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Computation by Ensemble Synchronization in Recurrent Networks with Synaptic Depression

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Abstract

While computation by ensemble synchronization is considered to be a robust and efficient way for information processing in the cortex (C. Von der Malsburg and W. Schneider (1986) Biol. Cybern. 54: 29–40; W. Singer (1994) Inter. Rev. Neuro. 37: 153–183; J.J. Hopfield (1995) Nature 376: 33–36; E. Vaadia et al. (1995) Nature 373: 515–518), the neuronal mechanisms that might be used to achieve it are yet to be uncovered. Here we analyze a neural network model in which the computations are performed by near coincident firing of neurons in response to external inputs. This near coincident firing is enabled by activity dependent depression of inter-neuron connections. We analyze the network behavior by using a mean-field approximation, which allows predicting the network response to various inputs. We demonstrate that the network is very sensitive to temporal aspects of the inputs. In particular, periodically applied inputs of increasing frequency result in different response profiles. Moreover, applying combinations of different stimuli lead to a complex response, which cannot be easily predicted from responses to individual components. These results demonstrate that networks with synaptic depression can perform complex computations on time-dependent inputs utilizing the ability to generate temporally synchronous firing of single neurons.

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References

  • Abbott LF, Varela JA, Sen K, Nelson SB (1997) Synaptic depression and cortical gain control. Science 275: 220–224.

    Google Scholar 

  • Abeles M (1991) Corticonics. Cambridge University Press, New York.

    Google Scholar 

  • Abeles M, Prut Y (1996) Spatio-temporal firing patterns in the frontal cortex of behaving monkeys. J. Physiol. Paris 90(3/4): 249–250.

    Google Scholar 

  • deCharms RC, Blake DT, Merzenich MM (1998) Optimizing sounds features for cortical neurons. Science 280: 1439–1443.

    Google Scholar 

  • deCharms RC, Merzenich MM (1996) Primary cortical representation of sounds by the coordination of action-potential timing. Nature 381(6583): 610–613.

    Google Scholar 

  • Gray CM, Konig P, Engel AK, Singer W (1989) Oscillatory responses in visual cortex exhibit intercolumnar synchronization which re-flects global stimulus properties. Nature 338: 334–337.

    Google Scholar 

  • Grossberg S (1988) Nonlinear neural networks: Principles, mechanisms and architectures. Studies in Applied Mathematics 52: 217–257.

    Google Scholar 

  • Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural network. Neural Comp. 7: 307–337.

    Google Scholar 

  • Heil P (1997) Auditory cortical onset responses revisited. I. Firstspike timing. J. Neurophysiol. 77(5): 2616–2641.

    Google Scholar 

  • Hopfield JJ (1995) Pattern recognition computation using action potential timing for stimulus representation. Nature 376: 33–36.

    Google Scholar 

  • Hubel DH, Wiesel TN (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J. Physiol. (London) 160: 106–154.

    Google Scholar 

  • Kilgard MP, Merzenich MM (1998) Plasticity of temporal information processing in the primary auditory cortex. Nature Neuro. 1: 727–731.

    Google Scholar 

  • Latham PE, Richmond BJ, Nelson PG, Nirenberg S (2000) Intrinsic dynamics in neuronal networks. J. Neurophysiol. 83: 808–827.

    Google Scholar 

  • Mirollo RE, Strogartz SH (1990) Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 6: 1645–1647.

    Google Scholar 

  • Murphy JT, Kwan HC, Wong YC (1985) Cross-correlation studies in primate motor cortex: Synaptic interaction and shared input. Can. J. Neurol. Sci. 12: 11–23.

    Google Scholar 

  • Nelken I, Rotman Y, Bar-yosef O (1999) Responses of auditory cortex neurons to structural features of natural sounds. Nature 397: 154–157.

    Google Scholar 

  • Phillips D, Sark S (1991) Separate mechanisms control spike numbers and inter-spike intervals in transient responses of cat auditory cortex neurons. Hearing Research 53: 17–27.

    Google Scholar 

  • Riehle A, Grun S, Diesman M, Aertsen A (1997) Spike synchronization and rate modulation differentially involved in motor cortical function. Science 278: 1950–1953.

    Google Scholar 

  • Rosenblatt F (1962) Principles of Neurodynamics: Perceptrons and the Theory of Brain Mechanisms. Spartan, Washington, DC.

    Google Scholar 

  • Singer W (1994) Coherence as an organizing principle of cortical functions. Inter. Rev. Neuro. 37: 153–183.

    Google Scholar 

  • Treves A (1993) Mean-field analysis of neuronal spike dynamics. Network 4: 259–284.

    Google Scholar 

  • Tsodyks M, Markram H (1997) The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. PNAS 94: 719–723.

    Google Scholar 

  • Tsodyks M, Pawelzik K, Markram H (1998) Neural networks with dynamic synapses. Neural Computation 10: 821–835.

    Google Scholar 

  • Tsodyks M, Uziel A, Markram H (2000) Synchorony generation in recurrent networks with frequency-dependent synapses. J. Neurosci. 20RC1: 1–5.

    Google Scholar 

  • Tuckwell HC (1988) Introduction to Theoretical Neurobiology. Cambridge, UP, New York.

  • Vaadia E, Aertsen A (1992) Coding and computation in the cortex: Single-neuron activity and cooperative phenomena. In: A Aertsen, V Braitenberg, eds. Information Processing in the Cortex. Springer, Berlin, pp. 81–121.

    Google Scholar 

  • Vaadia E, Haalman I, Abeles M, Bergman H, Prut Y, Slovin H, Aertsen A (1995) Dynamics of neuronal interactions in monkey cortex in relation to behavioral events. Nature 373: 515–518.

    Google Scholar 

  • van Vreeswijk C, Abbott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1: 313–321.

    Google Scholar 

  • van Vreeswijk C, Hansel D (2001) Patterns of synchrony in neural networks with spike adaptation. Neural Computation 13: 959–992.

    Google Scholar 

  • Villa A, Tetko IV, Hyland B, Najem A (1999) Spatiotemporal activity patterns of rat cortical neurons predict responses in a conditioned task. PNAS 96: 1106–1111.

    Google Scholar 

  • Von der Malsburg C, Schneider W (1986) A neural cocktail-party processor. Biol. Cybern. 54: 29–40.

    Google Scholar 

  • Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. Journal 12: 1–24.

    Google Scholar 

Download references

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Loebel, A., Tsodyks, M. Computation by Ensemble Synchronization in Recurrent Networks with Synaptic Depression. J Comput Neurosci 13, 111–124 (2002). https://doi.org/10.1023/A:1020110223441

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  • DOI: https://doi.org/10.1023/A:1020110223441

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