Acker CD, Kopell N, White JA. (2003). Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. Journal of computational neuroscience. 15 [PubMed]
Alidousti J, Ghaziani RK. (2017). Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model Mathematical Models and Computer Simulations. 9
Badel L et al. (2008). Dynamic I-V curves are reliable predictors of naturalistic pyramidal-neuron voltage traces. Journal of neurophysiology. 99 [PubMed]
Bendels MH, Leibold C. (2007). Generation of theta oscillations by weakly coupled neural oscillators in the presence of noise. Journal of computational neuroscience. 22 [PubMed]
Bogaard A, Parent J, Zochowski M, Booth V. (2009). Interaction of cellular and network mechanisms in spatiotemporal pattern formation in neuronal networks. The Journal of neuroscience : the official journal of the Society for Neuroscience. 29 [PubMed]
Booth V, Bose A. (2002). Burst synchrony patterns in hippocampal pyramidal cell model networks. Network (Bristol, England). 13 [PubMed]
Brette R. (2004). Dynamics of one-dimensional spiking neuron models. Journal of mathematical biology. 48 [PubMed]
Brette R, Gerstner W. (2005). Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. Journal of neurophysiology. 94 [PubMed]
Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]
Brown E et al. (2004). The influence of spike rate and stimulus duration on noradrenergic neurons. Journal of computational neuroscience. 17 [PubMed]
Börgers C, Kopell N. (2005). Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural computation. 17 [PubMed]
Börgers C, Kopell NJ. (2008). Gamma oscillations and stimulus selection. Neural computation. 20 [PubMed]
Couto J, Linaro D, De Schutter E, Giugliano M. (2015). On the firing rate dependency of the phase response curve of rat Purkinje neurons in vitro. PLoS computational biology. 11 [PubMed]
Doi S, Kumagai S. (2005). Generation of very slow neuronal rhythms and chaos near the Hopf bifurcation in single neuron models. Journal of computational neuroscience. 19 [PubMed]
Doiron B, Laing C, Longtin A, Maler L. (2002). Ghostbursting: a novel neuronal burst mechanism. Journal of computational neuroscience. 12 [PubMed]
Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35
Feng J, Brown D, Feerick S. (1999). Variability of firing of Hodgkin-Huxley and FitzHugh-Nagumo neurons with stochastic synaptic input. Physical Review Letters. 82
Feng J, Li G. (2002). Impact of geometrical structures on the output of neuronal models: a theoretical and numerical analysis. Neural computation. 14 [PubMed]
Fernandez FR, Mehaffey WH, Turner RW. (2005). Dendritic Na+ current inactivation can increase cell excitability by delaying a somatic depolarizing afterpotential. Journal of neurophysiology. 94 [PubMed]
Fröhlich F, Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ. (2006). Slow state transitions of sustained neural oscillations by activity-dependent modulation of intrinsic excitability. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Fujita T, Fukai T, Kitano K. (2012). Influences of membrane properties on phase response curve and synchronization stability in a model globus pallidus neuron. Journal of computational neuroscience. 32 [PubMed]
Golomb D et al. (2007). Mechanisms of firing patterns in fast-spiking cortical interneurons. PLoS computational biology. 3 [PubMed]
Govaerts W, Sautois B. (2005). The onset and extinction of neural spiking: a numerical bifurcation approach. Journal of computational neuroscience. 18 [PubMed]
Govaerts W, Sautois B. (2006). Computation of the phase response curve: a direct numerical approach. Neural computation. 18 [PubMed]
Grado LL, Johnson MD, Netoff TI. (2018). Bayesian adaptive dual control of deep brain stimulation in a computational model of Parkinson's disease. PLoS computational biology. 14 [PubMed]
Gutkin BS, Laing CR, Colby CL, Chow CC, Ermentrout GB. (2001). Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of computational neuroscience. 11 [PubMed]
Hansel D, Mato G. (2003). Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Neural computation. 15 [PubMed]
Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]
Jaffe DB, Brenner R. (2018). A computational model for how the fast afterhyperpolarization paradoxically increases gain in regularly firing neurons. Journal of neurophysiology. 119 [PubMed]
Jeong HY, Gutkin B. (2007). Synchrony of neuronal oscillations controlled by GABAergic reversal potentials. Neural computation. 19 [PubMed]
Jolivet R, Lewis TJ, Gerstner W. (2004). Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. Journal of neurophysiology. 92 [PubMed]
Kanamaru T. (2006). Analysis of synchronization between two modules of pulse neural networks with excitatory and inhibitory connections. Neural computation. 18 [PubMed]
Kanamaru T, Sekine M. (2005). Synchronized firings in the networks of class 1 excitable neurons with excitatory and inhibitory connections and their dependences on the forms of interactions. Neural computation. 17 [PubMed]
Kopell N, Borgers C, Pervouchine D, Tort AB, Malerba P. (2010). Gamma and theta rhythms in biophysical models of hippocampal circuits Hippocampal Microcircuits: A Computational Modeller`s Resource Book. Ch. 15..
Kopell N, Rotstein HG, Clewley R. (2005). A Computational Tool for the Reduction of Nonlinear ODE Systems Possessing Multiple Scales Multiscale modeling & simulation. 4(3)
Kömek K, Bard Ermentrout G, Walker CP, Cho RY. (2012). Dopamine and gamma band synchrony in schizophrenia--insights from computational and empirical studies. The European journal of neuroscience. 36 [PubMed]
La Camera G, Rauch A, Lüscher HR, Senn W, Fusi S. (2004). Minimal models of adapted neuronal response to in vivo-like input currents. Neural computation. 16 [PubMed]
Laing CR et al. (2003). Type I burst excitability. Journal of computational neuroscience. 14 [PubMed]
Latham PE, Nirenberg S. (2004). Computing and stability in cortical networks. Neural computation. 16 [PubMed]
Leblois A, Boraud T, Meissner W, Bergman H, Hansel D. (2006). Competition between feedback loops underlies normal and pathological dynamics in the basal ganglia. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Longtin A, Doiron B, Bulsara AR. (2002). Noise-induced divisive gain control in neuron models. Bio Systems. 67 [PubMed]
Lu Y, Sarter M, Zochowski M, Booth V. (2020). Phasic cholinergic signaling promotes emergence of local gamma rhythms in excitatory-inhibitory networks. The European journal of neuroscience. 52 [PubMed]
Martinez D. (2005). Oscillatory synchronization requires precise and balanced feedback inhibition in a model of the insect antennal lobe. Neural computation. 17 [PubMed]
Matsubara T, Torikai H. (2016). An Asynchronous Recurrent Network of Cellular Automaton-Based Neurons and Its Reproduction of Spiking Neural Network Activities. IEEE transactions on neural networks and learning systems. 27 [PubMed]
Mehaffey WH, Doiron B, Maler L, Turner RW. (2005). Deterministic multiplicative gain control with active dendrites. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Mishra D, Yadav A, Ray S, Kalra PK. (2005). Nonlinear Dynamical Analysis on Coupled Modified Fitzhugh-Nagumo Neuron Model Advances in Neural Network - ISNN 2005 , Lecture notes in Computer Science. 3496/2005
Monaco JD, Knierim JJ, Zhang K. (2011). Sensory feedback, error correction, and remapping in a multiple oscillator model of place cell activity Frontiers in computational neuroscience. 5 [PubMed]
Oh M, Matveev V. (2009). Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons. Journal of computational neuroscience. 26 [PubMed]
Oprisan SA. (2017). Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve. Neural computation. 29 [PubMed]
Park EH, Barreto E, Gluckman BJ, Schiff SJ, So P. (2005). A model of the effects of applied electric fields on neuronal synchronization. Journal of computational neuroscience. 19 [PubMed]
Pfeuty B, Mato G, Golomb D, Hansel D. (2003). Electrical synapses and synchrony: the role of intrinsic currents. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]
Pfeuty B, Mato G, Golomb D, Hansel D. (2005). The combined effects of inhibitory and electrical synapses in synchrony. Neural computation. 17 [PubMed]
Prescott SA, De Koninck Y, Sejnowski TJ. (2008). Biophysical basis for three distinct dynamical mechanisms of action potential initiation. PLoS computational biology. 4 [PubMed]
Prescott SA, Ratté S, De Koninck Y, Sejnowski TJ. (2008). Pyramidal neurons switch from integrators in vitro to resonators under in vivo-like conditions. Journal of neurophysiology. 100 [PubMed]
Rubin JE. (2005). Surprising effects of synaptic excitation. Journal of computational neuroscience. 18 [PubMed]
Schultheiss NW, Edgerton JR, Jaeger D. (2010). Phase response curve analysis of a full morphological globus pallidus neuron model reveals distinct perisomatic and dendritic modes of synaptic integration. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
St-Hilaire M, Longtin A. (2004). Comparison of coding capabilities of Type I and Type II neurons. Journal of computational neuroscience. 16 [PubMed]
Stewart RD, Bair W. (2009). Spiking neural network simulation: numerical integration with the Parker-Sochacki method. Journal of computational neuroscience. 27 [PubMed]
Stiefel KM, Gutkin BS, Sejnowski TJ. (2009). The effects of cholinergic neuromodulation on neuronal phase-response curves of modeled cortical neurons. Journal of computational neuroscience. 26 [PubMed]
Takekawa T, Aoyagi T, Fukai T. (2007). Synchronous and asynchronous bursting states: role of intrinsic neural dynamics. Journal of computational neuroscience. 23 [PubMed]
Talathi SS, Abarbanel HD, Ditto WL. (2008). Temporal spike pattern learning. Physical review. E, Statistical, nonlinear, and soft matter physics. 78 [PubMed]
Talathi SS, Carney PR, Khargonekar PP. (2011). Control of neural synchrony using channelrhodopsin-2: a computational study. Journal of computational neuroscience. 31 [PubMed]
Talathi SS, Hwang DU, Ditto WL. (2008). Spike timing dependent plasticity promotes synchrony of inhibitory networks in the presence of heterogeneity. Journal of computational neuroscience. 25 [PubMed]
Tikidji-Hamburyan RA, El-Ghazawi TA, Narayana V, Bozkus Z. (2017). Software for Brain Network Simulations: A Comparative Study Front. Neuroinform..
Tikidji-Hamburyan RA, Leonik CA, Canavier CC. (2019). Phase response theory explains cluster formation in sparsely but strongly connected inhibitory neural networks and effects of jitter due to sparse connectivity. Journal of neurophysiology. 121 [PubMed]
Tikidji-Hamburyan RA, Martínez JJ, White JA, Canavier CC. (2015). Resonant Interneurons Can Increase Robustness of Gamma Oscillations. The Journal of neuroscience : the official journal of the Society for Neuroscience. 35 [PubMed]
Tonnelier A. (2005). Categorization of neural excitability using threshold models. Neural computation. 17 [PubMed]
Tonnelier A, Belmabrouk H, Martinez D. (2007). Event-driven simulations of nonlinear integrate-and-fire neurons. Neural computation. 19 [PubMed]
Troyer TW. (2006). Factors affecting phase synchronization in integrate-and-fire oscillators. Journal of computational neuroscience. 20 [PubMed]
Várkonyi PL, Kiemel T, Hoffman K, Cohen AH, Holmes P. (2008). On the derivation and tuning of phase oscillator models for lamprey central pattern generators. Journal of computational neuroscience. 25 [PubMed]
Wang XJ, Buzsáki G. (1996). Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 16 [PubMed]
White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N. (1998). Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. Journal of computational neuroscience. 5 [PubMed]