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
Av-Ron E, Parnas H, Segel LA. (1991). A minimal biophysical model for an excitable and oscillatory neuron. Biological cybernetics. 65 [PubMed]
Bhalla US. (2017). Synaptic input sequence discrimination on behavioral timescales mediated by reaction-diffusion chemistry in dendrites. eLife. 6 [PubMed]
Bonsall MB, Geddes JR, Goodwin GM, Holmes EA. (2015). Bipolar disorder dynamics: affective instabilities, relaxation oscillations and noise. Journal of the Royal Society, Interface. 12 [PubMed]
Bugmann G, Christodoulou C, Clarkson T. (). A Spiking Neuron Model: Applications and Learning. Neural Networks. 15
Cattani A, Solinas S, Canuto C. (2016). A Hybrid Model for the Computationally-Efficient Simulation of the Cerebellar Granular Layer. Frontiers in computational neuroscience. 10 [PubMed]
Destexhe A, Babloyantz A, Sejnowski TJ. (1993). Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. Biophysical journal. 65 [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]
Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35
Geminiani A et al. (2018). Complex Dynamics in Simplified Neuronal Models: Reproducing Golgi Cell Electroresponsiveness. Frontiers in neuroinformatics. 12 [PubMed]
He Y, Keyes DE. (2007). Reconstructing parameters of the FitzHugh-Nagumo system from boundary potential measurements. Journal of computational neuroscience. 23 [PubMed]
Hindmarsh JL, Rose RM. (1984). A model of neuronal bursting using three coupled first order differential equations. Proceedings of the Royal Society of London. Series B, Biological sciences. 221 [PubMed]
Hong S, Agüera y Arcas B, Fairhall AL. (2007). Single neuron computation: from dynamical system to feature detector. Neural computation. 19 [PubMed]
Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [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]
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)
Kosmidis EK, Pakdaman K. (2003). An analysis of the reliability phenomenon in the FitzHugh-Nagumo model. Journal of computational neuroscience. 14 [PubMed]
Large EW, Crawford JD. (2002). Auditory temporal computation: interval selectivity based on post-inhibitory rebound. Journal of computational neuroscience. 13 [PubMed]
Lytton WW, Wathey JC. (1992). Realistic single-neuron modeling Seminars In Neuroscience. 4
Maia PD, Kutz JN. (2014). Compromised axonal functionality after neurodegeneration, concussion and/or traumatic brain injury. Journal of computational neuroscience. 37 [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
Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]
Naze S, Bernard C, Jirsa V. (2015). Computational modeling of seizure dynamics using coupled neuronal networks: factors shaping epileptiform activity. PLoS computational biology. 11 [PubMed]
Ori H, Marder E, Marom S. (2018). Cellular function given parametric variation in the Hodgkin and Huxley model of excitability. Proceedings of the National Academy of Sciences of the United States of America. 115 [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. (2006). Nonlinear interaction between shunting and adaptation controls a switch between integration and coincidence detection in pyramidal neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Rall W, Shepherd GM. (1968). Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb. Journal of neurophysiology. 31 [PubMed]
Rempe MJ, Best J, Terman D. (2010). A mathematical model of the sleep/wake cycle. Journal of mathematical biology. 60 [PubMed]
Rowat P. (2007). Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural computation. 19 [PubMed]
Sterratt DC, Graham B, Gillies A, Willshaw D. (2011). Principles of Computational Modelling in Neuroscience, Cambridge University Press.
Stewart RD, Bair W. (2009). Spiking neural network simulation: numerical integration with the Parker-Sochacki method. Journal of computational neuroscience. 27 [PubMed]
Tikidji-Hamburyan RA, El-Ghazawi TA, Narayana V, Bozkus Z. (2017). Software for Brain Network Simulations: A Comparative Study Front. Neuroinform..
Tonnelier A. (2005). Categorization of neural excitability using threshold models. Neural computation. 17 [PubMed]
Van Pottelbergh T, Drion G, Sepulchre R. (2018). Robust Modulation of Integrate-and-Fire Models. Neural computation. 30 [PubMed]
Veredas FJ, Vico FJ, Alonso JM. (2005). Factors determining the precision of the correlated firing generated by a monosynaptic connection in the cat visual pathway. The Journal of physiology. 567 [PubMed]
Via G, Faber J, Cavalheiro EA. (2017). Computational Models for the Propagation of Spreading Depression Waves Computational Neuroscience.
Visser S, van Gils SA. (2014). Lumping Izhikevich neurons EPJ Nonlinear Biomedical Physics. 25(12)
Wang XJ. (1994). Multiple dynamical modes of thalamic relay neurons: rhythmic bursting and intermittent phase-locking. Neuroscience. 59 [PubMed]
Weaver CM, Wearne SL. (2006). The role of action potential shape and parameter constraints in optimization of compartment models Neurocomputing. 69