The Journal of Mathematical Neuroscience Short Title: J. Math. Neurosci. Publisher: Springer (SpringerOpen), Berlin/Heidelberg ISSN: 2190-8567/e Online: https://link.springer.com/journal/13408/volumes-and-issueshttps://mathematical-neuroscience.springeropen.com Comments: Journal; No longer indexed; Published electronic only as of Vol. 1 (2011). This journal is available open access. Documents Indexed: 158 Publications (2011–2021) References Indexed: 150 Publications with 6,720 References. all top 5 Latest Issues 11 (2021) 10 (2020) 9 (2019) 8 (2018) 7 (2017) 6 (2016) 5 (2015) 4 (2014) 3 (2013) 2 (2012) 1 (2011) all top 5 Authors 8 Coombes, Stephen 8 Faugeras, Olivier D. 6 Laing, Carlo R. 5 Ashwin, Peter 5 Bressloff, Paul C. 5 Longtin, André 4 Kopell, Nancy J. 4 Rubin, Jonathan E. 4 Timofeeva, Yulia 4 van Gils, Stephan A. 4 Wechselberger, Martin 3 Barreiro, Andrea K. 3 Chossat, Pascal 3 Diekman, Casey O. 3 Naud, Richard 3 Rankin, James 2 Afgoustidis, Alexandre 2 Berthouze, Luc 2 Bick, Christian 2 Bojak, Ingo 2 Borisyuk, Roman M. 2 Buckwar, Evelyn 2 Cessac, Bruno 2 Citti, Giovanna 2 Cowan, Jack D. 2 Dahlem, Markus A. 2 Ditlevsen, Susanne 2 Fasoli, Diego 2 Ferrario, Andrea 2 Golubitsky, Martin A. 2 Goodfellow, Marc 2 Hartley, Caroline 2 Huguet, Gemma 2 Hutt, Axel 2 Kevrekidis, Ioannis George 2 Kiss, István Z. 2 Krupa, Martin 2 Kuznetsov, Yuriĭ Aleksandrovich 2 Lazar, Aurel A. 2 Lindner, Benjamin 2 Ly, Cheng 2 McCarthy, Michelle M. 2 Meijer, Hil G. E. 2 Merrison-Hort, Robert 2 Neuman, Jeremy F. 2 Nielsen, Bjørn Fredrik 2 Osinga, Hinke Maria 2 Perthame, Benoît 2 Riedler, Martin Georg 2 Rosenbaum, Robert 2 Rotstein, Horacio G. 2 Sarti, Alessandro 2 Shilnikov, Andrey L. 2 Stannat, Wilhelm 2 Taylor, Timothy J. 2 Thomas, Peter J. 2 Thul, Rüdiger 2 Tsaneva-Atanasova, Krasimira T. 2 Ukani, Nikul H. 2 Van Drongelen, Wim 2 van Putten, Michel J. A. M. 2 Veltz, Romain 2 Vidal, Alexandre 2 Vo, Theodore 2 Wedgwood, Kyle C. A. 2 Wyller, John A. 2 Yu, Na 2 Zhou, Yiyin 1 Ableidinger, Markus 1 Akcay, Zeynep 1 Al-Darabsah, Isam 1 Alleysson, David 1 Alswaihli, Jehan 1 Anselmi, Fabio 1 Avitabile, Daniele 1 Baghdadi, Golnaz 1 Bailey, James M. 1 Baladron, Javier 1 Barbieri, Davide Francesco 1 Barrio, Roberto 1 Barry, Anna M. 1 Baspinar, Emre 1 Benali, Habib 1 Benjamin, Oscar 1 Benner, Peter 1 Bernard, Christophe P. 1 Berry, Hugues 1 Berthier, Michel 1 Bertram, Richard 1 Blom, Joke G. 1 Bogacz, Rafal 1 Bonilla-Quintana, Mayte 1 Börgers, Christoph 1 Boscain, Ugo 1 Bose, Amitabha 1 Bossy, Mireille 1 Brand, Samuel P. C. 1 Breit, Markus 1 Britz, Juliane 1 Buice, Michael A. ...and 238 more Authors all top 5 Fields 152 Biology and other natural sciences (92-XX) 31 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Numerical analysis (65-XX) 6 Integral equations (45-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Systems theory; control (93-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,165 times in 885 Documents Cited by ▼ Year ▼ Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205 Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan 87 2012 Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015 Ashwin, Peter; Coombes, Stephen; Nicks, Rachel 81 2016 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198 Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 69 2011 Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011 Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A. 55 2020 Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052 Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen 45 2013 Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis. Zbl 1321.92047 Reynaud-Bouret, Patricia; Rivoirard, Vincent; Grammont, Franck; Tuleau-Malot, Christine 40 2014 Clarification and complement to “Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons”. Zbl 1361.92014 Bossy, Mireille; Faugeras, Olivier; Talay, Denis 38 2015 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 30 2014 Phase-amplitude response functions for transient-state stimuli. Zbl 1291.92026 Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma 30 2013 Interface dynamics in planar neural field models. Zbl 1291.92028 Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo 29 2012 Neural excitability and singular bifurcations. Zbl 1357.92019 de Maesschalck, Peter; Wechselberger, Martin 25 2015 A showcase of torus canards in neuronal bursters. Zbl 1291.92025 Burke, John; Desroches, Mathieu; Barry, Anna M.; Kaper, Tasso J.; Kramer, Mark A. 24 2012 Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046 Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin 24 2013 Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model. Zbl 1259.37055 Barrio, Roberto; Shilnikov, Andrey 23 2011 Stability of the stationary solutions of neural field equations with propagation delays. Zbl 1259.92010 Veltz, Romain; Faugeras, Olivier 22 2011 Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038 Kuehn, Christian; Riedler, Martin G. 19 2014 Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043 Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira 18 2012 Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018 Laing, Carlo R. 16 2014 The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063 Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard 16 2011 Path integral methods for stochastic differential equations. Zbl 1357.92009 Chow, Carson C.; Buice, Michael A. 15 2015 The dynamics of networks of identical theta neurons. Zbl 1395.92040 Laing, Carlo R. 15 2018 Criteria for robustness of heteroclinic cycles in neural microcircuits. Zbl 1259.37054 Ashwin, Peter; Karabacak, Özkan; Nowotny, Thomas 14 2011 Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase resonance. Zbl 1291.92045 Rotstein, Horacio G. 13 2014 Fokker-Planck and Fortet equation-based parameter estimation for a leaky integrate-and-fire model with sinusoidal and stochastic forcing. Zbl 1431.92011 Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André 12 2014 A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027 Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald 11 2017 Derived patterns in binocular rivalry networks. Zbl 1291.92032 Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao 11 2013 A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy. Zbl 1291.92022 Benjamin, Oscar; Fitzgerald, Thomas H. B.; Ashwin, Peter; Tsaneva-Atanasova, Krasimira; Chowdhury, Fahmida; Richardson, Mark P.; Terry, John R. 11 2012 Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005 Bressloff, Paul C. 10 2015 Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038 Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M. 10 2018 Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030 Riedler, Martin G.; Buckwar, Evelyn 10 2013 Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119 Galtier, Mathieu; Wainrib, Gilles 9 2012 Network symmetry and binocular rivalry experiments. Zbl 1321.92044 Diekman, Casey O.; Golubitsky, Martin 9 2014 Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078 Provenzi, Edoardo 9 2020 Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016 Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim 8 2016 Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes. Zbl 1395.92046 Saggio, Maria Luisa; Spiegler, Andreas; Bernard, Christophe; Jirsa, Viktor K. 8 2017 Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050 Moye, Matthew J.; Diekman, Casey O. 8 2018 Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004 Bressloff, Paul C; Lai, Yi Ming 8 2011 Analysis of a hyperbolic geometric model for visual texture perception. Zbl 1259.92007 Faye, Gregory; Chossat, Pascal; Faugeras, Olivier 8 2011 Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233 Berthier, M. 8 2020 Neural field models with threshold noise. Zbl 1356.92021 Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R. 7 2016 Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013 Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim 7 2015 Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. Zbl 1443.92047 Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal 7 2020 Diffusion laws in dendritic spines. Zbl 1259.92008 Holcman, David; Schuss, Zeev 7 2011 Spontaneous voltage oscillations and response dynamics of a Hodgkin-Huxley type model of sensory hair cells. Zbl 1259.92009 Neiman, Alexander B; Dierkes, Kai; Lindner, Benjamin; Han, Lijuan; Shilnikov, Andrey L 7 2011 A network model of the periodic synchronization process in the dynamics of calcium concentration in GnRH neurons. Zbl 1291.92037 Krupa, Maciej; Vidal, Alexandre; Clément, Frédérique 6 2013 From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024 Bressloff, Paul C. 6 2012 Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. Zbl 1439.92049 Melanson, Alexandre; Longtin, André 6 2019 A formalism for evaluating analytically the cross-correlation structure of a firing-rate network model. Zbl 1357.92011 Fasoli, Diego; Faugeras, Olivier; Panzeri, Stefano 5 2015 Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator. Zbl 1405.92043 Ferrario, Andrea; Merrison-Hort, Robert; Soffe, Stephen R.; Li, Wen-Chang; Borisyuk, Roman 5 2018 Entrainment ranges for chains of forced neural and phase oscillators. Zbl 1360.92029 Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim 5 2016 Statistics of spike trains in conductance-based neural networks: rigorous results. Zbl 1259.92006 Cessac, Bruno 5 2011 Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. Zbl 1259.92003 Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 5 2011 Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs. Zbl 1291.92047 Schmidt, Deena R.; Thomas, Peter J. 5 2014 Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. Zbl 1291.92046 Rubin, Jonathan E.; Terman, David 5 2012 Computational convergence of the path integral for real dendritic morphologies. Zbl 1291.92027 Caudron, Quentin; Donnelly, Simon R.; Brand, Samuel P. C.; Timofeeva, Yulia 5 2012 Neural field models with transmission delays and diffusion. Zbl 1475.92020 Spek, Len; Kuznetsov, Yuri A.; van Gils, Stephan A. 5 2020 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013 Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 5 2021 Coarse-grained clustering dynamics of heterogeneously coupled neurons. Zbl 1356.92020 Moon, Sung Joon; Cook, Katherine A.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.; Cisternas, Jaime; Laing, Carlo R. 4 2015 On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1. Zbl 1357.92016 Veltz, Romain; Chossat, Pascal; Faugeras, Olivier 4 2015 Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram. Zbl 1357.92040 Dafilis, Mathew P.; Frascoli, Federico; Cadusch, Peter J.; Liley, David T. J. 4 2015 Mesoscopic population equations for spiking neural networks with synaptic short-term plasticity. Zbl 1443.92050 Schmutz, Valentin; Gerstner, Wulfram; Schwalger, Tilo 4 2020 What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034 Breit, Markus; Queisser, Gillian 4 2018 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037 Bressloff, Paul C.; Maclaurin, James N. 4 2018 Ill-posed point neuron models. Zbl 1360.92030 Nielsen, Bjørn Fredrik; Wyller, John 4 2016 Identification of criticality in neuronal avalanches. I: A theoretical investigation of the non-driven case. Zbl 1291.92049 Taylor, Timothy J.; Hartley, Caroline; Simon, Péter L.; Kiss, Istvan Z.; Berthouze, Luc 4 2013 Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons. Zbl 1291.92019 Akcay, Zeynep; Bose, Amitabha; Nadim, Farzan 4 2014 Managing heterogeneity in the study of neural oscillator dynamics. Zbl 1291.92039 Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G. 4 2012 A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019 Baspinar, E.; Sarti, A.; Citti, G. 4 2020 Synchronization and resilience in the Kuramoto white matter network model with adaptive state-dependent delays. Zbl 1448.92022 Park, Seong Hyun; Lefebvre, Jérémie 4 2020 Orientation maps in V1 and non-Euclidean geometry. Zbl 1357.92008 Afgoustidis, Alexandre 3 2015 Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size. Zbl 1361.92013 Afgoustidis, Alexandre 3 2015 Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005 Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter 3 2019 Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030 Barreiro, Andrea K.; Ly, Cheng 3 2018 Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048 Wang, Yangyang; Rubin, Jonathan E. 3 2017 The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036 Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen 3 2017 Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053 Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard 3 2017 Tailoring inputs to achieve maximal neuronal firing. Zbl 1259.92011 Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E. 3 2011 Transient localized wave patterns and their application to migraine. Zbl 1291.92029 Dahlem, Markus A.; Isele, Thomas M. 3 2013 Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not. Zbl 1291.92036 Hutt, Axel; Zhang, Linghai 3 2013 A computational study of spike time reliability in two types of threshold dynamics. Zbl 1291.92053 Yu, Na; Li, Yue-Xian; Kuske, Rachel 3 2013 Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051 Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. 3 2012 Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy. Zbl 1291.92035 Goodfellow, Marc; Glendinning, Paul 3 2013 Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. Zbl 1291.92050 Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide 3 2013 A density model for a population of theta neurons. Zbl 1291.92033 Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen 3 2014 The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. Zbl 1439.92051 Pérez-Cervera, Alberto; Ashwin, Peter; Huguet, Gemma; Seara, Tere M.; Rankin, James 3 2019 A simple mechanism for beyond-pairwise correlations in integrate-and-fire neurons. Zbl 1356.92019 Leen, David A.; Shea-Brown, Eric 2 2015 Shifting spike times or adding and deleting spikes – how different types of noise shape signal transmission in neural populations. Zbl 1356.92024 Voronenko, Sergej O.; Stannat, Wilhelm; Lindner, Benjamin 2 2015 The minimal \(k\)-core problem for modeling \(k\)-assemblies. Zbl 1357.92018 Wood, Cynthia I.; Hicks, Illya V. 2 2015 Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching. Zbl 1351.92011 Snyder, Abigail C.; Rubin, Jonathan E. 2 2015 Effect of neuromodulation of short-term plasticity on information processing in hippocampal interneuron synapses. Zbl 1395.92032 Bayat Mokhtari, Elham; Lawrence, J. Josh; Stone, Emily F. 2 2018 How adaptation makes low firing rates robust. Zbl 1395.92047 Sherman, Arthur S.; Ha, Joon 2 2017 Fundamental limits of forced asynchronous spiking with integrate and fire dynamics. Zbl 1397.92118 Nandi, Anirban; Schättler, Heinz; Ritt, Jason T.; Ching, ShiNung 2 2017 Robust exponential memory in Hopfield networks. Zbl 1395.92010 Hillar, Christopher J.; Tran, Ngoc M. 2 2018 Kernel reconstruction for delayed neural field equations. Zbl 1395.92028 Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel 2 2018 Stable control of firing rate mean and variance by dual homeostatic mechanisms. Zbl 1405.92038 Cannon, Jonathan; Miller, Paul 2 2017 Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue. Zbl 1352.00032 2 2016 Cross-correlations and joint gaussianity in multivariate level crossing models. Zbl 1291.92031 Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana 2 2014 How uncertainty bounds the shape index of simple cells. Zbl 1291.92021 Barbieri, D.; Citti, G.; Sarti, A. 2 2014 Stability of the splay state in networks of pulse-coupled neurons. Zbl 1291.92044 Olmi, Simona; Politi, Antonio; Torcini, Alessandro 2 2012 Predicted selective increase of cortical magnification due to cortical folding. Zbl 1291.92030 Dahlem, Markus A.; Tusch, Jan 2 2012 A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013 Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina 5 2021 Noisy network attractor models for transitions between EEG microstates. Zbl 1467.92105 Creaser, Jennifer; Ashwin, Peter; Postlethwaite, Claire; Britz, Juliane 2 2021 Retroactive interference model of forgetting. Zbl 1468.91119 Georgiou, Antonios; Katkov, Mikhail; Tsodyks, Misha 2 2021 Canard solutions in neural mass models: consequences on critical regimes. Zbl 1486.92010 Köksal Ersöz, Elif; Wendling, Fabrice 1 2021 M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. Zbl 1467.92046 Al-Darabsah, Isam; Campbell, Sue Ann 1 2021 Estimating Fisher discriminant error in a linear integrator model of neural population activity. Zbl 1467.92014 Calderini, Matias; Thivierge, Jean-Philippe 1 2021 A model of on/off transitions in neurons of the deep cerebellar nuclei: deciphering the underlying ionic mechanisms. Zbl 1467.92012 Berry, Hugues; Genet, Stéphane 1 2021 Auditory streaming emerges from fast excitation and slow delayed inhibition. Zbl 1467.92017 Ferrario, Andrea; Rankin, James 1 2021 Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011 Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A. 55 2020 Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078 Provenzi, Edoardo 9 2020 Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233 Berthier, M. 8 2020 Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. Zbl 1443.92047 Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal 7 2020 Neural field models with transmission delays and diffusion. Zbl 1475.92020 Spek, Len; Kuznetsov, Yuri A.; van Gils, Stephan A. 5 2020 Mesoscopic population equations for spiking neural networks with synaptic short-term plasticity. Zbl 1443.92050 Schmutz, Valentin; Gerstner, Wulfram; Schwalger, Tilo 4 2020 A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019 Baspinar, E.; Sarti, A.; Citti, G. 4 2020 Synchronization and resilience in the Kuramoto white matter network model with adaptive state-dependent delays. Zbl 1448.92022 Park, Seong Hyun; Lefebvre, Jérémie 4 2020 Methods to assess binocular rivalry with periodic stimuli. Zbl 1444.92011 Darki, Farzaneh; Rankin, James 2 2020 Attractor-state itinerancy in neural circuits with synaptic depression. Zbl 1448.92014 Chen, Bolun; Miller, Paul 2 2020 Sparse identification of contrast gain control in the fruit fly photoreceptor and amacrine cell layer. Zbl 1443.92066 Lazar, Aurel A.; Ukani, Nikul H.; Zhou, Yiyin 1 2020 Spatio-chromatic information available from different neural layers via gaussianization. Zbl 1467.92019 Malo, Jesús 1 2020 Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. Zbl 1439.92049 Melanson, Alexandre; Longtin, André 6 2019 Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005 Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter 3 2019 The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. Zbl 1439.92051 Pérez-Cervera, Alberto; Ashwin, Peter; Huguet, Gemma; Seara, Tere M.; Rankin, James 3 2019 Correction to: “Linking demyelination to compound action potential dispersion with a spike-diffuse-spike approach”. Zbl 1441.92009 Naud, Richard; Longtin, André 2 2019 A modified Hodgkin-Huxley model to show the effect of motor cortex stimulation on the trigeminal neuralgia network. Zbl 1439.92013 Khodashenas, Mohammadreza; Baghdadi, Golnaz; Towhidkhah, Farzad 1 2019 The dynamics of networks of identical theta neurons. Zbl 1395.92040 Laing, Carlo R. 15 2018 Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038 Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M. 10 2018 Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050 Moye, Matthew J.; Diekman, Casey O. 8 2018 Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator. Zbl 1405.92043 Ferrario, Andrea; Merrison-Hort, Robert; Soffe, Stephen R.; Li, Wen-Chang; Borisyuk, Roman 5 2018 What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034 Breit, Markus; Queisser, Gillian 4 2018 Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037 Bressloff, Paul C.; Maclaurin, James N. 4 2018 Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030 Barreiro, Andrea K.; Ly, Cheng 3 2018 Effect of neuromodulation of short-term plasticity on information processing in hippocampal interneuron synapses. Zbl 1395.92032 Bayat Mokhtari, Elham; Lawrence, J. Josh; Stone, Emily F. 2 2018 Robust exponential memory in Hopfield networks. Zbl 1395.92010 Hillar, Christopher J.; Tran, Ngoc M. 2 2018 Kernel reconstruction for delayed neural field equations. Zbl 1395.92028 Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel 2 2018 Analysis of an attractor neural network’s response to conflicting external inputs. Zbl 1395.92039 Hedrick, Kathryn; Zhang, Kechen 1 2018 Sparse functional identification of complex cells from spike times and the decoding of visual stimuli. Zbl 1395.92042 Lazar, Aurel A.; Ukani, Nikul H.; Zhou, Yiyin 1 2018 M-current expands the range of gamma frequency inputs to which a neuronal target entrains. Zbl 1405.92056 Zhou, Yujia; Vo, Theodore; Rotstein, Horacio G.; McCarthy, Michelle M.; Kopell, Nancy 1 2018 A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027 Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald 11 2017 Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes. Zbl 1395.92046 Saggio, Maria Luisa; Spiegler, Andreas; Bernard, Christophe; Jirsa, Viktor K. 8 2017 Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048 Wang, Yangyang; Rubin, Jonathan E. 3 2017 The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036 Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen 3 2017 Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053 Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard 3 2017 How adaptation makes low firing rates robust. Zbl 1395.92047 Sherman, Arthur S.; Ha, Joon 2 2017 Fundamental limits of forced asynchronous spiking with integrate and fire dynamics. Zbl 1397.92118 Nandi, Anirban; Schättler, Heinz; Ritt, Jason T.; Ching, ShiNung 2 2017 Stable control of firing rate mean and variance by dual homeostatic mechanisms. Zbl 1405.92038 Cannon, Jonathan; Miller, Paul 2 2017 Finite-size effects on traveling wave solutions to neural field equations. Zbl 1395.92041 Lang, Eva; Stannat, Wilhelm 1 2017 Regularization of ill-posed point neuron models. Zbl 1395.92044 Nielsen, Bjørn Fredrik 1 2017 An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Zbl 1395.92033 Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen 1 2017 Symmetries constrain dynamics in a family of balanced neural networks. Zbl 1395.92029 Barreiro, Andrea K.; Kutz, J. Nathan; Shlizerman, Eli 1 2017 A rate-reduced neuron model for complex spiking behavior. Zbl 1395.92035 Dijkstra, Koen; Kuznetsov, Yuri A.; van Putten, Michel J. A. M.; van Gils, Stephan A. 1 2017 Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015 Ashwin, Peter; Coombes, Stephen; Nicks, Rachel 81 2016 Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016 Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim 8 2016 Neural field models with threshold noise. Zbl 1356.92021 Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R. 7 2016 Entrainment ranges for chains of forced neural and phase oscillators. Zbl 1360.92029 Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim 5 2016 Ill-posed point neuron models. Zbl 1360.92030 Nielsen, Bjørn Fredrik; Wyller, John 4 2016 Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue. Zbl 1352.00032 2 2016 A theoretical study on the role of astrocytic activity in neuronal hyperexcitability by a novel neuron-glia mass model. Zbl 1360.92027 Garnier, Aurélie; Vidal, Alexandre; Benali, Habib 1 2016 Clarification and complement to “Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons”. 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Zbl 1291.92053 Yu, Na; Li, Yue-Xian; Kuske, Rachel 3 2013 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,393 Authors 18 Laing, Carlo R. 16 Bressloff, Paul C. 15 Ashwin, Peter 15 Rotstein, Horacio G. 14 Coombes, Stephen 14 Desroches, Mathieu 14 Kühn, Christian 13 Kilpatrick, Zachary P. 13 Wilson, Dan D. 12 Bick, Christian 12 MacLaurin, James N. 12 Thomas, Peter J. 11 Rubin, Jonathan E. 11 Vo, Theodore 10 Krupa, Martin 10 Osinga, Hinke Maria 10 Wechselberger, Martin 9 Avitabile, Daniele 9 Faugeras, Olivier D. 9 Krauskopf, Bernd 9 Salort, Delphine 8 Dumont, Grégory 8 Ermentrout, Bard G. 8 Ersöz, Elif Köksal 8 Gabriel, Pierre 8 Löcherbach, Eva 8 Luçon, Eric 8 Nakao, Hiroya 8 Ryashko, Lev Borisovich 7 Bashkirtseva, Irina Adol’fovna 7 Cáceres, María-José 7 Campbell, Sue Ann 7 Chevallier, Julien 7 Faye, Grégory 7 Martens, Erik Andreas 7 Perthame, Benoît 7 Reynaud-Bouret, Patricia 7 Tanré, Etienne 7 van Gils, Stephan A. 7 Veltz, Romain 6 Barrio, Roberto 6 Berthier, Michel 6 Carrillo de la Plata, José Antonio 6 Chossat, Pascal 6 Ditlevsen, Susanne 6 Gu, Huaguang 6 Henry, Jacques 6 Kaper, Tasso J. 6 Lima, Pedro Miguel 6 Omel’chenko, Oleh E. 6 Postlethwaite, Claire M. 6 Provenzi, Edoardo 6 Rankin, James 6 Shilnikov, Andrey L. 6 Wu, Ruoyu 6 Zhou, Zhennan 5 Bertram, Richard 5 Engel, Maximilian 5 Fernández-García, Soledad 5 Genon-Catalot, Valentine 5 Huguet, Gemma 5 Kirk, Vivien 5 Pérez-Cervera, Alberto 5 Serrano, Sergio E. 5 Stannat, Wilhelm 5 Stewart, Ian Nicholas 5 Tarniceriu, Carmen Oana 5 Thul, Rüdiger 5 Touboul, Jonathan David 5 Tsaneva-Atanasova, Krasimira T. 5 Vidal, Alexandre 4 Bel, Andrea L. 4 Budhiraja, Amarjit S. 4 Cessac, Bruno 4 Citti, Giovanna 4 Delarue, François 4 Fasoli, Diego 4 Goodfellow, Marc 4 Holcman, David 4 Inglis, James D. 4 Jelbart, Samuel 4 Jirsa, Viktor K. 4 Kulikov, Gennady Yur’evich 4 Kulikova, Maria V. 4 Kurths, Jürgen 4 Kuznetsov, Yuriĭ Aleksandrovich 4 Lai, Yi Ming 4 Laredo, Catherine F. 4 Letson, Benjamin 4 Levanova, Tatiana A. 4 Liu, Shenquan 4 Lohé, M. A. 4 Longtin, André 4 Ly, Cheng 4 Martínez, M. Angeles 4 Nicks, Rachel 4 Osipov, Grigory V. 4 Panzeri, Stefano 4 Quiñinao, Cristobal 4 Reisinger, Christoph ...and 1,293 more Authors all top 5 Cited in 165 Journals 95 Chaos 76 SIAM Journal on Applied Dynamical Systems 45 The Journal of Mathematical Neuroscience 40 Journal of Computational Neuroscience 39 Physica D 31 Communications in Nonlinear Science and Numerical Simulation 27 Biological Cybernetics 27 Stochastic Processes and their Applications 24 Journal of Mathematical Biology 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Journal of Nonlinear Science 15 Neural Computation 15 The Annals of Applied Probability 14 Nonlinearity 14 Journal of Physics A: Mathematical and Theoretical 11 Mathematical Biosciences 10 Journal of Statistical Physics 10 Chaos, Solitons and Fractals 10 Journal of Theoretical Biology 9 SIAM Journal on Applied Mathematics 9 SIAM Journal on Mathematical Analysis 8 Journal of Differential Equations 8 Bernoulli 8 Discrete and Continuous Dynamical Systems. 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A 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Journal of Statistical Planning and Inference 2 SIAM Journal on Control and Optimization 2 Stochastic Analysis and Applications 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Neural Networks 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 New Journal of Physics 2 Statistical Inference for Stochastic Processes 2 Regular and Chaotic Dynamics 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Stochastics and Dynamics 2 Multiscale Modeling & Simulation 2 Mathematical Biosciences and Engineering 2 Stochastics 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 2 Statistics and Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 American Mathematical Monthly 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Biometrical Journal ...and 65 more Journals all top 5 Cited in 49 Fields 517 Biology and other natural sciences (92-XX) 264 Ordinary differential equations (34-XX) 195 Probability theory and stochastic processes (60-XX) 176 Partial differential equations (35-XX) 160 Dynamical systems and ergodic theory (37-XX) 77 Numerical analysis (65-XX) 61 Statistical mechanics, structure of matter (82-XX) 59 Statistics (62-XX) 35 Systems theory; control (93-XX) 31 Integral equations (45-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Combinatorics (05-XX) 24 Computer science (68-XX) 21 Mechanics of particles and systems (70-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Operator theory (47-XX) 16 Quantum theory (81-XX) 11 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 5 Difference and functional equations (39-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year