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Original Article

Summation and multiplication: two distinct operation domains of leaky integrate-and-fire neurons

Pages 489-509 | Received 03 Jun 1991, Published online: 09 Jul 2009

References

  • Abeles M, Vaadia E, Bergman H. Firing pattern of single units in the prefrontal cortex and neural network models. Network 1990; 1: 13–25
  • Amit D J, Evans M R, Abeles M. Attractor neural networks with biological probe records. Network 1990; 1: 381–405
  • Bak P. The devil's staircase. Phys. Today 1986; 39(December)38–45
  • Barlow H B. Trigger features, adaptation and economy of impulses. Information Processing in the Nervous System, K N Leibovic. Springer, Berlin 1969; 209–30
  • Bliss T V. P, Lynch M A. Long-term potentiation of synaptic transmission in the hippocampus properties and mechanisms. Long Term Potentiation Mechanisms and Key Issues, P W Landfield, S A Deadwyler. Liss, New York 1988; 3–72
  • Braamhof M. Spatiotemporal correlation in the cerebellum. Artificial Neural Networks, T Kohenen, et al. Elsevier, Amsterdam 1991; 1739–42, (also 1991 Proc. IJCNN'91 (Seattle))
  • Bugmann G. Neural information carried by one spike. Proc. 2nd Australian Conf. on Neural Networks (ACNN'91). Sydney 1991; 235–8
  • Connors B W, Gutnick M J. Intrinsic firing patterns of diverse neocortical neurons. Trends in Neuroscience 1990; 13: 99–104
  • Fukushima K, Miyake S, Ito T. Neocognitron, a neural network model for a mechanism of visual pattern recognition. IEEE Trans. Systems Man. Cybern. 1983; SMC-13: 826–34
  • Fukushima M, Wake N. Handwritten character recognition by the neocognitron. IEEE Trans. Neural Networks 1991; NN-2: 355–65
  • Georgopoulos A P, Kalaska J F, Crutcher M D, Caminti R, Massey J T. The representation of movement direction in the motor cortex single cell and population studies. Dynamic Aspects of Neocortical Function, G M Edelmann, et al. Wiley, New York 1984; 501-24
  • Gustaffson B, Wigstrom H. Shape of frequency-curves on CA1 pyramidal cells in the hippocampus. Brain Res. 1981; 223: 417–21
  • Harmon L D. Studies with artificial neutron, I properties and functions of an artificial neuron. Kybernetik 1961; 3: 89–101
  • Hillman D E. Neural shape parameters and substructures as a basis of neuronal from. The Neurosciences (4th Study Program), F O Schmitt, F G Worden. MIT Press, Cambridge, MA 1979
  • Hopfield J J. Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 1984; 81: 3088–92
  • Ito M. Long-term depression. Ann. Rev. Neurosci. 1989; 12: 85–102
  • Jack J. An introduction to linear cable theory. The Neurosciences (4th Study Program), F O Schmitt, F G Worden. MIT Press, Cambridge, MA 1979; 423–37
  • Jack J, Redman S J, Wong K. The components of synaptic potentials evoked in cat spinal motorneurons by impulses in single group Ia afferents. J. Physiol. 1981; 312: 65–96
  • Kawato M, Hamaguchi T, Murakami F, Tsukahara N. Quantitative analysis of electrical properties of dendritic spines. Biol. Cybern. 1984; 50: 447–54
  • Koch U T, Brunner M. A modular analog neuron-model for research and teaching. Biol. Cybern. 1988; 59: 303–12
  • Koch C, Poggio T. Multiplying with synapses and neurons. Single Neuron Computation, S Zornetzer, et al, 1991, in press
  • Levick W R. Variation in the response latency of cat retinal ganglion cells. Vision Res. 1973; 13: 837–53
  • Mancini M, Madden B C, Emerson R C. White noise analysis of temporal response properties in simple cells of cat cortex. Biol. Cybern. 1990; 63: 209–19
  • Matsumoto G, Takahashi N, Hanyu Y. Chaos, phase locking and bifurcation in normal squid axons. Chaos in Biological Systems, H Deng, et al. Plenum, New York 1987; 143–56
  • Maunsell J H. R, Newsome W T. Visual processing in monkey extrastriate cortex. Ann. Rev. Neurosci. 1987; 10: 363–401
  • Okajima K, Nomura M, Bugmann G, Fujiwara S. Modeling of visual information processing. Proc. 9th Symp. on Future Electron Devices. Makuhari, ChibaJapan. Research & Development Association for Future Electron Devices, Tokyo 1990; 159–66
  • Reichardt W, Egelhaaf M, Ai-ke Guo. Processing of figure and background motion in the visual system of the fly. Biol. Cybern. 1989; 61: 327–45
  • Redman S. Monosynaptic transmisson in the spinal cord. News in Physiol. Sci. 1986; 1: 171–4
  • Redman S. Quantal analysis of synaptic potentials in neurons of the central nervous system. Physiol. Rev. 1990; 70: 165–98
  • Rodman H R, Gross C G, Albright T D. Afferent basis of visual response properties in area MT of the macaque I Effect of striate cortex removal. J. Neurosci. 1989; 9: 2033–50
  • Rolls E T. Principles underlying the representation and storage of information on neural networks in the primate hippocampus and cerebral cortex. An Introduction to Neural and Electronic Networks, S F Zornetzer, et al. Academic, New York 1990; 73–90
  • Saul A B, Humphrey A L. Spatial and temporal response properties of lagged and nonlagged cells in cat lateral geniculate nucleus. J. Neurophysiol. 1990; 64: 206–24
  • Schwindt P C, Crill W E. Factors influencing motorneuron rhythmic firing: results from a voltage clamp study. J. Neurophysiol. 1982; 48: 875–90
  • Srinivasan M, Bernard G D. A proposed mechanism for multiplication of neural signals. Biol. Cybern. 1976; 21: 227–36
  • Steriade M. The excitatory-inhibitory response sequence in thalamic and neocortical cells state-related changes and regulatory systems. Dynamic Aspects of Neocortical Function, G M Edelmann, et al. Wiley, New York 1984; 107–57
  • Stratford K, Mason A, Larkman A, Major G, Jack J. The modelling of pyramidal neurons in the visual cortex. The Computing Neuron, R Durbin, et al. Addison-Wesley, Wokingham 1989; 296–321
  • Tsukada M, Nishi N, Sato R. Stochastic automaton model for the temporal pattern discrimination of nerve impulses sequences. Biol. Cybern. 1976; 21: 121–30
  • Wilson M A, Bower J M. The simulation of large-scale neural networks. Methods in Neuronal Modelling, C Koch, I Segev. MIT Press, Cambridge, MA 1989; 291–333
  • Wolfson B, Gutnick M J, Baldino F, Jr. Electrophysiological characteristics of neurons in neocortical explant cultures. Exp. Brain Res. 1989; 76: 172–80
  • Zayezdny A, Tabak D, Wulich D. Engineering Application of Stochastic Processes. Wiley, New York 1989; 32

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