Legends: | Link to a Model | Reference cited by multiple papers |
 • | Numerical Integration of Izhikevich and HH model neurons (Stewart and Bair 2009) |
References and models cited by this paper | References and models that cite this paper | |||||||||||||||
Bezanilla F, Perozo E, Stefani E (1994) Gating of Shaker K+ channels: II. The components of gating currents and a model of channel activation. Biophys J 66:1011-21 [Journal] [PubMed] Borg-graham L (1999) Interpretations of data and mechanisms for hippocampal pyramidal cell models Cerebral Cortex cortical Models, Jones E:Ulinski P:Peters A, ed. pp.19 Brette R (2006) Exact simulation of integrate-and-fire models with synaptic conductances. Neural Comput 18:2004-27 [Journal] [PubMed] Brette R (2007) Exact simulation of integrate-and-fire models with exponential currents. Neural Comput 19:2604-9 [Journal] [PubMed] Brette R, Gerstner W (2005) Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. J Neurophysiol 94:3637-42 [Journal] [PubMed]
Brette R, Rudolph M, Carnevale T, Hines M, Beeman D, Bower JM, Diesmann M, Morrison A, Goodman PH, Harris FC, Zirpe M, Natschläger T, Pecevski D, Ermentrout B, Djurfeldt M, Lansner A, Rochel O, Vieville T, Muller E, Davison AP, El Boustani S, Destexhe A (2007) Simulation of networks of spiking neurons: a review of tools and strategies. J Comput Neurosci 23:349-98 [Journal] [PubMed] Carothers DC, Parker GE, Sochacki JS, Warne PG (2005) Some properties of solutions to polynomial systems of differential equations Electronic Journal Of Differential Equations 40:1-17 De_boor C (2001) A practical guide to splines Applied mathematical sciences, revised edition Delorme A, Thorpe SJ (2003) SpikeNET: an event-driven simulation package for modelling large networks of spiking neurons. Network 14:613-27 [PubMed] Destexhe A (2000) Kinetic models of membrane excitability and synaptic interactions Computational modeling of genetic and biochemical networks, Bower JM:Bolouri H, ed. pp.225 Destexhe A, Mainen ZF, Sejnowski TJ (1994) Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. J Comput Neurosci 1:195-230 [PubMed]
Ermentrout B (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comput 8:979-1001 [PubMed] Fitzhugh R (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophys J 1:445-66 [PubMed] Floater MS, Hormann K (2007) Barycentric rational interpolation with no poles and high rates of approximation Numerical Mathematics 107:315-331 Fourcaud-Trocmé N, Hansel D, van Vreeswijk C, Brunel N (2003) How spike generation mechanisms determine the neuronal response to fluctuating inputs. J Neurosci 23:11628-40 [PubMed] Hindmarsh JL, Rose RM (1982) A model of the nerve impulse using two first-order differential equations. Nature 296:162-4 [PubMed] Hindmarsh JL, Rose RM (1984) A model of neuronal bursting using three coupled first order differential equations. Proc R Soc Lond B Biol Sci 221:87-102 [Journal] [PubMed]
HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed] Izhikevich E (2001) Resonate-and-fire neurons Neural Networks 14(6-7):883-894 Izhikevich EM (2003) Simple model of spiking neurons. IEEE Trans Neural Netw 14:1569-72 [Journal] [PubMed]
Izhikevich EM (2004) Which model to use for cortical spiking neurons? IEEE Trans Neural Netw 15:1063-70 [Journal] [PubMed]
Izhikevich EM (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting [Journal]
Knuth DE (1997) The art of computer programming: Seminumerical algorithms(3rd ed., Vol. 2) Lapicque L (1907) Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen 9:620-635 [Journal] Latham PE, Richmond BJ, Nelson PG, Nirenberg S (2000) Intrinsic dynamics in neuronal networks. I. Theory. J Neurophysiol 83:808-27 [Journal] [PubMed] Makino T (2003) A discrete-event neural network simulator for general neuron models Neural Comput App 11:210-223 Mattia M, Del Giudice P (2000) Efficient event-driven simulation of large networks of spiking neurons and dynamical synapses. Neural Comput 12:2305-29 [PubMed] Morrison A, Straube S, Plesser HE, Diesmann M (2007) Exact subthreshold integration with continuous spike times in discrete-time neural network simulations. Neural Comput 19:47-79 [Journal] [PubMed] Nagumo J, Arimoto S, Yoshizawa S (1962) An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE 50:2061-2070 [Journal] Parker GE, Sochacki JS (1996) Implementing the Picard iteration Neural, Parallel Scientific Computations 4(1):97-112 Parker GE, Sochacki JS (2000) A Picard-Maclaurin theorem for initial value PDE's Abstract And Applied Analysis 5:47-63 Press WH, Teukolsky SA, Vellerling WT, Flannery BP (1992) Numerical Recipes In C: The Art Of Scientific Computing Pruett CD, Rudmin JW, Lacy JM (2003) An adaptive N-body algorithm of optimal order Journal Of Computational Physics 187:298-317 Rudmin JW (1998) Application of the Parker-Sochacki method to celestial mechanics Technical Report Traub RD, Miles R (1991) Neuronal Networks Of The Hippocampus Tuckwell HC (1988) Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure Vandenberg CA, Bezanilla F (1991) A sodium channel gating model based on single channel, macroscopic ionic, and gating currents in the squid giant axon. Biophys J 60:1511-33 [Journal] [PubMed] Vogels TP, Abbott LF (2005) Signal propagation and logic gating in networks of integrate-and-fire neurons. J Neurosci 25:10786-95 [Journal] [PubMed] |