Van Pottelbergh T, Drion G, Sepulchre R. (2018). Robust Modulation of Integrate-and-Fire Models. Neural computation. 30 [PubMed]

See more from authors: Van Pottelbergh T · Drion G · Sepulchre R

References and models cited by this paper

Bal T, McCormick DA. (1993). Mechanisms of oscillatory activity in guinea-pig nucleus reticularis thalami in vitro: a mammalian pacemaker. The Journal of physiology. 468 [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 JT, Randall AD. (2009). Activity-dependent depression of the spike after-depolarization generates long-lasting intrinsic plasticity in hippocampal CA3 pyramidal neurons. The Journal of physiology. 587 [PubMed]

Chase SM, Young ED. (2007). First-spike latency information in single neurons increases when referenced to population onset. Proceedings of the National Academy of Sciences of the United States of America. 104 [PubMed]

Dethier J, Drion G, Franci A, Sepulchre R. (2015). A positive feedback at the cellular level promotes robustness and modulation at the circuit level. Journal of neurophysiology. 114 [PubMed]

Drion G, Franci A, Dethier J, Sepulchre R. (2015). Dynamic Input Conductances Shape Neuronal Spiking eNeuro. 2 [PubMed]

Drion G, Franci A, Seutin V, Sepulchre R. (2012). A novel phase portrait for neuronal excitability. PloS one. 7 [PubMed]

Drion G, O'Leary T, Marder E. (2015). Ion channel degeneracy enables robust and tunable neuronal firing rates. Proceedings of the National Academy of Sciences of the United States of America. 112 [PubMed]

Fernandez FR, White JA. (2009). Reduction of spike afterdepolarization by increased leak conductance alters interspike interval variability. The Journal of neuroscience : the official journal of the Society for Neuroscience. 29 [PubMed]

Fitzhugh R. (1961). Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical journal. 1 [PubMed]

Franci A, Drion G, Sepulchre R. (2012). An organizing center in a planar model of neuronal excitability SIAM Journal on Applied Dynamical Systems. 11(4)

Franci A, Drion G, Sepulchre R. (2014). Modeling the modulation of neuronal bursting: A singularity theory approach SIAM Journal on Applied Dynamical Systems. 13(2)

Franci A, Drion G, Sepulchre R. (2018). Robust and tunable bursting requires slow positive feedback. Journal of neurophysiology. 119 [PubMed]

Franci A, Drion G, Seutin V, Sepulchre R. (2013). A balance equation determines a switch in neuronal excitability. PLoS computational biology. 9 [PubMed]

Gollisch T, Meister M. (2008). Rapid neural coding in the retina with relative spike latencies. Science (New York, N.Y.). 319 [PubMed]

Goodman DF, Brette R. (2009). The brian simulator. Frontiers in neuroscience. 3 [PubMed]

HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]

Harris-Warrick RM, Marder E. (1991). Modulation of neural networks for behavior. Annual review of neuroscience. 14 [PubMed]

Hill AV. (1936). Excitation and accomodation in nerve Proc Roy Soc. 119

Hille B. (2001). Ionic Channels of Excitable Membranes.

Izhikevich EM. (2003). Simple model of spiking neurons. IEEE transactions on neural networks. 14 [PubMed]

Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.

Kaczmarek LK, Levitan IB. (1987). Neuromodulation: The biochemical control of neuronal excitability.

Knight BW. (1972). Dynamics of encoding in a population of neurons. The Journal of general physiology. 59 [PubMed]

Lapicque L. (1907). Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen. 9

Lee SH, Dan Y. (2012). Neuromodulation of brain states. Neuron. 76 [PubMed]

Levitan ES, Levitan IB. (1988). Serotonin acting via cyclic AMP enhances both the hyperpolarizing and depolarizing phases of bursting pacemaker activity in the Aplysia neuron R15. The Journal of neuroscience : the official journal of the Society for Neuroscience. 8 [PubMed]

Levitan IB, Harmar AJ, Adams WB. (1979). Synaptic and hormonal modulation of a neuronal oscillator: a search for molecular mechanisms. The Journal of experimental biology. 81 [PubMed]

MOORE JW. (1959). Excitation of the squid axon membrane in isosmotic potassium chloride. Nature. 183 [PubMed]

Marder E. (2012). Neuromodulation of neuronal circuits: back to the future. Neuron. 76 [PubMed]

Mensi S, Hagens O, Gerstner W, Pozzorini C. (2016). Enhanced Sensitivity to Rapid Input Fluctuations by Nonlinear Threshold Dynamics in Neocortical Pyramidal Neurons. PLoS computational biology. 12 [PubMed]

Mensi S et al. (2012). Parameter extraction and classification of three cortical neuron types reveals two distinct adaptation mechanisms. Journal of neurophysiology. 107 [PubMed]

Metz AE, Jarsky T, Martina M, Spruston N. (2005). R-type calcium channels contribute to afterdepolarization and bursting in hippocampal CA1 pyramidal neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Mihalaş S, Niebur E. (2009). A generalized linear integrate-and-fire neural model produces diverse spiking behaviors. Neural computation. 21 [PubMed]

Nagumo J, Arimoto S, Yoshizawa S. (1962). An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE. 50

O'Leary T, Franci A, Drion G, Sepulchre R, Dethier J. (2015). Neuronal behaviors: A control perspective Proceedings of the 54th IEEE Conference on Decision and Control.

Pozzorini C, Naud R, Mensi S, Gerstner W. (2013). Temporal whitening by power-law adaptation in neocortical neurons. Nature neuroscience. 16 [PubMed]

Rinzel J. (1985). Excitation dynamics: insights from simplified membrane models. Federation proceedings. 44 [PubMed]

Rinzel J, Lee YS. (1987). Dissection of a model for neuronal parabolic bursting. Journal of mathematical biology. 25 [PubMed]

STEIN RB. (1965). A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY. Biophysical journal. 5 [PubMed]

Stimberg M, Goodman DF, Benichoux V, Brette R. (2014). Equation-oriented specification of neural models for simulations. Frontiers in neuroinformatics. 8 [PubMed]

Storchi R, Bale MR, Biella GE, Petersen RS. (2012). Comparison of latency and rate coding for the direction of whisker deflection in the subcortical somatosensory pathway. Journal of neurophysiology. 108 [PubMed]

Thompson SH, Smith SJ. (1976). Depolarizing afterpotentials and burst production in molluscan pacemaker neurons. Journal of neurophysiology. 39 [PubMed]

Trotta L. (2013). Analysis of performance and robustness of biological switches: Local tools for non-local dynamical phenomena. Ph.D. diss.,Université de Liège, Liège, Belgium.

Yue C, Remy S, Su H, Beck H, Yaari Y. (2005). Proximal persistent Na+ channels drive spike afterdepolarizations and associated bursting in adult CA1 pyramidal cells. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]

Zohar O, Shackleton TM, Nelken I, Palmer AR, Shamir M. (2011). First spike latency code for interaural phase difference discrimination in the guinea pig inferior colliculus. The Journal of neuroscience : the official journal of the Society for Neuroscience. 31 [PubMed]

References and models that cite this paper
This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.