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Christodoulou C, Bugmann G, Clarkson T (2002) A Spiking Neuron Model: Applications and Learning. Neural Networks 15:891-908

References and models cited by this paper

References and models that cite this paper

Abbott LF, Kepler TB (1990) Model neurons: from Hodgkin Huxley to Hopfield. Statistical Mechanics of Neural Networks Lecture Notes in Physics, Garrido L, ed. pp.5

Bernander O, Douglas RJ, Martin KA, Koch C (1991) Synaptic background activity influences spatiotemporal integration in single pyramidal cells. Proc Natl Acad Sci U S A 88:11569-73 [PubMed]

Borst A, Egelhaaf M (1995) Visuomotor coordination in flies. The handbook of brain theory and neural networks., Arbib MA, ed. pp.1031

Bressloff PC, Taylor JG (1991) Discrete Time Leaky Integrator Network with Synaptic Noise. Neural Networks 4:789-801

Buchner E (1976) Elementary movement detectors in an insect visual system. Biol Cybern 24:85-101

Buchner E (1984) Behavioural analysis of spatial vision in insects. Photoreception and vision in invertebrates, Ali MA, ed. pp.561

Bugmann G, Christodoulou C, Taylor JG (1997) Role of temporal integration and fluctuation detection in the highly irregular firing of a leaky integrator neuron model with partial reset. Neural Comp 9:985-1000

Burgi PY, Pun T (1991) Figure-ground separation: evidence for asynchronous processing in visual perception?. Perception 20:69

Burke RE, Rudomin P (1977) Spinal neurons and synapses. Handbook of Physiology, The nervous system, Section 1, Kandel ER, ed. pp.877

Bush PC, Douglas R (1991) Synchronization of bursting action potential discharge in a model network of neocortical neurons Neural Comp 3:19-30

Butz EG, Cowan JD (1974) Transient potentials in dendritic systems of arbitrary geometry. Biophys J 14:661-89 [PubMed]

Christodoulou C, Bugmann G (2001) Near Poisson-type firing produced by concurrent excitation and inhibition. Biosystems 58:41-8 [PubMed]

Christodoulou C, Bugmann G (2001) Coefficient of Variation (CV) vs Mean Interspike Interval (ISI) curves: what do they tell us about the brain? Neurocomputing 38-40:1141-1149

Christodoulou C, Bugmann G, Taylor JG, Clarkson T (1992) An extension of the Temporal Noisy-Leaky Integrator neuron and its potential applications. Proc. of the Int. Joint Conf. on Neural Networks Beijing III:165-170

Christodoulou C, Clarkson TG, Bugmann G, Taylor JG (2000) Analysis of Fluctuation-Induced firing in the presence of inhibition. Proc. Int Joint Conf on Neural Networks, Como, Italy III:115-120

Christodoulou C, Taylor JG, Clarkson T (1995) Temporal pattern detection and recognition using the Temporal Noisy-Leaky Integrator neuron model with the postsynaptic delays trained using Hebbian Learning. Proc. of the World Congress on Neural Networks (WCNN'95), Washington, DC, USA 3:34-37

Clarkson TG, Ng CK, Gorse D, Taylor JG (1992) Learning Probabilistic RAM Nets using VLSI structures. Ieee Trans On Computers 41:1552-1561

Clarkson TG, Ng CK, Guan Y (1993) The pRAM: An adaptive VLSI chip. IEEE Trans. on Neural Networks 4:408-412

Cronin J (1987) Mathematical aspects of Hodgkin-Huxley neural theory.

Davis L, Lorente_De_No R (1947) Contribution to the mathematical theory of the electrotonus Stud Rockefeller Inst M Res 131:442-496

Ekeberg O, Wallen P, Lansner A, Tra¥ven H, Brodin L, Grillner S (1991) A computer based model for realistic simulations of neural networks. I. The single neuron and synaptic interaction. Biol Cybern 65:81-90 [PubMed]

Feng J, Brown D (1998) Impact of temporal variation and the balance between excitation and inhibition on the output of the perfect integrate-and-fire model. Biol Cybern 78:369-76 [PubMed]

Feng JF, Brown D (1999) Coefficient of variation of interspike intervals greater than 0.5. How and when? Biol Cybern 80:291-7 [PubMed]

Fitzhugh R (1961) Impulses and physiological states in theoretical models of nerve membrane Biophys J 1:445-466

Franceschini N (1985) Early processing of colour and motion in a mosaic visual system. Neurosci Res Suppl 2:S17-49

Franceschini N, Pichon JM, Blanes C (1991) Real time visuomotor control: from flies to robots. Proc 5th Ieee Int Conf Adv Robotics :931-935

Franceschini N, Pichon JM, Blanes C (1992) From insect vision to robot vision. Philos Trans R Soc Lond B Biol Sci 337:283-294

Franceschini N, Riehle A, Nestur LEA (1989) Directionally selective motion detection by insect neurons. Facets Of Vision, Stavenga DG:Hardie RC, ed. pp.360

Fusi S, Annunziato M, Badoni D, Salamon A, Amit DJ (2000) Spike-driven synaptic plasticity: theory, simulation, VLSI implementation. Neural Comput 12:2227-58

Gerstner W (1999) Spiking neurons Pulsed Neural Networks, Mass W:Bishop CM, ed. pp.3

Gerstner W, Kempter R, van Hemmen JL, Wagner H (1996) A neuronal learning rule for sub-millisecond temporal coding. Nature 383:76-81 [PubMed]

Gerstner W, Kempter R, Van_hemmen J, Wagner H (1997) A developmental learning rule for coincidence tuning in the barn owl auditory system. Computational neuroscience: trends in research 1997., Bower J, ed. pp.665

Harrison RR, Koch C (1999) A robust analogue VLSI motion sensor based on the visual system of the fly. Autonomous Robots 7:211-224

Hassenstein B, Reichardt W (1956) Systemtheoretische Analyse der Zeit-, Reinfolgen-und Vorzeichenauswertung bei der Bewegungsperzeption des Russelkafers Chlorofaphanus. Z Naturforsch 11:513-524

Hausen K, Egelhaaf M (1989) Neural mechanisms of visual course control in insects. Facets Of Vision, Stavenga DG:Hardie RC, ed. pp.391

Hebb DO (1949) The Organization Of Behavior

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]

   Squid axon (Hodgkin, Huxley 1952) (LabAXON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (NEURON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SNNAP) [Model]
   Squid axon (Hodgkin, Huxley 1952) used in (Chen et al 2010) (R language) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SBML, XPP, other) [Model]

Hodgkin AL, Rushton WAH (1946) The electrical constants of a crustacean nerve fibre Proc R Soc London B Biol Sci 133:444-479

Holmes WR (1986) A continuous cable method for determining the transient potential in passive dendritic trees of known geometry. Biol Cybern 55:115-24 [PubMed]

Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci U S A 81:3088-92 [PubMed]

Hopfield JJ (1994) Phys Today 47:40

Hopfield JJ (1995) Pattern recognition computation using action potential timing for stimulus representation. Nature 376:33-6 [PubMed]

Hopfield JJ (1996) Transforming neural computations and representing time. Proc Natl Acad Sci U S A 93:15440-4 [PubMed]

Hopfield JJ, Herz AV (1995) Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons. Proc Natl Acad Sci U S A 92:6655-62 [PubMed]

Horwitz B (1981) An analytical method for investigating transient potentials in neurons with branching dendritic trees. Biophys J 36:155-92 [PubMed]

Horwitz B (1983) Unequal diameters and their effects on time-varying voltages in branched neurons. Biophys J 41:51-66 [PubMed]

Indiveri G, Douglas R (2000) Robotic vision. Neuromorphic vision sensors. Science 288:1189-90

Jack JJB, Noble D, Tsien RW (1983) Linear cable theory Electrical Current Flow in Excitable Cells, Jack JJB:Noble D:Tsien RW, ed. pp.25

Katz B (1969) The Release Of Neural Transmitter Substances

Kempter R, Gerstner W, van_Hemmen JL (1999) Hebbian learning and spiking neurons Physical Review E 59:4498-4514 [Journal]

Koch C, Mathur B (1996) Neuromorphic Vision chips. IEEE Spectrum :38-46

Koch C, Poggio T, Torre V (1982) Retinal ganglion cells: a functional interpretation of dendritic morphology. Philos Trans R Soc Lond B Biol Sci 298:227-63 [PubMed]

Koch C, Poggio T, Torre V (1986) Computations in the vertebrate retina: Gain enhancement, differentiation and motion discrimination. Trends Neurosci 9:204-211

Koch C, Segev I (1998) Methods In Neuronal Modeling

Kohonen T (1988) Self-organization And Associative Memory

Konig P, Engel AK, Singer W (1996) Integrator or coincidence detector? The role of the cortical neuron revisited. Trends Neurosci 19:130-7 [PubMed]

Lapique L (1907) Researches quatatives sur l'excitation electrique des nerfs traitee comme une polarization. J Physiol Pathol Gen 9:620-635

Larkum ME, Zhu JJ, Sakmann B (1999) A new cellular mechanism for coupling inputs arriving at different cortical layers. Nature 398:338-41 [PubMed]

Markram H, Lubke J, Frotscher M, Sakmann B (1997) Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science 275:213-5 [PubMed]

Mcculloch WS, Pitts W (1943) A Logical Calculus of Ideas Immanent in Nervous Activity Bull Math Biophysics 5:115-133

Nagumo JS, Arimato S, Yoshizawa S (1962) An active pulse transmission line simulating a nerve axon Proc IRE 50:2061-2070

Nelson ME (1994) A mechanism for neuronal gain control by descending pathways Neural Comp 6:255-269

Nicholls JG, Martin ARBG, Wallace BG (1992) From Neuron To Brain: A Cellular And Molecular Approach To The Function Of The Nervous System

Poggio T, Torre V (1978) A new approach to synaptic interactions Theoretical Approaches To Complex Systems, Heim R:Palm G, ed. pp.89

Pun RYK, Neale EA, Cuthrie PB, Nelson PG (1986) Active and Inactice central synapses in the cell culture. J Neurophysiol 56:1242-1256 [Journal]

RALL W (1959) Branching dendritic trees and motoneuron membrane resistivity. Exp Neurol 1:491-527 [PubMed]

Rall W (1964) Theoretical significance of dendritic trees for neuronal input output relations Neural Theory and Modeling, Reiss RF, ed. pp.73 [Journal]

   Effects of synaptic location and timing on synaptic integration (Rall 1964) [Model]

Rall W (1977) Core conductor theory and cable properties of neurons Handbook of Physiology. The Nervous System. Cellular Biology of Neurons, Kandel ER, ed. pp.39

Rall W, Agmon-snir H (1998) Cable theory for dendritic neurons Methods In Neuronal Modeling: From Ions To Networks, Koch C:Segev I, ed. pp.27

Rapp M, Yarom Y, Segev I (1992) The impact of parallel fiber background activity on the cable properties of cerebellar Purkinje cells Neural Comput 4:518-533

Redman S (1986) Monosynaptic transmission in the spinal cord. Sci 1:171-174

Reichardt W (1961) Autocorrelation: A principle for the evaluation of sensory information by the nervous system Sensory Communication, Rosenblith WA, ed.

Reichardt W (1987) Evaluation of optical motion information by movement detectors. J Comp Physiol [A] 161:533-47 [PubMed]

Reiss M, Taylor JG (1991) Storing temporal sequences Neural Networks 4:773-787

Rieke F, Warland D, de Ruyter van Steveninck, R, Bialek B (1997) Spikes: Exploring The Neural Code

Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition, Segev I, Koch C, ed. pp.251

Rinzel J, Rall W (1974) Transient response in a dendritic neuron model for current injected at one branch. Biophys J 14:759-90 [PubMed]

Rumelhart DE, Hinton GE, Williams RJ (1986) Learning representations by back-propagating errors. Nature 323:533-536

Segev I, Burke RE (1998) Compartmental models of complex neurons Methods In Neuronal Modeling, Koch C:Segev I, ed. pp.93

Senn W, Markram H, Tsodyks M (2001) An algorithm for modifying neurotransmitter release probability based on pre- and postsynaptic spike timing. Neural Comput 13:35-67 [PubMed]

Senn W, Schneider M, Ruf B (2002) Activity-dependent development of axonal and dendritic delays, or, why synaptic transmission should be unreliable. Neural Comput 14:583-619 [PubMed]

Shadlen MN, Newsome WT (1994) Noise, neural codes and cortical organization. Curr Opin Neurobiol 4:569-79 [PubMed]

Shadlen MN, Newsome WT (1998) The variable discharge of cortical neurons: implications for connectivity, computation, and information coding. J Neurosci 18:3870-96 [PubMed]

Silberberg G, Tsodyks M, Markram H (2000) Differential impact on neuronal discharge of changing mean current vs current noise. Eur J Neurosci 12:502

Softky WR, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J Neurosci 13:334-50 [PubMed]

Song S, Miller KD, Abbott LF (2000) Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nat Neurosci 3:919-26 [PubMed]

Stein RB (1967) The frequency of nerve action potentials generated by applied currents. Proc R Soc Lond B Biol Sci 167:64-86

Stevens CF, Zador AM (1998) Input synchrony and the irregular firing of cortical neurons. Nat Neurosci 1:210-7 [PubMed]

Stuart GJ, Sakmann B (1994) Active propagation of somatic action potentials into neocortical pyramidal cell dendrites. Nature 367:69-72 [PubMed]

Taylor JG (1972) Spontaneous behaviour in neural networks. J Theor Biol 36:513-28

Taylor WR, He S, Levick WR, Vaney DI (2000) Dendritic computation of direction selectivity by retinal ganglion cells. Science 289:2347-50 [PubMed]

Tsodyks MV, Sejnowski TJ (1995) Rapid state switching in balanced cortical network models Network 6:111-124

Tuckwell HC (1988) Introduction To Theoretical Neurobiology: Vol 1, Linear Cable Theory And Dendritic Structure

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

van Vreeswijk C, Sompolinsky H (1998) Chaotic balanced state in a model of cortical circuits. Neural Comput 10:1321-71 [PubMed]

Walmsley B, Stuklis R (1989) Effects of spatial and temporal dispersion of synaptic input on the time course of synaptic potentials. J Neurophysiol 61:681-7 [Journal]

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