamics in a firing rate model of neural tissue with threshold accommodation.
Coombes, Stephen and Zachariou, Margarita Gap junctions and emergent rhythms. In: Coherent Behavior in Neuronal Networks. Springer. (Submitted)
Laing, Carlo and Coombes, Stephen Instabilities in threshold-diffusion equations with delay. Physica D . ISSN 0167-2789 (In Press)
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)
Coombes, Stephen (2009) Large-scale neural dynamics: simple and complex. NeuroImage . ISSN 1053-8119 (In Press)
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
Coombes, 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
Laing, Carlo and Coombes, Stephen (2004) Mode locking in a periodically forced "ghostbursting" neuron model.
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)
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)
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
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)
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)
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 Thul, Ruediger and Wedgwood, Kyle C.A. (2012) Nonsmooth dynamics in spiking neuron models. Physica D, 241 (22). pp. 2042-2057. ISSN 0167-2789
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
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 Laing, Carlo (2011) Pulsating fronts in periodically modulated neural field models. Physical Review E . ISSN 1539-3755 (In Press)
Coombes, Stephen and Hinch, Robert and Timofeeva, Yulia (2004) Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release.
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
Zachariou, Margarita and Dissanayake, Dilshani W N and Coombes, Stephen and Owen, Markus R and Mason, Robert Sensory gating and its modulation by cannabinoids: electrophysiological, computational and mathematical analysis. Cognitive Neurodynamics . ISSN 1871-4080 (In Press)
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)
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 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
Zachariou, Margarita and Dissanayake, Dilshani and Owen, Markus and Mason, Rob and Coombes, Stephen (2006) The Role of Cannabinoids in the Neurobiology of Sensory Gating: A firing rate model study.
Laing, Carlo and Coombes, Stephen (2005) The importance of different timings of excitatory and inhibitory pathways in neural field models.
Coombes, Stephen and Doiron, Brent and Josic, Kresimir and Shea-Brown, Eric (2006) Toward blueprints for network architecture, biophysical dynamics, and signal transduction.
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 0303-6812
Thul, Ruediger and Coombes, Stephen (2010) Understanding cardiac alternans: a piecewise linear modeling framework. Chaos, 20 . 045102. ISSN 1054-1500
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
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 (2005) Waves, bumps, and patterns in neural field theories.